The zeros of the quadratic x^2+4x=-2x+16 are x=-8 and x=2. What does this tell you about the graph of this quadratic function?

a. The parabola crosses the x-axis at x=-8 and x=2.
b. The parabola touches the x-axis only at and x=2.
c. The parabola does not touch or cross the x-axis.
d. The parabola crosses the x-axis at x=-8 and x=2 but you can ignore the zero x=-8 because it is negative.

Answers

Answer 1

The graph of the quadratic function x²+4x=-2x+16 is a parabola that crosses the x-axis at x=-8 and x=2. Correct option is (a).

What are zeros and graph of an quadratic equation?

Let ax² +bx +c = 0 is an quadratic equation its zeroes are the values of x for which the Left hand side becomes zero.

To find zeroes we can use quadratic formula that is

x = (-b ±√(b²-4ac))/2

Graph of the quadratic equation are points ( x , y(x) )

where y(x) =  ax² +bx +c

when x= t is zero of quadratic equation ax² +bx +c = 0

then y(t) = 0

(t, 0) points are points on the x-axis.

Given an quadratic equation

x²+4x=-2x+16 has roots x =-8 and x =2

This can we written as  x² +6x -16 =0

The graph of  this quadratic equation is given by (x, y(x))

where y = x² +6x -16 which is a parabola

for x= -8 and x= 2 , y(-8) =y(2) = 0

Then (-8,0)  and (2,0) are points on this parabola which are at x-axis

Therefore, the parabola y = x² +6x -16  crosses the x-axis at x=-8 and x=2.Thus (a) is the correct option.

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Related Questions

explain how you know that the two triangles have the same area.

Answers

“Congruent” means same three sides and three angles. If two triangles are congruent, they have the same area. But two triangles can easily have the same area, and have different angles and sides. For example, a 3/4/5 right triangle has area = 6.

Answer:

Step-by-step explanation:

i

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

Answers

Answer:

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Figure 3
62°
144 what is the angle measure in degrees for thr missing variable x in figure

Answers

It would be 90 degrees because of the angle

The value of the angle x is equal to 98°.

Given that the figure attached below.

To find the angle x, follows sum steps as:

Draw one parallel line between the given parallel lines with intersect the point x.

By linear sum,

Angle 1 on below parallel line is 180° - 144° = 36°.

Angle 2 is equal to angle 1, that is, angle 2 is equal to 36°.

Angle 3 on centre parallel line is equal to 62°.

So, the angle x is calculated as:

x = Angel 2 + Angle 3

x = 36° + 62°

x = 98°

Hence, the required angle is equal to 98°.

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There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several
weeks later, the overall change in the water level is found. The results are shown in the table. What
is the range of the data?
Changes in Amount of Water (gallons)
-0.3 - 1.2 - 1.3 2.6 2.5 -0.7 0.8 -0.8 2.7 2.9
The range in the change of the amount of water is
gallons

Answers

Answer: 3.2

Step-by-step explanation: you need to take the maximum minus the minimum

2.9 - (-.3) = 3.2

given the y-intercept of (0,19) and the slope of 2/3 write a linear equation

Answers

Answer:

y = (2/3)x + 19

Answer:

y=2/3x + 19

Step-by-step explanation:

2/3 is gradient and at x=0 y=19 giving that constant value

What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
PLEASE HURRY !!

Answers

Answer:

y= -1/2x-6

Step-by-step explanation:

7 Indira has 300 blue beads, 750 red beads and 900 silver beads. She threads these beads to
make wire bracelets. Each bracelet must have the same number and colour of beads. What
is the maximum number of bracelets she can make with these beads? helpppppppp​

Answers

Answer:

6, I believe?

Step-by-step explanation:

300/6=50

750/6=125, and

900/6=150, so I think it's 6 bracelets, if i'm wrong you can call me dumb.

Indira can make the 150 maximum number of bracelets.

Given that, Indira has 300 blue beads, 750 red beads and 900 silver beads.

We need to find what is the maximum number of bracelets she can make with these beads.

What is the greatest common factor?

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder. To calculate GCF, there are three common ways- division, multiplication, and prime factorization.

Now, 300=2×2×3×5×5

750=2×3×5×5×5

900=2×2×3×3×5×5

So, GCF of 300, 750 and 900=2×3×5×5=150

Therefore, Indira can make the 150 maximum number of bracelets.

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what is the 9th term in the sequence -1, 4, -9, 16, -25,...?​

Answers

Answer:

-81

Step-by-step explanation:

looks like they're doing perfect squares inversed..

so it'd go from -1,4,-9,16,-25,36,-49,64,-81

The answer above is correct my dude!

Can someone help ???

Answers

Answer:

B) 5/4

Step-by-step explanation:

when u multiply

100 x 5/4 you get 125

Answer:

5/4

Step-by-step explanation:

the answer is 5/4

100*5=500

500/4=125

Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.

Answers

Answer :

m = 3

Point = (4,-1)

x1 = 4

y1 = -1

Formula =

y - y1 = m (x-x1)

y - (-1) = 3 (x -4)

y + 1 = 3x -12

y - 3x + 1 + 12 = 0

y - 3x + 13 = 0

The line = y - 3x + 13 = 0 or -3x + y + 13 = 0

I'm sorry if I'm wrong.

Cmiiw

Good luck

Love from Indonesia

y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=3

We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)

-1=3(4)+b

-1=12+b

-1-12=b

b=-13

y intercept is -13

Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

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(AICE MATH) i need help please

Answers

Answer:

How can i help?

Step-by-step explanation:

THe ratio of goldfish to gallons of water is 7 to 2 how many gallons of water do you need to keep16 fish

Answers

Answer:

56

Step-by-step explanation:

7:2    16/2=8   8(7)=56

In 2009, Usain Bolt set the world record for sprinting 100m in approximately 9 3/5 seconds.

​Find his average speed in meters per second.

Answers

Answer:

10 5/12 is the answer, hope this helps

Answer:

125/12 meters per second.

Solve the following compound inequality
-3 < x +7 <10

Answers

Answer:

x > -10

x < 3

Step-by-step explanation:

separate into two inequalities

x+7> -3      

x+7<10

x + 7 -7> -3  + -7

    x > - 10

x + 7 -7 < 10 + -7

     x < 3

Calculate 3 over 4 ÷ 5 1 fifth

Answers

Answer:3/20

Step-by-step explanation:

3/4/ 5/1

3/4 x 1/5 =3/20

The answer is 2/20 :))).

can someone please help me?

Answers

Answer:

44 degrees

Step-by-step explanation:

Triangles ABC and DBC are congruent (as said in the question), that would make the corresponding parts of the two triangles congruent.

Answer:

Angle D = 44° (degrees)

Step-by-step explanation:

given that ∆ABC is congruent to ∆DBC, AB = 10, and Angle A = 44°. Angle D must be 44° as well since you can tell that angle abc is 88° and is not a right angle, and due to the corresponding parts. You can also think about these triangle as angles since angle abc = angle dbc. The other angles can be calculated using the triangle sum theorem since both triangles share side bc so angle acb and dcb are right angles(90°)

therefore 180-(44+90) = 46° which the measure of angles abc and dcb.

This measure would only make it true because of triangle congruency.

What is the equation of the line that passes through the point (-5, 2) and has a
slope of 4/5 ?

Answers

Answer:

y - 2 = 4/5(x + 5)

Step-by-step explanation:

Well, the equation format your question is asking for is Point-slope form which is represented by:

[tex]y - y^{1} = m (x - x^{1})[/tex]

[tex]y^{1}[/tex] = y in point

[tex]x^{1}[/tex] = x in point

m = slope

Now, we have to input our values into our equation.

y - 2 = 4/5(x + 5)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

PLEASE HELP . Nicole has to spend $2,675 on monthly supplies for her hair salon. She charges
$25 from each customer for a haircut. How many haircuts would she need to do to
pay for the cost of her monthly supplies?

Answers

Answer:

107

Step-by-step explanation:

2675 ÷ 25 = 107

Answer:

107 haircuts

Step-by-step explanation:

25x [tex]\geq[/tex] 2,675

25x/25  [tex]\geq[/tex] 2,675/25

x [tex]\geq[/tex] 107

Enter the number in scientific notation.
52,491 =
x10
Hint: Move the decimal left 4 places.

Answers

Answer:

5.2491

Step-by-step explanation:

I'm sorry if this is incorrect

Answer:

52,491 = 5.2491 * 10 to the 4th power

Step-by-step explanation:

52,491

Move 4  times to the left

Here it is step by step

1. 5249.1 ( moved one place over)      

2. 524.91 ( moved over two places)

3. 52.491 ( moved over three places)

4. 5.2491 ( moved four places)

Kiwis are on sale at the grocery store at a price of 10 kiwis
for $4. How much are 15 kiwis at this price?

Answers

The correct answer is $6 because 4/10 is 0.4 (this is the cost per 1 kiwi) so you multiply 0.4 by 15 to get $6.

Have a nice day

.3y + 3 (1 - y - y = 6​

Answers

Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

Can I get some help please?

Answers

Answer:

at least 28

Step-by-step explanation:

Answer:

The answer is C. at least 28

Step-by-step explanation:

Connor- 58 comic books

Drew-31 comic books

So, 58-31=27

if Drew add 27 comic books than it would be equal to Connor. So in order to have a larger collection than Connor he should at least add 28 comic books.

Hope it helps :)

maya reads a book at a rate of 10 chapters per hour how many chapters does she read in 5 hours

Answers

Answer:

50 Chapters

Step-by-step explanation:

10 x 5 = 50

Answer:

the answer is 50

take the chapters times 5

2. Find the value of p, if the mean of the following distribution is 20.
X
15
17
19
20+p
23
f 2,3, 4, 5, 6​

Answers

Answer:

p = 6

Step-by-step explanation:

I'm omitting the x since you cannot have 2 unknowns.

(15 + 17 + 19 + 20 + p +23) /5 = 20      Combine the left

(94 + p) / 5 = 20                                   Multiply both sides by 5

94 + p = 20 * 5

94 + p = 100                                         Subtract 94

P = 100 - 94

P = 6

you lent your cousin $25.75 and she sent you $30.00 who owes who money and how much money

Answers

Answer:

you owe her 4.28

Step-by-step explanation:

30.00-25.75= 4.28

220 miles on 8 gallons. How many miles in one gallon?

Answers

Answer:

Tune answer is 27. 5

Step-by-step explanation:

220/8=27. 5

5.
2
C. Use real numbers to represent the following real-life situations.
1. A temperature of 8 degrees below zero
2. A gain of 6 kg in weight
3. A sea level
4. 50 off the original price
5. An additional of 3 points
6. A dropped of 8 in a heart rate
7. A plane ascends 1 000 ft.
8. Micah got a deduction of 2 points for her offense.
9. Daniel went down 4 floors of a building.
10. A slice of a cake that is divided into 8 equal slices.

Answers

Step-by-step explanation:

Words like "below", "loss", "off", "dropped", "deduction" mean negative.

Words like "above", "gain", "on", "ascend", "gain" mean positive.

1. -8°C

2. +6 kg

3. 0 m

4. -50

5. +3

6. -8

7. +1000 ft

8. -2

9. -4

10. 1/8

what is the slope of the equation y=5/4x-7/4

Answers

Answer:   x-intercept = 7/5 = 1.40000

 y-intercept = -7/4 = -1.75000

Step-by-step explanation: Solve   4y-5x+7  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  4y-5x+7  = 0 and calculate its properties

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -1.750 and for x=2.000, the value of y is 0.750. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.750 - (-1.750) = 2.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.500/2.000 =  1.250

 

Where it says “Exercises.”
Is number 1 = 90 ?

Answers

Yes you are correct. The diagonals of any kite are perpendicular.

This can be proven by showing that triangle KGH is congruent to triangle KJH through the SSS congruence theorem. From there you break up the triangles focusing on triangle JRK and triangle GRK, now using the SAS rule to conclude that angle JRK = angle GRK. Since those are a linear pair, those angles must be right angles.

Side note: A kite is defined to be any quadrilateral in which it has two pairs of adjacent congruent sides. Not all four sides are the same length though (otherwise we would have a rhombus).

PLEASEE SOMEONE HELPPP!!!
From Get Engaged! Part 1, if you thought that the monthly payment is the most important factor for Juan to consider, then you are correct. He should still consider the amount of interest that he will be paying, but if he can only pay a certain amount each month, he is not able to pick a payment plan based only on interest.

How can Juan compare the amount of interest of the two plans he has been presented with? Juan will need to multiply … _______________________________.


Great work! In order to find out how much Juan will pay in interst for each plan (3 years versus 5 years), we have to start by finding out how many months are in 3 years and 5 years. Since there are 12 months in one year, you can multiply 12 x 3 and 12 x 5.


PLAN 1: In the first plan, Juan pays $456 for 36 months. 456 x 36 = $16,416. The cost of the car is $15,000. In order to find the interest, we have to find the difference between the total amount that Juan would pay and the cost of the car: 16,416 - 15,000 = $1,416 in interest.

PLAN 2: In the second plan, Juan pays $289 for 60 months. 289 x 60 = $17,340. The cost of the car is $15,000. In order to find the interest, we have to find the difference between the total amount that Juan would pay and the cost of the car: 17,340 - 15,000 = $2,340 in interest.1) What is the benefit to paying a higher monthly payment for less time?

1) What is the benefit to paying a higher monthly payment for less time?

2) What is the benefit to paying a lower monthly payment for longer?

Answers

Answer: $450 i think. hope this

aking additional principal payments will shorten the length of your mortgage term and allow you to build equity faster. Because your balance is being paid down faster, you'll have fewer total payments to make, in-turn leading to more savings.

and the 2) because your monthly payments are lower on a loan with a longer repayment term, this gives you more wiggle room in your budget. You may need this extra cash to put towards other important goals.

Step-by-step explanation:

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