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skelet666 [1.2K]
3 years ago
15

Write the equation of a Quadratic Function that has its vertex at (-3, 2) and goes through the point (-1, -2).​

Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Answer:

y = a {(x  - b)}^{2}  + c \\ vertrix  \:  \binom{b}{c}  =  \binom{ - 3}{2}   \\ point \:  \binom{ - 1}{ - 2}  \\  - 2 = a {(( - 1) - ( - 3))}^{2}  + 2 \\  - 4 = a4 \\  \therefore \: a =  - 1 \\ y =  - {(x   + 3)}^{2}  + 2 \\y =   -  {x}^{2}  - 6x - 9 + 2 \\ y =   -  {x}^{2}  - 6x - 7

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Find the measures of two complementary angles, ÐA and ÐB, if mÐA = (7x + 4)° and mÐB = (4x + 9)°. Measure of angle A = ... Measu
Westkost [7]

Answer:

The measure of angle A is 53 degrees

The measure of angle B is 37 degrees

Step-by-step explanation:

Here in this question, we are interested in calculating the measure of the two angle.

When how angles are complementary, it means the sum of both equals 90 degrees

mathematically ;

(7x + 4) + (4x + 9) = 90

7x + 4x + 4 + 9 = 90

11x + 13 = 90

11x = 90-13

11x = 77

x = 77/11 = 7

The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees

The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees

3 0
4 years ago
PLZ HELP!!! 20 POINTS!!!<br><br> 1. Solve the system of equations by graphing: x + y = 3
sveticcg [70]
First you need to fix the equation in order to graph.
x + y = 3
Subtract x from both sides.
y = -1x + 3
Now graph.
(Whenever there is a variable by itself there is always a 1 in front of it.)
There is a site called desmos that can help↓

6 0
4 years ago
Colins class had 15 girls and 12 boys. If there were 4 boys what would be an equivalent ratio of boys and girls?
Leni [432]

Answer:

there would be 5 girls, boys 1; girl 1.25

Step-by-step explanation:

there are 1.25 girls for every boy

8 0
3 years ago
Suppose a set of test scores is appproximately bell-shaped, with a mean of 68 and a range of 54. (a) The minimum test score is a
liberstina [14]

Answer:

a.) Minimum test score = 41

    Maximum test score = 95

b.)An approximate value of the standard deviation is 9.

Step-by-step explanation:

The given set of test scores is approximately bell shaped.

The mean of the test scores, \mu = 68

The range of the data set = 54.

a.) i.) Minimum test score  = \mu - \frac{range}{2}  = 68 - \frac{54}{2}  = 68 - 27 = 41

   ii.) The maximum test score = \mu + \frac{range}{2}  = 68 + \frac{54}{2}  = 68 + 27 = 95

b.) From the 68-95-99.7 rule, also known as the Empirical rule, tell us that an approximation of the range is 3 standard deviations either way from the mean. So from this rule we can say that the minimum can also be found from \mu - 3\sigma and the maximum can also be approximated as \mu + 3\sigma.

From the above we can say that the range can be written as

   3\sigma - (-3\sigma) = range

∴   6\sigma  = range

∴    \sigma  = \frac{range }{6}  = \frac{54}{6}  = 9

Therefore an approximate value of the standard deviation is 9.

7 0
3 years ago
= 3x +15 <br> = 4x-10<br><br> What is the value of x?
Viefleur [7K]

Answer:

3x+15= 4x-10

3x-4x= -10-15

-x= -25(minus will be cut on both sides)

so x= 25

7 0
3 years ago
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