2(2t +7) = 4t+14
solve for t

Answer: Hope this helped(tried my best thinking what the question was asking)

x=0

y=-3

Step-by-step explanation:

(Im going to add and subtract)

Add:

14x-12y=36

14x+9y=-27

28x-3y=9

Subtract:

-14x+12y=-36

14x+9y=-27

21y=-63

y=-3 (substitute in first equation)

7x+18=18

7x=0

x=0

SO

y=-3 and x=0

Answer:

The value of (f о h) (2) is 2

Step-by-step explanation:

Let us solve the question

In the composite function (f о h) (x) we substitute x in f(x) by h(x)

∵ f(x) = 2x² - 9x + 2

∵ h(x) = x² - 4

∵ We need to find (f о h) (2)

→ That means use x = 2

∴ x = 2

We will find at first h(2), then substitute x in f by the answer of h(2)

∵ x = 2

∵ h(2) = (2)² - 4

∴ h(2) = 4 - 4

∴ h(2) = 0

Now substitute x in f by 0

∵ x = 0

∵ f(0) = 2(0)² - 9(0) + 2

∴ f(0) = 0 - 0 + 2

∴ f(0) = 2

∴ (f о h) (2) = 2

Answer:

4x-3

Step-by-step explanation:

(7x-5) - (3x-2)

aka

(7x-5)  -1 (3x-2)

first distribute the -1 into (3x-2)

-3x+2

so

(7x-5)+ -3x+2

next combine like terms

7x-3x=4x

so

4x-5+2

then

-5+2=-3

so

4x-3 would be your simplified equation

Answer:   a square with side length 4 inches

a 2 inch by 8 inch rectangle

a heart-shaped base with an area of 16 square inches

Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.

For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

(2.257)² ≈ 5.093

5.093 × 3.1416 ≈ 16

16 × 5 = 80

The base for this prism should be like

a square with side length 4 inches.

a 2 inch by 8 inch rectangle.

a heart-shaped base with an area of 16 square inches.

Since

The given height is 5.

Any base with an area of 16 square inches should be considered as an acceptable base.

Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

So, it be like

(2.257)² ≈ 5.093

Now

5.093 ( 3.1416) ≈ 16

16 ( 5) = 80

Learn more about prism here; https://brainly.com/question/24606047

Answer:

18.76

Step-by-step explanation:

28.6 - 9.84 = 18.76

Answer:

I think personification

Step-by-step explanation:

Answer:

92/69 cannot be simplified

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

the first significant figure is the non zero

Answer: 50% would be the correct answer.

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

2+0<2is wrong if that's what you mean then the right answer is 2+0=2

the sign < means the number after it is bigger than the number before thus sign so its not the answer

Answer:

y = 2(4^(x))

Step-by-step explanation:

In 2012, the park has a population of 32 lions. A year later, in 2013, the park has 128 lions.

This means in 2012, it was 2^(5) lions while after 1 year it was 2^(7) lions

Thus, it increases every year by a ratio of 2^(2)

Thus, in 2011, it was 2^(5) - 2^(2) = 2^(3) lions

In 2010, it was 2^(3) - 2^(2) = 2

Since Lions were introduced in the park in 2010, using f(x), it means;

at x = 0, f(x) = 2

at x = 1, f(x) = 2^(3)

at x = 2, f(x) = 2^(5)

at x = 3, f(x) = 2^(7)

To find an exponential function that models the situation, let's use the generic formula: y = ab^(x)

At x = 0 and y = 2, we have;

2 = a × b^(0)

Thus,a = 2

At x = 1, y = 2^(3)

Thus; 2^(3) = 2 × b^(1)

b = 8/2

b = 4

So the exponential equation is;

y = 2(4^(x))

You can use the fact that the given figures are expressible as 2 raised to some powers.

The exponential function modeling the number of lions to the years passed since 2010 is given as

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

Those functions which are expressed as some constant raised to the power of the argument called exponential function.

Since 2012  - 2010 = 2 and the number of lions = 32 = [tex]2^5[/tex]

and 2013 -2010 = 3 and the number of lions =128 = [tex]2^7[/tex]

Thus, there is increment of 2 exponent as 1 year was changed.

Thus, we have:

[tex]f(x) = 2^{2x + a}[/tex] where a might be some constant( i took this form of exponent just by trial and error. It was already visible that one year was increasing double output, thus 2x and since there was just double increase and no other effect, there might be some non variable thing(a constant) so i thought to try some variable and see if this can work)

Since at x = 2, we get 2 raised to the power 5

thus.

[tex]2(2) + a = 5\\a = 1[/tex]

Thus,

The exponential function modeling the number of lions to the years passed since 2010 is given as

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

You can see that this will give correct output for x = 2 and x = 3

Learn more about exponential functions here:

https://brainly.com/question/15680851

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Work Shown

45 girls : 15 boys

45/15 girls : 15/15 boys .... divide both parts by 15

3 girls : 1 boy

This tells us there are three times as many girls as there are boys.

We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.

Answer:

Step-by-step explanation:

if the equation of line p is

4x+7y=20 then the equation of line q must be

-7 x +4y=15 because perpendicular lines have

slopes with a product of -1

Answer:

He travels 165 miles

Step-by-step explanation:

Answer:

6)b

7)a

8)a

9)a

1)c

2)a

3)c

4)b

5)b

Answer:

1h30min

Step-by-step explanation:

Answer:

12

Explanation:

21 ÷ 7 × 4

21 ÷ 7 = 3

3 * 4 = 12

Answer:

12

Step-by-step explanation:

So..... multiplication can be done at the same time as division, so we don't have to worry about the order of operations :)

so, 21 divided by 7 is 3

then, you multiply 3 by 4, which is 12

and btw, I also found another methoddddddddddddd

you can do, 21 times 4, which is 84, divided by 4 times 7, which is 28

84 divided by 28 is 3

then you multiply it by 4, it gives 12

and btw, that also works for other numbers too!!!!!!!!!!!!

Answer:

4. (-8) - (+3)

Step-by-step explanation:

This answer does not result in an answer of -5

This subtracts -3 from -8, which gives you the answer of -11.

So, this answer is correct because it is the one that doesn't result in -5.

Answer:

Problem #4

Step-by-step explanation:

Some things to remember when doing problems like are

Double negative = positive

Double positive = positive

Negative & positive = negative

1. (-7) + (+2)          2. (-11) + (+6)        3. (-9) - (-4)        4. (-8) - (+3)

    -7 + 2                   -11 + 6                  -9 + 4                -8 - 3

       -5                          -5                         -5                     -11

Answer:

B.

Step-by-step explanation: B.

Answer:

B.

Step-by-step explanation:

Answer:

-4x³ + 4xy

Step-by-step explanation:

distribute -4x by 'x²' and '-y'

-4x(x²) = -4x³

-4x(-y) = 4xy

Answer:

-4x^3+4xy

Step-by-step explanation:

Distribute the -4xy

Answer:

721084490

Step-by-step explanation:

Answer:

Approximately 50 square feet (50.24 to be exact)

Step-by-step explanation:

If you're using 3.14 for π, and the area of a circle is A=πr2,

(3.14)(4)^2 =?

(3.14)(16) = 50.24

Therefore the answer would be about 50 square feet.  

Answer:

25.12

Step-by-step explanation:

Answer:

B.68.......................

Answer:

if a=5 and b=7 so (a+b)=(5+7)=12

(a-b)=5-7= -2

Answer:

(a+b) =12

(a-b) =. - 2

Step-by-step explanation:

You will put the numbers given as a=5 and b=6

In to the value of (a+b) and (a-b)

So it will be

*(a+b) =(5+7)

=(12)

*(a-b) =(5-7)

=(-2)

Answer:

same :(

Step-by-step explanation:

Answer:

individual pay (a) = cost of popcorn / number of friends

Step-by-step explanation:

Assuming the cost of the popcorn is to be split evenly among the three friends, where all three friends are to split 5.70, the pay per friend is;

individual pay (a) = 5.70 (cost of popcorn) / 3 (number of friends)

Step-by-step explanation:

The terms 9√x - 3√x have a common factor of √x.

Therefore 9√x - 3√x = √x * (9 - 3) = 6√x.