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3 years ago

26x + 14 = 49x - 13 Represent x on the number line and also find x

Mathematics

1 answer:

ladessa [460]3 years ago

7 0

Answer:

49x-26x=-13 - 14

23x=-1

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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

In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ). What is the cost per ounce?

Nastasia [14]

Solution:

we are given that

In a certain grocery store, strawberries cost $6.40 per pound ( 6.40 dollars/lb ).

we have been asked to find the cost per ounce?

As we know that

16 oz=1 lb

so we will divide by 16 to get the cost per ounce.

strawberries cost $6.40 per pound so for 1 oz it will cost $=\frac{6.40}{16}= 0.4$ $

Hence cost per ounce is 0.40 $

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3 years ago

When factoring, what should be the greatest common factor of the terms left inside the parenthesis?

skad [1K]

Answer:

Step-by-step explanation:

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Two inetgers that are the same distance from 0 on a number line but opposite sides of 0 are called

IrinaVladis [17]

Additive inverses, because their sum is 0

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Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.

Ronch [10]

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

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3 years ago

26x + 14 = 49x - 13 Represent x on the number line and also find x​

26x + 14 = 49x - 13 Represent x on the number line and also find x