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2 years ago

Solve the inequality and graph the solution x +1 2/5 _< 6 8/10

Mathematics

1 answer:

mixer [17]2 years ago

6 0

Answer: x < 5 $\frac{2}{5}$

Step-by-step explanation:

x + 1 $\frac{2}{5}$ < 6 $\frac{8}{10}$

x + 1 $\frac{2}{5}$ < 6 $\frac{4}{5}$

x < 5 $\frac{2}{5}$

graph is attached

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What is 3/8 x 16/7? i don't know. it is for my math homework?

liberstina [14]

Multiply the top and bottom.

3/8 * 16/7 = 48/56

Simplified: 5/7

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4 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

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

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

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?

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

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3 years ago

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Answer:

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Step-by-step explanation:

I’ve done this already but if you need me to explain lmk:)

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3 years ago

Write the words for:<br><br> (3/4 - 1/5) x 4:

adoni [48]

Answer:

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Step-by-step explanation:

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Diano4ka-milaya [45]

Answer:

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Step-by-step explanation:

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