QUADRATIC EQUATION â€" WORD PROBLEMS

The sum of two numbers is 5 and their product is â’84. Find these numbers


The answer is 12 , -7

I just need the steps

Answers

Answer 1

Answer: -7, 12

Step-by-step explanation:

a+b = 5

a*b = -84

a = 5-b

(5-b)*b = -84

-b^2 + 5b + 84 = 0

(-b - 7)(b + 12) = 0

The roots are -7 and 12.

I'm not sure what â€" stands for


Related Questions

fkhjglirugaeuzikjbvea HELP

Answers

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Which graph represents a proportional relationship from y to x with a constant of proportionality of 1/2

Answers

Answer:

It´s going to be B

Step-by-step explanation:

There are a total of 84 campers attending a summer camp. The ratio of boys to girls is 4 to 3.

How many girls are attending the summer camp?

Enter your answer in the box.

Answers

There are 36 girls attending summer camp.

Simplify the expression

√4x^2/3y

PLEASE SHOW WORK!!

Answers

Answer:

[tex] \frac{2 \sqrt{3y} \times |x| }{3y} [/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{ {4x}^{2} }{3y} } [/tex]

[tex] \frac{2 \times |x| }{ \sqrt{3y} } \\ \frac{2 \times |x|}{ \sqrt{3y} } \times \frac{ \sqrt{3y} }{ \sqrt{3y} } \\ \frac{2 \times |x| \times \sqrt{3y} }{ \sqrt{3y} \sqrt{3y} } [/tex]

[tex] \boxed{Answer:{\boxed{\green{= \frac{2 \sqrt{3y} \times |x| }{3y}}}}} [/tex]

Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did priya raise?

Answers

Answer:

$960

Step-by-step explanation:

2,400 divided by 2.5 = 960

y divided by x = 950 (x) 2,400 (y)

Juan graphed a line with a slope of −23 .

How does Juan count the slope from any point on the graph?


From any point on the graph, he counts down 2 then right 3 to end up on the line again.

From any point on the graph, he counts up 2 then right 3 to end up on the line again.

From any point on the graph, he counts down 2 then left 3 to end up on the line again.

Answers

Answer:

The answer is: From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Step-by-step explanation:

Mistake in the question; The slope of the line is -2/3.

To count the slope of the graph from any point on the graph; He counts down 2 then right 3 to end up on the line again.

The slope of a linear graph refers to the change behaviour of its dependent variable (usually y-axis) with respect to its Independent variable (usually x-axis).

In essence;

slope, m = (y2-y1)/(x2-x1)

Consequently, From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Read more:

https://brainly.com/question/23935638

CAN ANYONE PLZ HELP ME WITH THIS WORKSHEET .. I’ll mark as brainliest

Answers

Answer:

Step-by-step explanation:

1)

We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]

2)

We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]

3)

[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].

So, [tex]\boxed{x=\frac{1}{2}}[/tex].

4)

[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].

So, [tex]\boxed{x=3}[/tex].

5)

[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].

So, [tex]x=5,-5[/tex].

6)

We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].

7)

[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].

8)

[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]

What is the result when (-12) is subtracted from (- 8) ? *

Answers

Answer:

-20

Step-by-step explanation:

All that you have to do for this question is just form the equation:

-12-8=x

And solve, which is:

-20

what divided by 25 = 4.8?

Answers

Answer:

120/25 = 4.8

Step-by-step explanation:

To set up the equation you would do this-

[tex]\frac{4.8}{1} =\frac{x}{25} \\[/tex]

Then cross multiply (multiply 4.8 by 25 and x by 1)

[tex]4.8(25) = x(1)\\120 = x[/tex]

What is the midpoint of the line segment?
Drag the coordinates to the boxes to correctly match the endpoints and midpoint

Answers

Using the midpoint concept, it is found that:

The midpoint of the line segment of endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex] is [tex](-2, 3\sqrt{3})[/tex].The midpoint of the line segment of endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex] is: [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]

The midpoint of a line segment is given by the mean of the coordinates of it's endpoints.

For the first segment, which endpoints [tex](2, \sqrt{3})[/tex] and [tex](-6, 5\sqrt{3})[/tex]:

[tex]x_M = \frac{2 - 6}{2} = -2[/tex]

[tex]y_M = \frac{\sqrt{3} + 5\sqrt{3}}{2} = 3\sqrt{2}[/tex]

The midpoint is [tex](-2, 3\sqrt{2})[/tex]

For the second segment, which endpoints [tex]\left(-\frac{5}{3}, \frac{2}{5}\right)[/tex] and [tex]\left(\frac{1}{3}, \frac{3}{2}\right)[/tex]:

[tex]x_M = \frac{-\frac{5}{3} + \frac{1}{3}}{2} = -\frac{4}{6} = -\frac{2}{3}[/tex]

[tex]y_M = \frac{\frac{2}{5} + \frac{3}{2}}{2} = \frac{\frac{4 + 15}{10}}{2} = \frac{19}{20}[/tex]

The midpoint is [tex]\left(-\frac{2}{3}, \frac{19}{20}\right)[/tex]

A similar problem is given at https://brainly.com/question/24352869

A rectangle has a perimeter of 36 cm. Its width is 4 cm less than its length. Find
the length and width of the rectangle.

Answers

Answer:

14

Step-by-step explanation:

Perimeter = 2 x length + 2 x width  = 2L  + 2w

 

 Width is 4 cm less than the length, so w = L-4

 

  36 = 2L + 2(L-4)

 

 36 = 2L + 2L - 8

 

 36 = 4L - 8

 

44 = 4L

 

 L = 11

 

w = 7

 

2(11) + 2(7) = 22 + 14 = 36

Length is 11, width is 7

76.6, 25.5 and 10.87 estimated sum and actual sum?

Answers

estimated sum-114, actual sum-112.97

Step-by-step explanation:

76.6-77

25.5-26

10.87-11

77+26+11=114

76.6+25.5+10.87=112.97

Simplify (−8.5)(−5)( −2). (1 point)

Select one:

a.
850

b.
85

c.
−85

d.
−850

Answers

Answer:

C). -85 is correct answer

Step-by-step explanation:

This is a multiplication problem, so we can just multiply from left to right:

-8.5 x -5 = 42.5

42.5 x -2 = -85 (negative 85)

(Hope this helps can I pls have brainlist (crown)☺️)

The answer is -85
Because a negative times a negative equals a negative, and all of these numbers are negatives :)
So you would just simply multiply them all!

what is the measure of F?
pleaseeee

Answers

Answer:

D

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x + 3 + 7x - 5 + 3x + 14 = 180 , collect like terms

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14

Then

∠ F = 7x - 5 = 7(14) - 5 = 98 - 5 = 93° → D

Some save me please will name brainliest if the answer is correct

Answers

Answer:

-5, -9

Step-by-step explanation:

This point is located in the fourth quadrant. When rotated at 270 degrees, it'll end up in the third quadrant. The rules for this quadrant is that both the x and y value will be negative.

Answer: I think is -9(5,)

Step-by-step explanation:

Please help
Given m∠LMN=145 what is ∠XMN?

Answers

Answer:

(4x+5)°+(6x-10)°=145°

4x+6x+5-10=145°

10x-5=145°

10x=145+5

10x=150°

x=15

(6x-10)°=(6×15-10)°

=80°

The value of ∠XMN = 80.

What is angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.

The value of total ∠LMN = 145.

∠LMN = ∠LMX +∠XMN

145 = (4x + 5) + (6x - 10)

145 = 4x + 5 + 6x - 10

145 = 10x -5

10x = 150

x = 15

Substitute the value of x in ∠XMN =  (6x - 10)

∠XMN =  6×15 - 10

            = 90 - 10

∠XMN = 80

Therefore, the value of the angle  ∠XMN = 80.

To know more about the angle theorems, here

https://brainly.com/question/27962469

#SPJ2

Use the distributive property to rewrite each expression. then evulate. 27.) -3(2x-6)​

Answers

Answer: -6x + 18

Step-by-step explanation: multiply each expression in the brackets by -3

so, -3 x 2x = -6x and -3 x -6 will give you +18 or just 18

for a final answer of -6x + 18

A piano has a length of 8 feet and a width of x+2 feet, write an expression in simplest form of the perimeter of the piano.

Answers

Answer: 2(x + 10)

Step-by-step explanation: you have to add all of the perimeter sides together so you will have to times the length by 2 so your equation would be (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) now you add them together

16 + 2x + 4

2x + 20

Now you have to take out the highest common factor which is 2

So it will be 2(x + 10)

Which answer is an equation in point-slope form for the given point and slope?
Point: (5, 9); Slope: 2
y-5= 2 (2 +9)
y-9=2(x+5)
y+9= 2(2-5)
y-9=2(x – 5)

Answers

Answer:  y-9=2(x-5)

Step-by-step explanation: The point (5,9) satisfies the equation:

y-9=2(x-5)  for (5,9)?

9-9=2(5-5) ?

0 = 0  YES

Slope of 2?  Rewrite:  

y-9=2(x-5)

y = 2(x-5)+9

The slope is 2  YES

what's -2 5/11 - -7 1/11

Answers

Answer:

4.63636363636

Step-by-step explanation:

Answer:

1 -2 5 /11 - -7 1 / 11

2 5/11

= 2.27

7 1 / 11

6.45

= -4 . 18

thoả mãn x biết 2(x+5)=x^2+5x

Answers

Answer:

=  2

=  − 5

Step-by-step explanation:

The Lucas numbers are defined by the recursive formula t1 = 2, t2 = 1, tn = tn - 1 + tn - 2, where n âN and n > 2. What are the first 9 Lucas numbers?

Answers

The first two are given to you, [tex]t_1=2[/tex] and [tex]t_2=1[/tex]. Use the recursive formula to get the 3rd term; then use the 2nd and 3rd terms to get the 4th; and so on.

Since the n-th Lucas number is the sum of the previous two Lucas numbers, you have

[tex]t_3 = t_2 + t_1 = 1 + 2 = 3[/tex]

[tex]t_4 = t_3 + t_2 = 1 + 3 = 4[/tex]

[tex]t_5 = t_4 + t_3 = 4 + 3 = 7[/tex]

[tex]t_6 = t_5 + t_4 = 7 + 4 = 11[/tex]

[tex]t_7 = t_6 + t_5 = 11 + 7 = 18[/tex]

[tex]t_8 = t_7 + t_6 = 18 + 11 = 29[/tex]

[tex]t_9 = t_8 + t_7 = 29 + 18 = 47[/tex]

Solve F=D+Drt for t.....

Answers

Answer:

[tex]t = \frac{-D+F}{Dr}[/tex]

Step-by-step explanation:

Step 1: Flip the equation.

[tex]Drt + D = F[/tex]

Step 2: Subtract D from both sides.

[tex]Drt + D - D = F - D[/tex] [tex]Drt = -D + F[/tex]

Step 3: Divide both sides by Dr.

[tex]\frac{Drt}{Dr} = \frac{-D+F}{Dr}[/tex] [tex]t = \frac{-D+F}{Dr}[/tex]

mark is having a birthday party he included 15(and himself) He wants two cupcakes per person. Only 7 people came to the party. Write an equation for the problem and solve home many cupcakes each person will get.

Answers

Answer:

2 for each

Step-by-step explanation:

i think

At a farm the ratio of cows to horses was 9: 2 if there were 72 cows at the farm how many horses were there

Answers

Answer:

16 Horses!

Step-by-step explanation:

Since

9 : 2 = 72 : X

Then we know

2/9 = X/72

Multiplying both sides by 72 cancels on the right

72 × (2/9) = (X/72) × 72

72 × (2/9) = X

Then solving for X

X = 72 × (2/9)

X = 16

Therefore

9 : 2 = 72 : 16

what times 3 equals 0.5?

[tex](x)3=0.5[/tex]

Answers

Answer:

.16666667

Step-by-step explanation:

(x)3=0.5

divide both sides by 3

x    =.16666667

please need help! it’s discrete math!!

Answers

Answer:

B

Step-by-step explanation:

It's easy.

Answer:

Free

is all I see

Step-by-step explanation:

An engineer earns $108 000 annually. Deductions
of $3 975 are made each month.
Calculate:
(a) his gross monthly salary
(b) his net monthly salary

Answers

Answer:

9,000

5,025

Step-by-step explanation:

Help me plz! I WILL MARK YOU BRAINLYST

Answers

Answer:

6.5 rounded from 6.53...

to see if this is correct we can:

13.5+9.5+6.5*3 = 42.5

but since we rounded it we can say its 6.5

Answer:

6.55 meters each day

Step-by-step explanation:

You know that in the end the fence must be 42.6 meters long.

On Monday & Tuesday, he installed 22.95 meters of fence. (We know this because 13.45 + 9.5 = 22.95).

So, how much is left? You find that by subtracting 22.95 from 42.6.

42.6-22.95 = 19.65 meters

There are 3 days left of fencing, and these days he will install equal lengths, so you can divide 19.65 meters by 3 days.

19.65 / 3 = 6.55 meters of fence per day

-2 1/2 ÷6=
-5 5/8 ÷ 5=
-2 1/8 ÷ 1/4=
1 5/8 ÷ -1 3/5=
-4 1/3 ÷ -2 3/5=​

Answers

1) -1.75
2) -1.375
3) -10.5
4) -75/104
5) 205/69

Answer:

-2 1/2 ÷ 6 = -0.41

-5 5/8 ÷ 5 = -1.12

-2 1/8 ÷ -1/4 = -8.5

1 5/8 ÷ -1 3/5 = -1.01

-4 1/3 ÷ -2 3/5 = 1.66

,  Hope this helps :)

Have a great day!!

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