Write an equation for the line in slope-intercept form

Compare the functions. f(x)=10x g(x)=5^x h(x)=4x^2+5x select the true statement

antiseptic1488 [7]

Answer:

equals 56

Step-by-step explanation:

7 0

3 years ago

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What is the area of this triangle in the coordinate plane?

Klio2033 [76]

Hey. Let me help you on this one.

In order for us to solve this problem, we will be needing to find both length and width of the triangle on this coordinate plane. We will also need to know how to use the triangle area formula.

I will be attaching an image containing the shown difference between a rectangle, and a triangle, and on how to understand why the area of a triangle is like this.

First of all, let's find the length of the triangle. It's 11 units, and we can determine that by counting up all of the units, or simply finding the difference between x-point 13 and 2, which is going to be 11.

Same applies to the width of the triangle. We will need to either count up all the units individually, or find a difference between a higher y-point and lower y-point. That difference is going to 5 units, since $9-4=5$ .

Now, let's use the formula for the triangle area and substitute the values.

$S= \frac{a*b}{2}$
$S= \frac{11*5}{2}$
$S= \frac{55}{2}$
$S=27.5$

Answer: Area of the triangle on the coordinate plane is 27.5 units squared.

3 0

4 years ago

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The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3,

DochEvi [55]

Answer:

a

Step-by-step explanation:

8 0

3 years ago

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C240

djyliett [7]

Answer:

$3800

Step-by-step explanation:

When simple interest is added to the principal amount, the sum increases linearly with time. Essentially, you are asked for the y-intercept of a line that goes through the points (2, 6200) and (3, 7400). You can use the 2-point form of the equation of a line to find it:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (7400 -6200)/(3 -2)(x -2) +6200 . . . . fill in given points

y = 1200(x -2) +6200 . . . . . . . . . simplify some

y = 1200x -2400 +6200 . . . . . . simplify more

y = 1200x +3800 . . . . . . . . . . . . . completely simplify

When the number of years (x) is zero, the amount is 3800. The principal is $3800.

_____

The account is earning $1200 per year on a principal of $3800. The interest rate is about 31.6%, an unusually high value.

_____

<em>Alternate solution</em>

You can recognize that the interest earned in one year is 7400 -6200 = 1200. Since this is simple interest, the amount of interest earned each year is the same, so in 3 years, the account has earned 3×$1200 = $3600 in interest. Then the original principal amount must be ...

$7400 -3600 = $3800 . . . . . principal amount

5 0

4 years ago

Help PLEASE im stucckkkk!!!

noname [10]

Answer:

Surface area of the cube = $150\ cm^2$