All categories

3 years ago

Solve for .

Mathematics

1 answer:

bezimeni [28]3 years ago

4 0

Answer:

smaller x =-1/2

larger x = 7

Step-by-step explanation:

(x-7)(-4x - 2) = 0

Using the zero product property

(x-7)=0 (-4x - 2) = 0

x-7+7 = 0+7 -4x-2-2 =0+2

x=7 -4x =2

-4x/-4 = 2/-4

x = -1/2

You might be interested in

The area of a photograph is 35 square inches. Its length is two inches longer than its width. Find the length and width of

devlian [24]

Answer:

length is 7 inches and the width is 5 inches

Step-by-step explanation:

Hello, I think I can help you with this

the area of a rectangle is given by:

$(equation1)Area=length * width\\$

Step 1

According to the question data,the length is two inches longer than its width.which means that you can take the width and add 2 inches to obtain the length, in mathematical terms

(equation 2)Width + 2 inches = length

Step 2

Now, put equation 2 into equation 1

$Area=length * width\\Area=(width + 2 )*width\\Area=width^{2}+2widht\\Let\ width=w$

Step 3

replace and solve for w

Let

A=35

$A=35\\Area=w^{2} +2w\\35=w^{2} +2w\\w^{2} +2w-35=0\\use\ quadratic\ formula\ to\ solve\\if\\ax^{2} +bx+c=0\\x=\frac{-b +- \sqrt[2]{b^{2}4ac } }{2a}\\ +- means\ there\ are\ 2\ solutions, we\ will\ take\ the\ positive\ one, because\ it\ is\ a\ distance.\\Now, replacing\\a=1,b=2,c=35\\\\w=\frac{-2 + \sqrt[2]{2^{2}-4*1*-35 } }{2*1}\\w=\frac{-2 + \sqrt[2]{4+140} }{2}\\w=\frac{-2+\sqrt{144} }{2} \\w=\frac{-2+12}{2}\\w=\frac{10}{2}\\w=5$

so, the width is 5 inches,

replacing this value in equation 2

Width + 2 inches = length

5 in +2 in =length

7 in = length

so , the length is 7 inches

Have a good day.

4 0

3 years ago

What is 3/4 and 5/12 simplified in fraction form plz idk

Yuliya22 [10]

Isn’t it already simplified?... or am i stupid.

6 0

3 years ago

Read 2 more answers

Yes we did learn 1 and 2 step equation this should be a piece of cake

ANTONII [103]

What do you need help with?

6 0

3 years ago

1 quart of milk into 4 bottle i had 1/4 milk how many ounces pour into each bottle

PSYCHO15rus [73]

Answer:

1 quart is 36 ounces, if you evenly split it into 4 bottles then each bottle has 9 ounces

Step-by-step explanation:

7 0

4 years ago

Decrease 784 in the ratio 3:4

Y_Kistochka [10]

Answer:

336 and 448

Step-by-step explanation:

sum the ratio

divide the actual number by the sum i.e 784÷7=122

multiply 112 by 3 and by 4

4 0

3 years ago