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2 years ago

What is the vertex of the graph of y = –x2? (–1, 0) (0, –1) (0, 0) (1, 1)

Mathematics

1 answer:

mestny [16]2 years ago

4 0

Answer:

The vertex is (0, 0).

Step-by-step explanation:

Check out the parent function: y = x^2. The graph is a parabola whose vertex is (0, 0) and which opens upward.

Then y = -x^2 is the same but opens downward. The vertex is (0, 0).

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Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho

OLEGan [10]

Answer:

pair of jeans = 21

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

Equation 1: 5x + 2y = 166

3 pair of jeans and 4 shirts for $164. This means:

2x + 4y = 164

Dividing both sides by 2, we get:

Equation 2: x + 2y = 82

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

4 0

2 years ago

What is the graph of y=4^x+3

Fudgin [204]

Answer:

Exponential

Step-by-step explanation:

Since the x is to the power of 4, a small increase in x is amplified when it becomes the output of y.

Edit: Here is a screenshot of the graph

6 0

2 years ago

Find the multiplicity of <br>2x^3+x^2-x

OLEGan [10]

Mulitpilicty is how many times a root repeats

factor
factor x first

x(2x^2+x-1)
using math
(x)(x+1)(2x-1)
no roots repeat

if it is equal to 0 then the roots are
0 multiplicty 1
-1 multiplicty 1
1/2 multiplicty 1

4 0

2 years ago

What whole numbers does the square root of 39 lie between

Oksi-84 [34.3K]

The square root of 39 is 6.245. It lies between the whole numbers 7and 8!

6 0

3 years ago

You are testing the claim that the mean GPA of night students is different from the mea GPA of day students. You sample 20 night

svetlana [45]

Answer:

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

Step-by-step explanation:

Here n= 20

Sample mean GPA = x`= 2.84

Standard mean GPA = u= 2.55

Standard deviation = s= 0.45.

Level of Significance.= ∝ = 0.01

The hypothesis are formulated as

H0: u1=u2 i.e the GPA of night students is same as the mean GPA of day students

against the claim

Ha: u1≠u2

i.e the GPA of night students is different from the mea GPA of day students

For two tailed test the critical value is z ≥ z∝/2= ± 2.58

The test statistic

Z= x`-u/s/√n

z= 2.84-2.55/0.45/√20

z= 0.1441

As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.

8 0

2 years ago