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FinnZ [79.3K]
3 years ago
12

I’m having trouble expressing my answer in algebraic notation

Mathematics
1 answer:
andre [41]3 years ago
8 0
\bf -2x-4\le -4x+4\implies -2x\underline{+4x}-4 \le -4x\underline{+4x}+4
\\\\\\
2x-4\le 4\implies 2x-4\underline{+4}\le 4\underline{+4}\implies 2x\le 8
\\\\\\
x\le \cfrac{8}{2}\implies x\le 4
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Does the equation y=-1/3x1/3 form a straight line
weqwewe [10]
Yes because it is a linear equation 
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3 years ago
Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge
Ede4ka [16]

Answer:

Part a) The quadratic function is 4x^{2} +20x-39=0

Part b) The value of x is 1.5\ in

Part c) The photo and frame together are 7\ in wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0

Part b) What is the value of x?

Solve the quadratic equation 4x^{2} +20x-39=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem

we have

4x^{2} +20x-39=0

so

a=4\\b=20\\c=-39

substitute in the formula

x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}

x=\frac{-20(+/-)\sqrt{1,024}} {8}

x=\frac{-20(+/-)32} {8}

x=\frac{-20(+)32} {8}=1.5\ in  -----> the solution

x=\frac{-20(-)32} {8}=-6.5\ in

Part c) How wide are the photo and frame together?

(4+2x)=4+2(1.5)=7\ in

5 0
3 years ago
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Answer:

D <u><em>Because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224.</em></u>

Step-by-step explanation:

When you cross multiply, you get 14×16=224, and 224÷4=56.

6 0
3 years ago
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Answer:

Your answer will be (6,1)

Step-by-step explanation:

I know this because a reflection over the x-axis is (x,y) -> (x,-y) If you apply this to (6,-1) you get (6,1).

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What number has exactly 5 factors between 1 and 20
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