The function f(x) = 4x + 8 represents the distance traveled by a herd of elephants in miles. The function g(x) = x − 1 represents the time the herd traveled in hours. Solve f divided by g of 4, and interpret the answer.

Answers

Answer 1

Answer:

[tex](f/g)(4)=8[/tex]

Interpretation: 4 elephants traveled at a speed of 8 miles per hour

Step-by-step explanation:

Given

[tex]f(x) = 4x + 8[/tex]

[tex]g(x) = x -1[/tex]

Required

[tex](f/g)(4)[/tex]

This is calculated as:

[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]

We have:

[tex]f(x) = 4x + 8[/tex]

[tex]f(4) = 4 * 4 + 8 =24[/tex]

[tex]g(x) = x -1[/tex]

[tex]g(4) = 4 - 1 = 3[/tex]

So:

[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]

[tex](f/g)(4)=\frac{24}{3}[/tex]

[tex](f/g)(4)=8[/tex]

Answer 2

Answer:

Answer:C) 8; The elephants’ rate in miles per hour

Step-by-step explanation:

First write the question as an equation that can be solved to give you a numerical answer.

[f(4)=4(4)+8] / [g(4)=(4)-1]

Then solve the equation.

24/3=8

Finally use background information to give you the context.

Since the problem gives you the function for distance and the function for time then it can be concluded that the context will be the elephants’ rate in miles per hour

Step-by-step explanation:


Related Questions

Two miles away from home, she had to walk the remaining four miles. She had to walk all the way back home. How many more miles did she walk than she rode?

Answers

Answer:

Distance rode = 6 miles

Step-by-step explanation:

distance from home = 2 miles

remaining distance =  4 miles

The distance rode = 4 + 2 = 6 miles

Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?

Answers

the expression that si the best choice to help him determine the total amount of money he withdrew was: x=25*5

The base of a triangle is 20m and its area is 250m.What is the height of the triangle

Answers

Answer:

the height of the triangle is 25

Answer:

height = 25 m

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 250 and b = 20 , then

[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is

10h = 250 ( divide both sides by 10 )

h = 25 m

what is 8 to the power of ten?

Answers

Answer:

80

Step-by-step explanation:

......................................

I guess 80


80..........

Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0


by Emmanuel okorie​

Answers

Answer:

nah its a.

Step-by-step explanation:

bakit?(#boyinthebrainly)

Which expression is equivalent to 5y^-3

Answers

Answer:

5/y^3

Step-by-step explanation:

In the triangle below, what is the measure of Z?

A. 90°
B. 7°
C. 65°
D. 50°

Answers

Answer:

C. 65

Step-by-step explanation:

Y and Z are the same angles so they would have the same measurement.

65 since the angles of Z and Y are the same.

How to solve for "Find the equation of the line that is perpendicular to y = -2/3x and contains point (4,-8)" ?

Answers

Answer:

[tex]y=\frac{3}{2}x+(-14)[/tex]

Step-by-step explanation:

Equation of a line has been given as,

[tex]y=-\frac{2}{3}x[/tex] --------(1)

Slope of the line is,

[tex]m_1=-\frac{2}{3}[/tex]

By the property of perpendicular lines,

If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]

Therefore, slope of the line perpendicular to the line (1) will be,

[tex]-\frac{2}{3}\times m_2=-1[/tex]

[tex]m_2=\frac{3}{2}[/tex]

If this line passes through a point (4, -8) equation of the line will be,

[tex]y-y'=m_2(x-x')[/tex]

[tex]y+8=\frac{3}{2}(x-4)[/tex]

[tex]y=\frac{3}{2}x-6-8[/tex]

[tex]y=\frac{3}{2}x-14[/tex]

A newborn baby weighed 133 ounces.
What is the baby's weight in pounds and
ounces? (1 pound = 16 ounces)

Answers

Answer: UHHHHH i shall halp ya

Step-by-step explanation:

if its 133 in ounces its 293.215 in pounds

Answer: 8 pounds and 5 ounces

Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.

Find the surface area of the triangular prism. ______ square centimeters​

Answers

Step-by-step explanation:

there is answer in the image above

Divisibility rules for 2, 5, and 10
Which numbers are divisible by 2?

A)765

B)943

C)940

or none of these

Answers

For any number to be divisible by 2 the last digit in the number has to be an even number or the number 0.

A and B end with an odd number so cannot be divided by 2.

C ends with 0 so can be divided by 2

The answer is C. 940

Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?

Answers

Answer:

3.16666667 tons

Step-by-step explanation:

hope this helps have a good evening

x−115=223
Please help

Answers

Answer:

338

Step-by-step explanation:

X - 115  = 223

Add 115 to both the sides

X - 115 + 115 = 223 + 115

x = 338

Answer:

338

Step-by-step explanation:

x - 115 =223

Collect terms

x = 223 + 115

x = 338

Hope this helps you!

pls mark as brainlest ans

Bye!

What is the highest common factor of 65 and 56?

Answers

Highest common factor of 56&65 is 1

The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?

Answers

Answer:

Step-by-step explanation:

27 degrees

can someone please help for brainlest

Answers

87.6 square inches
Find the area of each face and add them all up together:
Area of triangular base- 1/2 • 6 • 5.2 = 15.6 in2
Area of 1 triangle side face:1/2 • 8 • 6 = 24 in2
Multiply 24 by 3 (bcos there are 3 triangular lateral faces) 24 • 3= 72

Add area of base and arae of all lateral faces:
72 + 15.6 = 87.6

SURFACE AREA: 87.6 square inches

Com.ment me if u have any questions!
If my answer was correct, brainliest please!
- SpaceMarsh


help help help help pls

Answers

Answer:

The length of AB is approximately 6.07 m

Step-by-step explanation:

The given dimensions of the triangle are;

The value of x = 7.7 m

The measure of angle, θ = 52°

The length of side AB = Required

The given triangle ΔABC is a right triangle, with the following sides;

AC = x = The hypotenuse (opposite to right angle) side

(Leg) AB = The opposite side to the reference angle, θ

(Leg) BC = The adjacent side to the reference angle, θ

By trigonometric ratio, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]

Therefore;

[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]

AB = 7.7 × sin(52°) ≈ 6.07

The length of AB ≈ 6.07 m.

Solve for x. Round to the nearest tenth, if
necessary.

Answers

I hope this is help full to u

thank you

Answer:

x = 3.8

Step-by-step explanation:

take 53 degree as reference angle

using cos rule

cos 53 = adjacent/hypotenuse

0.60 = x /6.3

0.60*6.3 = x

3.78 = x

3.8 = x ( after converting the answer to nearest tenth)

hey yall heres another question i need the answer to ASAP !!!!!



Type the correct answer in each box.

The volume of a cube is given by and the total surface area of a cube is given by , where s is the side length of the cube.

If the side length of a cube is 5 inches, the volume of the cube is ??? cubic inches and its total surface area is ??? square inches.


the question marks stand for where the answers should go.

Answers

Answer:

girth is better than length. your welcum ;)

write an equation to find x, then solve for angle measure A. 25 points.

Answers

Answer:

Step-by-step explanation:

23). By applying triangle sum theorem in the given triangle,

    (x + 83)° + (x + 48)° + 65° = 180°

    2x + 196 = 180

    2x = -16

    x = -8

    Measure of angle A = x + 48

                                      = -8 + 48

                                      = 40°

     Therefore, Option A is the answer.

24). By triangle sum theorem,

     (3x + 14)° + 90° + (4 + 3x)° = 180°

     6x + 108 = 180

     6x = 72

     x = 12

     Measure of angle A = (4 + 3x)

                                       = 4 + 3(12)

                                       = 40°

     Therefore, Option A is the answer.

Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?

Answers

Answer:

$1020

Step-by-step explanation:

660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).

118°
D
B
angle C= ?
can anybody help pls?

Answers

Answer:

∡ c = 118°

Step-by-step explanation:

angle c is 118 degree (being vertically opposite angle)

∡ c = 118°

Answer:

118

Step-by-step explanation:

there is a property that i can't remember the name of that is dealing with angles across a flat line.

another way, is that 118+D=180, so D is 62

so that means D + C = 180, where D is 62 so C must be 118

solve 32*25/80 using the power and exponents law

Answers

Answer:

the answer is 10 the power of one or 10

SOMEONE HELP
ASAP PLEASE
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

If y varies directly as x and z, and Y =8/3 when x = 1 and 2 = 4, find y when x = 6 and z = 3.
a.
C.
Y
(03) -
b. y = x; }(6, 3) 27
27
2
vx; (6, 3) =24
» -«xz; "(0, 3) =12
d.

Answers

Answer:

D

Step-by-step explanation:

Given y varies directly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then

[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )

[tex]\frac{2}{3}[/tex] = k

y = [tex]\frac{2}{3}[/tex] xz ← equation of variation

When x = 6 and z = 3 , then

y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12

Answer:

the answer to this question is

d.)y=⅔xz;y(6,3)=12

(when u solved it, can u show me how you got the answer because my teacher wants us the show the work as well)

ty

Answers

Answer 243mm^2

Explanation:
I first split the shape into two smaller shapes. Then I found those two areas and added them! (18x12)+(9x3)=243

Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0
A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof​

Answers

Step-by-step explanation:

A is correct option there are no real roots

because discriminant is less than zero

What is the length of the hypotenuse of the right triangle? Enter your answer in the box.

image

Answers

Answer:

10 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be hypotenuse, then

h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

h = [tex]\sqrt{100}[/tex] = 10

The hypotenuse is 10 ft

Answer:

the answer is 10 but you can ask your friends too

Step-by-step explanation:

h=p2+b2

root under 8 square +6 sqaure

root under 64±36

root Under 100

equals 10

i uses to learn like this but I'm not sure

factorise fully the following expression (am-an+bm-bn)​

Answers

Step-by-step explanation:

am-an+bm-bn

m(a+b)-n(a+b)

(m-n)(a-b)

Answer:

[tex] \small \sf \: ( m - n ) ( a + b )[/tex]

Step-by-step explanation:

( am - an + bm - bn)

Do the grouping

= ( am - an ) + ( bm - bn )

Factor out a in the first and b in the second group

= a ( m - n ) + b ( m - n )

factor out common term m - n by using distributive property

= ( m - n ) ( a + b )

which of the following choices lists the correct values of a,h, and k for the function f(x)=5x^2

Answers

Answer:

For a general quadratic equation like:

y = a*x^2 + b*x + c

a is the leading coefficient.

And we define the vertex of this as (h, k)

Where h is:

h = -b/(2*a)

and k is the y-value given when we use x = h.

Now, in this case we have:

f(x) = 5*x^2

We can see that the leading coefficient is 5, then a = 5.

To find the value of h we use:

h = -b/(2*a)

there is no lineal term, thus b = 0, then:

h = -0/(2*5) = -0/10 = 0

and k is given by

f(h) = f(0) = 5*0^2 = 0

then k = 0.

Concluding:

a = 5

h = 0

k = 0

The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)
x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)

Answers

Answer:

my answer is x(x+3) + 2(x - 3)

Answer:

thanks for the information

Step-by-step explanation:

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