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aleksandrvk [35]
3 years ago
9

What is the sum of x2-3x+7 and 3x2+5x-9

Mathematics
1 answer:
Ghella [55]3 years ago
5 0
(x² - 3x + 7) + (3x² + 5x - 9)
(x² + 3x²) + (-3x + 5x) + (7 - 9)
4x² + 2x - 2
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Find the height of a trapezoid if the bases have lengths of 6 and 17 and the area of the trapezoid is 46 square units.
Aleksandr [31]

Answer:

4 units

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h(a + b)

where h is the height and a, b the bases

here A = 46, a = 6 and b = 17, hence

46 = \frac{1}{2} h(6 + 17) ( multiply both sides by 2 )

92 = h(23) ← divide both sides by 23 )

h = \frac{92}{23} = 4 units

8 0
3 years ago
A new car is purchased for 24600 dollars. The value of the car depreciates at 13.75% per year. What will the value of the car be
liraira [26]

Answer:

The value will be $1,411.20

Step-by-step explanation:

What we do here is to set up an exponential equation to calculate the value.

Mathematically it will look like this;

V = I(1-r)^n

where V is the future value

I is the initial amount = 24,600

r is rate of decrease = 13.75% = 13.75/100 = 0.1375

n is the number of years = 15 years

substituting these values, we have

V = 24,600(1-0.1375)^15

V = 24600(0.8625)^15

V = 1,411.165582454129

= $1,411.20

7 0
3 years ago
How many solutions are there to the equation 10= a + b + c with each of a, b, and c a whole number greater than or equal to zero
djverab [1.8K]
If <em>a</em> is fixed and <em>b</em>,<em>c</em> are unknowns then the equation <em>b</em>+<em>c</em>=10-<em>a</em> has 11-<em>a</em> solutions. They are pairs (b,c): (0,10-a), (1,9-a), (2,8-a), ... (10-a,0). As <em>a</em> runs from 0 to 10 we have total number of solutions (11-0)+(11-1)+...(11-1)=11+10+...+1=(1+11)*11/2=66.
4 0
3 years ago
Write a conditional statement that is false but has a true inverse fast please
Marina CMI [18]

Answer:

If two angles are not complementary, then their angles add up to 180 degrees.

Step-by-step explanation:

4 0
3 years ago
Jason wrote this expression to describe the total amount he will spend on a magazine and a book.
kati45 [8]
The 11 may represent the price of the magazine if all the magazines at a certain store are $11. Then the s may represent the price of a book because all the books at a bookstore are different prices.

Hope this helps
8 0
3 years ago
Read 2 more answers
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