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2 years ago

Use the graph to determine the y intercept

Mathematics

1 answer:

mafiozo [28]2 years ago

8 0

Answers:

y intercept: 9
zeros: -3, -1, 1, 3

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Explanation:

The y intercept is where the curve crosses the y axis. The curve appears to do so just below y = 10, so y = 9 seems like a good estimate. I'm basing this off of the answer choices given. The y intercept always occurs when x = 0.

The zeros, aka roots or x intercepts, are where the curve crosses or touches the x axis. This occurs in four locations: x = -3, x = -1, x = 1 and x = 3. The x intercepts always occur when y = 0.

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The solution to -2[1 - 4x] = 3x + 8 is

kvasek [131]

Answer: " 14 " .

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→ " x = 14 " .

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Step-by-step explanation:

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First, let us simplify the expression on the "left-hand side" of the equation:

→ -2(1 −4x) ;

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Note the "distributive property of multiplication" :

→ a(b + c) = ab + ac .

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As such, we can rewrite:

→ -2(1 − 4x) = (-2)(1) + (-2)(-4x) ;

= - 2 + 8x ;

↔ 8x − 2 ;

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Now, rewrite the entire expression:

→ 8x − 2 = 3x + 8 ;

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Subtract "(3x)" from each side of the equation;

and add "2" to each side of the equation:

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→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:

→ 5x = 10 ;

Now, divide each side of the equation by "5" ;

to isolate "x" on side of the equation;

& to solve for "x" ;

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→ 5x/5 = 10/5 ;

to get:

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→ x = 2 .

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Now, let us check our work:

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Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;

when "x = 2" :

________________________

Note the given equation:

________________________

→ -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

→ 3(2) + 8 = 6 + 8 = 14 .

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→ 14 =? 14 ??? ; Yes!

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Hope this is helpful to you!

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5 0

3 years ago

-3x-4y=12 just do it

allochka39001 [22]

Answer: X intercept: (-4,0) Y Intercept: (0,-3)

Step-by-step explanation: i dont know if thats how it was suppose to be done or not but that is just the intercepts for it.

6 0

1 year ago

Read 2 more answers

Will give brainliest

noname [10]

I apologize if i’m wrong but i’m pretty sure it’s B. 300 square inches

3 0

2 years ago

Read 2 more answers

I need help on this problem in math

S_A_V [24]

Answer:

correct answer is C
Haley incorrectly applied the distributive property

Step-by-step explanation:

If you simplify the given equation, you find it matches choice C.

$\dfrac{1}{2}(6-x)+3x=\dfrac{1}{2}x-8\\\\3-\dfrac{1}{2}x+3x=\dfrac{1}{2}x-8\\\\3+\dfrac{5}{2}x=\dfrac{1}{2}x-8\qquad\text{matches choice C}$

Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...

1/2(6 -x) ⇒ 3 -x . . . . instead of 3 -1/2x

Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.

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<em>Additional comment</em>

It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.

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2 years ago

Trent, Linda and Pam paint a poster that is 4 feet long. They each paint an equal amount. How many feet does each student paint

tester [92]

They each paint a part of the poster that is 1.333 or 1 1/3 feet long. Hope this helps:)

7 0

3 years ago