Given the function f(x) = 3x + 1 what is f(-2)?
Answer:
-5
Step-by-step explanation:
f(-2) means that -2 is going to be our input in this function.
To solve this, simply substitute -2 for x in the expression given.
If f(x) = 3x+1, then f(-2) = 3(-2) + 1
3(-2)+1 = -6+1 = -5
Hope this helped!
Answer:
f(-2) = 3(-2) + 1
f(-2) = 6 + 7
Therefore: f(-2) = 7
Jewel is 7 years old and John is 16 years younger than Dave. One year ago, Dvae's age was twice the sum of Jewel's and John's ages. Fine the current age of each of them.
Answer:
Jewel is 7 years old
John is 1 year old
Dave is 17 years old
Step-by-step explanation:
From the question we are told that:
Jewel age is [tex]J=7 years[/tex]
John age [tex]J'=(D-16)years[/tex]
Dave's age a Year ago
[tex]D-1=2(J-1+J'-1)[/tex]
So that Dave.s age this Year could be
[tex]D=2((J-1)+(J'-1))+1[/tex]
Simplifying Equation for Dave's age we have
[tex]D=2((7)-1+(D-16)-1)+1[/tex]
[tex]D=2(6+D-15)+1[/tex]
[tex]D=2(D-9)+1[/tex]
[tex]D=2D-18+1[/tex]
[tex]D=17 Years[/tex]
Dave is 17 years old
Therefore
Johns age is
[tex]J'=(D-16)[/tex]
[tex]J'=17-16[/tex]
[tex]J'=1year old[/tex]
John is 1 year old
PLEASE HELP I REALLY NEED THIS ANSWERED, I NEED THE VOLUME OF BOTH CYLINDERS PLZ DONT USE AN ONLINE CALCULATOR THEY GIVE THE WRONG ANSWER
Answer:
[tex]\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}[/tex]
[tex]\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}[/tex]
Step-by-step explanation:
Volume of cylinder = π × ( radius ) ² × h
1.) Here, radius = 4.25 in and height = 14 in.
Volume of cylinder = π × ( radius ) ² × height
substitute the values
Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.
now, simplify
= 3.14 × 18.0625 in²× 14 in.
= 3.14 × 252.875 in³
multiplying the value
= 794.0275 in³
[tex] \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}[/tex]
2.) Here, radius = 7 in. and height = 8.5 in.
Volume of cylinder Q = π × ( radius ) ² × height
substitute the values
Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.
Simplify
= 3.14 × 49 in² × 8.5 in.
multiply the values
= 3.14 × 416.5 in³
[tex] \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}[/tex]
The square of a number 60 greater than half of the number. Form a
quadratic equation and solve to determine the possible values of the
number.
Answer:
Sorry Baby i don't know
Step-by-step explanation:
Bye
PLEASE HELP THIS IS SUPER IMPORTANT!!!! A culture of bacteria has an initial population of 860 bacteria and doubles every 9
hours. Using the formula Pt= P0x2t/d, where Pt is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 4 hours, to the nearest whole number?
Answer:
1170Step-by-step explanation:
Substitute values into given equation and solve for P(t):
P(t) = P₀*2^(t/d)P(4) = 860*2^(4/9) = 1170 (rounded)Geraldo orders a private jet for a party that has a flat rate of 175,000
dollars plus an addition 65,000$ for each additional passenger. He as AT
MOST 1 million dollars to spend ($1,000,000) how many people can he
take with him? (Round down to the nearest human and WRITE YOUR
ANSWER AS A SENTENCE)*
Answer:
im not really sure but try 600,0
Step-by-step explanation:
factorise using suitable identities
x^2 - 2x + 1
Answer:
(x - 1)^2
Step-by-step explanation:
using middle term break method
x^2 - 2x + 1
here, we need to numbers which gives 1 when multiplied and 2 when add .
=x^2 - (1 + 1)x + 1
=x^2 - x - x + 1
=x(x - 1) -1(x - 1)
=(x -1)(x - 1)
=(x - 1)^2
Step-by-step explanation:
by middle term factorisation method
x^2 -2x + 1
= x^2 -( 1+1)x + 1
= x^2 -x -x + 1
= x(x-1) -1( x -1)
= (x-1)(x-1)
OR
we know above polynomial ( quadratic ) equation is in form
(a - b )^2 = a^2 -2ab + b^2
so it's factories form is
( a- b)( a- b)
In circle P, BC = 24 ft. What is the length of arc AC?
A)π
B)2π
C)4π
D)8 π
Answer:
b
Step-by-step explanation:
I need help on number 1
Answer:
V =960 in ^3
Step-by-step explanation:
V = l*w*h
V = 12*8*10
V =960 in ^3
Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.
Answer:
Vertical
Slope cannot be determined
Step-by-step explanation:
To find the slope, we are going to use the slope equation as follows
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,5)
(x2,y2) = (4,-5)
m = (-5-5)/(4-4)
This gives an undefined answer and thus we cannot hate the slope value
Looking at the x-axis coordinates, we can see that the difference is just the y axis coordinates and as such we can confirm that the line is vertical
Find a round to the nearest tenth 12 22 75 x x=?
Answer:
By law of Sines[tex]\frac{Sin75^o}{22} =\frac{Sinx}{12}[/tex][tex]\frac{Sin75}{22}(12)=\frac{Sinx}{12} (12)[/tex][tex]0.5268=Sinx[/tex][tex]Sin^(0.5268)=x[/tex][tex]x=31.789[/tex][tex]x=31.79^o[/tex]-----------------------hope it helps..have a great day!!Consider the equation y = -2x + b. Find the value of b if the line passes through (-5, 4).
Select one:
a. b = -3
b. b = 4
c. b = 2
d. b = -6
Answer:
b = -6 (Answer d)
Step-by-step explanation:
The slope-intercept equation is y = -2x + b, and we know that the line passes through (-5, 4). Substitute -5 for x and 4 for y, to obtain:
4 = -2(-5) + b, or
4 = 10 + b, or
b = -6 (Answer d)
a rectangle has an area of 36mm^2. all sides are the same length. what is the length of a single side.
The length of side of the rectangle is 6 mm
Since the rectangle has an area of A = 36 mm² and the rectangle has all its sides the same length, then, it is a square. We know that the area of a square A = L² where L = length of sides of square.
Length of side of rectangle
Since we require the length of sides of the rectangle, we make L subject of the formula.
So, L = √A
Now, since the area of the rectangle, A = 36 mm², substituting the value of the variable into the equation, we have
L = √A
L = √(36 mm²)
L = 6 mm
The length of side of the rectangle is 6 mm
Learn moe about rectangles here:
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pls help me on this i don't know what to do
Answer:
A.
Step-by-step explanation:
Factor out x^2-3x-40. Know that the zeroes of a function multiply to be equal to the constant (-40) and add up to the coefficient of the x term (-3). The two numbers that do that are -5 and 8. Recall that to be zeroes, at least one of the x-values must make the equation equal 0. So if x=-5, (x+5) is the term that would be 0.
You could also multiply the factored forms that are given to find the correct one.
If f(x) = 2x²+2 and g(x) = x² - 1 ,find (f- g)(x).
A. 3x² +3
B. 3x² +1
C. x² +1
D. x² +3
Step-by-step explanation:
(F-g) (X)
= f(x) - g(x)
(2x² + 2 )-(x²-1) =
3x²+3
URGENT
Choose the true statement below for the following equation: y = 10x + 2
The equation doesn't represent a function.
The equation does represent a function, but it is not one-to-one.
The equation represents a one-to-one function.
Answer:
the last statement is true
Step-by-step explanation:
the equation is in the form mx+c which means it is a stright line and will only cross the x axis once
Answer:
The equation represents a one-to-one function.
Step-by-step explanation:
y = 10x + 2
is a line with a slope of 10
it is a function since each x value has one and only one y value
This passes the vertical line test
It is one-to-one
since each y value has one and only one x value
This passes the horizontal line test
ZA=
Round your answer to the nearest hundredth.
С
A
?
5
8
B
Answer:
∠A = 38.68°
Step-by-step explanation:
[tex]sinA=\frac{5}{8}\\A=sin^{-1}(\frac{5}{8})\\A=38.68[/tex]
The measure of the ∠A in this right-angled triangle is, 38.68°.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
From the given figure, With reference to ∠A, the Opposite is 5 units and the hypotenuse is 8 units.
We know, sin = opposite/hypotenuse.
Therefore, sinФ = 5/8.
Ф = sin⁻¹(5/8).
Ф = 38.68°.
learn more about trig ratios here :
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Question is due soon I need help
Answer:
looks like C is best guess
find distance between (0,6) and (8,0)
with process.......
Answer:
answer to the question is 10 units..
Answer:
10 units
Step-by-step explanation:
(0 , 6) = (x1 , y1)
(8 , 0) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(8 - 0)^2 + (0 - 6)^2}[/tex]
=[tex]\sqrt{8^2 + (-6)^2}[/tex]
=[tex]\sqrt{64 + 36}[/tex]
=[tex]\sqrt{100}[/tex]
=10 units
The triangle is isosceles find the length h of side x in simplest radical form with a rational denominator
Answer:
x = √3
Step-by-step explanation:
Find the diagram attached
Given
Opposite = √3
Adjacent = x
Acute angle theta = 45degrees
According to SOH CAH TOA;
tan theta = opp/adj
tan 45 = √3/x
x = √3/tan45
x = 1
x = √3
Hence the value of x in its simplest radical form is √3
Solve logx − 1 16 = 4
Answer:
logx=120
Step-by-step explanation:
Please help me with this
Answer:
6y
Step-by-step explanation:
The two figure are squares with the same area
side = √area = √y^2 = y (with y>0 because a length can‘t be negative)
perimeter = side * 6 = y * 6 = 6y
which of the following systems of linear inequalities is represented by the solution graphed below?
Asia is the largest of the world’s seven continents with an area of approximately 1.7 times 10 Superscript 7 square miles. Australia, the smallest continent, has an area of approximately 3.1 times 10 Superscript 6 square miles.
How much larger is Asia than Australia? Express the answer in scientific notation.
1.40 times 10 Superscript 6 square miles
2.93 times 10 Superscript 6 square miles
1.39 times 10 Superscript 7 square miles
2.01 times 10 Superscript 7 square miles
The amount of area larger is Asia than Australia will be 1.39 × 10⁷. Then the correct option is C.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Asia is the largest of the world’s seven continents, with an area of approximately 1.7 times 10⁷ square miles.
Australia, the smallest continent, has an area of approximately 3.1 times 10⁶ square miles.
Then the amount of area larger is Asia than Australia will be
⇒ 1.7 × 10⁷ – 3.1 × 10⁶
⇒ 1.7 × 10⁷ – 0.31 × 10⁷
⇒ 1.39 × 10⁷
Then the correct option is C.
More about the subtraction link is given below.
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Determine wether the lines given are parallel, perpendicular or neither
Answer:
Neither
Step-by-step explanation:
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. So if the slopes have reciprocals, they are perpendicular. Otherwise, they are neither.
pleaseeee helpp mee!!!!!
Encuentra el volumen de un prisma rectangular que mide 14m de largo y 10 m de ancho 34m de altura.
PLEASE HELP AND ASAP!!!!
Find the mean of the given set of numbers. 1, 4, 2, 2, 6, 9
Answer:
4
Step-by-step explanation:
Answer:
There are several different means:
Arithmetic: 4 (This is most likely your answer.)
Geometric: 3.0862
Harmonic: 2.3736
Hope that this helps!
Sara invests $4000 at 7.2% annual interest compounded monthly. Find the final amount of Sara's investment after 15 years. *
Answer:
$8,711.99
Step-by-step explanation:
The formula for calculating the compound interest in expressed as;
A =P(1+r/n)^nt
Principal P = $4000
r is the rate = 7.2% = 0.072
t is the time = 15years
n = 1/12
Substitute
A = 4000(1+0.072(1/12))^15/12
A = 4000(1+0.072(12))^1.25
A = 4000(1+0.864)^1.25
A = 4000(1.864)^1.25
A = 4000(2.1779)
A = 8,711.99
Hence the final investment after 15years is $8,711.99
Amira is trying to find the height of a radio antenna on the roof of a local
building. She stands at a horizontal distance of 26 meters from the building.
The angle of elevation from her eyes to the roof (point A) is 23°, and the
angle of elevation from her eyes to the top of the antenna (point B) is 33°. If
her eyes are 1.54 meters from the ground, find the height of the antenna (the
distance from point A to point B). Round your answer to the nearest meter if
necessary.
Answer:Using the formula for the area of the composite shape, Area of composite shape = Area of rectangle + area of the square. ⇒ Area of composite shape = 14+9 = 23 square inches.
Step-by-step explanation: