The sum of two consecutive integers is -15. If
1 is added to the smaller integer and 2 is
subtracted from the larger integer, what is the
product of the two resulting integers?

PLEASE HELP AND EXPLAIN BECAUSE I DONT GET IT

15 POINTS

Answers

Answer 1
Answer:

-16

Step by Step Explanation:

-7 and -8 are consecutive integers.

-7+-8=-15

Add 1 to -7 and you get -6.

Subtract 2 from -8 and you get -10.

-10+-6=-16
Answer 2

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,

x + (x+1) = -15

2x + 1 = -15

2x = -16

x = -8

Thus, the smaller integer is -9 and the larger integer is -8.

Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.

Smaller Interger = -9 + 1 = -8

Larger Integer = -8 - 2 = -10

Further,  the product of the two resulting integers is,

Product = -8 × -10

             = 80

Hence, the product of the two resulting integers is 80.

Learn more about Multiplication:

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Related Questions

Which statement describes how to determine if a relation given in a table is a function?
A. If none of the output values are repeated, the relation is a function.
B. If none of the input values are repeated, the relation is a function.
C. If any of the input values are equal to the output values, the relation is a function.
D. If all the output values are paired with the same input value, the relation is a function.

Answers

Answer: B

Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.

Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.

However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.

Answer:

B. If none of the input values are repeated, the relation is a function.

Step-by-step explanation:

Just took test on edge 2020

2 - (7/8 - 3/4) /'s are fractions

Answers

Answer:

[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]

Answer:

Brainliest here!

Step-by-step explanation:

2- (7/8 -6/8) = 2-1/8

simplify = 1 7/8   or 15/8

Point (–1, –3) is mapped onto ________ when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)

Answers

Answer:

D (1,3)

Step-by-step explanation:

(x,y) → (-x, -y)

Mapping rule for 180-degree

1. Multiply the x-coordinate by -1

2. Multiply the y-coordinate by -1

3. Simplify

In the drawing below, Side B A is parallel to Side D E. Triangle ABC is similar to triangle DEC. 2 triangles. Sides A B and E D are parallel. Lines B E and A D intersect at point C. Which statement about the sides is true?

Answers

The statement that is true is very obvious it will be that d will intersect the point at which the statement will obviously be d because the rest make no sense

Answer:

(D) Side B A corresponds to Side E D.

Step-by-step explanation:

Took on Edge and got it correct

A distribution in which the mean, mode, and median are nearly equal is called a ___________
distribution

a. bimodal
b. flat
c.normal
d. skewed

Answers

Answer:

C) Normal distribution

Step-by-step explanation:

We are supposed to find A distribution in which the mean, mode, and median are nearly equal

A) bimodal

Bimodal distribution is a statistical pattern in which the frequencies of values in a sample have two distinct peaks, even though parts of the distribution may overlap.

B) Flat

A flat distribution can be said either to have no tails, or to have short tails.

C) Normal

A distribution in which the mean, mode, and median are nearly equal is called a normal distribution

D)Skewed

A left-skewed, negative distribution will have the mean to the left of the median.

A right-skewed distribution will have the mean to the right of the median.

Hence Option C is true

Answer:

its c on usatestprep

What is the solution to the system of equations?
2x - y = 7
y = 2x + 3

• (2, 3)
• (2.7)
• no solution
• infinite number of solutions

Answers

Answer:

no solution

Step-by-step explanation:

2x-y=7. value of y=2x+3

(insert the value of y in the first equation)

2x-(2x+3)=7

2x-2x=7-3

(2x-2x is non-existent thus the equation ends there)

Answer:

No Solution is the answer

Step-by-step explanation:

There is no way to solve this

HELP ME PLEASE! (25 POINTS!)

Destiny has $60 in a savings account that earns 3% interest, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?

Answers

Answer:

Step-by-step explanation:

$60 * 3% = $1.80

y = 1.80x + $60

12 * 2 = 24

24 = x

y = 1.80(24) + $60

y = $43.20 + $60

y = $103.20

subtract the difference of p and a from 3

Answers

Answer:

see below

Step-by-step explanation:

Translating this into math we get 3 - (p - a).

Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers

Answers

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

Here, we are required to express x² + 4x - 7 in the form (x+a)² - b and determine the values of a and b.

The values of a and b are 2 and 11 respectively.

By completing the square method;

a = (4/2) = 2.

Therefore, by expanding (x+a)² i.e (x+2)²

We therefore have; x² + 4x + 4

However, the question is given as x²+4x-7

Therefore, by comparison between;

x² + 4x + 4 and x²+4x-7; we have;

4 - b = -7, b = 7+4

Ultimately, b = 11

Read more:

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Figure 3:

1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total

1. 9
2. 12
3. 18

Answers

c) 18 because you could get 6 numbers with red, 6 numbers with brown and 6 numbers with yellow.

Answer:

9

Step-by-step explanation:

For the graph, locate the x-intercept and y-intercept.
x-intercept = -4, 4, -8, or 8
y-intercept = -4, 4, -8, or 8

Answers

x-intercept = -4
y-intercept = -8

Answer:

The x-intercept is at  

✔ (6, 0)

The y-intercept is at  

✔ (0,-2)

Step-by-step explanation:

this is for the second question of this problem

Which of the following relations is a function? A.{(0,2),(1,2),(2,2),(3,2)} B.{(2,0),(2,1),(2,2),(2,3)} C.{(3,5) ,(4,7),(5,9),(5,11)} D. {(4,5),(6,7),(8,9),(8,11)}

Answers

Answer:

A

Step-by-step explanation:

The x values have to be different in order for points not to be on the same vertical line. A function needs to pass the vertical line test.

A typical dove weighs 345g. A typical duck weighs 1.2kg. What is the difference, in grams, of the weights of a duck and a dove?

Answers

Answer:

855 grams

Step-by-step explanation:

First convert the 1.2kg into grams.

1.2kg=1200 grams.

Now we have equal units of measurement. We then subtract: 1200g-345g=855g

Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.

Answers

Answer:

no

Step-by-step explanation:

Answer:     I thinks its D if im wrong sorry

Step-by-step explanation:

Does (3, 3) make the equation y = x true?

Answers

Answer:

yes

Step-by-step explanation:

Substitute the points into the equation

y =x

3=3

This is true so (3,3) is a solution

You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$

Answers

Answer:

The amount of interest to be paid is $105

Step-by-step explanation:

To find how much interest that will be paid, we will follow the steps below;

Simple Interest = PRT / 100

where p is the principal,  R is the rate and T is the time  in years

from the question given

principal P = $1000

Rate R = 3.5  

and time T = 3

substitute the values into the formula above

Interest = $1000×3.5×3   / 100

              =$10×3.5×3

               =$105

Interest = $105

The amount of interest to be paid is $105

Answer: no sense

Step-by-step explanation:

Complete the equation of the line through (-8,-2)and (-4,6)
use exact number
y=................

Answers

Answer: y=2x+14

Step:

substitute into y=mx+b

m= slope

b = y-int.

Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line s where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Answers

Answer:

alternet interior angles i think?

Step-by-step explanation:

Angles between transversal of parallel lines are related by several angle theorems.

The theorem that supports r || s and transversal q is (b) alternate interior angles theorem

From the image of lines q, r and s (see attachment), we have the following highlights.

Angles 3 and 6; angles 4 and 5, are alternate interior angles, and they are congruent

The above means that:

Angles 2 and 7; angles 1 and 8, are also congruent

Hence, r || s and q is a transversal, because of the alternate interior angle theorem.

Read more about parallel lines and transversal at:

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Help please fast please

Answers

Answer:

<

Step-by-step explanation:

89835000000*10^-7 = 8983.5

8.9835*10^5= 898350

8983.5 < 898350

Answer:

<

Step-by-step explanation:

Simplify each of the numbers

89835000000 x 10^-7 = 8983.5

8.9835 x 10^5 = 89835

89835000000 x 10^-7 < 8.9835 x 10^5

Ericka is also in Mr. Whittaker’s science class and she recorded the variation in water level at a different part of the river. She observed that the water level there fell 2.2 millimeters per year over a period of 6.2 years

This data is compared to the average annual trend, which shows the water level rising 1.8 mm/year.

Which of the decimals in the problem should be represented as a negative rate?
Which two factors should Ericka multiply to find the total variation in water level?

Answers

Answer:

Which of the decimals in the problem should be represented as a negative rate?

2.2 mm/year

Which two factors should Ericka multiply to find the total variation in water level?

6.2 years and –2.2 mm/year

Step-by-step explanation:

2.2 is represented as a negative integer because the problem said the key word "fell."

You should multiply 6.2 and -2.2 because -2.2 is mm per year and it is going on for 6.2 years so you would multiply those together.

Answer:

2.2 mm/year        6.2 years and -2.2 mm/year

What is the product of -2.49 and 2.24?

Answers

Answer:

-5.5776

Step-by-step explanation:

-2.49 times 2.24 = -5.5776

Answer:

Hey!

Your answer is -5.5776!

Step-by-step explanation:

-2.49 times 2.24 = -5.5776

That is your solution!

HOPE THIS HELPS!!

Can you people help me please

Answers

The right answer is -2.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment


Matching mathematical terms and definitions

Answers

Piece of line with two endpoints = line segment

Two rays with common endpoint = angle

Piece of line with one endpoint = ray

All coplanar points equidistant from a given point = circle

----------

side note: you could use two lines or segments to construct an angle. You don't necessarily have to use two rays.

Can someone plzz help me on thiss!

Answers

Answer:

A

Step-by-step explanation:

because it goes up constantly by 12

please help me with 4 more questions ill give brainliest plesase!!

Answers

Answer:

(- 1, - 1 )

Step-by-step explanation:

Since the dilatation is centred at the origin, then multiply the coordinates of the original point by the scale factor, that is

(- 3, - 3 ) → ([tex]\frac{1}{3}[/tex] × - 3, [tex]\frac{1}{3}[/tex] × - 3 ) → (- 1, - 1 )

The ratios 3:9, 4:12, 5:15, and 6:18 are a pattern of equivalent ratios in the table below. A multiplication table. In the row labeled 1, the numbers 3, 4, 5, and 6 are highlighted. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Which is another ratio in this pattern?

Answers

Answer:

7 and 21

Step-by-step explanation:

the ratios are following a 1:3 pattern. basically, whichever number is in the first row, the second row will have it times 3. So, if you chose the number 7, 7x3=21, so 7 & 21 are other ratios in the pattern

Roger has 3.10 consisting of quarters dimes and nickles. The number of nickles was 3 less than the number of dimes. The number of dimes was 5 more than the number of quarters. How many coins of each type did he use?

Please help me, thank you very much!! <3

Answers

Answer:

5 dimes 2 nickels 10 quarters

Step-by-step explanation:

Let n = number of nickels

      d = number of dimes

      q = number of quarters

n = d - 3 (The number of nickles was 3 less than the number of dimes)

d= q - 5 (The number of dimes was 5 more than the number of quarters)

0.05n + 0.1d + 0.25q = 3.1

Use substitution:

n=q-8

0.05n + 0.1d + 0.25q = 3.1

0.05(q-8) + 0.1(q-5) + 0.25q = 3.1

0.05q-.4 + 0.1q -.5 +0.25q = 3.1

0.4q-0.9=3.1

0.4q=4

q = 10

n =q-8    n = 10-8     n=2

d=q - 5     d = 10-5     d = 5

Someone help me ASAP please

Answers

Answer:

Step-by-step explanation:

use a^2+b^2=c^2.

5^2+7^2=c^2

25+49=c^2

sqrt74= 8.6 so side c is about 8 units

Answer:

C. about 8 units

Step-by-step explanation:

correct answer is c

The last time Larissa checked her credit score, it was 760, and her only credit event since then has been applying for a store credit card. Which of these is most likely to be her credit score now? A. 770 B. 780 C. 750 D. 760

Answers

Answer:

750

Step-by-step explanation:

Applying for credit from any place pulls your credit report.  When your credit report is pulled, your score decreases some.  

However, this will not have a large effect on your score, so 750 would most likely be the new score.

Getting a store credit card affects the credit score a little bit, so the answer would likely be D.

please mark brainliest :)

which statement best describes the function below? \f(x)=2x^2-3x+1

Answers

Answer:

what are the two answers?

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