Given that f(x) = 2x + 1 and g(x) = −5x + 2, solve for f(g(x)) when x = 3.

Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and

Volgvan

Answer:

The correct answer is the last option, that is,

112 + 25m + 45 = 50 + 60m

Step-by-step explanation:

We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112 + 45 + 25m

We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m

In order for amount of money to be equal in accounts of both the runners, we set up: 112 + 45 + 25m = 50 + 60m

Upon rewriting the left hand side using commutative law, we get:

112 + 25m + 45 = 50 + 60m

Therefore, we can see that the last option is the correct answer.

I hope this helped. I am sorry if you get this wrong.

4 0

3 years ago

Read 2 more answers

A triangle has an area of 900m2 . If a parallelogram has the same height and base as the triangle, what is the area of the paral

timama [110]

Answer:

1800 $m^{2}$ is the area of parallelogram.

Step-by-step explanation:

Given that:

Area of a triangle = 900 $m^{2}$

To find:

Area of a parallelogram which has same height and base as that of the given triangle.

Solution:

First of all, let us have a look at the formula for Area of a parallelogram:

$Area_{Par} = Base \times Height$ ...... (1)

So as to find the area of a parallelogram, we need to have the product of Base and Height of Parallelogram.

Now, let us have a look at the formula for area of a triangle:

$Area_{Tri} = \dfrac{1}{2} \times Base \times Height$

Given that height and base of triangle and parallelogram are equal to each other.

So,the product of base and height will also be equal to each other.

$900 = \dfrac{1}{2} \times Base \times Height\\\Rightarrow Base \times Height = 2 \times 900\\\Rightarrow Base \times Height = 1800\ m^2$

By equation (1):

<em>Area of parallelogram = 1800 </em> $m^{2}$ <em> </em>

4 0

3 years ago

Carol conducted a survey of four school cafeterias to find the number of students who like tacos for lunch. The results of her s

liq [111]

School A : 12/45 = 0.266 = 26.6%
school B : 15/40 = 0.375 = 37.5%
school C : 9/27 = 0.333 = 33.3%
school D : 13/32 = 0.406 = 40.6%

so ur answer is school D

8 0

3 years ago

Read 2 more answers

Can you tell me how to factorise 6b+24bc

Kamila [148]

When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:

x^2 + 3x + 2 = (x+1)(x+2)

But there are other situations where factorisation can be applied. Take this quadratic:

x^2 - 9x = x(x-9)

This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.

Hence 6b + 24bc = 6b(1 + 4c).

I hope this helps you :)

3 0

2 years ago

Read 2 more answers

a doctors office surveyed their patients on wait time satisfaction, with a scale of 1bto 5. The data listed below are the report

liubo4ka [24]

Answer:

See Attached

Step-by-step explanation:

The survey on wait time satisfaction for patients at a doctor's office generated the reported scores below.

1,3,2,3,3,4,4,1,5,3,3,3,4,4,5,2,2,2,1,1

First we sort making sure the total number of scores equal 20:

1,1,1,1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,5,5

Frequency of 1=4
Frequency of 2=4
Frequency of 3=6
Frequency of 4=4
Frequency of 5=2

Next, we draw the dot plot which is attached below.

7 0

3 years ago