Given: x + 3.8 > -10.02. Choose the solution set. a. {x | x ∈ R, x > -6.22} b. {x | x ∈ R, x > -10.40} c. {x | x ∈ R, x > -13.82}

Answers

Answer 1

Answer: $x+3.8 \ \textgreater \ -10.02 \nx\ \textgreater \ -10.02 - 3.8 \nx\ \textgreater \ -13.82 \n \n\{ x | x \in \mathbb{R}, x\ \textgreater \ -13.82 \}$

The answer is C.

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What is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and velocity of the toy car.

Answers

A correlation coefficient is a measure of the strength of dependence and correlation of a set of data. It shows how good is the fitted model to the data. It will have values ranging from -1.0 - 1.0. Having a coefficient that is the lower or the upper limit will tell you that the model best fit the data and a good correlation. However, as it goes farther from the limits then the correlation is to be a bad one.

PLEASE HELP!!!!!
i know my equation is y=2x+5

what graph is it?

Answers

Answer: D

Step-by-step explanation:

Since the line is y = 2x + 5

We know that one point is the y-intercept (0, 5)

If we plug in another point into the equation we should be able to determine the graph

when x = 4;

y = 2(4) + 5

y = 13

so another point is (4, 13)

D is the graph that has both the point (0, 5) and (4, 13)

(4,?) is on the line 8x – 3y = -10. Find the other half of the coordinate

Answers

(4, ?) is on 8x - 3y = -10

The ? is the missing y coordinate. (4, y) satisfies 8x - 3y = -10

8x - 3y = -10. From point (4, y), we would replace x = 4 in the equation below. y remains the unknown.

8*4 - 3y = -10

32 - 3y = -10

-3y = -10 - 32

-3y = - 42

y = -42/-3

y = 14

We need to plug 4 in place of x into the equation of the line and find the y-value.

8x - 3y = -10
8(4) - 3y = -10
32 - 3y = -10

Add 3y on both sides.

32 = -10 + 3y

Add 10 on both sides.

42 = 3y

Divide 3 on both sides.

y = 14

The point is (4, 14).

An animal shelter spends $1.50 per day to care for each bird and $8.50 per day to care for each cat. Alexander noticed that the shelter spent $108.00 caring for birds and cats on Tuesday. Alexander found a record showing that there were a total of 30 birds and cats on Tuesday. How many birds were at the shelter on Tuesday?

Answers

Answer:

21 birds.

Step-by-step explanation:

Let B represent the number of birds and C represent the number of cats.

We have been given that an animal shelter spends $1.50 per day to care for each bird, so the amount spent on B birds will be 1.50B.

The animal shelter spends $8.50 per day to care for each cat, so the amount spent on C cats will be 8.50C.

Alexander noticed that the shelter spent $108.00 caring for birds and cats on Tuesday. We can represent this information in an equation as:

$1.50B+8.50C=108...(1)$

Alexander found a record showing that there were a total of 30 birds and cats on Tuesday. We can represent this information in an equation as:

$B+C=30...(2)$

We will use substitution method to solve system of linear equations.

From equation (2) we will get,

$C=30-B$

Substituting this value in equation (1) we will get,

$1.50B+8.50(30-B)=108$

$1.50B+255-8.50B=108$

$255-7B=108$

Let us subtract 255 from both sides of our equation.

$255-255+7C=108-255$

$-7B=-147$

Let us divide both sides of our equation by -7.

$(-7B)/(-7)=(-147)/(-7)$

$B=21$

Therefore, there were 21 birds at the shelter on Tuesday.

Factor the expression y2+6y-16

Answers

That would be (y+8) (y-2)

Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she sold 288 roses and 432 daisies?

Answers

Answer:

She will be paid $684

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