Solve by substitution
X^2= 2y + 10
3x-y = 9

Answers

Answer 1

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer 2

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3


Related Questions

The diagram shows a circle inscribed in a square.
12 m
12 m
What is the area of the shaded part of the diagram? (Use 3.14 as an estimate for 1.)

Answers

Answer:

A

Step-by-step explanation:

first lets find the area of the square

A=l*w

12*12=144 m^2

then lets find the are of the circle

A=pi*r^2

A=3.14*(d/2)^2

the diameter of the circle is 12m

A=3.14*(12/2)^2

A=3.14*(6)^2

A=3.14*36

A=113.04 m^2

Now, lets subtract the area of the circle form the area of the square

144-113.04= 30.96 m^2

So, the answer is A

2. A system of equations is solved by finding the intersections of when f(x) = g(x).
False
True

Answers

Answer:

true

Step-by-step explanation:

hard to explain,

hope it helps

It is true that when f(x) = g(x), the system of the equation is solved.


A statement to justify that A system of equations is solved by finding the intersections of when f(x) = g(x).


What is the equation?

The equation is the relationship between variables as is an example of a polynomial equation.

Let, f(x) = ax+ by  - - - - ( 1 )
     g(x) = cx + dy - - - - -( 2 )
Both equations contribute to systems of equation.

When solving both equations ( 1 ) and ( 2 ).
We get values of x and y this x and y when put in the equation ( 1 ) and  ( 2 ) we will get the same result and the result implies f(x) = g(x). So, it is true that when the system of equation is solved by intersections f(x) = g(x).


Thus, It is true that when f(x) = g(x), the system of the equation is solved.

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Please please, I need help with this question ASAP.....

Answers

We want to compare averages.  From the histogram we have we don't know the exact mean, but if we just assume the average in each bin is the midpoint of the bin we can make an estimate.

Supplier A has

mean = ( 22(64) + 27(66) + 26(68) + 15(70) + 10(72) )/(22+27+26+15+10)

mean = 6728/100 = 67.28 grams

Supplier B has mean 66.5

Answer: Choose Supplier A

(work shown above)

A long distance phone call between two cities costs $3.43 for 7 minutes. What is the rate in cents per minute?

Answers

3.43 dollars divided by 7 minutes = 0.49 cents

A random sample of 48 was taken from a shipment of 10,080 light bulbs from Light Bulbs Express. Out of the 48 light bulbs, 5 were red. How many red bulbs would you expect in the entire shipment?


______________red bulbs (Round answer to the nearest whole number).




A random sample of 62 was taken from another shipment of 15,500 from Light Bulbs R Us. There were 6 red bulbs in the sample. How many red bulbs would you expect in the entire shipment?


_____________red bulbs (Round answer to the nearest whole number)




Which company has the highest ratio of red bulbs in their shipment?


Company ______ (Type either A or B)


Company A = Light Bulbs Express


Company B = Light Bulbs R Us

Answers

Answer:

1. Expected(Red) in Shipment A = 1,050

2. Expected(Red) in Shipment B = 1,500

3. Company A has highest ratio of red bulbs

Step-by-step explanation:

Given

Shipment A (Light Bulb Express):

Total Light Bulb = 10,080

Sample Size = 48

Red Bulbs = 5

To calculate the expected number of Red bulbs;

We start by calculating the probability of Red;

P(Red) = Number of Red / Sample Size

P(Red) = 5/48

Expected Number of Red Bulbs is calculated as follows;

Expected(Red) = P(Red) * Total Light Bulb

Expected(Red) = 5/48 * 10,080

Expected(Red) = 50400/48

Expected(Red) = 1,050

Hence, the expected number of red light bulbs in the entire shipment is 1,050

Given

Shipment B (Light Bulb R Us):

Total Light Bulb = 15,500

Sample Size = 62

Red Bulbs = 6

To calculate the expected number of Red bulbs;

We start by calculating the probability of Red;

P(Red) = Number of Red / Sample Size

P(Red) = 6/62

Expected Number of Red Bulbs is calculated as follows;

Expected(Red) = P(Red) * Total Light Bulb

Expected(Red) = 6/62 * 15,500

Expected(Red) = 93000/62

Expected(Red) = 1,500

Hence, the expected number of red light bulbs in the entire shipment is 1,050

The company with highest probability has the highest ratio;

For Company A (Light Bulb Express)

Probability = 5/48

Probability = 0.1042

For Company B (Light Bulb R Us)

Probability = 6/62

Probability = 0.0968

Since 0.1042 is greater than 0.0968, we can conclude that Company A has the highest ratio of red bulbs;

Help me please due TODAY

Answers

Answer:

The answer is 3

Step-by-step explanation:

7.5 m

---------

  5

7.5(2)=15

-------------

       5

15

---    =3

5

Answer: 3

Explanation: 7.5x2=15
15 divided by 5=3

One student says -5 is bigger than -4 and uses money as the analogy: “If I owe $5, I have a bigger debt than if I owe $4.” What is wrong with this argument?

Answers

Answer:

This is a bad argument because when talking about negative numbers, the closer the numbers are to 0, the bigger they are. -4 is closer to 0 than -5, so -4 is the bigger number.

Step-by-step explanation:

Answer:

-5 is not larger than -4.

Step-by-step explanation:

Think of a number line. The absolute value of -5 is 5, meaning -5 is 5 away from 0 to the left. On the other hand, -4's absolute value is 4, meaning -4 is 4 away from 0 to the left. In the money scenario, owing $5 is a bigger debt because the absolute value is larger, not the number itself. Hope this helps!!

Express 84 as a product of prime factors

Answers

Prime factorization: 84 = 2 x 2 x 3 x 7 which can also be written as 2² x 3 x 7
prime factorisation: 84= 2 x 2 x 3 x 7

assemble the proof by dragging tiles HELP ASAP PLEASE!!!!

Answers

what you have to do is move C a little bit down to make it at 26 and than make A , B , and D straight , Hope this helps you , I tried my best

Convert -3(x+2)^2-10 into standard form.

Please help me

Answers

Answer:

Step-by-step explanation:

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

C

Step-by-step explanation:

I am guessing that's it.

Answer:

A

Step-by-step explanation:

2m + 7

twice a number (m) increased by 7

or

7 more then twice a number (m)

Are the following two figures similar or congruent?

A. Congruent
B. Similar

Please help me with this

Answers

Answer:

B. Similar

Step-by-step explanation:

Congruent triangles have to be the same size. Similar triangles need to have the same angles but are not the same size.

Answer:

B. Similar

Step-by-step explanation:

Kevin practices kicks for soccer he kicks 13 times at recess .he kicks 14 times after school. Then ke kicks 16 times before bes.how many practice kicks did kevin take in all

Answers

Answer:

43

Step-by-step explanation:

13+14+16=43

Answer:

43

Step-by-step explanation:

what are the values of the coefficents and constant term of 0= 4-7x^2

a=
b=
c=​

Answers

Answer:

a = -7

b = 0

c = 4

Step-by-step explanation:

Pls help me it’s emergency plzz fast

Answers

Answer:

67.3%

Step-by-step explanation:

Calculate profit = selling price - cost price

cost price = 50 × $28 = $1400

38 × $49 = $1862

12 × $40 = $480

selling price = $1862 + $480 = $2342

Profit = $2342 - $1400 = $942

% profit = [tex]\frac{profit}{cost}[/tex] × 100%

             = [tex]\frac{942}{1400}[/tex] × 100% ≈ 67.3% ( to 1 dec. place )

Jesse is in a lab examining sizes of skin cells. Cell A has a diameter of 5.8 × 10 ^-9 mm. Cell B has a diameter of 4.2 × 10 ^-7 mm.

How much longer is the diamter of Cell B than Cell A?

A. 1.6 x 10 ^-2

B. 1.6 x 10 ^-16

C. 4.14 x 10 ^-7

D. 4.14 x 10 ^-9

Answers

Answer:

The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Step-by-step explanation:

Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

Now we are supposed to find How much longer is the diameter of Cell B than Cell A?

So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]

So, Option C is true

Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

I need help quick lot of points easy question marked brainliest the best.
How do you find out a histograms least frequency interval

Answers

Answer:

Histograms are graphs of a distribution of data designed to show centering, dispersion (spread), and shape (relative frequency) of the data. Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.

They are used to understand how the output of a process relates to customer expectations (targets and specifications), and help answer the question: "Is the process capable of meeting customer requirements?"

To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval. The bins are usually specified as consecutive, non-overlapping intervals of a variable.

Hope this Helps, good luck on our assignment!

Answer:

Hey! I think this video will help you!

Step-by-step explanation:

It won't let me send the video for some reason so I'll try and spell it out. Hint: there are no actual spaces so look this up without the spaces.

h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = v h c i k R s r d J o

In your own words, explain the steps you would need to take to find slope from data in a table.


Answers

The steps that you need is to add subtract and divide all the slopes to get your answer

Answer:

Sample Answer:   Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Kim is 4/5 as old as Alan. In four years, she will be 5/6 as old as he will be. How old is each now?

(Please show all your work, with statements)

Answers

Answer: Kim is 16 and Alan is 20

Kim => x

Alan => y

Kim is 4/5 as old as Alan  =>  [tex]x=\frac{4}{5}y[/tex]

In four years, she will be 5/6 as old as he will be => [tex]x+4=\frac{5}{6}(y+4)[/tex]

Solving the system we obtain x=16 and y=20

which inequality is represented by this graph ?

Answers

Answer:

It's D.

Step-by-step explanation:

If it is a closed circle, it is greater/less than or equal to. If it goes right, it's greater than. If it goes left, it's less than.

Answer:

x≥ -53

Step-by-step explanation:

There is a closed circle at -53  which means equals and the line goes to the right which means greater than

x≥ -53

What is the solution of 3square root x+8 = -4?
• x=-72
• x=-66
• x=58
• no solution

Answers

Answer:

No solution

Step-by-step explanation:

I'd suggest you try to solve this first:  3√(x + 8) = 4.  First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9.  We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function.  No solution.

If we now write 3√(x + 8) = -4   (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9.  If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.

The solution for the given equation is 16.

The given equation is 3√x+8=-4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

Now, 3√x+8=-4

⇒ 3√x=-4-8

⇒ 3√x=-12

⇒ √x=-12/3

⇒ √x=-4

Squaring both the sides, we get

x=16

Therefore, the solution for the given equation is 16.

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Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)

Answers

Answer:

w = - 5, w = - 3

Step-by-step explanation:

Given

w² + 8w + 15 = 0

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)

The factors are + 5 and + 3 , since

5 × 3 = 15 and 5 + 3 = 8 , thus

(w + 5)(w + 3) = 0 ← in factored form

Equate each factor to zero and solve for w

w + 5 = 0 ⇒ w = - 5

w + 3 = 0 ⇒ w = - 3

Which value for x makes the sentence true?
3/4x + 4 += 7

Answers

answer: 4

explanation: i just know

Event A: lands on yellow.
Event B: lands on green.

Events A and B are a0 events.

Answers

Answer:

1/16

Events A+B are written (P) yellow : 1/4 * (P) green : 1/4

Ao event = (P) 1/4 * 1/4 = 1/16

Step-by-step explanation:

The probability of event A and event B is 1/16.

We have given that,

Event A: lands on yellow.

Event B: lands on green

Events A+B are written  

yellow(P) = 1/4 * (P) green= 1/4

What is the meaning of probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Ao event (P)=1/4 * 1/4

Event = 1/16

Therefore the probability of event A and event B is 1/16.

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Please do 1,2,3 for 10 points

Answers

Answers:

-218-2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

1. -2

2. 18

3. -2

Step-by-step explanation:

In the following explanations "x" is a variable which represents "a number" given in the problems.

1. You can set up a simple equation " x + 7 = 5 " because you are increasing a number to get the answer. From there you can subtract 5-7 and you'll get -2, the answer to the first one.

2. This time the number is decreased by 6, and the answer is 12. Since it's being decreased, you'll set up the equation like this: " x - 6 = 12 ". For this problem you can do 12 + 6 = 18, which is your answer.

3. A number "added" to -3 is -5. The number following 'is' will almost always be the answer you're looking for, so we can do x + (-3) = -5 . From there just add 3 to each side, and you'll get -2 + (-3) = -5.

If you take one thing away from this, let it be the following:

The methods that I used do work, but something I'd suggest trying in the future is carrying over the same number to the other side of the equation.

If you're struggling on these problems, this might help.

The way this works is simple, lets say you have this equation:

x + 5 = 10

The best and most efficient way of solving this problem is by taking a number from one side, and moving it to the other side. It seems confusing at first, but isn't all that hard once you figure it out. So for this problem:

x + 5 = 10

   - 5   -5

Now you only have 'x' on the left side of the equation. This is the end goal. Once you get x on one side of the equation, the answer tends to be on the other side.

So:

x + 5 = 10

   - 5   -5

x + 0 = 5      <- this is what you want.

x = 5

Hope this helps, and hope you learned more from this then an hour and a half at school :P

Which set represents the same relation as the table below? x f(x) 0 5 4 2 6 9 9 10 StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSet StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSet StartSet 0, 2, 4, 5, 6, 9, 10 EndSet StartSet 2, 5, 9, 10 EndSet

Answers

Answer:

1) {(0,5), (4,2), (6,9), (9,10)}

Step-by-step explanation:

Lets right the table in more clearer view.

x         f(x)

0           5

4           2

6           9

9          10

The relation in coordinates form is written as (x, y) , x being the first term and y being the second term.

For x = 0, y = 5, so it can be written as (0,5)

Similarly, we can write the next values as:

(4,2)

(6,9)

(9,10)

So the data in the table is:

(0,5), (4,2), (6,9), (9,10)

It can be written is a set form

{(0,5), (4,2), (6,9), (9,10)}

Which is the same as option 1.

Hence, Option 1 is correct.

Answer:

A

Step-by-step explanation:

took the quiz edge 2020

pls help this is due in 31 minutes pls help.​

Answers

Answer:

option 3

Step-by-step explanation:

each little square represents a side of a cube, so it is 81 in^2

So, lets take a square root, since all distance is positive, it is 9, since a cub'es side lengths are all the same, the dimensions are 9*9*9inches, or option 3

During a football game, a quarterback decides to run the ball 45 yards to score a touchdown. How many feet did
he run to score the touchdown? (round to whole number)​

Answers

Answer:

135

Step-by-step explanation: 45 times 3

Answer:

135 feet

Step-by-step explanation:

a yard is a little more  than a foot and we just round to

1 yard = 3feet so 45*3 is 135 feet

help me solve this please! thanks

Answers

Answer:

732421875

Step-by-step explanation:

Since the given number is divisible by 3 and multiple of 5, it must end with 5 and sum of its digits divisible by 3

Only option 3 satisfies the condition described above:

732421875- ends with 5 and sum of digits= 39 divisible by 3

Angle YXZ is 57 degrees.
Angle VXW is 57 degrees.
Angle WXZ is 123 degrees.
Angle XVW is 56 degrees.
Angle XWZ is ? degrees.
Angle XZW is ? degrees.

Answers

Answer:

Angle XVW is 56 degrees.

Angle XWZ is 28.5 degrees.

Angle XZW is 28.5 degrees.

Step-by-step explanation:

bcuz yes :)

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