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2 years ago

Which ordered pair is a solution to every linear equation of the form y = mx, where m is a real

Mathematics

1 answer:

krok68 [10]2 years ago

4 0

The ordered pair which is a solution to every linear equation of the form given is; (0, 0).

<h3>Which ordered pair is a solution to the linear equation?</h3>

It follows from the task content that the ordered pair which satisfies the equation of the form y =Mx be determined.

On this note, since the product of any real number, slope in this scenario and 0 is; 0.

Ultimately, it follows that the required ordered pair is; (0, 0) for any real number value of the slope, m.

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What is the sales tax on the chair shown if the tax rate is 5.75% ( the chairs price is $178.90)

Arturiano [62]

Sales tax is:
$178.90* (5.75/100)=$10.29

The sales tax of the chair is $10.29~

7 0

3 years ago

You are preparing a community garden with your youth group to have enough room for the spots for all the people who already sign

Annette [7]

Answer:

Step-by-step explanation:

Given:

The length of the garden needs to be 22 feet longer than the width of the garden.

The perimeter of the fence is a total of 324 feet

Question asked:

What will the length be of garden ?

Solution:

As length of the garden needs to be 22 feet longer than the width,

<u>Let width</u> = $x$

Then,<u> length </u>will be = $x+22$

As here perimeter of the fence is given, we can find length and width of garden by using:

Perimeter of rectangle = $2(length+width)$

$324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\$

Subtracting both sides by 44

$324-44=4x+44-44\\280=4x\\$

Dividing both sides by 4

$70=x$

Width = $x$ = 70 feet

Then, length will be = $x+22$ = 70 + 22 = 92 feet

Therefore, the length of the garden will be 92 feet.

3 0

3 years ago

A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are

Shalnov [3]

A histogram with frequency on the x-axis and ages on the y-axis is shown below. Then the correct option is A.

<h3>What is a histogram?</h3>

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A large construction company wants to review the ages of its sales representatives.

A sampling of the ages of 25 sales reps are given:

50, 42, 32, 35, 41, 44, 24, 46, 31, 47, 36, 32, 30, 44, 22, 47, 31, 56, 28, 37, 49, 28, 42, 38, 45.

Then the histogram with frequency table is given as

Range Frequency

20 to 24 2

25 to 29 2

30 to 34 5

35 to 39 4

40 to 44 5

45 to 49 5

50 to 54 1

55 to 59 1

Then the correct option is A.

The histogram is given below.

More about the histogram link is given below.

brainly.com/question/16819077

#SPJ1

6 0

2 years ago

Need your help ASAP please help

eduard

His average is 86 so it is below 90. to get his average i just added all of his grades up to get 517 and then I divided 517 by 6 because thats how many grades he has and I got 86.

On the Grade row in the table it would go 83, 94, 79, 90, 96, 75 in order

The Above/Below 90 row would go -7, 4, 11, 7, -6, -3 in order

Lamont needs to get a 99 on his next test to have an average of exactly 90.

I HOPE THIS HELPED! PLEASE RATE ME AND MAKE MY ANSWER MOST BRAINLIEST!!

5 0

3 years ago

If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?

Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

$g(x)=4x^2-16$

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

$Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:$

$\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)$

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it $h(x)$ ) will be:

$h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17$

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

$(0,-16)$

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

$New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)$

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0

3 years ago