Here is a sketch of a curve.
The equation of the curve is y = x2 + ax + b
where a and b are integers.
ol
The points (0, -7) and (7,0) lie on the curve.
Find the coordinates of the turning point of the curve.
Finish your answer by writing, Turning point at (... , ... )
+
Total marks: 4

Answers

Answer 1

Answer:

turning point: (-3 , -16)

Step-by-step explanation:

y = x² + ax + b    pass(0,-7)(7,0)

(0)² + 0*a + b = -7     b= -7

(7)² + 7*a - 7 = 0       7a = 42    a = 6

 y = x² + ax + b = y = x² + 6x - 7 = (x+3)² - 16

(h,k): vertex          equation: y = a(x-h)² + k

h = -3     k=-16


Related Questions

Match each of the equations with their corresponding graph

Answers

Answer:

equation a and graph E

equation b and graph a

equation c and graph b

equation d and graph D

Step-by-step explanation:

A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.

Answers

U can buy 5 fish hope it’s right
PLEASE MARK ME BRAINLEST

find the value of x and y (5y-23) (2x+13) (3x) 47​

Answers

Answer: I will tell you if you keep reading

Step-by-step explanation:

5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47

The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3

Answers

Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

What is mid point?

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

To know more about mid point formula, visit,

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What number is halfway between
1/5
and
4/15

Answers

Answer:

1/5+4/5

1×5/5+4×1/5

5/5+4/5

5+4/5

9/5

(9/5)/2

The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?

Answers

Answer:

if you use Newton's 2nd rule:

F = m* a (force = mass * acceleration)

you can rearrange the terms to:

a = F/m (acceleration = Force/mass)

which will let you solve for acceleration.

Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0

Answers

Answer:

the answer would be x=3,1

Answer:

After completing the square, we can say:

(x - 2)² = 1

If we solve for x, this tells us that x has a value of both 1 and 3.

Step-by-step explanation:

Given:

x² - 4x + 3 = 0

We can complete the square by adding 1 to both sides:

x² - 4x + 4 = 1

(x - 2)² = 1

We can then solve for x by saying:

(x - 2)² = 1

x - 2 = √1

x = 2 ± 1

x = 1, 3

Evaluate 4^0×x^-5 when x=2 .

Answers

Answer:

1/32

Step-by-step explanation:

Anything to the power of 0 is 1.

1*x^-5 (negative power means the reciprocal)

1/2^5 = 1/32

1*1/32=1/32

When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.

First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.

Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.

Substituting x = 2, we have 1 / 2⁵.

Now, we can simplify the expression:

1 / 2⁵ = 1 / 32 = 0.03125

Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

To learn more about the exponents;

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What is the slope of the line shown in the graph?

−1
−2
negative 1 over 2
2

Answers

Answer:

Slope = -2

Step-by-step explanation:

y2-y1/ x2-x1

Find the slope (rate of change) from the table. Simplify if necessary.
X
1
2
3
4
у
-3
-9
-21
-15​

Answers

Answer:

i think it would be 2 because its in the middle of the slope and it would make scence

Step-by-step explanation:

what is the length of line segment FH?

Answers

22-15= 7

the answer is 7

Find the missing dimension of a triangle with a base of 14.2 yd and a area of 63.9 yd

Answers

Answer:

7.78

Step-by-step explanation:

first you need to divide both numbersthen you nullify the sumyv6bgu6g6ogi5 baka

PLS HELP!!!!!!Which of the following tables represents the relationship between the circumference and diameter of a
circle?

Answers

Answer:

itanong mo kay kapatid na arlene

It is D. If you multiply D by 3.14 and it matches the C, it is the right one. So it is D

Square root of -8 multiplied by the square root of -32

Answers

The answer is -16 hope that helps

Is the relation a function?? Plzz helppp!!!

(1,19) , (2,23) , (3,23) , (4,29) , (5,31)

Answers

Answer: no

Step-by-step explanation: if the y values are the same they are not functions. :) (ps, x values can be the same in a function!)

Answer:

no :)

Step-by-step explanation:

because (2,23) and (3,23) have the same y function

hope this helps!

(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?

Answers

Answer:

Please refer to the attached image.

Select the expression that shows the application of the distributive property for

9(t - 5)
a
9t + 14
b
9 + t + 9 + 5
c
9t + 45
d
9t - 45
PLEASE HELP ME!!!

Answers

Answer:

c. 9t+45 that shows distributive property

where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5

When solving the inequality 3x - 2 < 8x + 10, the next line
becomes 3x < 8x + 12. Which property justifies this step?
(1) Distributive
(2) Associative
(3) Multiplicative Property of Equality
(4) Additive Property of Equality

Answers

The answer is 3 hope this helps

Write an equation of the given line that passes through the given point and has the given slope m
(-3,-11);m=1/2

Answers

y=mx+b
solve for b
-11=-3*1/2+b
-11=-1.5+b
b=-11+1.5
b=-9.5

- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.

Answers

Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

What is the slope of the function?

Answers

Answer:

-4

Step-by-step explanation:

as x goes up one y goes down 4

slope is change in y over change in x

-4/1=-4

The slope of the linear function represented by the table is -6.

To find the slope of the linear function represented by the table, we can use the formula for slope:

Slope (m) = (change in y) / (change in x)

Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):

(change in y) = -16 - 2 = -18

(change in x) = 2 - (-1) = 3

Slope (m) = (-18) / (3) = -6

Therefore, the slope of the linear function represented by the table is -6.

To know more about linear function:

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7a + 4- 2a = 7a +- 2a + 4=
. 5a
. 0
. -5
. 5a+4

Answers

Step-by-step explanation:

0 would be your answer

first you combine like terms and get 5a+4 on each side then you have to solve the equation.

Whats the opposite of 8x​

Answers

Answer:

-8x

Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

plzz help ASAPPPP
i need answers right now!!1

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Answer:

ydyeheuuru u ieuegeoeororpe

1. 36.19 to the nearest tenths

Answers

Answer:

36.2

Step-by-step explanation:

Answer:

36.20

Step-by-step explanation:

it's basiclaly another word for 1 decimal place. 9 is bigger than 5 so it rounds 1 to 2.

x + 7 = 12
i'm lost pls help me

Answers

Answer:

5

Step-by-step explanation:

12 - 7 = 5

x= 5

.....................................

Decide whether n = 9 is a solution to
the equation 2+n=7. Write yes or no

Answers

Answer:

No. The answer would be n=5

Step-by-step explanation:

You have to subtract the 2 from both sides to cancel it out on the left side. so you would be doing 7-2, not 7+2

Lateral surface area of this gift box

Answers

I think it’s letter C

PLEASE HELP ME I BEG OF YOU

Answers

= d+5+d+5+d+5+d+5

= 4d+20

=4(d+5)

I hope this helps☺️

The lines shown below are parallel. If the green line has a slope of 5, what is

the slope of the red line?

A: -5

B: 5

C: -1/5

D: 1/5

Answers

Answer:

5

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

since the slope of the green line is 5, the the red line will have the same slope as the green line,

The slope of the red line will therefore be 5

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