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3 years ago

9

Graph the parabola. y= - 5over2 X^2 -20x -35 plot the vertex and four additional points, two on each side of the vertex. Then cl

ick on the graph icon. I need the plots

1 answer:

stich3 [128]3 years ago

8 0

Wheres the graph ;/ or an link or image

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Set g is the set of positive integers divisible by 4, and set f is the set of perfect squares. list the first 5 elements of set

stepladder [879]

The first 5 elements of set H, which contains numbers in G that are also elements of F are {4, 16, 36, 64, 100}.

<h3>What is intersection of sets?</h3>

The intersection of two sets has been the set that includes each of the elements which are shared by both sets.

The symbol for set intersection is "∩''. The intersection, A ∩ B (read as A intersecting B) lists all the items that really are present in both sets and constitute the common elements of A and B for any two sets A and B.

Now, according to the question;

Set G is the set of positive integers divisible by 4, and

Set F is the set of perfect squares;

Then,

G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}

F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}

So, by the intersection of the sets;

G ∩ F - a intersection of the two sets, that is, what numbers are present in both sets at the same time.

G ∩ F = {4; 16; 36; 64; 100}

Therefore, The first 5 elements of set H, which have the same numbers in G as elements of F are {4, 16, 36, 64, 100}.

To know more about the intersection of sets, here

brainly.com/question/11439924

#SPJ4

8 0

2 years ago

The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana should be made legal. If we w

Sati [7]

Answer:

The sample size is $n = 600$

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 0.48$

The margin of error is $MOE = 0.04$

Given that the confidence level is 95% the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the values is

$Z_{\frac{\alpha }{2} } = 1.96$

The reason we are obtaining critical value of $\frac{\alpha }{2}$ instead of $\alpha$ is because

$\alpha$ represents the area under the normal curve where the confidence level interval ( $1-\alpha$ ) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$ is just the area of one tail which what we required to calculate the margin of error

Generally the margin of error is mathematically represented as

$MOE = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p(1- \r p )}{n} }$

substituting values

$0.04= 1.96* \sqrt{ \frac{0.48(1- 0.48 )}{n} }$

$0.02041 = \sqrt{ \frac{0.48(52 )}{n} }$

$0.02041 = \sqrt{ \frac{ 0.2496}{n} }$

$0.02041^2 = \frac{ 0.2496}{n}$

$0.0004166 = \frac{ 0.2496}{n}$

=> $n = 600$

5 0

4 years ago

The equation p = 1.95t^2 + 12.25t + 125 approximates the average sale price p of a house (in thousands of dollars) for years t s

kumpel [21]

Answer:

$496, 000

Step-by-step explanation:

2021 is 11 years since 2010, hence t = 11

Substitute t = 11 into the equation

p = (1.95 × 11²) + (12.25 × 11) + 125

= 235.95 + 134.75 + 125

= 495.7 ( thousands of dollars ), thus the best estimate is

p = $ 496, 000

3 0

3 years ago

Solve the system of equations given below.

eduard

Answer:

The system of this equation is ( -1, 10) which is Option A.

Step-by-step explanation:

Solve for y in the first equation.

$y = - 5x + 5 \\ - 2y = - x - 21$

Replace all occurrences of yy with -5x+5 in each equation.

$10x - 10 = - x - 21 \\ y = - 5x + 5$

Solve for x in the first equation.

$x = - 1 \\ y = - 5x + 5$

Replace all occurrences of x with -1 in each equation.

$y = 10 \\ x = - 1$

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>system</u><u> </u><u>of</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>(</u><u>-1</u><u>,</u><u> </u><u>10</u><u>)</u><u>.</u><u> </u>

<u>Option</u><u> </u><u>A</u><u>.</u>

5 0

3 years ago

What is 6(-3a + 12) + 8a - 13a

Shtirlitz [24]

It is 23a+72
see
6(-3a+12)+8a-13a
-18a+72+8a-13a
23a+72
do you understand

5 0

3 years ago

Read 2 more answers