The solution to x^2 - 4x = 5 is x = -1 or 5
How to solve the equation?The equation is given as:
x^2 - 4x = 5
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add this value to the sides of the equation
x^2 - 4x + 4= 5 + 4
Express as a difference of two squares
(x - 2)^2 = 9
Take the square root of both sides
x - 2 = ±3
Add 2 to both sides
x = 2 ± 3
Evaluate
x = -1 or 5
Hence, the solution to x^2 - 4x = 5 is x = -1 or 5
Read more about quadratic equations at:
https://brainly.com/question/10449635
#SPJ1
A face of a solid is
any one of the flat surfaces of a prism or a pyramid.
a pattern of two-dimensional shapes that can be folded to form a solid figure.
a solid figure with a base that is a polygon and sides that are triangles that meet at the top.
the total area of the surface of a solid figure.
A face of solid is given by
any one of the flat surfaces of a prism or a pyramid. a pattern of two-dimensional shapes that can be folded to form a solid figure.What is faces?" Faces are defined as the flat surfaces of any object enclosed by its edges or sides . It is always 2-dimensional."
According to the question,
A face of a solid,
any one of the flat surfaces of a prism or a pyramid : Any one of the flat surfaces prism and pyramid represents two dimensional shape.It is a correct answer.
a pattern of two-dimensional shapes that can be folded to form a solid figure : Represents two dimensional and face of a solid is two dimensional .It is a correct answer.
polygon and sides that are triangles that meet at the top: represents three dimensional shape.It is not a correct answer.
the total area of the surface of a solid figure: represents three dimensional shape.It is not a correct answer.
Hence, a face of solid is given by
any one of the flat surfaces of a prism or a pyramid. a pattern of two-dimensional shapes that can be folded to form a solid figure.Learn more about faces here
https://brainly.com/question/15974556
#SPJ3
Answer:
the second one
Step-by-step explanation:
PLease help me solve this
Answer: 729
Step-by-step explanation:
[tex]\frac{1}{3^{-2} * 3^{-4} * (-1)^{2} }[/tex]
3^-2 = 1/9
3^-4 = 1/81
(-1)^2 = 1
1/(1/9 * 1/81 * 1)
1/ 1/729 = 729
Chad created a table that shows the ratio of his sports game cards.
Chad’s Cards
Card Type
Outfield
Infield
Catcher
Pitchers
Quantity
3
4
1
2
Next, Chad created the graph below showing possible ratios for Pitchers cards to Infield cards in his deck. Which of the following statements are true?
On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.
Chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a Catcher card.
Chad should not have included the values (1, 2) and (3, 6) because the ratio would be different for these points.
Chad should have changed the axes for the Infield and Pitchers cards so it was the same order as the table.
Chad needs to switch the order of each (x, y) value to show the decreasing values of the Pitchers cards.
The true statement for Chad graph is that:
On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.What is a coordinate plane?A coordinate plane is known to be a kind of two-dimensional plane that is often created by two number lines of intersection.
Note that there is the horizontal number line known as the x-axis and the vertical number line also called the y-axis.
Looking at the question (Image attached), for every two offense, there is 4 defense.
So we can say that the proportion of offense to defense is 1:2
Therefore, the correct value or the graph is (1, 2), (2, 4), (3, 6), and (4, 8) as it doubles itself.
The true statement for Chad graph is that:
On a coordinate plane, a graph titled Chad's Cards has Damage on the x-axis and Defense on the y-axis. Points (1, 2), (2, 4), (3, 6), and (4, 8) are plotted.Therefore, option A is correct.
Learn more about Plane from
https://brainly.com/question/2644832
#SPJ1
Answer: A
Step-by-step explanation: I did the test and got it right
A function, h(x), is defined as shown.
-X - 4, X ≤ 0
4
h(x) =
글 x-3,0 < x≤ 3
2/x-2₁
-X2, X2 4
Which graph represents h(x)?
From the below graph option B is correct.
What is graph function?The graph of a function f is the set of all points in the plane of the form (x, f(x)).
It is also define as the graph of f to be the graph of the equation y = f(x).
Given,
Three different function for h(x)
[tex]\frac{1}{4}x -4 , x \leq 0\\ \\\frac{1}{3} x -3, 0 < x \leq 3\\\\\frac{1}{2} , x\geq 4[/tex]
From the above function,
x ≤ 0, the slope of the graph of h(x) is [tex]\frac{1}{4}[/tex]
0 < x ≤ 3, the slope of the graph of h(x) is [tex]\frac{1}{3}[/tex]
x ≥ 4, the slope of the graph of h(x) is [tex]\frac{1}{2}[/tex]
As we progress from left to right,
The slope of h(x) increases and the slope of the graph becomes steeper.
Therefore,
The graph starts at (4,0) and goes to the right.
Graph is missing in this question, So you might be referring to the one attached.
Learn more about function of graph here:https://brainly.com/question/27757761
#SPJ1
Answer:it’s option 2
Step-by-step explanation:
Which set of rectangular coordinates describes the same location as the
polar coordinates (3-√2.37)?
4
The rectangular coordinates will be (2.999, -0.1239)
What are different Coordinate System ?The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.
Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.
The equations used to convert from polar coordinates to rectangular coordinates.
x=rcosθ
y=rsinθ
z=z
For the polar coordinates
(3-√2.37)
r = 3
[tex]\rm \theta \\[/tex] = -√2.37
x = 3cos (-√2.37)
x = 3 *0.999
x =2.999
y = 3 sin.(-√2.37)
y = 3*(-0.0413)
y = -0.1239
Therefore the rectangular coordinates will be (2.999, -0.1239)
To know more about Coordinate System
https://brainly.com/question/13498438
#SPJ1
i needs help please
Answer:
Angle of Elevation
If a person is looking up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. Angle of elevation problems can be solved by using trigonometry as the problem can be modeled as a right triangle.
The MIB agent is on the ground looking up at the alien at the top of the CN tower, and we need to find the angle he should shoot his laser gun. Therefore, we need to find the angle of elevation.
Diagram attached, where [tex]x[/tex] is the angle of elevation.
To find the angle of elevation, use the tan trig ratio:
[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]
where:
[tex]x[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
O = 553.3 mA = 67 mSubstituting the given values into the formula and solving for x:
[tex]\implies \tan(x)=\sf \dfrac{553.3}{67}[/tex]
[tex]\implies x= \tan^{-1} \left(\sf \dfrac{553.3}{67}\right)[/tex]
[tex]\implies x=83.09557654...^{\circ}[/tex]
Therefore, the angle of elevation is 83° (to the nearest degree).
The ________ could be used to describe a data set by itself, while ___________ would almost never be used to describe a data set by itself.
A. mean ; interquartile range
B. range ; mean
C. interquartile range ; mean
D. mean ; range
The mean could be used to describe a data set by itself, while interquartile range would almost never be used to describe a data set by itself.
What is Descriptive statistics?These are operations which are used to summarize certain characteristics a set of data has.
Mean and range deals with the full set of data while interquartile range measures just the middle half of the data and is denoted as option A.
Read more about Descriptive statistics here https://brainly.com/question/6990681
#SPJ1
Which property justifies the following if angle A is congruent to angle B and angle b is congruent to angle C then angle a is congruent to angle c
Answer: Transitive property of congruence
In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student is a
female given that they have an A?
The probability that a student is a female given that they have an A is; 2/7
How to find the probability?From the given table, we see that;
Number of males that got A = 4
Number of males that did not get A = 8
Number of females that got A = 6
Number of females that did not get A = 3
The probability that a student is a female given that they have an A is;
P(Female|A) = 6/(4 + 8 + 6 + 3)
P(Female|A) = 6/21 = 2/7
Read more about Probability at; https://brainly.com/question/24756209
#SPJ1
22. Which is an expression for the area
of ABC?
Answer:
C
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] product of 2 sides × sin ( angle between the 2 sides )
We are only given 1 side (AC) so require to find AB or BC using the Sine rule
the third angle B = 180° - (48 + 67)° = 180° - 115° = 65°
using the Sine rule to find AB
[tex]\frac{AB}{sin67}[/tex] = [tex]\frac{15}{sin65}[/tex] ( cross- multiply )
AB × sin65° = 15 × sin67° ( divide both sides by sin65° )
AB = [tex]\frac{15sin67}{sin65}[/tex]
Now
A = [tex]\frac{1}{2}[/tex] × AB × AC sin48°
= [tex]\frac{1}{2}[/tex] × [tex]\frac{15sin67}{sin65}[/tex] × 15sin48°
= [tex]\frac{15sin67}{2sin65}[/tex] × 15sin48° → C
WHAT IS THE VALUE OF X ?
NEED THIS ANSWER QUICK!!
Answer:
8.5
Step-by-step explanation:
24x = 17 ×12
24×= 204
divide each side to get your awnser.
what percent of their gross pay is being withheld
Here is a hexagon.
Work out the value of x.
150°
140°
56°
Answer:
x = 142
Step-by-step explanation:
The sum of the internal angles in a hexagon is 720°
2x° + 150° +56° + 140° +90° = 720
2x° + 436° = 720°
2x° = 720 - 436
x° = [tex]\frac{284}{2} =142[/tex]
Hope this helps
Two corresponding sides of two similar triangles are 3 cm and 5 cm. The area of the first triangle is 12 cm. What is the area of the second triangle?
Since the are of the first triangle is 12 cm², the area of the second triangle is 33.33 cm².
To answer the question, we need to know what similar triangles are
What are similar triangles?Similar triangles are triangles in which the ratio of their corresponding sides is constant.
Given that the corresponding sides of the two similar triangles are 3 cm and 5 cm respectively. Also, the area of the first triangle is 12 cm². We need to find the area of the second triangle.
Area of second triangleSince the triangles are similar, we have that
(side of second triangle/side of first triangle)² = Area of second triangle/Area of first triangle
Area of second triangle = (side of second triangle/side of first triangle)² × Area of first triangle
= (5 cm/3 cm)² × 12 cm²
= 25/9 × 12 cm²
= 25/3 × 4 cm²
= 100 cm²/3
= 33.33 cm²
So, the area of the second triangle is 33.33 cm².
Learn more about similar triangles here:
https://brainly.com/question/21874065
#SPJ1
One positive number is 5 times another number. The difference between the two numbers is 1432, find the
numbers.
Answer:
358 , 1790
Step-by-step explanation:
Describe What Anime Is
(In 2 or 3 sentences)
Pls don’t copy and paste from G00gI3
Answer:
Anime is animation from japan
Which combined inequality has the same solution set shown in the graph?
Number line ranging from negative sixteen to zero with a line beginning with a close point at negative twelve and continuing to the left without end, and a second line beginning with a closed point at negative five and continuing to the right without end.
a ≤ –12 or a > 5
a ≤ –12 or a > –5
–a ≤ –12 or a > –5
–a ≤ –12 or a < –5
Step-by-step explanation:
there is a problem here. based on your textual description none of the 4 answer possibilities are right.
you said, one line starts with a closed (filled) point at -12 and going to the left (without end). a closed point means the point is included.
so, everything -12 and smaller.
that is a <= -12
the other line starts with a closed (filled) point at -5 and goes to the right without end.
this is a >= -5
so, if your textual description is right, you need an answer option
a <= -12 or a >= -5
FYI
the answer options with -a <= -12 don't make much sense, because that simply means a >= 12. and you don't have any line starting at plus 12 and going to the right.
What is the symbolic representation for this argument?
If a polygon has exactly three sides, then it is a triangle.
Jeri drew a polygon with exactly three sides.
Therefore, Jeri drew a triangle.
The symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.
What is a polygon?A polygon is a plane figure with at least three straight sides and angles, typically five or more.
In this case, the symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.
Learn more about polygon on:
https://brainly.com/question/1592456
#SPJ1
Answer:d
Step-by-step explanation:
I don’t know but I got it right:)
need help on how to use percent box
20% of 25
please help me Im almost done
Answer:
[tex]\mathsf {x = 76}[/tex]
Step-by-step explanation:
The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.
[tex]\textsf {Solving :}[/tex]
[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]
[tex]\implies \mathsf {x + 104 = 180}[/tex]
[tex]\implies \mathsf {x = 180 - 104}[/tex]
[tex]\implies \mathsf {x = 76}[/tex]
Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework questions assigned after a certain number of school days.
After 16 days, how many total homework questions have been assigned?
A:60
B:80
C:95
D:115
Answer:
B
Step-by-step explanation:
First, we have to find the rate of change for this problem. To do this, we subtract any two numbers of days and the coordinating two total questions. Let's just use the first two rows. 8-4=4, and 40-20=20. For every 4 days, he answers 20 questions. We can further simplify this by dividing both sides by 4. 4/4=1, and 20/4=5. For every 1 day, he answers 5 questions. Now, to find 16 days, we just multiply both sides by 16. 16*1=16 and 16*5=80. For every 16 days, he answers 80 questions. 80 is our answer.
Hope this helps!
If y varies directly as as x and y=12 when x=4, find y when x=12
Answer:
y=48
Step-by-step explanation:
Identify the exponent and the base in the following term [tex]8^{4}[/tex] then simplify.
base =
exponent =
The simplified result is =
XD
45 Points!
The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below.
A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and
the Sun.
Answer:
by using pythagoras theorem
Step-by-step explanation:
the distance between sun and moon is hypoteneous
the distance between earth and sun is perpndicular
and distance between earth and moon is base
we can use,
tanx°=distance betwwen earth and sun/ distance betweenearth and moon
or,
sinx°= distance between earth and sun/ distance between sun and moon
we can use other formulas also same as above 2 examples
Hope ithelps
Answer:
The scientist can use trigonometry to figure out the distance between the Moon and Sun. More specifically, using sine (sin).
Step-by-step explanation:
Label the triangle first.
- x should be theta
- y would be opposite (o) as it is across/opposite from the side where x is
- the distance between the sun and moon would be hypotenuse (h), as it's opposite of the right angle.
The calculation that has o and h in it's formula is sine. The formula looks like :
Sin(Ф) = [tex]\frac{o}{h}[/tex]
To solve for the distance between the Sun and Moon, we plug it into the formula and solve
Sin(x) = [tex]\frac{d}{y}[/tex]
- where d is the distance between the Sun and Moon
hope this helps !! :D
Mark transferred songs from his computer onto his portable music player. He transferred songs in minutes. How many songs did he transfer per minute?
Answer:
Need more info
Step-by-step explanation:
You're working with rates. It's relatively straight forward. Take miles per hour for instance. If you travel 60 miles in one hour, you're rate of speed is 60 miles per hour.
You haven't given any data in this example but the idea is the same. Let's say he transferred 10 songs in 5 minutes. That's means his rate is 10 songs per 5 minutes. You can change that to a fraction so it's easier to understand:
[tex]\frac{10 songs}{5minutes}[/tex]
Now just reduce the fraction and it becomes
[tex]\frac{2 songs}{1 minute}[/tex]
Also known as 2 songs per minute
I NEED THIS NOW PLSSSSS
In terms of the number of moose, what is the relative frequency of male moose, female moose, adult moose, and baby moose? Write your answers as simplified fractions.
Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28
The relative frequencies for the given table are:
Male → 13/44Female → 17/86Adult → 29/86Baby → 7/43How to get the relative frequencies?
The relative frequency of a given element out of a set, is given by the quotient between the number of that element and the total number of the set.
Here we can see that the total number of moose is:
52 + 34 + 58 + 28 = 172
There are 52 male moose, then the relative frequency for male moose is:
M = 52/172 = 26/86 = 13/44
There are 34 female moose, then the relative frequency is:
F = 34/172 = 17/86
There are 58 adult moose, so the relative frequency is:
A = 58/172 = 29/86
There are 28 baby moose, so the relative frequency is:
B = 28/172 = 14/86 = 7/43
If you want to learn more about relative frequency:
https://brainly.com/question/3857836
#SPJ1
EGG DROP The physics class is holding an egg drop competition. The formula h= −16t2+h0 can be used to approximate the number of seconds, t, it will take for the eggs to reach height, h, from an initial height of h0 in feet.
Find the time it takes an egg to reach the ground if it is dropped from an initial height of 40 feet. Round to the nearest hundredth, if necessary.
By solving a quadratic equation we will see that the egg will hit the ground after 1.58 seconds.
How long will take the egg to reach the ground?
Here we know that the initial height of the egg is 40ft, so the equation for the height will be:
[tex]h(t) = -16*t^2 + 40[/tex]
The egg will hit the ground when h(t) = 0, so we need to solve the quadratic equation:
[tex]h(t) = -16*t^2 + 40 = 0\\\\16t^2 = 40\\\\t^2 = 40/16\\\\t = \sqrt{40/16} = 1.58[/tex]
This means that the egg will hit the ground after 1.58 seconds.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
A bus company operates services to and from the East, North,South and West regions of the country. A recent report from the Operations Manager contains the following summary of their operations. "The total number of passenger journeys made on our services was 430,000. Of these, 124,000 were to and from the North, 61,000 to and from the South, and 80,000 to and from the East. Passengers used bus passes to pay for 158,000 of the total number of journeys: 43,000 on northern services, 51,000 on western services, and 35,000 on eastern services. Passengers who did not use a bus pass paid for their journeys in cash", Construct a two-way tabulation with rows for the country regions and columns for the method of payment. Work out the figures that are not quoted in the summary by using the information provided.
To find the number going to and from West is 165,000.
The number of bus passes from Southern services is 29,000.
The two-way tabulationEast------------------- 80,000
North------------------- 124,000
South------------------- 61,000
West-------------------- 165,000
Total--------------------------- 430,000
To find the number going to and from West:
80,000 + 124,000 + 61,000 + x = 430,000
265,000 + x = 430,000
x = 430,000 - 265,000
x= 165,000.
Table for the method of paymentBus Passes
Northern services-------------------- 43,000
Western services-------------------- 51,000
Eastern services---------------------- 35, 000
Southern services---------------------- 29,000
Total----------------------------------------------158,000
Let x be the unknown variable,
43,000 + 51,000 + 35,000 + x = 158,000
129,000 + x = 158,000
x= 158,000 - 129, 000
x= 29,0000
Read more about a frequency table here:
https://brainly.com/question/3712144
#SPJ1
Which data set could be represented by the box plot shown below?
Answer:
B
Step-by-step explanation:
A box and whisker plot is a graphical representation of the 5-number summary of a data set. It shows the minimum, maximum, median, and the values of the 1st and 3rd quartiles. Here, you're asked to identify the data set having the same 5-number summary as that shown in the plot.
__
extremesThe minimum of the data set is shown by the end of the left "whisker." The plot shows a minimum value of 41. Choice C has a minimum of 40, so is not the data set we're looking for.
The maximum of the data set is shown by the end of the right whisker. The plot shows a maximum of 50, matching all of the answer choices shown.
medianThe median of the data set is shown by the vertical line in the middle of the box. Here, the median of the data set is indicated as 44. This will be the middle value, or the average of the two middle values of the set of data.
These sets of data have 10 values, an even number, so the median is the average of the middle two.
Choices A and B have a middle pair of 43 and 45, which means their median is (43+45)/2 = 44. Choice D has a middle pair of 43 and 47, so a median of (43+47)/2 = 45. Choice D is not the data set we're looking for.
quartilesThe 1st and 3rd quartiles of the data set are shown by the left and right ends of the box, respectively. They are indicated as being 43 and 48.
The median divides the data set into two parts. It is not considered to be a member of either part. The 1st quartile is the median of the lower (left) part. The 3rd quartile is the median of the upper (right) part.
Here, each part has 5 data values, so the quartile values are 3rd from the ends of the data set. In choice A, they are 43 and 49, not a match to the given plot. In choice B, they are 43 and 48, matching the values in the given box plot.
The data set in choice B could be represented by the box plot shown.
2/
For all values of x,
f(x)=2x-3
and
a) Find fg(x).
Simplify and give your answer in the form ax² + b
b) Find gf(x).
Simplify and give your answer in the form ax² + bx + c
g(x) = x² + 1
Answer:
2/
For all values of x,
f(x)=2x-3
and
a) Find fg(x).
Simplify and give your answer in the form ax² + b
b) Find gf(x).
Simplify and give your answer in the form ax² + bx + c
g(x) = x² + 1
Step-by-step explanation: