What is the solutions set of y=x^2+2x+7and y=x+7

Answers

Answer 1

Answer:

when x=0 ,y=7

when x=-1, y=6

Step-by-step explanation:

Taking [tex]y=x^{2} +2x+7, y=x+7[/tex] as equation 1 and 2 respectively

Inserting equation 2 in 1,

[tex]x+7=x^{2} +2x+7\\[/tex]

getting rid of 7 since its in both the sides with the same + signs,

[tex]x^{2} +2x-x=0\\x^{2} +x=0\\x(x+1)=0\\x=0 / x=-1[/tex]

when x=0 ,

y=7

when x=-1 , y=6


Related Questions

Help !!!!!!!!! !!!!!!!!!!!!

Answers

Answer:

28

Step-by-step explanation:

Add up the angles of the ones given so

40 + 112 = 152 and then subtract by 180 to get the missing angle: 180 - 152 = 28

I hope this helped!

Answer:

28°

Step-by-step explanation:

40° + 112 ° + angleCBA =180

152°+ angleCBA= 180

angle CBA=180° - 152°

angle CBA= 28°

True or false
You always have to use x and y as your variables when writing
equations for word problems.

Answers

Answer:

false

Step-by-step explanation:

you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something

what's the answer dhdhdizdjskxi

Answers

Answer:

138 ft for the area in the proposed design of the green section.

To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.

Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.

The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007.

Which interval contains the median temperature?
A.)50 - 59
B.)60 - 69
C.)70 - 79
D.)80 - 89

Answers

B)60-69

I guess option B is correct as it's frequency is higher

Answer:

answer is B. 60-69

Step-by-step explanation:

because I said so?

i need help with geometry

Answers

Answer:

Pyramid

Step-by-step explanation:

Finding probability

Answers

Answer:

6/8??

Step-by-step explanation:

I am a little confused with the question but i believe its 6/8

What is 7.936 rounded to the hundredths place

Answers

Answer:

7.94 is your answer

Step-by-step explanation:

......

i'm pretty sure its 7.94, sorry if im wrong

Gabrielle's age is three times Mikhail's age. The sum of their ages is 80. What is Mikhail's age?

Answers

Answer:

Mikhail is 20 years old

Step-by-step explanation:

80 = Mikhail + Gabrielle

Gabrielle is 60 years old

Mikhail is 20 years old

20 * 3 = 60

20 + 60 = 80

solve the system of equations x-y=-14 and 5x+7y=-10 by combining the equations.

Answers

Answer:

x+y=-4

Step-by-step explanation:

you need to solve this using elimination!

add both equations to each other:

x-y=-14

5x+7y=-10

the answer would be

6x+6y=-24

to go further,

it would be....

x+y=-4

because you can divide both sides by 6

hope this helped <33333

16x³-128y³
pls answer fast​

Answers

Answer:

16x³-128y³

2((2x)³-(4y)³)

2(2x-4y)(4x²+8xy+16y²)

2×2×4(x-2y)(x²+2xy+4y²)

16(x-2y)(x²+2xy+4y²)

is your answer in factor form.

The required factor is given by 16(x-2y)(x²+2xy+4y²)

What is factor?

factors can be defined as the the numbers that multiply to give that number.

Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)


[tex]16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)[/tex]

Thus the required  factor is given by 16(x-2y)(x²+2xy+4y²).

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Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the following formula to find the volume: (3.14) (12) V = (3.14) (1728) (5425.92) V=7234.56 cubic inches Emily's answer is incorrect. What did she do wrong? She used the formula for a cylinder instead of the formula for a sphere She used the formula for a sphere instead of the formula for a cone. Multiplying (314)(1728) does not equal 5425.92. She used the beach ball's diameter when she should have used the radius​

Answers

Answer:

D. She used the beach's ball's diameter when she should have used the radius

Step-by-step explanation:

To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.

The formula she used is correct.

Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.

Radius (r) = ½(diameter) = ½(12) = 6 in.

This is where Emily made a mistake.

She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.

She should have gotten,

V = ⁴/3(3.14)(6)² = 904.32 cubic inches

Can someone answer this

Answers


jim grant. can you answer my question too?

Answer:

54

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = 81 ← value of y from table for x = 4

f(a) = f(3) = 27 ← value of y from table for x = 3

average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54

Who can answer this ( see image).

Answers

9514 1404 393

Answer:

  042

Step-by-step explanation:

The first clue tells you the possibilities are ...

  6__, _8_, or __2

The second clue eliminates 6__ and tells you the possibilities are ...

  18_, _81, 1_2, 48_, _42

The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.

042 is consistent with the last 2 clues.

The 3-digit key is 042.

-Cuántos números 2 veras si cuentas de del 10 al 22?​

Answers

Answer:

12

Step-by-step explanation:

6x - 4y = 38
x + y = 5

Answers

Answer: y= -4/5 and x= 29/5

Step-by-step explanation:

From eqn2 , x= 5-y. Thus substituting in eqn1 will give

6(5-y)-4y=38

30-6y-4y=38

30-10y=38

-10y=38-30

-10y= 8

y=8/-10---> y= -4/5

Substituting y in eqn2 we have

x+(-4/5)=5

x=5+4/5

x=29/5

If 9:3 is equal to 3:1 and then what is 12:4 equal to ?

Answers

Answer:

36:12 or 3:1

Step-by-step explanation:

12:4= 36: 12

or 12:4 simplify= 3:1

hope it helps

IF you add 6 tens of thousands, 5 thousands and 3 hundreds together what is the value of the largest digit of the answer?

Answers

Answer:

ten thousands place

Step-by-step explanation:

6 tens of thousands = 60,000

5 thousands= 5,000

3 hundreds= 300

60,000

+  5,000

+      300

 65,300

Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
1,3,5...
This is
sequence and the
is equal to

Answers

Answer:

arithmetic

Step-by-step explanation:

geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time

Answer:

This is an arithmetic sequence and the common difference is equal to 2.

A light bulb manufacturer randomly checks light bulbs. Of 1,000 light bulbs checked, 30 light bulbs are defective. How many light bulbs will most likely be defective in a batch of 3,500?

A. 60
B. 105
C. 120
D. 180

Answers

Answer:

105

Step-by-step explanation:

(30/1000) * 3500 = 105

In ΔXYZ, ∠Y=90° and ∠X=40°. ∠ZWY=51° and XW=600. Find the length of ZY to the nearest integer.

Answers

The image of the triangle is missing so i have attached it.

Answer:

ZY ≈ 391

Step-by-step explanation:

From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°

Now, similarly ∠XZY = 180 - (40 + 90) = 50°

Using sine rule, we can find WZ;

WZ/sin 40 = XW/sin 50

We are given XW = 600

Thus;

WZ = (600 × sin 40)/sin 50

WZ = 503.5

Now, ZY can be found using trigonometric ratios;

ZY/WZ = sin 51°

Thus;

ZY = 503.5 × sin 51

ZY ≈ 391

twice a number divided by 3

Answers

Answer:

3/4

Step-by-step explanation:

Decide whether the triangle can be proven congruent I need help

Answers

Answer:

I think AAS can be used

Step-by-step explanation:

An interior designer made a scale model of a room. Each 1 inch in the model represented 12 feet in the actual 1 room. If the length of a hall was 2 inches in the model, what was the actual length of the hall?

Answers

Answer:

Step-by-step explanation:

Jxjcjja

f(x)=∣x∣
g(x)=∣x−1∣+9

We can think of g as a translated (shifted) version of f
Complete the description of the transformation.

Answers

Answer:

Step-by-step explanation:

There are two transformations, one vertical, one horizontal.

The + 9 part outside the absolute value sign moves the graph up 9 units.

Replacing  x  with  x - 1 moves the graph right 1 unit.

Comment:  The horizontal shifts sometimes appear backwards:  x - 1 looks like a shift to the left, but it's not.

Example:  f(4) = |4| = 4.  To get the same output (4) from g(x), you have to use a value for  x  that is 1 unit larger than 4.  g(5) = |5 - 1| = 4.

algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)

Answers

Answer:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           3s2 - 2s + 1

Simplify   ————————————

            s2 - s + 2

Trying to factor by splitting the middle term

2.1     Factoring  3s2 - 2s + 1

The first term is,  3s2  its coefficient is  3 .

The middle term is,  -2s  its coefficient is  -2 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   3 • 1 = 3

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    -1    =    -4

     -1    +    -3    =    -4

     1    +    3    =    4

     3    +    1    =    4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

What is the volume of the right rectangular prism, in cubic centimeters?

Answers

Answer:

108 units

Step-by-step explanation:

Volume = length × width × height

V = 4 × 3 × 9

V = 108 units

The cost of 15 kg of apples is $262.50. Find the cost of 25 kg of apples

Answers

Answer:

525.00

Step-by-step explanation:

The cost of 25 kg of apples is $437.5.

What do we mean by cost ?

"A cost is an expenditure required to produce or sell a product or get an asset ready for normal use. In other words, it’s the amount paid to manufacture a product, purchase inventory, sell merchandise, or get equipment ready to use in a business process.

There are many different costs, including fixed and variable, but they are all accounted for in the same way. Costs are recorded as expenses on the income statement during and accounting period and cleared out in a closing entry at the end of the period."

The cost of 15 kg is $262.50.

So, the cost of 1 apple is 262.50/15

= 17.5

Cost of 25 kg = [tex]17.5 * 25 = 437.5[/tex]

Hence, the cost of 25 kg of apples = 437.5

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Leigh-Mari walks 10 kilometres to a waterfall at an
average speed of 3 kilometres per hour.
(a) Write down, in terms of r, the time taken in hours.
(b) Leigh-Mari returns from the waterfall but this time she
walks the 10 kilometres at an average speed of (x+1)
kilometres per hour. The time of the return journey is
30 minutes less than the time of the first journey. Write
an equation in x and show that it simplifies to
2 + 1 - 20 = 0.
(c) Solve the equation x2 + - 20 = 0.
(d) Find the time Leigh-Mari takes to walk to the waterfall,​

Answers

Answer:

immma send you the link friend me on hereStep-by-step explanation:

Solve for x: help me

Answers

Answer:

[tex]8x - 4 = 60 \\ 8x = 64 \\ x = 8[/tex]

Answer:

8

Step-by-step explanation:

8x-4=60

need help now! (probibility)

The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?

Answers

Answer:

36%, I'm fairly certian

Step-by-step explanation:

A. 90%

B. 60%

C. 30%

D. 36%

D. makes the most sense to me

The probability of going to the amusement park will be 60%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park.

The probability will be calculated as:-

[tex]P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%[/tex]

Therefore probability of going to the amusement park will be 60%.

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