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mario62 [17]
3 years ago
13

PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!

Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

Answer:

The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

  • y = -7x-2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • The point (-1, 5)
  • Slope m = -7

substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation

y = mx+b

5 = -7(-1) + b

5 = 7+b

b = 5-7

b = -2

Thus, the y-intercept is: b = -2

now substituting b = -2 and m = -7 in the slope-intercept form of the line equation

y = mx+b

y = -7x+(-2)

y = -7x-2

Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:

  • y = -7x-2
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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0
3 years ago
What is the domain of f(x)=(1/4)^x?
atroni [7]

\huge \bf༆ Answer ༄

The domain of given function is <u>All real numbers</u>

\sf \: f(x) = { \bigg( \dfrac{1}{4}  \bigg) }^{x}

For each value of x the function is defined.

Example -

  • For x = 1

The value is \sf\frac{1}{4}

  • For x = -1

The value is 4

꧁  \:  \large \frak{Eternal \:  Being } \: ꧂

3 0
2 years ago
Which of the following options have the same value as 75%of 96%? Choose 3 answers
evablogger [386]

the answers are a, b, and c.

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3 years ago
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Marci purchased the rug shown. To the nearest hundredth, what area of floor space will the rug cover? (π = 3.14)
quester [9]

Answer:

63.59

Step-by-step explanation:

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Marnie had two pages of math homework and four pages of ELA homework. If each page had 14 questions on it, how many questions di
ahrayia [7]

Answer:

84

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First, there are 6 pages of work. then multiply 6 by the number of questions (14)

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