Complete the equation so that it has solutions of –5 and 7. x2 x = 0

Answers

Answer 1

The equation it has solutions of –5 and 7  is x^2-2x-37=0

We have equation

solutions of equation are –5 and 7.

We have to find complete the equation.

We have given that solutions of the equation are -5, 7.

The standard form of a quadratic equation.

What is the factor of the quadratic equation?

[tex](x -\alpha) (x- \beta)[/tex]

Where we have

[tex]p = -(\alpha+\beta) and q = (\alpha\times \beta)[/tex]

So, roots are

[tex]( x- (-5)) (x-7)[/tex]

[tex]p = -( -5+7)[/tex] , [tex]q =(-5)(7).[/tex]

[tex]p = -2 and q = -35.[/tex]

On substituting p and q in equation

[tex]x^2+(-2)x-37=0[/tex]

[tex]x^2-2x-37=0[/tex]

Therefore,x^2-2x-37=0  is the equation of solution -5,7.

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Answer 2

Answer:

-2, -35

Step-by-step explanation:


Related Questions

Lucas owns a car dealership in Brazil that is having a big sale for the next 3 days. Lucas's car dealership will
lose revenue if it rains because potential customers will stay at home. There is a 50% chance of rain each
of the next 3 days independent of the other days. The table below shows Lucas's potential revenue for his dealership's big sale depending on how many days it rains. What is Lucas's car dealerships' expected revenue over the next 3 days?

Answers

Lucas's car dealerships' expected revenue over the next 3 days is $6800

How to determine the expected revenue?

The expected revenue is calculated using the following formula of expected value

[tex]E(x) = \sum x * P(x)[/tex]

The data elements on the table are represented as:

Days        Revenue

0              3000

1               1800

2              1300

3               800

So, we have:

E(x) = 0 * 3000 + 1 * 1800 + 2 * 1300 + 3 * 800

Evaluate the sum of the products

E(x) = 6800

Hence, Lucas's expected revenue is $6800

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the histogram shows the number of minutes that users waited to register for classes on a university's online system. how many users are represented on the histogram

Answers

5 red, 4 yellow, 9 blue, 2 pink, 4 purple


5 + 4 + 9 + 2 + 4 = 24 people

Calculate persons of each color

Red=5Yellow=4Blue=9Pink=2Purple=4

Total:&

5+4+9+2+4=24

If two angles are complementary and one of the angles measures 27°, what does the other angle measure?

73°
153°
63°
27°

Answers

Okay, so, two angles are called complementary when their measures add to 90 degrees. So I think you would have to subtract 90 from 27 and you get your other angle. So, your answer would be 63 degrees.

Cindy puts two different-sized weights on a scale. One size weighs 2 ounces and the other size weighs 5 ounces. All of the weights on the scale
weigh 50 ounces combined.
Create an equation to model a possible number of 2-ounceweights, x, and 5-ounce weights, y, that are on the scale

Answers

Answer: 2x+5y=50

Step-by-step explanation:

x=number of 2-ounce weights

y=number of 5-ounce weights


Because of this you will write the total weight (50) is equal to __. On the other end you will multiply the possible number of 2-ounce weights to 2 because this will give you the weight for the 2 ounce. The same is done for the 5-ounce weights. Once you combine both of them you would get the total weight. Which is why 2x+5y=50 is the answer.

What is the exact decimal equivalent of 7 half’s 12

Answers

The decimal equivalent of 7 half’s is the number in decimal form

The exact decimal equivalent of 7 half’s is 3.5

What is a decimal number?

A decimal number is a number represented by an integer and a fractional part

How to determine the decimal equivalant?

The number is given as:

7 halves

Express as product

7 * 1/2

Evaluate the product

3.5

Hence, the exact decimal equivalent of 7 half’s is 3.5

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Help me please! Brainliest?

Answers

Step-by-step explanation below:

Answer:

D. Neither A not B is true.

Step-by-step explanation:

The solutions of the equations are none among the given answers..So, it's neither a not b.

You have marked the right option:D

Hope it helps:)

Find the slope of the line passes through the points (2, 5) and (9, 8).
A. 1/7
B.2/7
C. 3/7
D.8/7

Answers

The correct option is 3/7

Step by Step Explanation:

Given:

line passing through points (2,5) and (9,8)

To find:

Slope of the line

Solution:-

Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-

[tex]\sf m=\frac{y_2 - y_1}{x_2 - x_1} [/tex]

where,

x₁ = 2

x₂ = 9

y₁ = 5

y₂ = 8

Therefore putting the values , we get

[tex] \sf \: m=\frac{y_2 - y_1}{x_2 - x_1} \\ \\ : \longrightarrow \: \frac{8 - 5}{9 - 2} \\ \\ : \longrightarrow \: \frac{3}{7} [/tex]

Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.


Find the domain of the rational function below.

f(x)=(x+2)(x-1)/(x-3)(x+2)

Answers

Answer:

Domain:  { x ∈ R | x ≠ -2, 3 }

Step-by-step explanation:

[tex]f(x)=\dfrac{(x+2)(x-1)}{(x-3)(x+2)}[/tex]

The domain (x-values) of a rational function is all real numbers of x with the exception of those for which the denominator is 0.   Therefore, to find the values of x that need to be excluded from the domain, equate the denominator to zero and solve for x.

The denominator for the given function is [tex](x - 3)(x + 2)[/tex]

[tex]\implies (x - 3)(x + 2)=0[/tex]

[tex]\implies (x - 3)=0\implies x=3[/tex]

[tex]\implies (x + 2)=0 \implies x=-2[/tex]

There will be a hole at x = -2 and an asymptote at x = 3.

So the values of x that need to be excluded from the domain are:

x = 3 and x = -2

Therefore, the domain of the given rational function is:  { x ∈ R | x ≠ -2, 3 }

How do geometric functions differ from algebraic functions?

Answers

Answer:

Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.

39 The table shows a linear relationship between x and y.
X
y
96
-20
60
-12
-6
33
-2
15
What is the rate of change of y with respect to x?
А
9
2

B
2
9
.
с
2
9
IN
9
2

Answers

Answer:

For B it is A92B but for a

Step-by-step explanation:

I got it right on my test!

Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction? 2x2 6x 9 = 0 x2 3x 12 = 0 x2 3x 3 = 0 2x2 6x 3 = 0

Answers

The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

We know that the formula

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The solutions are given below.

[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]

Then

1)  2x² + 6x + 9 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]

2)  x² + 3x + 12 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]

3)  x² + 3x + 3 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]

4)  2x² + 6x + 3 = 0, the zeroes of the equation will be

[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]

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A bodybuilder gains 1.5 pounds each week for 5 weeks. Which equation represents the change in the bodybuilder's weight after the 5 weeks?


Answers

Answer:

Step-by-step explanation:

The bodybuilder gains 1.5 each week for 5 weeks.

If the bodybuilder gains 1.5 for 5 weeks, how many pounds did he gain?

1.5 * 5 = 7.5

The marked price of a car is $49,500. A person can pay deposit of 30%
and interest at 12% per annum is charged on the outstanding balance.
The total amount payable is to be paid in 2 1/2 years. A) the amount of
each monthly installment b) The hire purchase of the car​

Answers

The amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

Monthly installement

a.  Monthly installment

2 1/2 years=30 months

First step

Amount payable=[49,500×(1-.30)] /30 months

Amount payable=(49,500×.70)/30 months

Amount payable=$34,650/30 months

Amount payable=$1,155

Second step

Amount of monthly installment=[$1,155×(1+0.12)

Amount of monthly installment=$1,155×1.12

Amount of monthly installment=$1,293.6

Amount of monthly installment=$1,294 (Approximately)

b. Hire purchase

Hire purchase=$1,155×.12×30 months

Hire purchase=$4,158

Therefore the amount of each monthly installment is $1,294 and the hire purchase of the car​ is: $4,158.

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Juanita begins to factor an expression as shown. x2 3x−18=(x )(x−) what numbers should be placed in the boxes from left to right? 3 and 6 2 and 9 6 and 3 9 and 2

Answers

The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.

What is a factor of polynomial?

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

Juanita begins to factor an expression as shown.

[tex]x^2+ 3x-18=(x+ \;\;)(x-\;\;)[/tex]

To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,

[tex]x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)[/tex]

Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.

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Find the value of x in the triangle shown below.
O
C =
3.5
4

55°
3.5

Answers

Answer:

okay so the answer is 70°

Step-by-step explanation:

the triangle has two sides equal meaning its a scalene triangle. now bases scalene triangles have two angles equal. hence sum of angles in the triangle sum up to 180° please. rate. me brainliest. if I'm. right

[tex]55 + 55 + x = 180 \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70degrees[/tex]

What is 2736÷61 step-by-step

Answers

Answer: 44.85 in decimal and 44 Rem 52

Step-by-step explanation: Check my file for long calculation. You can stop when the remainder is 52 Or continue to divide further with decimal

Charlie cell phone cost $50 each month plus $0. 05 per text message. His budget is no more than $75 a month. How many text can be send?

Answers

Answer:

500

Step-by-step explanation:

let's say charlie sends x messages per month

he spends $50 + 0.05 for each x (message), which comes out to less than or equal to $75.

as an equation, this is

50 + 0.05 x ≤ 75

subtract both sides by 50 to isolate the variable and its coefficient

0.05 x ≤ 25

multiply both sides by 1/0.05 to isolate x

x ≤ 500

the maximum is therefore x = 500 messages

How is adding and
subtrading decimas
Similar tooro different
from adding and subtrocling
whole numbers

Answers

Similar: you add by lining up, example: 50
+50 and 6.5
+6.5

Different: you bring down a decimal

What is TU???? 24 points

Answers

Since it says that T is the midpoint that means it equal divided the line. So,
X+3 must equal 4x
X+3 =4x
Subtract x on both sides
3=3x
Divide 3 on both sides
1=x
Plug in x into equation
4(1) =4

TU =4

Answer:

4

Step-by-step explanation:

Here we know that T is the midpoint of SU.

Therefore, we know ST and TU are equal.

Setting their values equal, we get:
x+3 = 4x

Then we isolate x by subracting x from both sides:

3=3x

Finally we divide by 3:

1=x

Now we can solve for TU:

4x= 4(1) = 4

i need help with algebra need asap

Answers

In Polish school we calculate in this way. There is one root -6
I hope that I helped you

Find the area of the parallelogram, I will give brainliest
15cm 8cm
[?] square centimeters

Answers

Answer:

120 cm^2

Step-by-step explanation:

15*8; You can basiclly move the left edge to fill in the right part and it will become a normal rectangle. Then you can just do lenght*width

Answer:

120 Square centimeters

Step-by-step explanation:

A = bh = 15×8 = 120

1. Solve x2+ 3x – 4 = 0
2. Solve 2x2 – 4x – 3 = 0
3. Solve x(x – 2) = 4
4. Solve 9x2+ 12x + 4 = 0
5. Solve x
2+ 2x = 1
WILL GIVE BRAINLIEST

Answers

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Jody has already hiked 4 kilometers. The trail is 12 kilometers long. She can hike 2.5 kilometers per hour. Which function will help Jody will help figure out how many more hour, h, she needs to hike?

Answers

Answer:

2.5h + 4 = 12 is your equation

2.5h = 12 - 4

2.5h = 8

h = 8 / 2.5

h = 3.2 hrs

Step-by-step explanation:

Answer:

2.5h + 4 = 12 is your equation

2.5h = 12 - 4

2.5h = 8

h = 8 / 2.5

h = 3.2 hrs

A square has a side length of 22 meters.
What is the area of this square

Answers

Answer:

484 meters squared

Step-by-step explanation:

Area is Length times Width.

You're dealing with a square meaning all sides are equal.


You simply need to do 22m x 22m = 484m squared

The area is 484 because Area= L*W(length times width.

lesson 10.2 area of composite figures worksheet assigment

Answers

The composite figure includes a rectangle and trapezoid

The area of the composite figure is 810.5cm².

How to determine the area?

From the complete question, we have the following parameters:

Shapes: Rectangle and trapezoid

The area of the rectangle is:

Area = Length × Width

So, we have:

Area = 15 × 23

Area  = 345cm²

The area of the trapezium

Area = 0.5 × (a + b) ×h

So, we have:

Area = 0.5 × (15 + 34) × 19

Area = 0.5 × 49 × 19

Area = 465.5cm²

Add both areas to calculate the area of the composite figure

Total area = 345cm² + 465.5cm²

Total area  = 810.5cm²

Hence, the area of the composite figure is 810.5cm².

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Round 3, 295.351 to the nearest tenth.
3, 295.35
3, 295.3
3, 300
0 3,295.4

Answers

Answer:

3,295.4

Step-by-step explanation:

to the nearest tenth is 3,295.4

III NNNNEEEEEEED HHHEEEEEEELLLLLPPPPP!

Answers

Answer:

27 units

Step-by-step explanation:

To find the volume you do length x width x height. 3 x 3 x 3 is 27.

175 miles in 4 hours in unit rate pls help me

Answers

Unit rate = miles divided by hours

175 divided by 4 = 43.75

43.75 miles per hour / mph is your unit rate
43.75 miles per hour

To get this all I did was 175 divided by 4

Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.

What is the probability that the care selected will be a hockey card?

A. 1/9
B. 1/8
C. 1/4
D. 1/3

Answers

Answer:

A. 1/9

Step-by-step explanation:

In order to find probability, you need to add up the total number of cards Dana has.

14 + 10 + 8 + 4 = 36

Then set up a fraction representing probability.

4 hockey cards

---------------------

36 total cards

Simplify

1

---

9

This means that Dana has a 1 out of 9 chance of getting a hockey card.

☆anvipatel77☆

•Expert•

Brainly Community Contributor

What is the probability of picking a 5 and then picking a 2

Answers

Answer:

I cannot answer this question because it is not complete. Please use complete sentences and questions.

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