Here is a sketch of a curve.
YA
The equation of the curve is y = x2 + ax + b
where a and b are integers.
The points (0, -7) and (7, 0) lie on the curve.
Find the coordinates of the turning point of the curve.

Here Is A Sketch Of A Curve.YAThe Equation Of The Curve Is Y = X2 + Ax + Bwhere A And B Are Integers.The

Answers

Answer 1

Answer:

The turning point of the graph is at (3,-16)

Step-by-step explanation:

The general equation of curve is given as:

y = x² + ax + b

The two point for which the equation satisfies is (0,-7) and (7,0).

Substitute (0,-7) in the general equation:

y = x² + ax + b

-7 = 0² + a(0) + b

b = -7

Substitute (7,0) in the general equation:

y = x² + ax + b

0 = 7² + 7a + b

Where b = -7

0 = 49 + 7a - 7

0 = 42 + 7a

a = -6

The equation of the curve is:

a = -6 and b = -7

y = x² + ax + b

y = x² - 6x - 7

Graph of the equation is attached below.

We can see that the the turning point of the graph is at (3,-16)

Here Is A Sketch Of A Curve.YAThe Equation Of The Curve Is Y = X2 + Ax + Bwhere A And B Are Integers.The

Related Questions

Can someone please help

Answers

Answer:

The answer is B

Step-by-step explanation:

When you reflect it over the x-axis you have to change the coordinates of each number.

Answer:

B. (1, -1), (1, -4), (3, -1)

Step-by-step explanation:

If a triangle is reflected across the x-axis, it's y coordinate values will become negative or positive if it's already negative. It uses the rule (x, -y)

(1, 1) → (1, -1)

(1, 4) → (1, -4)

(3, 1) → (3, -1)

Only B. (1, -1), (1, -4), (3, -1) is correct.

Find the value of x in each case.

Answers

Answer:

x = 22°

Step-by-step explanation:

Given corner URV = x and because of symmetry of Z-corners, that corner by definition is the same as corner DVR.

So corner SVR = V = x

R = 44°

S = 5x + 4°

V = x

In any triangle the three corners add up to 180°

Combine all this info and you get:

44 + 5x + 4 + x = 180

Solve for x (means write as x =...)

5x + x = 180 - 4 - 44

6x = 132

x = 132/6

x = 22°

What is the value of c in the equation? 15.3 = StartFraction c Over 2.1 EndFraction 13.2 17.4 32.13 321.3

Answers

Answer:

32.13

Step-by-step explanation:

15.3= c/2.1

c= 15.3* 2.1

c= 32.13

Answer:

32.13 aka C got it right on my quiz

Mark the person on top as Brainliest there are right and answered first

Suppose you are an elementary school teacher. You want to order a rectangular bulletin board to mount on a classroom wall that has an area of 160 square feet. Suppose fire code requirements allow for no more than 30% of a classroom wall to be covered by a bulletin board. If the length of the board is three times as long as the width, what are the dimensions of the largest bulletin board that meets fire code?
width FT
ft length FT

Answers

Answer:

12 feet x 4 feet

Step-by-step explanation:

The classroom wall is 160 feet, and no more than 30% of it may be covered.

Multiply 160 times .3 to get the maximum amount of square feet that the bulletin board can cover.

You get 48 square feet for the bulletin board.

The length of the board is three times as long as the width, so the length must be 12 and the width must be 4 feet.

Answer: 12 feet x 4 feet

Answer:

L=12 W=4

Step-by-step explanation:

160x.3= 48ft for fire code

4x12=48

Two people can swing on a trapeze at the same time as long as
their total weight is less than 500 pounds. Joe weighs 240 pounds
and is 6 feet tall. Jake weight 250 pounds and is 32 years old. Can
Joe and Jake swing on the trapeze at the same time?

Answers

Answer:

Yes!

Step-by-step explanation:

Joe’s weight with Jake’s weight is 490, which is less than 500, so yes!

Yes there weight add up to 490

What is the factored form of 64g^3+8?

(4G+2)(16g^2+8g-4
(4g+2)(16g^2-8g-4
(4g+2)(16g^2+8g+4
(4g+2)(16g^2-8g+4

Answers

Answer:

(4g+2)(16^2-8g+4)

Step-by-step explanation:

Method 1

Since you've been given possible answers,expand each option. The option which gives 64g^3+8 is the answer.

Method 2

use the formula (a+b) (a^2-ab+b^2)

where a is 64g^3

b is 8

find the cubic root of a and b

a=4g

b=2

substituting a and b into the formula

(4g+2)(4g)^2-2.(4g)+2^2)

(4g+2) (16g^2-8g+4)

The solution is:

(4g+2)(16^2-8g+4), is the factored form of 64g^3+8.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Method 1

Since you've been given possible answers, expand each option. The option which gives 64g^3+8 is the answer.

Method 2

use the formula (a+b) (a^2-ab+b^2)

where a is 64g^3

b is 8

find the cubic root of a and b

a=4g

b=2

substituting a and b into the formula

(4g+2)(4g)^2-2.(4g)+2^2)

(4g+2) (16g^2-8g+4)

Hence, The solution is:

(4g+2)(16^2-8g+4), is the factored form of 64g^3+8.

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What is the scale factor in the dilation

2/5
1/2
2
2
1/2

Answers

2 1/12 is the dilation. Divide one of the biggest shape’s side by the same side on the smaller one.

Answer:

I think D, or 2 1/5

Step-by-step explanation:

Help please I rly need it
60 POINTSS​

Answers

Answer:

[tex]42 \times 48[/tex]

Step-by-step explanation:

[tex]25 \times 36=900\\52 \times 63=3276[/tex]

[tex]34 \times 42 = 1428\\ 43 \times 24=1032[/tex]

[tex]54 \times 56 = 3024\\45 \times 65= 2925[/tex]

[tex]42 \times 48 = 2016\\ 24 \times 84= 2016[/tex]

[tex]32 \times 43 = 1376\\ 23 \times 34=782[/tex]

The calculation for [tex]42 \times 48[/tex] has the same results from switching the digits.

Answer:

25 × 36 = 900

52 × 63 = 3 276

34 × 42 = 1 428

43 × 24 = 1 032

54 × 56 = 3 024

45 × 65 =  2 925

42 × 48 = 2 016

24 × 84 = 2 016

32 × 43 = 1 376

23 × 34 = 782

Which of the binomials below is a factor of this trinomial?
5x2 - 5x-100
O A. x + 10
B. X-5
C. X+ 5
D. X-4

Answers

I think answer should be d. Please give me brainlest I hope this helps

Answer:

B

Step-by-step explanation:

Help please can’t get this wrong. Am I doing this right if not correct me. And how do I write it

Answers

Answer:

I think it’s correct

Step-by-step explanation:

Brainliest for whoever gets this right!

Please help ASAP!

Find the inequalities which describe the region that’s shaded

Answers

Answer:

The lines that make this up are y = 5, x = 4 and y = x so the answer is y ≤ 5, x ≥ 4 and y ≥ x.

Work it out for me plz

Answers

Answer:

180 centimeters cubed.

Step-by-step explanation:

The volume of a cuboid is lwh.

Length × Width × Height

(9)×(5)×(4)

(45)×(4)

=180

Answer:

180 cm^3

Solution,

[tex]volume \: of \: cuboid \\ = l \times w \times h \\ = 5 \times 9 \times 4 \\ = 180 {cm}^{3} [/tex]

hope this helps...

Good luck on your assignment...

1/3 expressed as a decimal fraction is? (Round to the nearest thousandths)

Answers

Answer:

1/3=0.33333333333...

Nearest thousandths would be:

0.333

Answer

0.333

Step-by-step explanation:

you would divide 1 by 3

Radicals PLEASE HELP will mark brainliest! You are considering installing a pendulum in the amusement park visitor’s center. The time it takes a pendulum to complete a full cycle or swing depends upon the length of the pendulum. The formula is given by T = 2 π √(L/32) where T represents the time in seconds and L represents the length of the pendulum in feet. If the pendulum is 8 feet long, how long will it take for the pendulum to complete a full cycle?

Answers

Answer: 31.42 seconds

Step-by-step explanation:

Given that:

Time taken (T) for a pendulum to complete a full swing or cycle is represented by the equation:

T = 2 π √(L/32)

T = time taken to complete a full swing in Seconds

L = Length of the pendulum measured in feet

If length (L) of the pendulum = 8 feet

Time taken (T) =?

Inputting our values :

T = 2 π √(8/32)

T = 2 π √(1/4)

T = 2 π 0.5

T = 10 π

T = 10 × 3.142 = 31.42seconds

01:58:01
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
Save and Exit
Next
Submit

Answers

Answer:

Number of sides = 18

Step-by-step explanation:

Using the formula given below for this

=> [tex](n-2)*180 = measure of interior angles[/tex]

=> (n-2)*180 = 2880

Dividing both sides by 180

=> n-2 = 16

Now, Adding 2 to both sides, we get

=> n = 18

Answer:

20

Step-by-step explanation:

Stone bridge neighborhood garage sale had these cash receipts for 5 days: $214.50, $125.17, $245.30, $165.34, $58.75. What were the total cash receipts?

Answers

The answer is 809.22

Answer: 809.06‬

Step-by-step explanation:

$214.50 +  $125.17 +  $245.30 + $165.34 +  $58.75 =  809.06‬

Choose the graph that displays the solution to the system of equations.
x = y - 2
y-8 =
2


Answers

Answer:

The first graph is the solution to:

x = y - 2  (blue line)

y-8 = -1/2x (red line)

where the solution is (4,6)

The second graph is the solution to:

x = y - 2  (blue line)

y-8 = -2x (red line)

where the solution is (2,4)

Step-by-step explanation:

The second equation is not clear. From the figures, the possible functions are: y-8 = -1/2x and y-8 = -2x.

To graphically solve a system you have to draw each line on the plane and look at the intersection point.

Answer:

Its the first graph you can graph it on desmos if you need :)

Step-by-step explanation:

factorise fully 6x+4

Answers

Answer:

2(3x+2)

Step-by-step explanation:

=> 6x+4

Taking 2 common

=> 2(3x+2)

Answer:

2(3x + 2)

Step-by-step explanation:

2(3x + 2) = 6x + 4

PLEASE HELP ME ITS REALLY IMPORTANT PEASE SOLVE THE PROBLEM IN THE PHOTO!!

Answers

Answer:

Jack, Nate, Oliver

Step-by-step explanation:

[tex]1\frac{1}{4} < |-2\frac{1}{4}| < |3\frac{1}{2}|[/tex]

−5(p+3/5)=−4 solve for p

Answers

Step-by-step explanation:

-5(p+3/5)= -4  distribute

-5p -3 = -4 addition

-5p = -1 division

answer = .2

The value of p is 1/5 .

Given,

−5(p+3/5)=−4

Here,

−5(p+3/5)=−4

Simplify the above equation to get the value of p,

Negative sign is eliminated from both sides,

5(p + 3/5) = 4

p + 3/5 = 4/5

Combine like terms,

p = 4/5 - 3/5

p = 1/5

Thus the value of p is 1/5 .

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Sue has one spin of the circular spinner shown below.
Two of the lines shown on the diagram are diameters of the circle.
BLUE
RED
GREEN
WHITE
YELLOW
The table below shows the probabilities of Sue obtaining YELLOW, WHITE and
GREEN with one spin of the spinner.
Complete the table.
Colour
YELLOW
WHITE
GREEN
RED
BLUE
Probability
0.2
0.18
0.12

Answers

Answer:

Colour | Probability

YELLOW | 0.20

WHITE | 0.18

GREEN | 0.12

RED | 0.18

BLUE | 0.32

Step-by-step explanation:

The complete question is presented on the attached image to this solution.

From the image of the spinner and the given probabilities, the combination of YELLOW, WHITE and GREEN make up exactly half of the total space on the spinner.

0.2 + 0.18 + 0.12 = 0.50

Then, BLUE and RED make up the other half of the spinner.

Probability of landing on either BLUE or RED = 1 - 0.50 = 0.50

Let P(BLUE) = x and P(RED) = y

x + y = 0.50

Two of the lines shown on the diagram are diameters of the circle.

The first line that is a diameter splits the circle into two parts; (WHITE, YELLOW, GREEN) and (RED, BLUE).

From here, we have established that x + y = 0.50

The other line that is a diameter splits The circle into two part; (WHITE, BLUE) and (YELLOW, GREEN, RED)

From this other information,

P(WHITE) + P(BLUE) = 0.50

0.18 + x = 0.50

x = 0.50 - 0.18 = 0.32

P(YELLOW) + P(GREEN) + P(RED) = 0.50

0.20 + 0.12 + y = 0.50

y = 0.50 - 0.32 = 0.18

To check, x + y = 0.32 + 0.18 = 0.50 (Correct!!)

Hope this Helps!!!

Given: BC ⊥ CA , Prove: m∠A+m∠B=90°

Answers

Answer:

With points A, B and C a right triangle is formed.

Given that BC ⊥ CA, then m∠C = 90°.

The addition of the angles of a triangle is equal to 180°, therefore:

m∠A + m∠B + m∠C = 180°

Substituting with m∠C = 90°:

m∠A + m∠B + 90° = 180°

m∠A + m∠B = 180° - 90°

m∠A + m∠B = 90°

At the end of the month, Bill had overdrawn his checking account and had a balance of -$163.22 . He deposited his paycheck of $988.56 on the first of the next month. What was Bill's balance after he deposited his paycheck?

Answers

Answer:

$825.34

Step-by-step explanation:

$988.56 - $163.22

$825.34

If someone can please help me with this question I’m stuck

Answers

Answer:

B 65 sq. units

Step-by-step explanation:

The area of a triangle is equal to base times height divided by 2

the base is 13 and the height 10

13 times 10 is 130. 130 divided by two is equal to 65

:

Step-by-step explanation:

Which expression entered into a graphing calculator will return the probability
that a data value in a normal distribution is between a z-score of -0.18 and a
Z-score of 1.99?
A. normalcdf(0.18, 1.99)
B. normalcdf(-1.99,0.18)
C. normalcdf(1.99, 0.18)
O
D. normalcdf(-0.18, 1.99)

Answers

The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)

How to determine the expression?

To calculate the probability between two z-scores is to calculate the area between the z-scores.

This is done using the following syntax:

normalcdf(lower bound, upper bound)

From the question, the lower and the upper z-scores are -0.18 and 1.99

So, the formula would be normalcdf(-0.18, 1.99)

Hence, the expression is (d)

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1. Now consider equations of the form , where a, b, and c are all positive integers and . (a) Create an equation of this form that has 7 as a solution and an extraneous solution. Give the extraneous solution. (b) What must be true about the value of to ensure that there is a real number solution to the equation? Explain.

Answers

a) To create an equation

X+X =7

so what's X over here is

7² = x²

X=3.5

b) Real numbers are mixture of irrational and rational numbers so √5 and √6 are irrational where as 5 and 6 are not but they two are equal to each other.

Explaining the equation:

√5 +√6 = √11

5 +6 = 11

√11 =11

√= 11 ÷ 11

√= 1

So if root is 1 then -1 is -√

this is the answer propably

Help me plzzzz plzzz

Answers

Answer:

1st Choice

Step-by-step explanation:

The fastest way to do this is by thinking of translations. If you are trying to move it left or right, it will be inside the cube root. If you want to move it vertically, it will be outside the root. In the graph, the child function is moving from the parent function to the right. This means we can eliminate choices C and D. We are left with A and B. A is the right choice because you take the negative of the direction you want to move in. Thus, you have your answer.

Answer:

A

Step-by-step explanation:

g(x)=∛(x-4)

Which of the following angles can be trisected using only a compass and straightedge?
A. 45⁰
B. 125⁰
C. 65⁰
D. 175⁰

Answers

Answer:

i believe it is c

Step-by-step explanation:

What is the difference between income elasticity for say automobile and income elasticity for farm product

Answers

Answer:

Step-by-step explanation:

plz mark me brainliest

income elasticity measures the responsiveness of income to changes in supply while price elasticity of demand measures the responsiveness of demand to a change in price. ... income elasticity refers to a horizontal shift of the demand curve while price elasticity of demand refers to a movement along the demand curve.

hope it helps

A line passes through the point (0,6) and is parallel to the line with the equation y =
1/5X - 5. What's the equation of the line?
O A) y = 1/5x + 6
OB) y = -5x + 6
C) y = 1/5* - 6
OD) y=1/5X

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

Parallel lines have equal slopes, thus parallel line has slope of [tex]\frac{1}{5}[/tex]

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = [tex]\frac{1}{5}[/tex] x + 6 ← equation of parallel line → A

the equation of the line that passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5 is y = 1/5x +6.

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given A line passes through the point (0,6) and is parallel to the line with the equation y = 1/5X - 5

Since the two lines are parallel to each other

thus, their slope would be equal

Slope intercept form of the Second line:

y = 1/5x + c

Given that line passes through (0, 6)

From above equation

6 = 1/5* 0 +c

Hence, c = 6

therefore, the equation of the line y = 1/5x +6.

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Why would it be inaccurate to consider family a bureaucracy? Detail the many ways family is NOT a bureaucracy, but name at least ONE feature of families that has some overlap with bureaucracies. Then provide one example of how bureaucracies sometimes allow unwritten rules to "overrule" written regulations. When 1760 is divided into 14 equal parts, the remainder is 10. What is a correct way to write the quotient? find the nth term of the following sequence4, 7, 12, 19, 28 a car travels 12 miles due north and then 12 miles due west going from town A to town B. The magnitude of the car's displacement is --- miles Based on this point and illustration, what is the best explanation?A.Odysseus and his men have to fight the urge to listen to the Sirens song.B.Odysseus must overcome the Sirens and their song by himself.C .Odysseuss crew is following orders by ignoring the Sirens song and continuing to row the ship.D.Odysseuss men follow his original orders to keep him tied no matter what he says. The picture shows a green parallelogram split into 8 equal parts and an orange parallelogram split into 4 equal parts. Drag figures to each box so that their total area is equal to the number given. A car increases, then decreases, its speed. 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In the original publication by Deal and Groove, they gave the following parameter sets for dry oxidation: Oxidation temperature in 'C A in um Bin um/h 1000 0.165 0.0117 1200 0.040 0.045 a)EXct and X, for A, B and B/A a) Use the given values for the parameters A and B in the table above, along with equation ?? to derive the activation energies EXd and zero temperature values X(T = 0 K) for all three parameters A, B and B/A. Then use this calculate the corresponding values of A,B, B/A for the following temperatures: 1000C, 1200C, 800C and 900 C. b) Plot estimates for other temperatures 2 points Use the obtained values from the previous sub-task along with the full Deal-Groove model equation for Z:(t) to plot the oxide thickness over time (0-100h) using at least 20 data points each for the following temperatures: 1000C, 1200C, 800C and 900 C. Assume Zo = Om. 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