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3 years ago

Please help me click on image and explain answer

Mathematics

2 answers:

Minchanka [31]3 years ago

4 0

The awnser is 2 because 2 x 3 is 6.

harina [27]3 years ago

3 0

The answer is 2. each toy <span />

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If the y-intercept is b= -9 and the slope is m= 1. What is the slope intercept form? How do I set it up?

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Answer:

y=1x-9 That's the equation if you're trying to figure that out and the slope would be 1/1

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4 years ago

Read 2 more answers

A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex

Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

$I=P*r*t$

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

$I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1$

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

$I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y$

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

$x+y=50000$

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

$y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500$

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

$x+y=50000\\12500+y=50000\\y=50000-12500=37500$

Therefore, the loan at 8% is $37500

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4 years ago

A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?

LiRa [457]

Answer:

$y = x-7$

Step-by-step explanation:

To write the equation of the line in slope-intercept form, use the slope-intercept formula, $y = mx +b$ . Find real values for the $m$ and $b$ and substitute them into the formula.

1) We know that $m$ represents the slope, so substitute 1 in its place. However, we still need to find $b$ , or the y-intercept. So, along with substituting that 1 in for $m$ , substitute the x and y values for (7,0) for the x and y in the formula as well. Then, isolate $b$ to find its value:

$y = mx + b\\0 = (1)(7)+b\\0 = 7 + b\\-7 = b$

So, $b$ = -7.

2) Now, just substitute the found values for $m$ and $b$ into the slope-intercept formula. Remember that the slope is $m$ , so substitute 1 in, and $b$ is -7, so substitute -7 in its place as well. This gives the following equation in slope-intercept form:

$y = 1x -7$ or $y = x-7$

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3 years ago