Consider the quadratic function.
f(x)=x^(2)+2x-15
If the line of symmetry of the function is located at x=N, what is the value of N?
HELP ASAP

Answers

Answer 1

Answer:

N = -1

explanation:

x = N

solving steps:

[tex]\sf f(x)=x^2+2x-15[/tex]

To find symmetry of a quadratic function.

                                                                   vertex formula    :   [tex]\sf x=\dfrac{-b}{2a}[/tex]

[tex]a=1,\:b=2[/tex]

[tex]\sf x=\dfrac{-2}{2\cdot \:1}[/tex]

[tex]\sf x = -1[/tex]

Then,

N = -1


Related Questions

Which graph represents the function f(x) = |XI – 4?

Answers

Answer:

The graph that is correct is just like the top one that shows on the picture you shared, but instead of being on positive 4 it is on -4

Step-by-step explanation:

4x — 3 = 6х - 7
i need it now

Answers

Answer:

x = 2

Step-by-step explanation

4x - 3 = 6x - 7

     +7          +7      Adding seven so we can isolate on the Xs

4x + 4 = 6x

-4x         -4x             Once again, trying to isolate the X

4 = 2x

/2x                 Divide by 2

2 = x

Thank you for your help please help thanks

Answers

Answer: 147m²

Step-by-step explanation:

the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?

Answers

Answer:-6°

Step-by-step explanation:

-3° the first hour -6° the next

The answer would be -6 degrees .


Chrissy has some ribbon in her craft room. She has 3/8 yards of purple ribbon and 1 yard of green ribbon.
Chrissy has a total of 3 yards of ribbon.
How many yards of Chrissy's ribbon are neither purple nor green?

Answers

The number of Chrissy's ribbon which are neither purple nor green is 1 5/8 yards

How to calculate Chrissy's ribbon which are neither purple nor green?

Purple ribbon = 3/8 yardsGreen ribbon = 1 yardTotal yards of ribbon = 3 yards

Ribbon which is neither purple nor green = Total - (purple + green)

= 3 - (3/8 + 1)

= 3 - (1 3/8)

= 3 - 11/8

= (24-11) / 8

= 13/8

= 1 5/8 yards.

Learn more about fraction:

https://brainly.com/question/2929160

Which of the following best explains why one graph appears skewed and one graph appears symmetrical? The scale of the box-and-whisker plot does not start at zero. The interval of the box-and-whisker plot is too large. The interval of the stem-and-leaf plot is not consistent. The scale of the stem-and-leaf plot is too small for the set of data.

Answers

The statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.

What is a symmetric distribution?

A symmetric distribution oftenly refers to the distribution which looks symmetric about a fixed line.

For this case, the missing image is attached below.

The stem leaf plot represents the considered bar plot.

But stem leaf plot seems symmetric whereas the box plot isn't.

This is because the stem and leaf plot is missing '5' in its stem, making the interval inconsistent.

Doing inconsistant graphing isn't allowed as that represents distorted data, as for this case, the data seems symmetric when it isn't.

Thus, the statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.

Learn more about box plot here:

https://brainly.com/question/1523909

Answer:c edge

Step-by-step explanation:

Factor completely 4xy−24y−x+6

Answers

4xy-24y-x+6
(4xy-24y)(-x+6)
4y(x-6) -1(x-6)
(4y-1)(x-6) is the factored form

How long is 10% of a 24-hour day?

Answers

2.4 hours

Ten percent is ten per every hundred, that is ten percent is Thus ten percent of 24 hours is 0.10 \times 24 = 2.4 hours.

Answer:

2.4 hours

Step-by-step explanation:

24÷10=2.4

Find the distance between the points (-5,-3) and (0,9). Round your answer to one decimal place, if necessary.

Answers

√(0+5)^2+(9+3)^2. …two negatives make a positive so that’s how both 3 and 5 got flipped to positive.


√ 5^2+(9+3)^2. Remove the 0 since 5+0=5

√25+12^2. Evaluate

√ 25+134. Then just add

√ 169. Evaluate

13 is the answer

Select the correct answer.

Function f is an increasing exponential function that is negative on the interval (-∞, 2) and positive on the interval (2, ∞). Which could be the graph of function f?

Answers

Answer:

A.

Step-by-step explanation:

The interval values given are the values of x.

We see that on Graph A, to the left of  x = 2 the graph is below the x-axis ( negative values of f) and to the right the values of f are above the x-axis (positive f).

Answer:

A :)

Step-by-step explanation:

I just tokk the test!

Which number does point A represent?
А
-3
-2
to
2
Loi
0 -3.5
3
y-2.5
0 2.5
03.5

Answers

Answer:

A represents -2.5.......

Answer:

-2.5

Step-by-step explanation:

<------3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3 ---->

When it's negative on the number line the value of a number gets smaller. When it's positive the value gets bigger.

I hope this helps!

Good afternoon, please help me with this question and if u get it correct ill give u the brainlest

Answers

Answer:

3/4

Step-by-step explanation:

In total there are 8 cobblers and 6 out of those 8 are apple cobblers so the fraction would be 6/8 but in simplest form its 3/4.

What are the new coordinates of Point R after a 90 degree clockwise rotation?

Answers

Step-by-step explanation:

P(-4,-1)======P'(-1,4)

Q(-4,-3)=====Q'(-3,4)

R(-2,3)======R'(3,2)

Which decimal is equivalent to 41/100?​

Answers

Answer:

I believe its 0.41

Step-by-step explanation:

not 100% sure

hope this helps and is the correct answer : )

I’m stuck, HELP

3(6) + 4(2)^3 - 5

Answers

Answer:

45

Step-by-step explanation:

Lets split the problem then add/subtract at the end

3 x 6 = 18

Due to Order of operations we do 2^3 first then multipy by 4

so 2^3 = 8 Then we do 8 x 4 = 32

Now we add/subtract

18 + 32 - 5 = 45

45 is the answer

Answer:

45

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtration

[tex]3(6) + 4(2)^3 - 5 < ==multiply\ the\ exponents\ first\\\\18+4(8)-5 < ==multiply\ first\\\\18+32-5 < ==addition\ before\ subtraction\\\\50-5 < == subtract\\\\45 < == final\ answer[/tex]

Hope this helps!

Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?

a.0
b.1/2
c.2.5
d.4

Answers

Answer:

a. 0

Step-by-step explanation:

Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?

Our inequality:

8g < 4

Substitute each values from the set {0, 12, 2.5, 4} for g, to find which value makes the inequality true.

For 0:

8g < 4

8(0) < 4

0 < 4

This statemen is true, because 0 is less than 4

For 12:

8g < 4

8(12) < 4

96 < 4

This statemen is false, because 96 is NOT less than 4

For 2.5:

8g < 4

8(2.5) < 4

20 < 4

This statemen is false, because 20 is NOT less than 4

For 4:

8g < 4

8(4) < 4

32 < 4

This statemen is false, because 32 is NOT less than 4

Hope this helps!

10k^10/8k^4 simplify ???

help!!!

Answers

(5/4)k^6 cuz rules of exponents and fractions.
If you have further questions please feel free to ask!

Hello, the point (-2,k) lies on the line. Determine the value of k. please answer this. ty

Answers

Answer:

0

Step-by-step explanation:

This problem is impossible if the x value is -2. However, if the x value is 2, find where the line meets x=2 and record the y value.

How do I find the area of the shaded and none shaded regions?

Answers

Answer:

96 for both

Step-by-step explanation:

You can see that each region is equal because it is half. 8*12=96. (96/2)*2= Shaded region. 96

So that means the unshaded region is also 96.

Answer:

Find the area of the whole shape, then find the area of the shaded area (which is 2 triangles *).
after that, just minus the area of the shaded areas from the area of the whole shape...

Total Area = Lenght x Width... (16 x 12)
Area of triangle 1 = 1/2 x Base x Height.... (1/2 x 12 x 8)

Area of triangle 2 = 1/2 x Base x Height.... (1/2 x 12 x 8)

Area of Shaded Region = A of T1 + A of T2

Area of Non-Shaded Region = Total Area - Area of of Shaded Areas

Step-by-step explanation:

One bag of alice's trail mix contains 40 grams of almonds and 30 grams of raisins.
0
almonds
raisins
(g)
0
complete the double number line to show the other values of almonds and raisins.
choose 1 answer:
0 40
80 120 160
almonds

Answers

Answer:

A

Step-by-step explanation:

I guessed and it was right.

Answer:

B

Step-by-step explanation:

find the area of a triangle 4cm height 6cm base

Answers

Answer:

12cm²

Step-by-step explanation:

Area of triangle =1/2×h×b

1/2×4×6

2×6

12cm²

hope dis helps!!!!!

Work out the value of x

2x



7x

this is a Co-intirior angle

Answers

Step-by-step explanation:

The sum of co-interior angle = 180°

Now,

2x + 7x = 180°

9x = 180°

x = 180° ÷ 9

x = 20°

Answer:

x = 20

Step-by-step explanation:

Co-interior angles (also called same-side interior angles) are two angles that are on the same side of the transversal and on the interior of (between) the two parallel lines.

Same-side interior angles theorem:  If two parallel lines are cut by a transversal, then the same side interior angles are supplementary (add up to 180º).

Therefore, if 2x and 7x are co-interior:

⇒ 2x + 7x = 180

⇒ 9x = 180

⇒ x = 20

To build a snowman, Victor made three snowballs with diameters of
1

meter (m),


1
.
5

m,
and
2
m.
To the nearest cubic meter, what is the total volume of snow used in the snowman?

Answers

Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.

What is the volume of an sphere?

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:

[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]

[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]

[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]

The total volume, in cubic meters, is of:

V = 4.19 + 104.72 + 16.76 = 125.67.

Rounding, the total volume of snow used in the snowman is of 126 m³.

More can be learned about the volume of an sphere at https://brainly.com/question/25608353

Sarah fills her 13-gallon gas tank at Megamart for $45.50. Motoplex is selling gas for $3.56 per gallon. Which has a higher unit price for a gallon of gas?​

Answers

Answer: Motoplex

Step-by-step explanation:

The question states that Sarah fills her tank with 13 gallons at Megamart for $45.50. What I did was, I divided $45.50 by 13 to see how much 1 gallon would cost $3.50. Motoplex sells gas for $3.56. As you can see, if you pay $45.50 you will be saving $0.06 on gas

A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?

Answers

The piecewise function that models the scenario is:

c(x) = $3.75*x + $5   if x < 6

c(x) = $3.25*x + $5  if x ≥ 6.

How to write a piecewise function?

A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.

The function in this case, if we define x as the number of boxes bought, is:

c(x) = $3.75*x + $5   if x < 6c(x) = $3.25*x + $5  if x ≥ 6.

Where the cost per box changes for x equal or larger than 6.

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123

Write 9/20 as a decimal number

Answers

Answer: 0.45

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

0.45

Why?
Because it’s 9/20 as a decimal number

Hope this helped!!!

A toy bin contains 12 yellow balls,3 orange balls,and 5 white balls. What is the probability of selecting an orange or a white ball?


A. 3/80


B. 3/20


C. 1/4


D. 2/5

Answers

Answer:

D. 2/5

Step-by-step explanation:

Your would add the entire amount of balls in the toy bin. 12+3+5 which equals 20. You would then add the number of white and orange balls 3+5. You would then have 8/20 which simplified is 2/5

3) 18 mm
4mm

4) 11 in
19 in

5) 5 mi
11 m

Answers

Answer:

3= perimeter=44 area=73

4= perimeter=60 area=209

5= perimeter=32 area=55

Step-by-step explanation:

18x4=72

18+18+4+4=44

11+11+19+19=60

11x19=209

5x11=55

5+5+11+11=32

Juwan and his friend Jamie are watching their favorite tech penny stocks in the stock market. The initial value of Jamie’s stock was $4.00, while Juwan’s stock’s initial value was $0.00. Because of some incredible turns in the market this morning, the stocks are now increasing in value. Every time Juwan’s stock rises by $4.00, Jamie’s stock increases by $3.00. If these stock gains remain constant throughout the day, perform the following:

a. Convert this scenario into two linear equations; show both the standard form and the slope-intercept form for both equations.
b. Explain how you decided to label the axes.
c. What are the realistic bounds for the domain and range of today’s stock gains? Explain your answer.
d. Does this scenario imply correlation or causation? Explain your answer.

Answers

i think it’s a if not i’m sorry

Linear equations in slope intercept form for the given scenarios:

Juwan: y = 4x + 4

Jamie: y = 3x

Linear equations in standard form for the given scenarios:

Juwan: y - 4x = 4

Jamie: y - 3x = 0

Where, y = current stock value and x = number of times the stock value increased.

Domain: Set of natural number.

Range: Real number greater than or equal to 0.

This scenario is an example of causation.

What is standard form of line?

The standard form of a line is Ax + By = C, where A and B are not both zero.

In the given scenario, we take

y =  the present stock value of Jamie and Juwan.

x = number of times the stock value increased.

where, y depends upon x.

Juwan: y - 4x = 4

Jamie: y - 3x = 0

What is slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Juwan: y = 4x + 4

Slope = 4

y - intercept = 4

Jamie: y = 3x

Slope = 3

y - intercept = 0

What is domain and range?

The domain is the set of all the input values of a function and range is the possible output given by the function.

In this particular question, x is the number of times stock price increased. Thus, it can be 0, 1, 2, 3....set of natural number. y is the current stock price. The stock price was positive in the beginning and has been increasing since then, therefore y lies in the set of positive real number.

What is causation?

Causation means that one variable causes another to change, which means one variable is dependent on the other. Here, the price of stock depends upon the number of times its value increased.

Learn more about causation here

https://brainly.com/question/10971583

#SPJ3

3) A rectangular piece of land measures 780 m by 550 m.
Work out the area of the land in:
a square metres
b hectares.

Answers

Area = Length x width
A = L x W

a. A = 780 x 550
=429000 m2

b. If 10000m2 = 1 ha
Then 429000 = 429000/10000
= 42.9 ha
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