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3 years ago

F(x) = 2x2 - 5 and g(x) = 5x + 7 Find f(g(x)) = [ ? ]x2 + [ ]x +

Mathematics

1 answer:

lbvjy [14]3 years ago

8 0

Answer:10x^2 -18

Step-by-step explanation:since f(x) is becoming the new x then youd subtitute the equation into the x of the g(x) equation. which would be 5(2x^2 -5) +7 which is 10x^2 -25 +7.and you'd simplify from there.

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Students in Mr. Tallow's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many

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Answer:

Step-by-step explanation:

280×25%=70 pages per night

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3 years ago

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A brand of clay brick tiles has the dimensions 3 5 8 by 7 5 8 by 1 2 inch. These thin bricks are commonly used for floors. Estim

raketka [301]

Answer: The cost to tile the floor is $318.24.

Step-by-step explanation:

Since we have given that

Dimensions of floor is 12 by 17 foot.

So, Area of floor would be

$12\times 17\\\\=204\ sq.\ foot$

As we know that 1 foot = 12 inch

So, Area of floor would be

$204\times (12)^2\\\\=204\times 144\\\\=29376\ sq.\ foot$

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$3\dfrac{5}{8}\ by\ 7\dfrac{5}{8}\ by\ \dfrac{1}{2}$

So, Area of brick tiles is given by

$2(lb+bh+lh)\\\\=2(\dfrac{29}{8}\times \dfrac{61}{8}+\dfrac{61}{8}\times \dfrac{1}{2}+\dfrac{29}{8}\times \dfrac{1}{2})\\\\=2(\dfrac{1769}{64}+\dfrac{61}{16}+\dfrac{29}{16})\\\\=2\times \dfrac{1769+244+116}{64}\\\\=\dfrac{2129}{32}$

So, Number of clay brick would be

$29376\div \dfrac{2129}{32}\\\\=29376\times \dfrac{32}{2129}\\\\=\dfrac{29376\times 32}{2129}\\\\=441.53\\\\\approx 442$

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So, Total cost of flooring would be

$442\times 0.72\\\\=\$318.24$

Hence, The cost to tile the floor is $318.24.

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3 years ago

can someone help me!! Use algebraic rules of equations to predict the solution type to the system of equations. Include all of y

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Answer:

x + y = 4 Equation 1

y = 2x -1 Equation 2

-2x + y = -1

x + y = 4

Subtract

You will get

- 3x = -5

Divide by -3

-3x / -3 = - 5 /-3

x = 5/3

Substitute x into equation 1

x + y = 4

x = 5/3

5/3 + y = 4

y = 4 - 5/3

y = 7/3

x = 5/3 y = 7/3

Hope this helps.

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3 years ago

What is the domain of the function y = log(x + 3)?

nata0808 [166]

Find the domain of

y = log(x + 3)

Logarithms can only be taken for positive numbers. So you must have

x + 3 > 0

x > – 3 ✔

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or using the interval notation

D = (– 3, +∞)

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4 years ago

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Solve this inequality. 7.2-3w<4.5

zlopas [31]

Answer:

w>0.9

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7.2-3w<4.5

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The inequality switches when divided by a negative.

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3 years ago

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