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

60% of the students in the marching band are girls there are 30 girls in a marching band how many students are there altogether?

Answers

Answer: 50

Step-by-step explanation: 60 divided by 30= 2 this means that 1 kid equals two percent 100 percent minus 60 percent= 40 percent 40 divided by 2= 20

20 plus 30= 50 so 50 kids are in the marching band

what is 15.009 rounded to the hundredths

Answers

Answer:

15.01

Step-by-step explanation:

The second place to the right of the decimal point  the hundredths.

9 rounded would be to 10. You just put the 1 in the  place of the hundredths.

Answer:

15.01

Step-by-step explanation:

                               BASIC RULES FOR ROUNDING

Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.

If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

Charlie and David collect baseball cards. Charlie has 26 cards and David has 10 more than Charlie. How many cards does David have?

Answers

Simple 26+10=36 baseball cards... PLEASE MARK ME BRAINLEST

5 1/2 candle burn down in 11 hours

Answers

-5.5 i think if i’m wrong sorry but good luck :)

Neil places £2,000 in a bank account that pays 1.5% simple interest per year.
How much interest will he earn in 6 years?

Answers

Answer:

He will earn £186.89 interest

Step-by-step explanation:

final = original x multiplier^n

final = 2000 x 1.015^6

final = 2186.886528

Interest = final - original

Interest = 186.8865

HELP PLEASE I'll mark you brainliest
What problem did Americans face at home as the War of 1812 developed on the seas?
a shortage of American goods
strained relations with American Indians
challenges of settling untamed lands
a divided government

Answers

The answer is the first one . A

The correct answer is A

What is 5/6 of 18? Its a fraction. ​

Answers

Answer:

Step-by-step explanation:

5/6 x 18 = 5 x 18/6 = 5x3 = 15

The requried, fraction 5/6 of 18 is equal to 15. In other words, if you take 5/6 of 18, you get 15.

To find 5/6 of 18, we set up the expression as follows:

(5/6) * 18

To multiply a fraction by a whole number, we simply multiply the numerator (the top number) of the fraction by the whole number. The denominator (the bottom number) remains the same. In this case, we have:

(5 * 18) / 6

Now, we multiply the numerator 5 by the whole number 18:

5 * 18 = 90

So, we have:

(90) / 6

Simplify the fraction.

To simplify the fraction, we divide the numerator (90) by the denominator (6):

90 / 6 = 15

Therefore, 5/6 of 18 is equal to 15. In other words, if you take 5/6 of 18, you get 15.

Learn more about fractions here:

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The value of x is -1/4. Order these expressions from least to greatest:
x; 1 – X; x– 1; -1 divided by x

Answers

-1 divided by x
1 - x
X - 1

the mean of two numbers is 7.
the range of these two numbers is 8.

what are these two numbers?

Answers

Answer:
11 and 3

Explanation:
11 + 3 = 14
14 / 2 = 7
Mean = 7

11 - 3 = 8
Range = 8

The unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

What are mean?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

The range of a given set of data is defined as the difference between the largest value and the smallest value.

Given that the mean of two numbers is 7 and the range of these two numbers is 8.

Let the pair of number be 11 and 3

11 + 3 = 14

14 / 2 = 7

Mean = 7

Also, the difference between the numbers are;

11 - 3 = 8

Range = 8

Therefore, the unknown two numbers are 11 and 3 where the mean of two numbers is 7 and the range of these two numbers is 8.

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Please help picture attached.

Answers

Answer:

12

Step-by-step explanation:

Think of this as a normal calculation at first.

Just focusing on the numbers themselves (not the roots) let's do the calculation.

8 × 18 = 144

Let's put the square roots back into play.

√144

And we know what the square root of 144 is (12).

Translate each sentence into an equation.
Five more than three-fourths a number is -19. (Solve after please!)

Answers

Step-by-step explanation:

3/4x+5=-19

       -5   -5

3/4x=-24

/ 3/4 / 3/4

x=-32

hope it helps! :3 let me know if you need help with other algebraic equations!

what is 6+5+3x54+375

Answers

Answer: 548 but if you meant to put an x instaed of * it'll be 3x^54+386

Step-by-step explanation:

Answer:

i think 548 or 21

Step-by-step explanation:

GIVING 50 POINTS TO ANSWER. PLS ANSWER ASAP. I MARK BRAINLIEST.

Answers

Answer:

you can do it !! .. here's how

Step-by-step explanation:

slope = rise / run

pick any two coordinates that the line goes through

set up the equation using the y - coordinates at the top and the x- coordinates on the bottom

subtract the two y - coordinates and then the x-coordinates

then you will get your answer.

hope this helps

Help I need help Hurry please

Answers

Answer:

divide by 105 lol.

Step-by-step explanation:

1500/105.... just plug n in, n = 105

Answer:

A $14.29

Step-by-step explanation:

d = 1500/n

d = 1500/105

d = 14.2857..

d = $14.29

(4x2 – 3x + 2) - (x - 5)(x + 5)+ 6x?

Answers

Answer:

The answer is 3x^2 + 3x + 27

Step-by-step explanation:

Simplify the expression.

hoped this helped!

brainly, please?

Which best describes the relationship between the two triangles below?
M
51°
N
F
51
H Н
36
369
G
O AMLN-AFGH because of the third angle theorem. ZM ZF ZL ZG, and ZNE ZH.
AMIN may or may not be similar to AFGH because the third angle is unknown.

Answers

Answer:

It’s the bottom answer.

Step-by-step explanation:

hope I helped

The corresponding angles of the triangles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In triangle ΔLMN, the measure of the third angle is calculated as,

∠N + ∠M + ∠L = 180°

∠N + 51° + 36° = 180°

∠N = 93°

In triangle ΔFGH, the measure of the third angle is calculated as,

∠H + ∠F + ∠G = 180°

∠H + 51° + 36° = 180°

∠H = 93°

In triangles ΔFGH and ΔMLN, the corresponding angles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

More about the triangle link is given below.

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Based on the spinner shown, what is the probability of the next spin landing on a vowel?
A
Ή
B
с
F
D
E
Done-

Answers

Answer:

Step-by-step explanation:

Here is the spinner, and the answer would be 1/4.

The probability of the next spin landing on a vowel is 2/7.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A spinner labeled A, H, B, C, F, D, and E.

We know, The ratio of favorable events to unfavorable events for a given event is known as the odds in favor.

The total number of letters is 7 and the number of vowels is 2.

Therefore, The probability that the spinner will land on a vowel is,

= 2/7.

learn more about probability here :

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Which value of k can be multiplied by -8 resulting in a product smaller than -8? A. 1/4. B.4. C.-4. D.-1/4

Answers

Answer:

B.) i think

Step-by-step explanation:

A man drive 250 miles on 2.5 hours.if the posted speed limit was 75 mph the entire way, approximately how many miles per hour over the speed limit was he going

Answers

Answer:

He was going 25 miles over the speed limit.

Step-by-step explanation:

250 miles in 2.5 hours is 250/2.5. That equals 100

100-75=25

pls help me it will make my day because, this is due tomorrow and I don't want to fail. no one helps me ❤️

Answers

The slope is 2. Divide rise/run

Answer:

The slope is 2

Step-by-step explanation:

To solve for slope, it's: y2-y1/ x2-x1.

The points can be (1,0) and (2,2) since they intersect with the slope.

You plug the points into the equation which is 2-0/ 2-1.

This will give you 2/1 or just 2.

Or you can just do rise over run. The slope is going up by 2 and across by 1.

what is the LCM of 6, 17 and 34

Answers

Answer:

102

Step-by-step explanation:

Answer:

It's 102

Glad to help! Your welcome.

A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow? Do not include units (yards) in your answer. Modified from EngageNY ©Great Minds Disclaimer

Answers

Answer:

2/5 yards of fabric

Step-by-step explanation:

A total of 2 yards of fabric is used to make 5 identical pillows. How much fabric is used for each pillow?

5 identical pillows = 2 yards of fabric

1 pillow = x yards

Cross Multiply

x yards × 5 pillows = 2 yards × 1 pillow

x yards = 2 yards × 1 pillow/5 pillows

x yards = 2/5 yards of fabric

Therefore, 2/5 yards of fabric was used for 1 pillow

53 + 4(121 -1) - 120

Answers

Answer:

Step-by-step explanation:

using the pemdas method

121-1= 120

57*120= 6840-120= 6720

Work out 3/4 + 4/7 what is the answer to this question

Answers

Answer:

1 and 9/28

Step-by-step explanation:

you need to put everything over the same denominator

21/28+16/28=37/28

this can be written as  1 9/28

El triple del cuadrado de un numero es igual a 6 veces ese numero cual es el numero que satiface el problma

Answers

Answer:

El numero es 2

Step-by-step explanation:

Sea x el número.

A partir de la pregunta, la expresión se puede representar matemáticamente como:

[tex]3x ^ 2 = 6x[/tex]

Divide ambos lados de la expresión por x

[tex]\frac{3x ^ 2}{ x} = \frac{6x }{ x}[/tex]

[tex]\frac{3x ^ 2}{ x} = 6[/tex]

[tex]3x = 6[/tex]

Divide ambos lados de la expresión por 3

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

Por tanto, el número es 2


Find the equation of a line that passes through the point (4,2) and has a gradient of 5.
Leave your answer in the form y = mx + c

Answers

Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

In our case, we are given

m = 5Point (4, 2)

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

A tree casts a shadow of 28 feet. At the same time, a biologist who is 7 feet tall casts a shadow of 2 feet.
How tall is the tree?
O 8 feet
78 feet
14 feet
98 feet

Answers

Answer:

Step-by-step explanation:

7/2 = t/28

t = 98 ft

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base.  The height of the tree is equal to 98 feet.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Using the tangent function of the trigonometry, we can write the ratio of the height to the base will be equal because the angle of sun rays is the same for both.

Height of Tree /Shadow of Tree = Height of the biologist / Shadow of the biologist

Height of the tree/ 28 = 7/2

Height of the tree = (28×7)/2

Height of the tree = 98 feet

Hence, the height of the tree is equal to 98 feet.

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Why is 40x-16 not equivalent?
Please help (i’m in 7th grade)

Answers

Answer:

40x-6 is not equivalent because 16 is not a multiple of 40

Step-by-step explanation:

if you write the multiples of 4o you will see that 16 is not one of them so that means 40x-16 is not equivalent

Plz help me so I don’t fail

Answers

Answer:

B

Step-by-step explanation:

below 0 is negative

so -15

In My Knowledge

Option B. -15°

FITNESS CLASSES Toshelle wants to take strength training classes at the community center. She has to pay a one-time enrollment fee of $ 25 to join the community center, and then $ 45 for each class she wants to take. Write an equation in slope-intercept form to represent the cost of taking x classes.

Answers

Answer:

y = 45x + 25

Step-by-step explanation:

Slope-intercept equation/form:

y = mx + b

________________________

x is the amount of classes that Toshelle will take and each class costs $45.

So, you multiply them by one another to get:

45x

_________________________

Additionally, there is a one-time payment of $25.

So, you add 25 to the cost to get:

+25

__________________________

y is the total amount of money Toshelle has to pay.

Therefore, you place 45x and +25 into a slope-intecept equation/form to get:

y = 45x + 25

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