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1 year ago

The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?

Mathematics

1 answer:

Setler79 [48]1 year ago

3 0

Answer:

x = 5

x = 3

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is +15

Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .

-15 + -1 = -16

-5 + -3 = -8

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Which of the following relations is a function?

Murljashka [212]

Answer:

c is the one with function

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2 years ago

I need help please!!!

const2013 [10]

Part 1

<h3>Answer: 13</h3>

---------------------

Explanation:

We'll replace every copy of x with -3. Then use PEMDAS to simplify.

f(x) = -2x+7

f(-3) = -2(-3)+7

f(-3) = 6+7

f(-3) = 13

===========================================================

Part 2

<h3>Answer: -11</h3>

---------------------

Explanation:

We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).

We'll replace f(x) with 29 and solve for x like so

f(x) = -2x+7

29 = -2x+7

-2x+7 = 29

-2x = 29-7

-2x = 22

x = 22/(-2)

x = -11

Note how if you replaced x with -11, we'd get,

f(x) = -2x+7

f(-11) = -2(-11)+7

f(-11) = 22+7

f(-11) = 29

which helps confirm we have the correct answer.

8 0

2 years ago

What is the equation of the line?

Pepsi [2]

The line cuts the X axis at $x=3$ and is parallel to the Y axis.

Thus the equation of the line is $\boxed{x=3}$

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2 years ago

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What is the linear function equation represented by the graph?

victus00 [196]

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

Further explanation:

The formula for slope of line can be expressed as,

$\boxed{m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}}$

Explanation:

The line intersect $\text{y}$ -axis at $\left( {0,- 4} \right).$

Therefore, the $\text{y}$ -intercept is -4.

The line passes through the points $\left( {0,- 4} \right)$ and $\left( {3,- 3} \right)$ .

The slope can be obtained as follows,

$\begin{aligned}m &= \frac{{- 3 - \left( { - 4} \right)}}{{3 - 0}}\\&= \frac{{ - 3 + 4}}{3}\\&= \frac{1}{3}\\\end{aligned}$

The slope of the line is $\dfrac{1}{3}.$

The slope intercept form of the linear equation is given as follows.

$\boxed{y = mx + k}$

Substitute $\dfrac{1}{3}$ for m and -4 for k in equation $y = mx + k.$

$y = \dfrac{1}{3}x - 4$

The linear function equation is $\boxed{y = \frac{1}{3}x - 4}.$

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: graph function, numbers, slope, slope intercept, equation, linear function, linear equation, y-intercept, graph, representation, origin.

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2 years ago

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How many 3/8's are in 6?

GrogVix [38]

Answer:

That is 6 divided by 3/8, better written as

====

Invert the 3/8 and then multiply:

6 8

-- * ---

1 3

Reduce 6/3: 6/3 = 2

Then you have 2(8), or 16 (answer)

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2 years ago

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