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lubasha [3.4K]
3 years ago
11

What is the y-value of the vertex of the function f(x) = –(x – 3)(x + 11)?

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0
Expand
f(x)=-1x^2-8x+33

x coordinate of vertex is -b/2a in the form ax^2+bx+c=y
a=-1
b=-8
-(-8)/2(-1)=8/-2=-4
plug back in to get y value

y=-(-4^2)-8(-4)+33
y=-16+32+33
y=49

y value is 49
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Which pair of numbers is relatively prime? A. 42 and 77 B. 34 and 55 C. 45 and 102 D. 99 and 123
leonid [27]

Two pair of numbers are said to be relatively prime if there is no integer greater than 1, that divides them both.

Consider the given pair of the numbers to identify which pair is relatively prime.

1. Consider 42 and 77

7 is the number which divides 42 and 77 both. Therefore, they are not relatively prime.

2. Consider 34 and 55

Since, there is no number greater than 1, which divides both the numbers. So, they are relatively prime numbers.

3. Consider 45 and 102

3 is the number divides 45 and 102 both. Therefore, they are not relatively prime.

4.  Consider 99 and 123

3 is the number divides 99 and 123 both. Therefore, they are not relatively prime.

Therefore, Option B is the correct answer.

8 0
3 years ago
Rectangle
Viefleur [7K]

Answer:

  21 square units

Step-by-step explanation:

The sides of the rectangle are aligned with the coordinate grid, so we can easily find its dimensions.

AB lies on the line y = -2, so the horizontal extent is the difference in x-values:

  6 - 3 = 3

BC lies on the line x = 6, so the vertical extent is the difference in y-values:

  5 -(-2) = 7

The area is the product of these two dimensions:

  A = LW = (7)(3) = 21 . . . . square units

The area of the rectangle is 21 square units.

3 0
2 years ago
Read 2 more answers
Each lap around the track is 400 meters. How many meters does someone run if they runs if Noah ran 14 laps, how many meters did
sashaice [31]
Question 1: You just do 400 x 14, and the answer is 5,600.
Question 2: You divide 7,600 by 400, and the answer is 19.
7 0
2 years ago
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(3×10^​2 ​​ )×(2×10^​−4 ​​ )= ​​
Alik [6]

Answer:

Step-by-step explanation:

First, lets simplify everything in the parenthesis.

(3×10^​2 ​​ )×(2×10^​−4 ​​ )= ​​

In the parenthesis, since exponents come before multiplication in the order of operations, we need to do the exponents first.

(3 • 100) • (2 • 1/10^4)

Now, we can just multiply everything from left to right to get:

6*10^-2

Or

.06

6 0
2 years ago
Which figures will have a volume that is greater than 100 cubic units? Select two options.
andrey2020 [161]
I think that it is b. A rectangular prism with dimensions of 2 by 12
4 0
3 years ago
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