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3 years ago

What is the vertex of y=3|x+1|-2

Mathematics

1 answer:

spin [16.1K]3 years ago

7 0

Answer:

(-1,-2)

Step-by-step explanation:

Generally, the absolute value function can be expressed like so:

f(x) = y = a|x-h|+k, where vertex: (h,k)

Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)

So the vertex is at (-1,-2)

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A rate that describes how much smaller or larger the scale drawing is than then real object

Tems11 [23]

I'm not sure what is being asked here, but a rate that describes how much smaller or larger the scale drawing is than the real object would be a ratio such as 1in:25ft

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3 years ago

Solve the equation. Check your solution. (1/2 is a fraction for one half <br> s-1/2=1/2

Alchen [17]

Answer:

$s = 1$

Step-by-step explanation:

Given

$s - \frac{1}{2} = \frac{1}{2}$

Required

Solve for s

$s - \frac{1}{2} = \frac{1}{2}$

Add $\frac{1}{2}$ to both sides

$s - \frac{1}{2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}$

Take LCM

$s + \frac{-1+1}{2} = \frac{1+1}{2}$

$s + \frac{0}{2} = \frac{2}{2}$

$s +0 = 1$

$s = 1$

4 0

3 years ago

Tyler used 1 1/2 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence?

Mademuasel [1]

9514 1404 393

Answer:

1) (1 1/2)(7/5) = g

2) (1 1/2)/(5/7) = g

Step-by-step explanation:

1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.

The total amount of paint needed is then 7/5 the amount already used:

g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence

2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:

(5/7)g = 1 1/2

g = (1 1/2)/(5/7) . . . . division expression for the paint needed

3 0

2 years ago

Please look at the picture

arlik [135]

Answer:

1.5

Step-by-step explanation:

Vertical angles are congruent so:

7x=8x-12

Subtract 7x from both sides:

0=8x-12

Add 12 to both sides:

8x=12

Divide both sides by 8:

x=1.5 or

x= 3/2

7 0

3 years ago

Use the Zero Product Property to find the x-intercepts for x^2+6x=y

Semmy [17]

Answer:

$x=0\ or\ x =-6$

Step-by-step explanation:

Given

$x^2+6x=y$

Required

Determine the x intercepts

To get the x intercepts, we simply set y to 0

Substitute 0 for y;

$x^2+6x=0$

Factorize:

$x(x +6) = 0$

Apply zero product property

$x=0\ or\ x + 6 =0$

$x=0\ or\ x =-6$

4 0

3 years ago