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3 years ago

Someone Help plz!!!!!!

Mathematics

1 answer:

Assoli18 [71]3 years ago

3 0

f(g(x))=10x+105

Option C is correct.

Step-by-step explanation:

We are given:

f(x)=10x+25

and g(x)=x+8

We need to find f(g(x)).

Finding f(g(x))

Putting value of g(x), in the f(x)

$f(g(x))=f(x+8)\\f(x+8)=10(x+8)+25\\f(x+8)=10x+80+25\\f(x+8)=10x+105$

So, f(g(x))=10x+105

Option C is correct.

Keywords: Composite Functions

Learn more about Composite Functions at:

#learnwithBrainly

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Find the equation of a line that is parallel to line g that contains (P, Q).

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Correct option:

$\boxed{x-y=P-Q}$

<h2>Explanation:</h2>

Given that the line we are looking for is parallel to g, then the slope of that line and g is the same, therefore:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ (x_{1},y_{1})=(-3,2) \\ \\ (x_{2},y_{2})=(0,5) \\ \\ \\ m=\frac{5-2}{0-(-3)}=1$

So we can write the point-slope form of the equation of the line as follows:

$y-y_{0}=m(x-x_{0}) \\ \\ (x_{0},y_{0})=(P,Q) \\ \\ \\ y-Q=1(x-P) \\ \\ y-Q=x-P \\ \\ \\ Arranging: \\ \\ P-Q=x-y \\ \\ \boxed{x-y=P-Q}$

<h2>Learn more:</h2>

Graphying systems of linear equations: brainly.com/question/13799715

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8 0

3 years ago

Read 2 more answers

Math 8: Linear Functions, Part 2

Studentka2010 [4]

Answer:

$\boxed{\text{1. y + 5 = -4(x - 3); \qquad 2. y - 8 = x + 1}}$

Step-by-step explanation:

Question 1

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 3; y₁ = -5; m = -4

Substitute the values

$\boxed{\textbf{y + 5 = -4(x - 3)}}$

The diagram shows the graph of equation 1 (red) with slope -4 passing through (3,-5).

Question 2

x₁ = -1; y₁ = 8; m = 1

Substitute the values

$\boxed{\textbf{y - 8 = x + 1}}$

The diagram shows the graph of equation 2 (green) with slope 1 passing through (-1,8).

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3 years ago

The larger number is 18 more than twice the smaller.if the sum of the two numbers is 93,find both numbers

kodGreya [7K]

Answer:

I believe the numbers are 25 and 68.

Step-by-step explanation:

25 is the smaller number, 25 x 2 = 50, 50 + 18 = 68, and 68 + 25 = 93.

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3 years ago

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Find the distance between the two points (-10,3) and (0,27)

crimeas [40]

Answer:

26 units

Step-by-step explanation:

$\boxed{distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }$

Using the formula above,

distance between (-10, 3) and (0, 27)

$= \sqrt{ {( - 10 - 0)}^{2} + {(3 - 27)}^{2} }$

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$= \sqrt{100 + 576}$

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2 years ago

An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3.

Shtirlitz [24]

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

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The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

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The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0. $\overline 1$ yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0. $\overline 1$ yd. = (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

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Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel pad, m₁ = ρ × V₁

∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

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