find 2 consecutive integers whose sum is -97

Answers

Answer 1

Answer:

The first integer is: -49

The second integer: -49+1 = -48

Solution Check:

-49+(-48) = -97

Step-by-step explanation:

Let the first integer: [tex]x[/tex]

As we are looking for a consecutive integer, so

The second integer would be: [tex]x+1[/tex]

We know the sum of these two integers is -97. Thus, we can write this equation and solve for 'x'.

[tex]x+\left(x+1\right)=-97[/tex]

[tex]x+x+1=-97[/tex]

[tex]2x+1=-97[/tex]

[tex]2x=-98[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-98}{2}[/tex]

[tex]x=-49[/tex]

Therefore,

The first integer is: -49

The second integer: -49+1 = -48

Solution Check:

-49+(-48) = -97


Related Questions

NEED HELP ASAP WILL GIVE BRAIN

Review the diagram.


On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0).


A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?


approximately 85 m

approximately 122 m

approximately 174 m

approximately 194 m

Answers

Answer:

Vectors are usually described in terms of their components in a coordinate system. Even in everyday life we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if you ask someone for directions to a particular location, you will more likely be told to go 40 km east and 30 km north than 50 km in the direction 37° north of east.

In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is described by a pair of coordinates (x, y). In a similar fashion, a vector

A

in a plane is described by a pair of its vector coordinates. The x-coordinate of vector

A

is called its x-component and the y-coordinate of vector

A

is called its y-component. The vector x-component is a vector denoted by

A

x. The vector y-component is a vector denoted by

A

y. In the Cartesian system, the x and y vector components of a vector are the orthogonal projections of this vector onto the x– and y-axes, respectively. In this way, following the parallelogram rule for vector addition, each vector on a Cartesian plane can be expressed as the vector sum of its vector components:

Step-by-step explanation:

Answer:

approximately 85 m

Step-by-step explanation:

use the law of cosines

x²=120²+90²-2(120)(90)cos(45)

*120 & 90 are given values

*45 is from 25+20; bcuz of alternate interior angles, the other angle from mirror 1 is 25 degrees, making the total 45 degrees

x=√120²+90²-2(120)(90)cos(45)

x=85, the distance btwn origin point and mirror 2

PLease help me for my homework hahaqhahahahahhahaha please

Answers

Answer

Step-by-step explanation:

rise over run so it'd be 3/3 positive or y= 3x-3

Bill purchased x hotdogs and y hamburgers at a baseball game. He spent a total of $10. A hotdog costs 3 dollars and a hamburger costs 4 dollars. Write a linear equation to represent the situation. How many hot dogs and hamburgers did Bill buy?

Answers

Answer:

Bill bought 2 hotdogs and 1 hamburger.

Step-by-step explanation:

If Bill spent $10 total, and a hotdog costs $3 while the hamburger costs $4, then find how many times 3 and 4 go into 10. 3 goes into ten 3 times, and 4 also goes into 10 3 times. but if it was 2 hamburgers and a hotdog, Bill would have spent $11. This is because 4+4=8 and if you add 3 you get 11. But if you do it the other way around, 3+3=6, and if you add 4 to 6 you get 10. Son your answer has to be 2 hotdogs and 1 hamburger, or, X=2 and Y=1.

F(x) = x^3 + x^2-5x-6 at x=2

Answers

Answer:

3^2+2^2-5×2-6

9+4-10-6

-3

Step-by-step explanation:

-3 is the answer

Answer:

It could be solved by filling in "x" as 2.

Step-by-step explanation:

F(x) = 2^3 + x^2 - 5(2) - 6

f(x) = 8 + 4 -10 - 6

f(x) = 12 -16

= -4

Hope this is easy enough to understand.

Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x − 15. Check whether Samantha’s equivalent expression is correct using x = 2. Samantha is incorrect because when using x = 2, the resulting values in both expressions are different. Samantha is incorrect because the expressions cannot be checked using x = 2. Samantha is correct because when using x = 2, the resulting values in both expressions are equal.

Answers

Answer:

The correct answer is c

Answer:

Answer is c

Step-by-step explanation:

Your welcome

Which model represents the product 6×34?

Answers

Answer:

204 is the answer

Step-by-step explanation:

204 is the answer

Paki heart nalang po kung nakatulong

Answer:

its the 3rd

Step-by-step explanation:

Rounding Decimals 5.5252; ones

Answers

Answer:

6

Step-by-step explanation:

Identify the ones place and check the number to the right.

5.5252

Since we round up if the number to the right is greater than or equal to 5, and the number is a 5, we round up.

Therefore,

5.5252 ≈ 6

Hope this helps.

What is the domain and range please?

Answers

Answer:

Both infinate.

Step-by-step explanation:

Write the numbers from least to greatest
8.062, 8.26, 8.026, 8.6

Answers

Answer:

8.026, 8.062, 8.26, 8.6

Step-by-step explanation:

Answer:

Hi! I'm happy to help!

Step-by-step explanation:

8.026, 8.062, 8.26, 8.6

given f(x)=4-3x, what is the value of f(5)?

Answers

Answer:

-11

Step-by-step explanation:

5, 18, 6, 18, 13 WHATS THE INTERQUARTILE RANGE??

Answers

Answer: 12.5

Step-by-step explanation:

25th Percentile: 5.5

50th Percentile: 13

75th Percentile: 18

Interquartile Range: 12.5

An online streaming service costs $25 to join. Each gigabyte used costs $2.50. Let g represent the number of gigabytes. Would this situation represent a function?

True False​

Answers

Answer: 10

Step-by-step explanation:

25 ÷ 2.5 = 10

10 gigabytes

y=7-x in standard form please help

Answers

Answer:

x + y = 7

Step-by-step explanation:

It will be x=7and that the answe

Form a polynomial whose zeros and degree are given.
Zeros: 6, multiplicity 1; 3, multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x) = (Simplify your answer.)

Answers

Answer: (x-6)(x-3)² all multiplied by 3.

Step-by-step explanation: first you will simplify (x-3)² then multiply it by (x-6). Then lastly you will multiply tha entire answer by 3 and simplify.

Hope this helped!!! :))

helpppppp. (the other one cut out is multiplication property of equality)​

Answers

Answer:

The second step is Distributive Property and the third is Subtraction Property of Equality

Step-by-step explanation:

The 1/2 is being distributed in the second step making the 8x to 4x and the 6 to 3.

The third step involves the subtraction of "x" from the right hand side and the left hand side.

What is the value of (2x)° + 1​

Answers

Answer:

=2x+1

Step-by-step explanation:

I am pretty sure that is the answer

Anna makes unique jewelry. The owner of the "Unique" store agreed with Anna to deliver 20 bracelets a week. At the moment, Anna has 80 bracelets made, and can make 17 bracelets a week. For how many consecutive weeks will Anna be able to supply her bracelets to the "Unique" store?

Answers

Answer:

7 weeks

Step-by-step explanation:

80 ÷ 20 = 4

She over those four week she makes 17 per week. So,

17 × 4 = 68

Next, divide the product by 20:

68 ÷ 20 = 3.4

But 3.4 is only 3 full weeks so then its 3.

Lastly, add the 3 weeks we just solved for the the 4 weeks from before and you get 7 weeks.

So, Anna will be able to supply the "Unique" store for 7 weeks.

I HOPE I HELPED!!!!!!!!!! :))))))

128 pounds of dog food for 16 dogs

Answers

Answer:

8

Step-by-step explanation:

128/6=8

Answer:

8.

divide 128 by 16 and its ^

The bottom one Staples has 9 cases of crayons with 1452 boxes in each case
Office Depot has 6 cases of crayons with 504 boxes in each cate
How many total boxes of crayons do both stores hove?

Answers

Answer:

d. 16,092

Step-by-step explanation:

Staples: 1452 x 9 = 13,068

Office Depot: 504 x 6 = 3,024

13,068 + 3,024 = 16,092

In an inequality, 0.5 is the greater number. What will the position of the other number be in relation to 0.5 on the vertical number line? What is the answer?! Help plz.

Answers

Answer:

Closer to 0 than 0.5, or under zero

Step-by-step explanation:

On a vertical number line, anything above zero is positive, and anything under zero is negative. If 0.5 is the greater number, then it has to be closer to zero, or under it.

Answer:

The other number would be located below 0.5 on the vertical number line.

Step-by-step explanation:

A player located 18.6 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle θ = 36º and an initial velocity of v = 25 ft/s. Find the change of distance Δs of the toss if the angle changes by an amount Δθ. Hint: Use the following fact derived from Newton's Laws: An object released at an angle θ with initial velocity v ft/s travels a total distance [tex]s=\frac{1}{32} v^{2} sin(2\theta)[/tex]

Answers

Answer:

Step-by-step explanation:

You suck free points

The change of the distance travelled by the ball when the angle of launch

changes can be found by linear approximation.

The change in the distance, Δs, when the angle changes by Δθ in radians is  approximately 0.211·Δθ.

Reasons:

The distance of the player from the basket = 18.6 ft.

Height from which the jump shot is launched = 10 ft.

Angle of the jump shot = 36°

The initial velocity = 25 ft./s

According to Newton's Law of motion, the distance an object travels when

released at an angle θ, with an initial velocity, v, is given by the following

horizontal range formula equation;

[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]

   

[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]

By linear approximation, we have;

[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]

Which gives;

[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]

360° = 2·π radians

[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]

Δs ≈ 0.211·Δθ

Therefore;

The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.

Learn more here:

https://brainly.com/question/17026396

What is 3x+1-x=5 answer quick

Answers

Answer:

x=2

Step-by-step explanation:

3x+1-x=5

add like terms

2x+1=5

subtract 1 from both sides

2x=4

divide by 2 from both sides

x=2

Answer:

3x+1-x=5

2x+1=5

2x=4

x=2 please give me brainlist

Step-by-step explanation:

Mr. Smith had 262 markers in the art room. He threw away the markers that dried out, and now he has 99 markers. How many markers dried out?​

Answers

Answer:

163

Step-by-step explanation:

262-99=163

Answer:163

Step-by-step explanation: subtract 262 and 99

Michael exchange US $1000 for the CROATIAN currency which is called the KUNA the exchange rate was 5.81 Kuna to $1 how many CROATIAN KUNA did Michael get

Answers

USD $1 = 5.81 Kuna
Therefore,
USD $1000 = 5.81 * 1000 Kuna
USD $1000 = 5810 Kuna

Write the equation of a line that is parallel to y = 6x +1 and that passes through the point (-7,1).

Answers

Answer:

[tex]y=6x+43[/tex]

Step-by-step explanation:

We want the equation of a line that is parallel to [tex]y=6x+1[/tex] which also passes through (-7, 1).

Since the new line is parallel, it must have the same slope as the original line.

The slope of the original line is 6.

Hence, the slope of our new line must also be 6.

We know that the slope is 6.

And it passes through the point (-7, 1).

So, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

Substitute:

[tex]y-1=6(x-(-7))[/tex]

Simplify:

[tex]y-1=6(x+7)[/tex]

Distribute:

[tex]y-1=6x+42[/tex]

Add 1 to both sides. Hence, our equation is:

[tex]y=6x+43[/tex]

2.3 × 2² ÷ 2- 8·9 help please

Answers

Answer:

67.4

Step-by-step explanation:

Write an equation for the line parallel to the given line that contains C.
y =

Answers

Answer:

y=3/7x+46/7

Step-by-step explanation:

Parallel lines have the same slope. This means in the equation y=mx+b, m=3/7 for sure. Then, it gives us the point (1,7). The line has to go through this point so we plug it in: 7=3/7(1)+C. Then, we solve for C using algebra.

7-3/7=C

C=46/7

What are the domain and range of each relation?

Drag the answer into the box to match each relation.

Answers

Answer:

Step-by-step explanation: Domain is the x coordinates and range is the y coordinates

Who can't wait for Cyberpunk to come out

Answers

Answer:

i got it, hella good game but reallllyyy buggy

Step-by-step explanation:

feel free to ask questions abt it, I know, lore, controls, gameplay, etc.

Can somebody just answer this in simplify form plz!!! Make sure it’s a correct answer :)

(I’m still new to this and idek what “simplify it” means...?
WILL MARK BRAINLIEST
PROMISE!

Answers

7-2 is 5 and multiple by 3 equal 15
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