1 year ago

Evaluate the expression below when x = 3 54 ÷ 2•3-x²

Mathematics

1 answer:

geniusboy [140]1 year ago

8 0

Answer:

Step-by-step explanation:

54/2(3)−3^2

= 54/2(3)−3^2

=72

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Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =

aniked [119]

Answer:

The equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

y-intercept b = -12

slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

$y = mx+b$

$y\:=\:\frac{3}{2}x\:+\:\left(-12\right)$

$y\:=\:\frac{3}{2}x\:-12$

Therefore, the equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

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2 years ago

Which of the following statements are true regarding functions?<br><br> Check all that apply.

Alex

Answer:

The horizontal line test may be used to determine whether a function is one-to-one.
The vertical line test may be used to determine whether a relation is a function.

Step-by-step explanation:

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1 year ago

Find last year’s salary if this year’s salary is $48,200 after a 3% pay raise ?

viktelen [127]

Answer:

49646

Step-by-step explanation:

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2 years ago

A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall i

alex41 [277]

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

$\frac{h}{h'}=\frac{l}{l'}$

$\frac{12}{h'}=\frac{6}{1.5}$

$h'=\frac{12\times 1.5}{6}$

$h'=3$ ft

Hence, the height of fire hydrant=3 ft

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3 years ago

If college tuition and fees, room and board, books, and other charges total $10,154, what is a reasonable savings goal for a fam

egoroff_w [7]

The answer is D. The family would want to sale more or equal to what the cost is. 10,100 is 54 dollars too short how ever 10,200 is 46$ over what they need which is what they need.

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3 years ago