Answer:
y = 3x - 8
Step-by-step explanation:
Finding the equation in point-slope form is easier. The result can then be put into slope-intercept form.
The point-slope formula is y - k = m(x - h). With the given point (h, k) being (4, 4), h = 4 and k = 4. The slope is 3. Therefore, we have:
y - 4 = 3(x - 4), or
y = 4 + 3x - 12
This simplifies to the slope-intercept form y = 3x - 8
An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.
Calculate the upper bound of the perimeter of this triangle.
Answer:
15.5 cm
Step-by-step explanation:
Since it's corrected to the nearest centimeter, the place value of the units place is 1.
1/2 = 0.5
Upper bound = 15 + 0.5 = 15.5 cm
Hope this helps!
Which function is increasing at the highest rate?
A.
x 1 2 3 4 5
g(x) -5 -4 -3 -2 -1
B.
C.
A linear function, f, with an x-intercept of 8 and a y-intercept of -4.
D.
Find measure of angles B, E, D and C and the length of BC
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
ORX)-(3x? -x-5)(2x-5
1 x) = (3x* +2x)"
o 9x)= (4x2-7)
OM) - Bx - 4y - 1) (3,2-4
===========================================================
Explanation:
For each expression in the parenthesis of choice A, focus only on the leading terms. Those would be the terms to the very left. The leading terms 3x^2 and 2x^6 multiply to 6x^8. This is the leading term of the final expansion and it's of degree 8. Any degree 8 polynomial will have 8 roots according to the fundamental theorem of algebra. Some of those roots may be complex numbers, or they may be purely real numbers.
Choice B can be ruled out because the leading term 3x^4 is raised to the 4th power to get (3x^4)^4 = 81x^16 as the leading term of the final expansion. This polynomial has 16 roots, but we want 8 roots instead.
Choice C is a similar story to choice B. In this case, we have (4x^2)^3 = 64x^6 as the leading term when you expand everything out. This 6th degree polynomial has 6 roots.
And finally, choice D can be ruled out as well. We follow the same steps as choice A. The leading terms from each parenthesis group multiply to 6x^8*3x^2 = 18x^10 showing we have 10 roots (due to the 10th degree polynomial).
if ab is parallel to cd and slop of ab is -3 what is the slope of cd
Answer:
-3
Step-by-step explanation:
Parallel lines share the same slope. Therefore, the slope of cd is -3.
What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area
Answer:
29.4 cm^2
Step-by-step explanation:
We can use a proportion to find the height:
120 : 100 = x : 7
x = (120 *7)/100 = 8.4 cm
Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2
Answer:
29.4cm²
Step-by-step explanation:
First we are going to find 120% of 7.
7 × [tex]\frac{120}{100}[/tex] = 8.4 cm
Therefore, 8.4 cm is the height.
Area = [tex]\frac{1}{2}[/tex] Base × Height
= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²
You need a 70% alcohol solution. On hand, you have a 420 mL of a 85% alcohol mixture. How much pure water will you need to add to obtain the desired solution?
Answer:
Pure water =74.1 mL
Step-by-step explanation:
You need 420 mL of a 70% alcohol solution.
420 mL of solution and 70% of it should be alcohol.
So,
420 * 70/100 mL
= 420 * 0.7
= 294 mL of alcohol and the rest should be water.
On hand, you have a 85% alcohol mixture.
The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:
Let
y = alcohol solution needed
85% of y = 294
85/100 * y = 294
y = 294 ÷ 85/100
y = 294 × 100/85
y = 29,400/85
y = 345.88235294117
Approximately, 345.9mL
The rest of 420 mL solution has to be pure water
Pure water = 420 mL - 345.9mL
= 74.1 mL
Pure water =74.1 mL
[tex]\sqrt \frac{256}{4\\}[/tex]
Answer:
8
Step-by-step explanation:
[tex]\sqrt{\frac{256}{4} }[/tex]
[tex]\sqrt{\frac{16*16}{2*2} }[/tex]
[tex]\sqrt{(\frac{16}{2})^2 }[/tex]
square and root gets cancel . so ,
[tex]\frac{16}{2}[/tex]
8
Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15. Edgar also owns two par value $1,000 bonds from Cawh Consolidated Bank. The bonds had a market value of 105.166 when he bought them, and pay 8.3% interest yearly. Which aspect of Edgar’s investment in Cawh Consolidated Bank offers a greater percent yield, and how much greater is it? a. The stocks have a yield 6.43 percentage points greater than that of the bonds. b. The stocks have a yield 6.84 percentage points greater than that of the bonds. c. The bonds have a yield 1.05 percentage points greater than that of the stocks. d. The bonds have a yield 9.13 percentage points higher than that of the stocks.
Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.
Step-by-step explanation:
Firstly, the yield for stocks will be calculated as:
= return/ investment cost
= $3.15/$ 21.38
= 0.14733395
= 14.73%
The yield for bonds will be calculated as:
= Return/Investment cost
Return = 1,000 x 8.3% = 83
Investment cost = 1,000 x 105.166/100 = 1051.66
Yield = 83/1051.66
= 0.07892284
= 7.89%
Then, the difference between the yield will be:
= 14.73% - 7.89%
= 6.84%
Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.
Answer:
b.The stocks have a yield 6.84 percentage points greater than that of the bonds. Step-by-step explanation: got it right on edge 2022!
Find each product. A. 2/5 • (-10)
B. -8 • (-3/2)
C. 10/6 • 0.6
D. (-100/37) • (-0.37)
Answer:
A. -4
B. 12
C. 1
D. 1
Step-by-step explanation:
change the whole number to fractions and multiply using fraction multiplications.
What is the area of the irregular polygon shown below?
Answer:
86 sq units
Step-by-step explanation:
it is the because:
18*4=72
3.5*4/2=7
7+7+72=86 sq units
There are 48 students in a speech contest. Yesterday, 2/3 of them have their speeches. Today, 7/8 of the remaining students give their speeches. How many students still haven't given their speeches?
Answer:
2 students
Step-by-step explanation:
Given that
There are 48 students out of which 2 by 3 have their speeches and the remaining of 7 by 8 give their speeches
We need to find the no of students who haven't given their speeches
So,
= 48 × 2 ÷ 3
= 32
Now
= (48 - 32) × 7 ÷ 8
= 14
So, the no of students still haven't given their speeches is
= 48 - 32 -14
= 2 students
What is an equation of the line that passes through the points (-5,6) and (7,6)?
A party rental company has chairs and tables for rent the total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3 chairs and 5 tables is $57 what is the cost to rent each chair and each table
Answer:
Let C = cost to rent each chair
Let T = cost to rent each table
4C + 8T = 73
2C + 3T = 28
Multiply the 2nd equation by (-2) and then add the equations together
4C + 8T = 73
-4C - 6T = -56
2T = 17
T = 17/2 = 8.5
Plug this in to the 1st equation to solve for C
4C + 8(17/2) = 73
4C + 68 = 73
4C = 5
C = 5/4 = 1.25
So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
15.
Which of the quadratic functions has the widest graph?
A. 0.3x2
B. -4x2
C. -4/5x2
D. 1/3x2
Answer:
A. 0.3x2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
0.8
¯
3
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
0.8
¯
3
x
y
−
2
1.2
−
1
0.3
0
0
1
0.3
2
1.2
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
1
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
16
x
y
−
2
−
16
−
1
−
4
0
0
1
−
4
2
−
16
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
5
16
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
16
x
y
−
2
−
16
5
−
1
−
4
5
0
0
1
−
4
5
2
−
16
5
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
4
3
−
1
1
3
0
0
1
1
3
3
3
PLEASE HELP!!!!
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .
Answer:
2 in a half 6 player games and 6 and half 2 player games. hope this helps
Step-by-step explanation:
There were 7 two-player games and 6 six-player games played
What are system of equation?
A collection of two or more equations that share the same variables is known as a system of equations. The values of the variables that make all of the equations in a system of equations true are the solution to the system of equations. A point of intersection on the graphs of the equations of a system is known as the solution. A system of equations' solution set is the collection of all possible answers.
Solution:
Given:
Total games = 13
Athletes participated = 50
let x denote the number of 2-player games played and
y denotes the number of 6-player games played
Hence the equations we get are:
x ₊ y = 13 ........eq(1)
2x ₊ 6y = 50 this can be further reduced as
x ₊ 3y = 25 ......eq(2)
Now, solving both the equations using elimination method then we get :
₋2y = ₋12
y = 6
Here we can notice that x is eliminated.
Now substitute y value in eq(1) then we get x as 7.
Hence total 13 games were played out of which 7 two-player and 6 six-palyer games were played.
Learn more about "System of equations" here-
brainly.com/question/2226590
#SPJ2
A student said that a pair of complementary angles cannot also be adjacents. Is the student correct?
Answer:
No
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90 degrees. They may or may not be adjacent.
There can be two adjacent angles inside a 90-degree angle, so therefore, there can be complementary adjacent angles.
The student is not correct.
can someone pls help for brainlest
Answer:
455 square kilometers (km2)
Step-by-step explanation:
Step 1: Find the area of the white square: 11 km x 11 km= 121 km2
Step 2: Find the area of the green square: 24 km x 24 km= 576 km2
Step 3: Subtract the white square from the green square: 576-121= 455
Step 4: The answer is 455 square kilometers (km2). Hope this helped!
(m ^ 2 * n ^ 3)/(n ^ - 2)
Answer:
m²n⁵
Step-by-step explanation:
m²n³ / n-²
The exponent changes sign when "flipped" from division to multiplication
m²n³ * n²
m²n⁵
Answer this please! No links please
Answer:
the arc length is
[tex]2\pi.14. \frac{45}{360} = \frac{7\pi}{2} [/tex]
=> B
Use SOH CAH TOA to find the missing side
b. 9.2
Step-by-step explanation:
cos(52) × 15 gives you the adjacent which is 9.2
Cash in hand $79; Bank overdraft $27
Answer:
Step-by-step explanation:
cash in bank = 79
overdraft = 27
left = 79 - 27
= 52
Use the following situation to answer the questions that follow: A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6.
When is the ball at it's maximum height? Round to the nearest hundredth if needed.
Answer:
22 feet
Step-by-step explanation:
When graphing the equation, the peak or the maximum of the equation is reached the 1st second of the throw and it reaches 22 feet.
A bakery offers a sale price of $3.00 for 4 muffins. What is the price per dozen?
Answer:
9 dollars.
Step-by-step explanation:
A dozen is 12.
12/4 = 3
$3 * 3 = $9
Step-by-step explanation:
3×4=12. 12 is a dozen. $3=4 muffins. $6=8 muffins. 9=12 muffins . so $9 for a dozen
Una empresa quiere confecionar 7²⁰ chompas. Si el 1er día confeccionada los 3/10 del total. El 2do dia los 2/9 del total, ¿cuantas chompas le falta confeccionar? Con cada paso porfavor :(
Answer:
A la empresa le faltan confeccionar 344 chompas.
Step-by-step explanation:
Dado que una empresa quiere confeccionar 720 chompas, si el 1er día confeccionaron los 3/10 del total y el 2do día los 2/9 del total, para determinar cuántas chompas le falta confeccionar se debe realizar el siguiente cálculo:
Día 1:
720 x 3/10 = X
720 x 0.3 = X
216 = X
Día 2:
720 x 2/9 = X
720 x 0.22222 = X
160 = X
720 - 216 - 160 = X
344 = X
Por lo tanto, a la empresa le faltan confeccionar 344 chompas.
At the frozen yogurt shop, Colin pays $3.28 for his treat, which weighs 8 and 1/2 ounces. What is the unit cost (dollars per ounce)? Round to the nearest cent. Write your answer as a decimal
Answer:
39 cents
Step-by-step explanation:
3.38÷8.5=0.39
can someone please help for brainlest
please help thank you
Answer:
50 ft²
Step-by-step explanation:
ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also
2(25) = 50 sq feet
x+y=80
5x+8y=535
what is x and what is y
Answer:
x+y=80 i.e. 5x+5y=400 multiplying both sides by 5
now 5x+8y=535
therefore 3y=535-400=135
therefore y=135/3=45
now x=80-y=80-45=35
therefore final answer x is 35 y is 45
Answer:
x=35, y=45
Step-by-step explanation:
x+y=80=>5x+5y=400 so (5x+8y)-(5x+5y)=535-400
<=>3y=135<=>y=45=>x=80-y=80-45=35
someone please help me!!
Answer:
y= -3x+5
Step-by-step explanation:
It's kind of hard to see but I'm going to assume it looks like
y-2=(1/3)(x-1)
Let's start by converting this into slope-intercept form
y-2=x/3-1/3
y=x/3+2/3
One line is perpendicular to another line if their slopes are negative reciprocals of each other
our slope now is 1/3 which means its negative reciprocal is -3
so we have
y= -3x+b
Plug in the required coordiante to solve for b
2= -3(1)+b
2= -3+b
b= 5
put it together to get
-3x+5