What is equal to 4 2/3 + 3 1/2

Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is (4 points)

lbvjy [14]

Answer:

0

Step-by-step explanation:

To find the slope, we use the formula

m= (y2-y1)/(x2-x1)

= (6-6)/(-2-4)

= 0/-6

=0

8 0

3 years ago

What are three equivalent ratios the fourth third

Ghella [55]

Three equivalent ratios are: 8/6, 12/9, 16/12

6 0

3 years ago

Problem #1: Mrs. Grape has 90 students. On her last test, 3/10 of these students earned an A. Of those students, 1/9 got a perfe

fredd [130]

Answer:

3 students got a perfect score.

Step-by-step explanation:

Total number of students in Mrs. Grape's class = 90

Number of students who earned an A = 3/10 of 90

= $\frac{3}{10}\times 90$

= 27 students

Out of 27 students the number of students who got perfect score

= $\frac{1}{9}\times 27$

= 3 students

3 students got a perfect score.

7 0

3 years ago

Is (x + 7) a factor of f(x) = x^3 − 3x^2 + 2^x − 8? Use either the remainder theorem or the factor theorem to explain your reaso

Natasha_Volkova [10]

Answer:

Not a factor

Step-by-step explanation:

We can use Factor Theorem to answer this question. According to this theorem, in order to find if (x - a) is a factor of a polynomial f(x), calculate f(a). If f(a) comes out to be equal to zero, this will mean that (x-a) is factor of f(x).

Here, the expression we have is (x + 7), so we need to find f(-7) in order to check if (x+7) is a factor of f(x) or not

$f(x)=x^{3}-3x^{2}+2x-8$

Substituting x = -7, we get:

$f(-7)=(-7)^{3}-3(-7)^{2}+2(-7)-8\\\\ f(-7)=-512$

Since f(-7) ≠ 0, (x + 7) is not a factor of the polynomial f(x)

4 0

3 years ago

Help me please i reallly need it

xxMikexx [17]

Answer:

a) A = 64(2s - 1)

b) A = 1,856 cm²

Step-by-step explanation:

Given the side of the frame, 8s, and that the border that frames the picture is 4 on either side = 8:

<h3>a) Find an expression for the area of the frame, in factored form. </h3>

A = area of the square frame

A₁ = Total area (including the picture inside the frame) = (8s)²

A₂ = Area of the picture inside the frame = 4 + 4 = (8s - 8)²

To find the area of the frame, subtract the area of the picture from the total area.

A = A₁ - A₂

A = (8s)² - (8s - 8)²

Perform the necessary exponential operations:

A = 64s²- (64s² - 64s - 64s + 64)

A = 64s²- (64s² - 128s + 64)

Distribute -1 into the parenthesis:

A = 64s²- 64s² + 128s - 64

Combine like terms:

A = 0 + 128s - 64

A = 128s - 64

Factor out 64:

A = 64(2s - 1)

The expression for the area of the frame in factored form is: A = 64(2s - 1).

<h3>b) Determine the area of the frame when s = 15cm</h3>

Using the same expression from part A:

A = 64(2s - 1)

Substitute s = 15 into the expression:

A = 64[2(15) - 1]

A = 64(30 - 1)

A = 64(29)

A = 1,856 cm²

Therefore, the area of the frame that has a side of 15 cm is: A = 1,856 cm²

6 0

3 years ago