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identify a possible pair of values for a and c so that ax^2 + 10x = c has one real solution. Then write the equation.

The solution is a = 5 and c = - 5

What is the equation?



Answers

Answer 1

9514 1404 393

Answer:

  5x^2 +10x = -5

Step-by-step explanation:

The equation will have one solution when the discriminant is zero.

In standard form, the equation is ...

  ax^2 +10x -c = 0

The discriminant of the equation ax^2+bx+c=0 is  ...

  b^2 -4ac

so the discriminant of your equation is ...

  10^2 -4a(-c) = 100 +4ac

We want that to be zero, so we require ...

  100 +4ac = 0

  25 +ac = 0

  ac = -25

Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...

  5x^2 +10x = -5 . . . . . the equation with a=5, c=-5

_____

Additional comment

Your problem statement does not require that 'a' be non-zero. If a=0, then the equation will have one real solution for any value of c.

If you restrict the solutions to integers, then possibilities include ...

  (a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)

Answer 2

Answer:

The equation is 5x+10x=-5

Step-by-step explanation:


Related Questions

Select the answer that describes the properties of a parallelogram.

Answers

Answer:

A is the correct answer because all sides are congurent

A parallelogram has two pairs of parallel sides.

opposite sides and opposite angles are congruent.

Option D is the correct answer.

We have,

Parallelograms have several notable properties:

Opposite sides are parallel:

In a parallelogram, opposite sides are parallel, meaning they never intersect and have the same slope.

Opposite sides are congruent:

The opposite sides of a parallelogram have equal lengths. This property applies to both pairs of opposite sides.

Opposite angles are congruent:

The opposite angles of a parallelogram have equal measures. This property applies to both pairs of opposite angles.

- Consecutive angles are supplementary.

- Diagonals bisect each other.

- Diagonals create congruent opposite triangles.

- Diagonals create equal opposite angles.

Thus,

A parallelogram has two pairs of parallel sides.

opposite sides and opposite angles are congruent.

Learn more about parallelograms here:

https://brainly.com/question/1563728

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Solve three fourths times two thirds help meeeeeee

Answers

Answer:

1/2

Step-by-step explanation:

Give brainiest please

2/4 x 2/3
Ok so we times top numbers
2 x 2 which is 4
Now bottom numbers
3 x 4 = 12
So the fraction is 4/12
We need to simplify so we divide by 4
Answer : 1/3

or you could do this
2/4 x 2/3
2/4 = 1/2
So 0.5 x 2/3
Which is 1/3

Does anyone know this?

Answers

Answer:

i think c or b I D K

Step-by-step explanation:

HEY IF YOURE SEEING THIS IM IN DIRE NEED OF YOU SOLVING NUMBER 4!!

Answers

Answer:

(1, -3) (2, -1) (3, 1)

Step-by-step explanation:

if seconds=x and degrees celsius=y, the points are (1, -3) (2, -1) (3, 1). to graph, plot the points on a graph. (ordered pairs are written as x,y)

The points (9,21) and (21,49) form a proportional relationship. Find the slope in fraction form or simplest form. Then use the slope to graph the line.

Answers

Answer:

I think it's -28/-12

Step-by-step explanation:

y-y/x-x

-4/15x =1.44 Enter your answer as a mixed number in simplest form.

Answers

Answer:

[tex]\frac{ - 4}{15x} = 1.44 \\ - 4 = 15x \times 1.44 \\ 15x = \frac{1.44}{ - 4} \\ 15x = \frac{144}{ - 4 \times 100} \\ 15x = 0.36 \\ x = \frac{36}{100 \times 15 } \\ x = 0.024[/tex]

Answer:

-5 2/5

Step-by-step explanation:

i took the test from k12

Cómo se mide la velocidad

Answers

Answer:

d wound be the only answer I think

BRAINLIEST!!!!!!!!!!!!!


What is the value of tan A?

○ 6/8

○ 8/6

○ 6/10

Answers

6/8

This is because tan is opposite over adjacent

6 is opp of A, and 8 is adjacent A
The value of tan is 6/8

Simplify this equation

Answers

Answer:

6x²y³

Step-by-step explanation:

Answer:

6x²y³

Step-by-step explanation:

a car travels at 56 km per hour find the time it takes to travel 300 metres give your answer in seconds correct to the nearest second​

Answers

1km = 1000 m , thus 56km = 56000 m

1hr = 60 mins

1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr

so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?

[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]

Two of the angles in a triangle measure 58 degrees and 25 degrees. What must be the measure of the third angle?

Answers

97 degrees

add up the two and subtract by 180

I need help I been here all day trying to solve this I'm good I reading not math ​

Answers

32,760 is the answer!!

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answers

If 2 sides of a triangle is 12 cm and perimeter is it 28cm prove it is a isosceles triangle

Answer:

if it has two equal sides the triangle is isosceles by definition

Definition of

Isosceles Triangle

A triangle with two equal sides.

The angles opposite the equal sides are also equal.

Find the measure of

Answers

Answer:

64

Step-by-step explanation:

360-115-129=116 (the sum of exterior angles of triangle is 360)

180-116=64

Does anybody know the slope for these graphs?

Answers

5. 4/3 6. Undefined 7. -1

Find all the square roots of 36

Answers

Hey there!

√36

= √6^2

= 6

Therefore, your answer should be: 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

[tex] \sqrt{36} = ...[/tex]

[tex] = {36}^{ \frac{1}{2} } = (6 {}^{2} ) {}^{ \frac{1}{2} } [/tex]

= 6

Select the values that make the inequality u≥ -7 true.

Answers

Answer:

Well u could be -7 or anything higher than that.

Solve for x. Round to the nearest tenth.

Answers

Answer:

24.8

Step-by-step explanation:

Which is an x-intercept of the graph of the

Answers

Answer:

(5π/8, 0)

Step-by-step explanation:

x intercept occurs when y = 0

0 = tan(x - 5π/8)

as tan0 = 0

x - 5π/8 = 0

x = 5π/8

g Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2

Answers

answer:

1

Step-by-step explanation:

#'s between zero and two = one

the only number between 0 and two is 1

x = 1  y = 1  z = 1

the average value of the sum of the squares of x, y and z = 1

1, 1, 1

the average is 1

1.
Identify the point corresponding to P.



A. P′ (−3, −1)

B. P′ (−4, 0)

C. P′ (−5, −3)

D. P′ (−2, 0)

Answers

Answer:

B. P′ (−4, 0)

Step-by-step explanation:

You can look at the graph. The X-axis always goes first. SO -4 is first because it's on the x-axis. ANSWER= (-4, 0)

What is the minimum unit cost of C(x)=0.7^2-210x+27,464?

Answers

no local extrema i think?

13. For a weekly car rental, a car-rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles.
16
Create a table of m and A values using the equation from part a for 150, 200, and
250 miles.

Answers

Answer:

a) y = 0.10(16) + 100

y = $ 101.60

b) y = 0.10(150) + 100

y = $115

c) y = 0.10(200) + 100

y = $120

d) y = 0.10(250) + 100

y = $125

Step-by-step explanation:

what is improper fraction



help me please​

Answers

An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number)

Answer:

a fraction in which the numerator is greater than the denominator, such as 5/4.

Step-by-step explanation:

A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.

Hope it helps!

Please mark me as Brainliest!

pls help me i will mark you brilliant​

Answers

2. a) 3 days.

b) 1 hour.

3. a) 20 km

b) 1200 l

answerrrrrrrrrrrr plssssssssssssssssssssssssssssssss

Answers

They think I’m too young to love you I don’t know what I need

Use the clues and each of the numbers on the sign to complete the grid.

Clues

. All four numbers in a row must have a common factor greater than 1.
. Pairs of numbers in a column must have a common factor greater than 1.

Answers

Answer:

prayers lang po katapat nyan

A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2333 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 157 232 Boot Camp 259 258 Boxing 282 215 Spinning 161 235 Yoga 271 263

Answers

The likelihood that a class attendee is a non-member of the gym taking a barre class or a member of the gym taking a boot camp class is 0.009.

What is the probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The marketing team has gathered data from a random month, in which there were 2039 class attendees.

The probability that a class attendee is a non-member of the gym and is attending a barre class

= 185/2039

= 0.09

The probability that a class attendee is a member of the gym and is attending a boot camp class

= 204/2039

= 0.10004

The probability for both the event would be

= 0.09 x 0.10004

= 0.009

The complete question is attached with the answer below.

Learn more about probability here;

brainly.com/question/11234923

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A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph faster
than she can walk. How fast can she walk?
mph

Answers

Answer:

4mph

Step-by-step explanation:

Plane B is flying 55mph
55

mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.

Answers

Answer:

It takes around 5s for each plane to travel their respective distances.

Step-by-step explanation:

It takes 5s to each plane to travel
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