One integer is 8 less than another integer. The product of the lesser integer and -5 is 28 more than the greater integer. What are the integers?

Answers

Answer 1

Let the lesser integer be "x".

So, the greater integer will be "x + 8".

Given,

Product of lesser and "-5" is 28 MORE THAN greater.

We can write the equation as:

[tex]x\times-5=(x+8)+28[/tex]

We can simplify this equation and solve for x. The steps are shown below:

[tex]\begin{gathered} x\times-5=(x+8)+28 \\ -5x=x+36 \\ -5x-x=36 \\ -6x=36 \\ x=\frac{36}{-6} \\ x=-6 \end{gathered}[/tex]

Less integer (x) is -6, and

Greater integer (x+8) is -6 + 8 = 2

Answer

-6 and 2


Related Questions

Please help I need this for a text ASAP.

Answers

The values of x and y are 45 and 8.

What is a Linear Pair of Angles?

When two lines meet at a single point, a pair of linear angles is created. If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.

Given:

Measures of two linear pairs of angles which are of equal measures are 2x and 11y + 2.

As the sum of linear pair of angles is 180°, and if they are of equal measures, each angle must be equal to 90°.

To determine the values of x and y we equate the given angles to 90°.

2x = 90°

⇒ x = 45

And 11y+2 = 90°

⇒ 11y = 90-2 = 88

⇒ y = 8

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Use the given information in the figure to determine whether or not BD || AE.

Answers

Let the lines BD || AE

So, the triangle ACE is similar to triangle BCD

Then from the properties of similar triangle

The ratio of corresponding sides are always equal:

[tex]\frac{BC}{AC}=\frac{CD}{CE}=\frac{EA}{DB}[/tex]

Substitute the value :

[tex]\begin{gathered} \frac{BC}{AC}=\frac{CD}{CE}=\frac{EA}{DB} \\ \frac{9}{9+6}=\frac{11}{11+3}=\frac{EA}{DB} \\ \frac{9}{12}=\frac{11}{14}=\frac{EA}{DB} \\ \text{ Since the ratio are not equal} \end{gathered}[/tex]

So, the triangles are not similar thus, the lines BD is not parallel to AE

Answer : D

5.Find the equation ofthe line:through: (0, -3) and (-1,-5)

Answers

first, we will find the slope

[tex]m=\frac{-5-(-3)}{-1-0}=\frac{-5+3}{-1}=\frac{-2}{-1}=2[/tex]

so, the slope is m = 2

now the equation of the line is

[tex]\begin{gathered} y-(-3)=m(x-0) \\ y+3=2x \\ y=2x-3 \end{gathered}[/tex]

so, the equation of the line is y = 2x -3

Question 4 of 9Which of the following is the quotient of the rational expressions shownbelow?3x + 2X +52x - 1

Answers

SOLUTION

From

[tex]\begin{gathered} \frac{4x}{2x-1}\text{ divided by }\frac{3x+2}{x+5} \\ \\ \frac{4x}{2x-1}\times\frac{x+5}{3x+2} \\ \\ \frac{4x^2+20x}{6x^2+4x-3x-2} \\ \\ \frac{4x^2+20x}{6x^2+x-2} \end{gathered}[/tex]

The quotient is the answer gotten after a division is made. Therefore, the answer above is the quotient. Option C is the correct answer

a pirate keeps 2/3 of his coins in a treasure chest and distributes the rest equally among three crew members. if each crew member receives 25 coins, how many coins did the pirate keep

Answers

ANSWER:

150 coins

STEP-BY-STEP EXPLANATION:

We know that of the total that the pirate initially had 2/3 I keep them in a chest and the rest he distributed, the rest corresponds to 1/3 of the total.

Now, if each one received 25 coins, and 3 three members, it means that 1/3 is equivalent to 3 times 25 coins, that is, 75 coins.

Now, if 1/3 is 75 coins, 2/3 proportionally would be:

[tex]\begin{gathered} \frac{75}{\frac{1}{3}}=\frac{x}{\frac{2}{3}} \\ \text{ solving for x} \\ 225=\frac{3x}{2} \\ x=\frac{225}{3}\cdot2 \\ x=150 \end{gathered}[/tex]

Which means that the pirate kept 150 coins in the chest

One angle of an isosceles triangle measures 42°. what measures are possible for the other two angles? choose all that apply.

Answers

The measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

What is an isosceles triangle ?

An isosceles triangle is a triangle which has two equal sides and two equal angles.

It is given that the first angle of an isosceles triangle is 42°. In a triangle sum of all angles is equal to 180°.

We know that in an isosceles triangle the measure of two angles and two sides are equal.

The measure of first angle is 42°. Let's assume the measure of second angle is x this meant the measure of third angle will be x too.

∵ Sum of three angles of a triangle = 180°

∴ 42 ° + ( x + x ) = 180°

or

42 ° + ( 2x ) = 180°

2x = 180° - 42°

2x = 138°

or

x = 69°

As measure of both unknown angles is same , so second angle and third angle will have a measure of 69° each.

Therefore , the measure of second angle and third angle of the isosceles triangle will be equal to 69° each.

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Convert 7/8, 1/2 and 7/9 to equivalent fractions with denominator 72 their LCD

Answers

Answer:

63/72

36/72

56/72

Step-by-step explanation:

7/8

The denominator has to be 72. So, we find a factor of 72 with 8. it is 9.

7*9= 63

8*9= 72

63/72

For 1/2:

1*36=36

2*36=72

36/72

For 7/9:

7*8=56

9*8=72

56/72

Jill is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 9 cm and the height of the pyramid is 10 cm. To get the wax for the candle, she melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will she need in order to make the candle? Show your work.

Answers

Step 1:

First, write the formula and find the volume of the pyramid of height 10cm and base sides 9cm.

[tex]\text{Volume of a pyramid = }\frac{1}{3}\text{ base area }\times\text{ height}[/tex]

Step 2:

Find the base area

[tex]\begin{gathered} \text{The base is a square of length L = 9}cm \\ \text{Base area = Area of a square = L}^2 \\ \text{Base area = 9}^2 \\ \text{Base area = 81 }cm^2 \end{gathered}[/tex]

Step 3:

Find the volume of the pyramid.

[tex]\begin{gathered} \text{Volume of the pyramid = }\frac{1}{3}\times\text{ base area }\times\text{ height} \\ \text{Volume of the pyramid = }\frac{1}{3}\text{ }\times\text{ 81 }\times\text{ 10} \\ \text{Volume of the pyramid = }\frac{810}{3}\text{ = 270 }cm^3 \end{gathered}[/tex]

Step 4:

Find the volume of a cube of a candle wax of sides 4cm by 4cm by 4cm.

[tex]\begin{gathered} \text{Volume of a cube of side L = 4}cm\text{ is } \\ \text{Volume of a cube = 4 }\times\text{ 4 }\times\text{ 4} \\ \text{Volume of a cube = 64 }cm^3 \end{gathered}[/tex]

Step 5

To find the number of wax cubes she will need in order to make the candle

You will divide the volume of the pyramid by the volume of the cube.

The number of wax cubes she will need in order to make the candle

[tex]\begin{gathered} =\text{ }\frac{270}{64} \\ =\text{ 4.21875} \\ =\text{ 5} \end{gathered}[/tex]

Final answer

5 wax cubes

Sarah used 3.5 cups of cheese in a dish that serves 10 people. What constant of proportionality relates the number of servings to cups of cheese?

Group of answer choices

0.35

0.05

0.5

0.25

Answers

Hii there your answer will be..

B. 0.05

pls mark brainleist
0.35pos marketing en las empresas

I was wondering if u could help me out with this question.

Answers

we will first change the hours for minutes

Danna

[tex]\frac{3}{10}\text{hours}\longrightarrow18\text{minutes}[/tex]

Steven

[tex]\frac{1}{6}\text{hours}\longrightarrow10\text{minutes}[/tex]

so, the new information is

Danna read 1/4 of the book in 18 minutes

Steven read 1/5 of the book in 10 minutes

now we express the time in a single minute and on pages of book

For Danna we divide all the ralation between 18

so

[tex]\begin{gathered} \frac{\frac{1}{4}}{18}book\longrightarrow\frac{18}{18}\text{minutes} \\ \\ \frac{1}{72}book\longrightarrow1\text{minute} \\ \\ \frac{1}{72}\times60\text{pages}\longrightarrow1\text{minute} \\ \\ 0.83\text{ pages}\longrightarrow1minute \end{gathered}[/tex]

For steven we divide all the relation between 10

so

[tex]\begin{gathered} \frac{\frac{1}{5}}{10}\text{book}\longrightarrow\frac{10}{10}\text{minutes} \\ \\ \frac{1}{50}\text{book}\longrightarrow1\text{minute} \\ \\ \frac{1}{50}\times60\text{pages}\longrightarrow1\text{minute} \\ \\ 1.2pages\longrightarrow1minute \end{gathered}[/tex]

we can conclude that steven reads more pages per minute than Dana because he she reads 0.83 pages per minute and steven 1.2 pages per minute

so the right statement is option B

Could anyone help me on this geometry question

Answers

Using the properties of parallel lines, The value of Y is 6.

The parallel lines are what?

In a given three-dimensional space, any parallel planes are those that never cross. A line that crosses two or more other lines is said to be transversal. Two distinct angles are created when a line crosses two parallel lines.

According to the listed characteristics of parallel lines, these various forms of angles are used to demonstrate if two lines are parallel to one another.

Given,

Lines l and m must be parallel for the assertion to be true.

4x =(11x-8) - 90 (linear angle

11x - 4x = 98

7x = 98

x = 14

4x = 9y+2

4(14) = 9y + 2

56 - 2 = 9y

y = 6

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HI PLEASE HELP AND SHOW WORK 15 POINTS

Answers

The vertices of the hyperbola are (±2√3, 0), foci of the hyperbola are (±2√7, 0) and asymptotes are y = 2x/√3 and y = -2x/√3

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have an equation for the hyperbola:

[tex]16x^{2} - 12y^{2} = 192[/tex]

dividing each term by 192

[tex]\frac{x^{2} }{12} + \frac{y^{2} }{16} = 1[/tex]

[tex](\frac{x}{2\sqrt{3} } )^{2} + \frac{y^{2} }{4^{2} } = 1[/tex]

Here h = 0, k = 0, a = 2√3, and b = 4

c = √((2√3)²+4²) = 2√7

The first vertex is:

(h-a, k)

= (0 - 2√3, 0) = (-2√3, 0)

The second vertex is:

(h + a, k)

= (0 + 2√3, 0) = (2√3, 0)

The first focus is:

(h - c, k)

= (0 - 2√7, 0) = (-2√7, 0)

The second focus is:

(h + c, k)

= (0 + 2√7, 0) = (2√7, 0)

The asymptote is:

y = ± b/a(h - x) + k

y = [tex]\frac{2x}{\sqrt{3} }[/tex]

Thus, The vertices of the hyperbola are (±2√3, 0), foci of the hyperbola are (±2√7, 0) and asymptotes are y = 2x/√3 and y = -2x/√3

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Determine which solution is correct for solving - y = 6 using reciprocals. 5 7 Y=6 5 7 y 5 30 7 5 - (윽) (6) y = ○ 5 7y=6 5 y-23 y= 5 -6- 7 5 5 74= 6 7 5 y = 5 42 5 y = (3) (6) 5 74=6 (7) 5 5 y=6 y=6​

Answers

The correct answer for the reciprocal y = 42/5

What is Reciprocal?

The multiplicative reciprocal or reciprocal of a number x, denoted 1/x or x⁻¹, is the number that, when multiplied by x, gives a multiplicative identity element of 1. The multiplicative inverse of the fraction a/b is b/a. For the multiplicative reciprocal of a real number, divide 1 by the number.

Given,

5/7 y = 6

The reciprocal of 5/7 will be 7/5

Then,

Multiplying both side by 7/5, we get

(7/5)(5/7)y = (7/5)6

y = 42/5

Hence, y = 42/5 is the right answer

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A genetic experiment with peas resulted in one sample of all springs that consisted of 414 green peas

Answers

Given

Confidence level = 90% = 0.90

green peas = 414

yellow peas = 155

Find

Estimate of the percentage of yellow peas.

Explanation

Confidence level = 90% = 0.90

number of successes = 155

sample size = 414 + 155 = 569

so ,

[tex]\hat{p}=\frac{x}{n}=\frac{155}{569}\approx0.2724[/tex]

for confidence level ,

[tex]1-\alpha=1-0.90=0.10[/tex]

so ,

[tex]z_{\frac{\alpha}{2}}=1.645[/tex]

margin of error =

[tex]\begin{gathered} E=z_{\frac{\alpha}{2}}(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}) \\ \\ E=1.645\times\sqrt{\frac{0.2724(1-0.2724)}{569}} \\ \\ E=1.645\times\sqrt{0.00034832731} \\ \\ E=0.03070150499\approx0.0307 \end{gathered}[/tex]

boundaries of the confidence level are

[tex]\begin{gathered} \hat{p}-E=0.2724-0.0307=0.2417=24.17\% \\ \hat{p}-E=0.2724+0.0307=0.3031=30.31\% \end{gathered}[/tex]

Final Answer

Hence , the estimate of the percentage of yellow peas is between 0.242 and 0.303

Find the values of x and y. please help <3

Answers

Answer:

x = 16

y = 17

Step-by-step explanation:

7x + 52 + x = 180 = (x = 16)

7(16) + 4y = 180 = ( y = 17)

Solve: 9(x-9) + 8 = -19

Answers

we have the equation

[tex]9\left(x-9\right)+8=-19[/tex]

Solve for x

step 1

Apply distributive property on the left side

[tex]\begin{gathered} 9\left(x)-9(9\right)+8=-19 \\ 9x-81+8=-19 \end{gathered}[/tex]

Combine similar terms on the left side

[tex]9x-73=-19[/tex]

step 2

Adds 73 on both sides

[tex]\begin{gathered} 9x-73+73=-19+73 \\ simplify \\ 9x=54 \end{gathered}[/tex]

step 3

Divide both sides by 9

[tex]\begin{gathered} \frac{9x}{9}=\frac{54}{9} \\ \\ x=6 \end{gathered}[/tex]The answer is x=6
The answer is X=6
We do that by isolating the variable by dividing each side by factors without the variable in this case X.

A vehide factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made. If u cars are made, then theunit cost is given by the function C(x)=1.1x^2638x+103,259. What is the minimum unit cost?Do not round your answer.

Answers

The cost function is given as,

[tex]C(x)=1.1x^2-638x+103259[/tex]

Obtain the first derivative as,

[tex]C^{\prime}(x)=1.1(2x)-638(1)=2.2x-638[/tex]

Obtain the critical points by equating the first derivative to zero,

[tex]C^{\prime}(x)=0\Rightarrow2.2x-638=0\Rightarrow2.2x=638\Rightarrow x=290[/tex]

Thus, the Cost function has an extrema at point 290.

Apply the second derivative test,

[tex]C^{\doubleprime}(x)=\frac{d \square}{dx}(2.2x-638)=2.2[/tex]

Since the second derivative is positive, the function attains minimum value at the critical point.

Therefore, it is concluded that the cost is minimum at 290.

Substitute the value in the function to obtain the minimum cost,

[tex]C_{\min }=C(290)=1.1(290)^2-638(290)+103259=10749[/tex]

Thus, the minimum unit cost is $10749 which corresponds to 290 units of cars.

In the following figure (AB) (CD) Suppose that m∡3=52°. What is the measure of ∡5? Explain your reasoning I NEED FULL DETAIL

Answers

Answer:

m∠5 = 52°

Step-by-step explanation:

Given

AB ║ CD and m∠3 = 52°

From the diagram we see that ∠3 and ∠5 are alternate interior angles, since located on opposite sides of the transversal.

As per definition, alternate interior angles are congruent and therefore:

∠5 ≅ ∠3, som∠5 = m∠3 = 52°

Answer:

m∠5 = 52°

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

As line AB is parallel to line CD, angles 3 and 5 are alternate interior angles, and are therefore congruent according to the Alternate Interior Angles Theorem.

⇒ m∠5 = m∠3 = 52°

Use the Distributive Property to factor: 3x2 + 3x + 9

Answers

Solution:

Consider the following expression:

[tex]3x^2+3x+9[/tex]

Applying the distributive property, we get:

[tex]3(x^2+x+3)[/tex]

Note that the term on the right is irreducible. Then, the correct answer is:

[tex]3(x^2+x+3)[/tex]

Two thirds of a number is 4

Answers

Answer:

(2/3)x +4 = 1

(2/3)x = -3

x = -3 *3/2 = -9/2

Step-by-step explanation:

your welcome <3

A rocket is launched and the quadratic function h(t) = -5t^2+165t relates the height (h) in meters to seconds (t) after launch. When will the rocket be 450 feet above the ground? (Hint...twice!!!) - this is solved by factoring

Answers

h(t) = -5t^2+165t

We need to set this equation to 450

450 = -5t^2+165t

Subtract 450 from each side

450-450 = -5t^2+165t-450

0 = -5t^2+165t-450

Divide each side by -5

0 = t^2 - 33t+ 90

Now factor the right hand side

0 = ( t-3) (t-30)

Using the zero product property

t-3 =0 t-30 =0

t =3 t=30

t=3 is when it =450 on the way up

t=30 is when it = 450 on the way down

The area of Canada is 17 times the area
of France.
The area of Canada is 3,851,809 square
miles.
What is the area of France?

plsss help

Answers

Answer:

A(Canada) / factor = A(France)

3,851,809/17 = A(France)

226,577 sqmi = A(France)

Hope that helps

NOTE: This answer is a bit off from the actual calculation but it is fine because the original value of Canada's area was given about 5,000 sqmi off.

Susie receives an employee discount of 8% on all items purchased in the retail store where she works. If she purchases two blouses at $24.99 each and three skirts for $48.00, how much was her bill, including a 7% tax?A. $190.95B. $189.96C. $190.96

Answers

First, let's calculate the total price without discount or taxes:

[tex]\begin{gathered} C=2\cdot24.99+3\cdot48\\ \\ C=193.98 \end{gathered}[/tex]

Now, to apply a discount of 8%, we can multiply the cost by 92%, that is, 0.92:

[tex]\begin{gathered} C^{\prime}=0.92C\\ \\ C^{\prime}=0.92\cdot193.98\\ \\ C^{\prime}=178.46 \end{gathered}[/tex]

And then, to apply a tax of 7%, we can multiply the cost by 107%, that is, 1.07:

[tex]\begin{gathered} C_{final}=1.07C^{\prime}\\ \\ C_{final}=1.07\cdot178.46\\ \\ C_{final}=190.95 \end{gathered}[/tex]

Therefore the correct option is A.

View question below. Write your answer as a decimal(not a percentage)

Answers

Solution

We draw a venn diagram to illustrate the information

Without the loss of generality

From the question we have that

[tex]\begin{gathered} n(C\cup Ch)=78 \\ \\ 58-x+x+57-x=78 \\ \\ 115-x=78 \\ \\ x=115-78 \\ \\ x=37 \end{gathered}[/tex]

Therefore, the probability that a chosen customer carries both cash and checks is

[tex]\begin{gathered} p=\frac{37}{100} \\ \\ p=0.37 \end{gathered}[/tex]

The answer is

[tex]0.37[/tex]

there were 943 tornadoes in 2013 and 897 in 2014. what% decrease was that using 2 decimal places?

Answers

decrease in tornadoes = 943-897 = 46

% decrease in tornadoes = (decrease in tornadoes) / (initial amount of tornadoes) x 100%

[tex]\begin{gathered} \frac{46}{943}\text{ }\times\text{ 100 = }\frac{460}{943}\text{ = 4.87805} \\ \approx\text{ 4.88 ( 2 decimal places )} \end{gathered}[/tex]

There are between 50 and 100 books on a shelf. Exactly 20% of them are textbooks. Exactly 1/7 of them are novels. How many books are on the shelf?

Answers

There are 70 books on the shelf

How to determine the number of books on the shelf?

The given parameters are

Textbook = 20% = 1/5

Novel = 1/7

Let the number of books on the shelf be x

This means that

Textbook = 1/5 * x

Novel = 1/7 * x

The above means that:

The number of books is a multiple of 7 and 5

This is so because the number of books must be whole number

The multiples of 5 and 7 between 50 and 100 is 70

Hence, the number of books is 70

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help me please


thank you

Answers

If the ordered pair (x,y) is in the relation and the object x is from the first set and the object y is from the second set, the objects are said to be related. A relation is a type of function.

For The Realation { X | X < -4}
The Graph a is correct solution

In interval notation ( - ∞ , -4 ).

What is the definition of relation ? A relation between two sets is a collection of ordered pairs that each contain one object from the other set. If the ordered pair (x,y) is in the relation and the object x is from the first set and the object y is from the second set, the objects are said to be related. A relation is a type of function.The distinction between a relation and a function is that a relationship can have multiple outputs for a single input, whereas a function only has one input and one output. This is the fundamental distinction between relation and function. Relations are used to form those model concepts.

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PLEASE HELP!! If m4=35 find m2

Answers

[tex]m < 4 = m < 2[/tex]

(The angles mentioned above are alternative angles since AB || CD)

[tex]m < 2 = m < 4 \\ m < 2 = 35[/tex]

OPTION D IS THE ANSWER.

Answer:

D is correct

Step-by-step explanation:

Angles 2 and 4 are alternate interior angles. Because angle 2 is 35 degrees, a line travels through two parallel lines to form that angle, likewise for angle 2, except for that it is alternate interior. Hope this helps.

World class marathon runners are known to run that distance (26.2 miles) in an average of 143 minutes with a standard deviation of 13 minutes.If we sampled a group of world class runners from a particular race, find the probability of the following:**(use 4 decimal places)**a.) The probability that one runner chosen at random finishes the race in less than 137 minutes. b.) The probability that 10 runners chosen at random have an average finish time of less than 137 minutes. c.) The probability that 50 runners chosen at random have an average finish time of less than 137 minutes.

Answers

EXPLANATION

We have μ = 144 and sd = 13

Computing the needed probabilities:

a) P(x < 137 ) =

[tex]=P(\frac{X-\mu}{\sigma}<\frac{137-\mu}{\sigma})[/tex][tex]=P({Z}\lt\frac{137-143}{13})[/tex][tex]=P(z<-0.4615[/tex][tex]=0.3228[/tex]

a) The probability is 0.3228

b) Number of runners ---> n=10

P(x < 137 ) =

[tex]=P(\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}<\frac{137-\mu}{\frac{\sigma}{\sqrt{n}}})[/tex][tex]=P({Z}\lt\frac{137-143}{\frac{13}{\sqrt{10}}})[/tex][tex]=P(z<-1.4595)[/tex][tex]=0.0735[/tex]

b) The probability is 0.0735

c) Number of runners ---> n=50

P(x < 137 ) =

[tex]=P(\frac{X-\mu}{\frac{\sigma}{\sqrt{n}}}<\frac{137-\mu}{\frac{\sigma}{\sqrt{n}}})[/tex][tex]=P({Z}\lt\frac{137-143}{\frac{13}{\sqrt{50}}})[/tex][tex]=P(z<-3.2635)[/tex][tex]\approx0.0006[/tex]

b) The probability is approximately 0.0006

2 (02.05)John bought 15 cookies and ate 3 of them. He ate% of the cookies. (Makpoints)3. (02.05)had $125 to spend at the ma. She spent

Answers

You have the following information:

- John bought 15 cookies

- John ate 3 of the 15 cookies

In order to calculate the percentage associated to the 3 cookies John ate, respect to the total cookies, you proceed as follow:

[tex]\frac{3}{15}(100)=\frac{300}{15}=20[/tex]

Hence, John ate 30% of the total number of cookies.

Other Questions
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounces of sugar, how many ounces of flour would you need to use? Solve by using equivalent fractions. Was Messina Italy tsunami predicted? Which of these is most important to include in a summaryof this article?A. Archaeologists discovered ancient beehives nearthe ruins of Rehov.B. The city of Rehov was an important city in Israel3,000 years ago.C. Archaeologists have been excavating an area nearRehov since 1997.D. The newly discovered beehives have a small holeat each end. a system of ideals and ideas forming the basis for political theory and policy is . senior management at value products is attending a corporate retreat, and the first item for discussion is corporate social responsibility (csr). the group has discussed this before and then shot it down because it generally costs value products shareholders in the form of reduced distributions. but the new vp, isabella, is about to explain why she believes csr will actually benefit the shareholders and value products management alike. her team begins the presentation with a discussion of csr, both its current definition and reconciliation of past views. jessica then discusses the importance of being a good global corporate citizen by supporting the local school system. valentina takes the floor to make the case for doing what is expected by global stakeholders even though there are no laws requiring those actions. finally, scott wraps up the discussion by defining why value products should take legal responsibility for the firms performance. For the function f(x) = -2(x + 3)2 - 1, identify the vertex, domain, and range. (2 points) In order to find the average rate (speed) of a car travelling on a highway, the distance traveled is divided by the time: R=. If the distance is D= 25 miles and the time is T 5a+10 +7+10 hours, find a simplified expression for the average rate of the car. what is the equation is x+9 Determine whether the given function is even, odd, or neither f(x)=2x+x^3 rico is quite relaxed with his caregivers and is able to interact with strangers quite well. this is best explained by which form attachment? Please help me with this!! Identify the zeros and state their multiplicities describe the effect on the graph #7 e for y. 2r + 14y < 21 a major criticism of the articles of confederation was that to mich power had been give to the ? help meeeeeeeeeeeeeeeeeeeeeeethank you Where can I Get L1 and L4 from a missing vertical angles? A table of values of a linear function is shown below When reading an inch micrometer, one full revolution of the barrel measures 0.025 inches.OTrue or False what can you conclude about how frequency and wavelength are related to the colors of light, based on the data you gathered in the virtual lab? predict how the energy of two light waves that have the same amplitude, but different colors, will compare with each other. find the product 16 60