Evaluate f(8):
f(x) = x2 - 4

Answer:

B) 6

Step-by-step explanation:

they make one stop every 150 miles

900/150 = 6 stops

The family will make 6 stops for a trip of 900 miles.

So, the answer is B. 6.

Given is table showing number of stops made and the number of miles the family traveled.

The number of times the family stops to rest during a trip is dependent upon the number of miles the family travels.

We need to determine the number of stops the family will make for a trip of 900 miles.

To predict the number of stops the family will make for a trip of 900 miles, we can observe the pattern in the given data.

From the table, we can see that the number of stops is increasing by 1 for every 150 miles traveled.

So, to find the number of stops for 900 miles, we can divide 900 by 150 and round up to the nearest whole number since the number of stops cannot be a fraction.

900 miles / 150 miles = 6

Therefore, the family will make 6 stops for a trip of 900 miles.

So, the answer is B. 6.

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cost of T- shirts = 125 (Fixed price) + 15* number of T- shirts

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

A school pays a company $125 to design gym T-shirts.

It costs an additional $15 to make each T-shirt.

Number of T-Shirts         Cost ($)

             0                             125

              5                            200

              10                           275

              15                           350

b) equation:

    cost of T- shirts = 125 (Fixed price) + 15* number of T- shirts

c) cost of  378 T- shirts

    =125+ 15(378)

    = 5795

c) school store has a budget of $2345

    Number of T- shirts = (2345-125)/15

                                      = 148 T- shirts

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Given:

The limit problem is:

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

To find:

The limit of the function by using direct substitution.

Solution:

We have,

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

Applying limit, we get

[tex]\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=9+24-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=33-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=31[/tex]

Therefore, the correct option is D.

Answer:

x = 20°

Step-by-step explanation:

here's your solution

=> it is given that whole angle is 90°

=> so, x + (3x + 10) = 90°

=> x + 3x + 10 = 90°

=> 4x + 10 = 90°

=>4x = 90 - 10

=> 4x = 80°

=.

=> x = 80/4

=> x = 20°

one angle is 20° and other 70°

hope it helps

Answer:

20 is your answer

x+3x+10=90 being right angle

4x=90-10

x=80/4=20

Answer:

Step-by-step explanation:

10

Answer:

Step-by-step explanation:

A blue marble ⇒ 6 points.

A green marble ⇒ 9 points.

For each red marble ⇒ - 12 points.

Total number of points:

Answer:

3 2x+3y-4z you welcome guys

like i said you welcome

Step-by-step explanation:

Answer:

x = -5

y = -1

Step-by-step explanation:

Y= -6/5x-7 and y=2/5x+1

then:

-6/5x - 7 = 2/5x + 1

simplify:

-8/5x = 8

divide both sides by 8:

-1/5x = 1

multiply both sides by 5:

-x = 5

x = -5

y = 2/5(-5) + 1 = -2 + 1 = -1

The coordinates after the reflection will be C' = (-4, 8), D' = (-2,4), E' = (6,3), and F' = (4, 7).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that, Parallelogram CDEF with vertices C(-4,-4), D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.

The following coordinates are obtained after reflection in the line y = 2.

C' = (-4, 8)

D' = (-2,4)

E' = (6,3)

F' = (4, 7)

Thus, the coordinates after the reflection will be C' = (-4, 8), D' = (-2,4), E' = (6,3), and F' = (4, 7).

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

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can you send a closer pic?

Answer:

he has 60

Step-by-step explanation:

25% of 48 is 12, he has 12 more cards then david

Answer:

2 docenas cuestan $61.200.

Step-by-step explanation:

Para encontrar la respuesta, debes considerar que una docena equivale a 12 artículos, por lo cual tienes que multiplicar 12 por 2 para encontrar el número de rosas en 2 docenas:

12*2=24

Ahora, dado que sabes que una rosa cuesta $2.550 tienes que multiplicar este valor por 24 para encontrar cuanto cuestan 2 docenas:

$2.550*24=$61.200

De acuerdo a esto, la respuesta es que 2 docenas cuestan $61.200.

Answer:

3) x^2-yz/z^2

x = -3, y = 5 and z = -2 plug in these values

-3^2 -5(-2) /-2^2

= -1/4

decimal form: -0.25

4) x^2+y^2+z^2/xyz

x = -3, y = 5 and z = -2 plug in these values

-3^2+5^2+-2^2/-3*5*-2

= 2/5

decimal form: 0.4

5) x+y/z + y+z/x

x = -3, y = 5 and z = -2 plug in these values

(-3+5/-2)+(5+(-2)/-3)

= -2

6) 2x+y-z/x-3y+z

x = -3, y = 5 and z = -2 plug in these values

2(-3)+5-(-2)/-3-3(5)+(-2)

= -1/20

decimal form: -0.05

Answer:

(iii) (-3)^2 - (5)(-2)/(-2)^2

9 - (-10)/ 4

9+10/4

19/4

4.75

(iv) (-3)^2 + (5)^2 + (-2)^2/(-3)(5)(-2)

9 + 25 +4 / 30

9 + 29 / 30

38 / 3

1.26

(v) (-3) + (5)/(-2) + (5) + (-2)/(-3)

-8 / -2 + -10 / -3

4 + -10/ -3

LCM = -3

-12 + (-10)/ -3

-22/-3

7.3

(vi) 2(-3) + (5) - (-2)/(-3) - 3(5) + (-2)

-6 + 5/-3 -15 -2

-1 / -3 -17

-1 / -20

1/20

Answer:

y= - 1/2(2)^(x)-2

Step-by-step explanation:

you could check on a graphing calculator

Answer:

3/5

Step-by-step explanation:

m = y2-y1 / x2 - x1

6-3 / 3 - -2 = 3/5

Answer:

m= [tex]\frac{3}{5}[/tex]

hope this helps!

Step-by-step explanation:

Answer:

992.39

 Step-by-step explanation:

sales tax was 80.46 subtract from 1072.85 get 992.39 original price.

Answer:

100 feet

Step-by-step explanation:

pythagorean theorm

60^2+80^2= 10,000

Square root of 10,000= 100

Answer: 100

Step-by-step explanation:

Answer: V = 366917713920 cm³

Answer:

[tex]10^{4.876}=y[/tex]

Step-by-step explanation:

Logarithms are just another way of arranging an exponential equation! You know how you can rearrange the equation 2 + 3 = 5 as 5 - 3 = 2, or the equation 2 x 3 = 6 as 6 ÷ 3 = 2? With logarithms, you can do the same thing with an equation like 2³ = 8. As a logarithm, we would write this equation as log₂(8) = 3. Here, we call 2 the base, 8 the argument, and 3 the exponent.

Logarithms like the one in the problem with a base of 10 are just written as log, without the base written out. In the equation log(y) = 4.876, our base is 10, our argument is y, and our exponent is 4.876, so as an exponential equation, we would write it as

[tex]10^{4.876}=y[/tex]

Complete Question:

g(x), represents transformations on the parent function of [tex]y = (\frac{1}{2})^x[/tex].

Write the equation for g (x ) with the following transformations:

Reflect over y-axis, and shift right 7

Answer:

[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]

Step-by-step explanation:

Given

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

Represent the function as:

[tex]f(x) = (\frac{1}{2})^x[/tex]

Taking the transformations, one after the other:

Reflect over the y-axis.

This is represented by the rule: (x,y) ==> (-x,y)

So, we have:

[tex]f'(x) = (\frac{1}{2})^{-x}[/tex]

Shift right 7 units

This is represented by (x,y) = (x - b, y)

Where b represents the number of units

So, we have:

[tex]f'(x-7) = (\frac{1}{2})^{-x-7}[/tex]

Hence:

[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]

Answer:

Its scaled half the bigger model and evidence is to divide your numbers by 2 or multiply by .5

Step-by-step explanation:

Answer:

$2.10

Step-by-step explanation:

8.40-4.20=4.20÷2=2.10

Answer:

2.1

Step-by-step explanation:

(8.4-4.2)/2

=4.2/2

=2.1

Answer:

The power of the test will be highest for;

C. The sample size is n = 1,000, and 55 percent of all students actually use vending machines

Step-by-step explanation:

For a large sample test for proportions, we have;

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]

Where;

[tex]\hat p[/tex] = The percentage of the hypothesized proportion = 20% = 0.20

p = The actual proportion

n = The size of the sample

The power of the test increases when;

The sample size 'n' is large

When the true vale of the measured items in the test is much larger than the value set as the null hypothesis

When the significant level is high

Therefore, we have;

The power of the test will be highest when the sample size is n = 1,000, and 55 percent of all students actually use vending machines

Answer:

ok pls mark me brainliest look below for the answer

Step-by-step explanation:

22

Answer:

C

Step-by-step explanation:

It passes the vertical line test

the vertical line test is taking a vertical line and putting it anywhere on the graph, and if it passes 2 points, it fails, and since if you put the line anywhere, it only passes one point of the parabala, so it passes the line test

Answer: C

Step-by-step explanation: The easiest way to determine if a

relation is a function is to use the vertical line test.

The vertical line test tells us that if we can draw a vertical line

that intersects more than one point on the graph of a relation,

then the relation is not a function.

However, in this case, notice that there is no way to draw a

vertical line that intersects more than one point on the graph.

Therefore, this relation must be a function.

A 15 watt night light would keep up to lit for 33.33 hours.

Energy in simple definition can be defined as the ability to do work. Energy can be converted into various forms and can be used to do the work.

The formula for calculating energy is,

Energy = Power × Time

Given that energy of one jelly filled donut contains an amount of energy equal to 0.5 kilowatt hours.

1 kilowatt = 1000 watts

0.5 kilowatt hour = 500 watts hour

Now this energy is converted into electrical energy and used it to lit 15 watt night light.

Power of the light = 15 watts

Energy = 500 watts hour

Time = Energy / Power

        = 500 / 15

        = 33.33

Hence 15 watt light will lit for 33.33 hours.

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