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3 years ago

How many solutions does this equation have?

Mathematics

2 answers:

zhenek [66]3 years ago

6 0

One solution because when you switch the - to the other side it will be positive which will equal one and make it one solution.

harkovskaia [24]3 years ago

4 0

Answer:

No solutions

Step-by-step explanation:

The answer is no solutions because if you combine like terms you will get 7=0x

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the area of a rectangular swimming pool is 10x^2-19-15 the length is 5x+3 .what is the width of the pool?

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3 years ago

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X^2 + 10x = -16 Solve

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3 years ago

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Yuliya22 [10]

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3 years ago

Write the equation of a line perpendicular to y=1/2x + 8 that passes through ( 4, 9 ).

iogann1982 [59]

Answer:y = - 2x + 17

Step-by-step explanation:

The equation of a line, represented in the slope-intercept form, is

y = mx + c

Where

Slope = m

c = intercept

Looking at the equation given,

y=1/2x + 8

Slope,m = 1/2

If a line is perpendicular to a another line, then the slope of one line is equal to the negative reciprocal of the other line. It means that the slope of the perpendicular line that passes through that passes through ( 4, 9 ) will be -2

To determine c,

We will substitute m = -2, y = 9 and x = 4 into the slope intercept equation,

y = mx + c. It becomes

9 = -2 × 4 + c

9 = -8 + c

c = 9 + 8 = 17

The equation becomes

y = - 2x + 17

4 0

3 years ago

An art teacher has a jar containing b buttons to distribute to her class for a project. In order to give each in the class 6 but

Nastasia [14]

Answer:

Step-by-step explanation:

Given:

An art teacher has the total number of buttons = $b$

1. In order to give each in the class 6 buttons, she will need 18 more buttons.

2. If she gives each child 5 buttons, she will have 4 left over.

Question asked:

How many children are in the class ?

Solution:

Let total number of children in the class = $x$

As given that, 18 more buttons will be needed to give 6 buttons to each.

The equation will be:-

$b+18=6x\\b-6x=-18\ (equation\ 1)$

Also given that, If she gives 5 buttons to each, she will have 4 left over.

The equation will be:-

$b-5x=4\ (equation\ 2)$

Subtraction equation 2 from 1

$b-6x-(b-5x)=-18-4\\b-6x-b+5x=-22\\-6x+5x=-22\\-x=-22\\Minus\ canceled\ by\ minus\\x=22$

Hence, total number of children are 22.

4 0

4 years ago