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3 years ago

Given f(x) = 3x-4 and g(x)= -2x+7 evaluate. PLEASE HELP.

Mathematics

2 answers:

Roman55 [17]3 years ago

8 0

see the attachments below for the steps :)

The simplified expression is as follows:

d(-3x^2 + 9x - 14)

Softa [21]3 years ago

4 0

Answer:

-21

Step-by-step explanation:

The given functions are

$f(x)=3x-4$

$g(x)=-2x+7$

We need to find the value of $(g\circ f)(6)$ .

The substitute x=6 in f(x), to find the value f(6).

$f(6)=3(6)-4=18-4=14$

The substitute x=14 in g(x), to find the value g(14).

$g(14)=-2(14)+7=-28+7=-21$

According to the composition of functions,

$(g\circ f)(x)=g(f(x))$

Substitute x=6 in the above formula.

$(g\circ f)(6)=g(f(6))$

$(g\circ f)(6)=g(14)$

$(g\circ f)(6)=-21$

Therefore the value of $(g\circ f)(6)$ is -21.

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Regular quadrilateral pyramid with base edge b=55 mm and lateral edge l = 7cm. Find the sum of all edges

egoroff_w [7]

Answer:

50cm or 500mm

Step-by-step explanation:

There are 4 base edges and 4 lateral edges, therefore, multiply the number for both edges by 4 and add.

Considering the fact that we were given two units of measurement, millimeters and centimeters, but we know that there are 10mm (millimeters) in a cm (centimeter) , we can just divide 55 by 10 to get 5.5.

Therefore;

5.5 x 4 = 22

7 x 4 = 28

28 + 22 = 50cm

The diagram can be drawn in order to assist in answering the question.

8 0

3 years ago

Which ratio forms a proportion with 18/27

JulsSmile [24]

Answer:

$\frac{2}{3}$

Step-by-step explanation:

The given ratio is $\frac{18}{27}$

9 is the common factor of 18 and 27

divide numerator and denominator by 9

$\frac{18/9}{27/9} =\frac{2}{3}$

hence $\frac{2}{3}$ is proportion with $\frac{18}{27}$

6 0

3 years ago

Find the surface area of the cylinder give your answer in terms of pi. The radius is 4mm and the height is 5mm

Komok [63]

The surface area of a cylinder is the area of the bases plus the area of the side, or SA = 2*A₁ + A₂

Since the area of a circle is $\pi r^{2}$ ,
SA = 2*( $\pi r^{2}$ ) + A₂

Since the area of the side is height * the circumference of the circle or A₂ = h * $2 \pi r$ , then SA must be;

SA = $2* \pi (r ^{2} )+h*2 \pi r$
SA = $2* \pi (4 ^{2} )+5*2 \pi (4)$
SA = $32* \pi+80 \pi$
SA ≈ <span>351.858377202</span>

3 0

3 years ago

1. Curtis was curious about the average height of the different types of plants in his flower and vegetable gardens, so he measu

Nadusha1986 [10]

Answer:

Step-by-step explanation:

hey i got the answer straight from my teach but ony a and c if you have the answer to b let me know : ( A) To determine the mean absolute deviation, first calculate the mean. Find the sum of the values: 8 plus 6 plus 9 plus 6 plus 14 plus 9 plus 5 plus 7 equals 64. Then divide the sum by the number of values: 64 divided by 8 equals 8. The mean is 8.

Next, find the distance of each value from the mean :

|8-8|=0 |6-8|=2 |9-8|=1 |6-8|=2 |14-8|=6 |9-8|=1 |5-8|=3 |7-8|=1

0 plus 2 plus 1 plus 2 plus 6 plus 1 plus 3 plus 1 equals 16. Then divide the sum of absolute deviations by the number of data values: 16 divided by 8 equals 2. The MAD of the data is 2.

C. Since the MAD for the vegetable plant data is so much higher than the MAD for the flower data, this indicates that the heights of the vegetable plants vary more than the heights of the flowers ALSO do you go to k12

7 0

3 years ago

Three out of four student surveyed in a school said they will vote for nuncio for class president. Predict how many of the 340 s

elena55 [62]

3/4 is .75. translate that to percentages, and you get 75%. This means that it is likely that 75% of the 340 students in total will vote for Nuncio.
write it out:
.75*340
solve:
255

about 255 students are likely to vote for Nuncio

5 0

4 years ago

Read 2 more answers