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3 years ago

The equation below represents Function A and the graph represents Function B:

Mathematics

2 answers:

I am Lyosha [343]3 years ago

7 0

Answer:

<h2>Slope of Function B = -Slope of Function A</h2>

Step-by-step explanation:

To find the right answer we need to calcultate the slope of each function.

Function A is $f(x)=-2x+1$

From its expression we can deduct that its slope is $m_{A} =-2$ because the function is expressed in slope-intercept form where the coefficient of the x is the slope.

Now, function B is defined with a graph line, that intercepts points (-1,-5), (2,1) and (3,3). Using this points we can find its slope using the formula

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\m_{B} =\frac{3-(-5)}{3-(-1)} =\frac{3+5}{3+1}=\frac{8}{4}=2$

So, function A has a slope of -2 and function B has a slope of 2.

Therefore, the last choice compares both slopes, because they are just opposite,

$m_{B}=-m_{A}$

So, the answer is

Slope of Function B = -Slope of Function A

Snezhnost [94]3 years ago

6 0

Answer:

Slope of Function B = – Slope of Function A

Step-by-step explanation:

Slope of function A= $-2$

Slope of function B=$\frac{3-1}{3-2}=2$

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Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6

PilotLPTM [1.2K]

Answer:

a. $(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. $s=-\frac{37}{12}$

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of $6s$ and $5s$ " must be expressed as:

$6s-5s$

- Then, "Three more than the difference of $6s$ and $5s$ " is:

$(6s-5s)+3$

- "The difference of $\frac{1}{12}$ and $\frac{1}{6}$ " can be expressed in this form:

$\frac{1}{12}-\frac{1}{6}$

Therefore, "Three more than the difference of $6s$ and $5s$ is equal to the difference of $\frac{1}{12}$ and $\frac{1}{6}$ " is:

$(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. Solve for "s" in order to find its value:

$s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}$

8 0

3 years ago

What is the product? (2x - 1)(x+4) 2²-4 2x²+4 2x^2+7x-4 2x^2-7x-4

SVETLANKA909090 [29]

2x^2 -7x -4 is the answer

7 0

3 years ago

I need help bc I keep getting confused

umka2103 [35]

Answer:

6 3/4 (six and three fourths)

Step-by-step explanation:

First, we must turn 4 6/7 into an improper fraction, AKA 28/7. Now, you can't subtract 1/4 from 28/7, can you? So what you need to do is find the greatest common factor of 4 and 7. The GCF would be 28 (7 x 4 = 28, 4 x 7 = 28).

Now we know that the GCF is 28, we can turn the numbers into 28/28 and 1/28. But wait! We aren't done yet. Now we have to change the numerators. Since you multiplied the denominator (7) by 4 to get 28, you must now multiply 28 by 4 as well. (If you do something to the bottom, you have to do it to the top!) Because of this, we are now at 196/28.

Next, we must do the numerator of 1/28. Since we multiplied the denominator (4) by 7 to get 28, we must now multiply 1 by 7. This gets you to 7/28.

It's finally time to subtract. 196 - 7 is 184, so we are at 184/28. But hey, that's an improper fraction! You have to simplify. 184 divided by 28 is 6.75. 0.75 is 3/4 when turned into a fraction.

Mash 6 and 3/4 together, and you've got your answer! 6 3/4.

7 0

3 years ago

a right trangle has one angle that measures 70 what is the measure of the other acute angle in the triangle

inna [77]

Answer:

Step-by-step explanation:

We know that the interior angle measures of a triangle are 180, and we are told that this is a right triangle.

Since we know the measure of two angles, we just have to do basic math:

180=90+70+x

solve for x (which equals 20) to get the measure of your acute angle

3 0