Solve for 2. Write the smaller solution first, and the larger solution s
4x2 + 40 + 84 = 0
smaller x =
larger x =​

Answers

Answer 1

Answer:

4(x^2 +10 +21)

4(x+3)(x+7) = 0

Smaller

4(x+7) = 0

4x +28 = 0

4x = -28

x = -28/4

x = -7

Larger

4(x+3) = 0

4x + 12 = 0

4x =-12

x = -12 / 4

x = -3

Step-by-step explanation:


Related Questions

y=6x+15 what is y, when x=5

Answers

Answer:

Answer:45

6 x 5+15=45

Step-by-step explanation:

Hope this helped!

Answer:

Look at explanation

Step-by-step explanation:

First, plug in x=5 into the equation y=6x+15 for x.

[tex]y=6(5)+15[/tex]

Solve.

[tex]y=6(5)+15\\=30+15\\=45\\y=45[/tex]

Malik scores 24 goals in 8 soccer games. At that rate, how many goals will he sore in 15 games?

Answers

Answer:

45 goals

Step-by-step explanation:

You have the fraction 24/8

After you simplify it you get 3/1 (that’s the percentage of goals/games)

Supposing goals = x,

x/15 = 3/1

x= 45 goals

Please help me on number one I will mark you as the best answer

Answers

Answer:

-4n - 40 > -120

<=> -4n > -80

<=> 4n < 80

<=> n < 20

=> Option B is correct.

q/(-7) + 1 > 5

<=> q/(-7) > 4

<=> q < 4 x (-7)

<=> q < -28

=> Option C is correct.

Hope this helps!

:)

What does reflection mean?

Moving back and forth quickly
Speed of vibration
Bouncing light of a shining surface
Loudness or quietness

Answers

Step-by-step explanation:

Reflection mean bouncing light of a shining surface.

A map is drawn with a scale of 1 inch equal to 5 actual miles.
If the map distance between two cities is 8 inches, what is the real distance between these cities in miles?
A. 40 miles
B. 16 miles
C. 4 miles
D. 100 miles
E. 80 miles

Answers

Answer:

A. 40 Miles

Step-by-step explanation:

To find the answer I'd use a proportion. To do this you would set it up like this: [tex]\frac{1 inches}{5 miles} = \frac{8 inches}{x miles}[/tex]

Then you could either cross multiply or do it the way I'm going to explain. 1 time 8 equals 8, and when you multiply the top number you have to multiply the bottom number by the same number. So 5 time 8 equals 40. The real distance between the cities is 40 miles.

Find the equation (in terms of x) of the line through the points (-3,1) and (5,3)

Answers

Answer:

(y-3)=(1/4)(x-5) or (y-1)=(1/4)(x+3)

Step-by-step explanation:

point slope formula: (y-y1)=m(x-x1)

slope formula: (y2-y1)/(x2-x1)

slope = m

What are Percentages that are Equal to 100%?

Answers

Answer:

just 100% because it is only that alone. You could have 1.0 as a decimal or 100/100 as a fraction, or 5/5, 18/18 and so on

Step-by-step explanation:

Answer:

100% is equal to 100%.

Step-by-step explanation:

Think about it in fractions, for a precentage to be 100% it need to be the same number of the top and bottom

20/20 = 100%

There are 10 boys and 8 girls in the chess club at West Middle School. The principal randomly selects one student from the chess club to represent the school in a competition. What is the probability that the selected student is a boy?​

Answers

Answer:

5/9 of a chance

Step-by-step explanation:

or a 55.55- chance

Given f(x)=(2x-3)(3x+7), what is the y-intercept

Answers

Answer:

(0,-21)

Step-by-step explanation:

The x value of a y intercept is always 0

So we can plug in 0 to the equation to solve for the y intercept

(2*0-3)(3*0+7)

-3*7= -21

y intercept: (0,-21)

Answer:

-21

Step-by-step explanation:

f(x)=(2x-3)(3x+7)

The y intercept is when x=0

f(0) = (0-3) (0+7)

     -3*7

    -21

The y intercept is -21

please help idk the right answer

Answers

Answer:

C

Step-by-step explanation:

if you add the value if f(x) to t

How would you slice a right rectangular prism to create a pentagon?

A.
Slice the prism such that the plane cuts through all of the six faces.

B.
Slice the prism such that the plane cuts through three intersecting edges.

C.
Slice the prism such that the plane is perpendicular to the base.

D.
Slice the prism such that the plane cuts through five of the six faces.

Answers

Answer:

D.

Step-by-step explanation:

In the picture attached it can be seen that if the plane cuts a right rectangular prism through five of the six faces, a pentagon is created. The picture is just an example, any five faces are possible to create a pentagon

110-
у
70-
y = [ ? ]°

Answers

Answer:

y = 90°

Step-by-step explanation:

y + x = 110° because the sum of two interior angles is equal to an interior angle

x + 70° = y ➡ y - x = 70°

y + x = 110°

y - x = 70° add two equations

2y = 180° (x eliminated -x)

y = 90°

find the missing letter which is n.then find the perimeter. the width is 3ft and area is 33sq ft​

Answers

Answer:

Perimeter = 28 ft

n = 11

Step-by-step explanation:

Area = length x width

33 = n * 3

n = 11 = length

then the perimeter is 2Length + 2Width

= 2*11 + 2*3 =

22 + 6 = 28

Answer:

Step-by-step explanation:

Area = 33 sq ft

length * width = 33

n * 3 = 33

Divide both sides by 3

n = 33/3

n = 11 ft

Perimeter = 2*(length + width)

                = 2*(11 + 3)

                = 2* 14

                = 28 ft

Is the given sequence arithmetic? If so, identify the common
difference,
10, 20, 30, 40

Answers

Answer:

yes, 10

Step-by-step explanation:

Take the second term and subtract the first term

20-10 = 10

Take the third term and subtract the second term

30-20 = 10

Take the fourth term and subtract the third term

40-30 =10

Each time the difference is 10, so it is an arithmetic sequence

This is an arithmetic sequence and the common difference is 10

Plz help i will mark u brianiest

answers choose all that apply

A: Quadrent 1

B: Quadrent 2

C: Quadrent 3

D: Quadrent 4

E; x axis

F:y axis

Answers

Answer:

F, y-axis

Step-by-step explanation:

If point E's y-coordinate is 0, it is located somewhere on the y-axis (meaning F is correct). If point E's x-coordinate is 0, it cannot be on the x-axis (meaning E is incorrect). When a point is on the y-axis, it does not fall into any quadrant (meaning A, B, C, and D are incorrect).

Find the GCF for each pair of monomials. 1. 14n2, 35n4 2. 21n3, 18n2 3. 7n2, 9

Answers

Answer:

[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]

Step-by-step explanation:

(1) [tex]14n^2, 35n^4[/tex]

[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]

(2)[tex]21n^3, 18n^2[/tex]

[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]

(3) [tex]7n^2, 9[/tex]

The two terms are co-prime. Therefore their GCF is 1.





Ms. Augustine is playing a game with her class. When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results.



What would the number be when the student says 8?


A. 58

B. 56

C. 54

D. 50

Answers

Answer:

When a student tells her a number, she uses a rule to determ

Step-by-step explanation:

Get the answers ... When a student tells her a number, she uses a rule to determine the new number. Ms. Augustine always uses the same rule. The table below shows some of the results. What would the number be when the student says 8? A. 58. B. 56. C. 54

Answer:

58

Step-by-step explanation:

5. The length of a rectangle is 5 inches greater than the width.
Question
Answer
a. Write an expression for the width of the rectangle.
b. Write an expression for the length of the rectangle.
multiply

Answers

Answer:

see below

Step-by-step explanation:

Let w = width

L = length = w+5

The area is l*w

A = (w+5)*w

A = w^2 +5w

PLEASE HELP ME I REALLY NEED IT

Answers

look this up on photomath and it was come up !!

Answer:

x = 0

Step-by-step explanation:

when you plug in x as 0, you would have

0 + 3y = 12

0 = 8 - 2y

3y = 12

3y divided by 3 is y

12 divided by 3 is 4

y = 4

plug y in for the second equation

0 = 8 - 2(4)

0 = 8 - 8

this is why x = 0

hope that made sense, sorry if it didn't, i don't know how to explain it online

Two more than three times a number is six less than the product of two
and a number.

Answers

Answer:

x = -8

Step-by-step explanation:

3x + 2 = 2x - 6

Answer:x = -8

Step-by-step explanation:

Please help me with this problem.

Answers

Answer:

1

Step-by-step explanation:

prove that (tan²y) (cos²y) + 1/sec²y = 1​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1

Consider the left side

tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]

= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product

= sin²y + cos²y

= 1

= right side ⇒ proven

Step-by-step explanation:

[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\

LHS

= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\

\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\

= \sin^2y + \cos^2 y \\\\

= 1\\\\

= RHS\\\\

\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]

Hence Proved

What is the value of x, if the volume of the cone is 12 pi m^3?
4 m
5 m
6 m
10 m

Answers

Answer:

4 m

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

12 pi  = 1/3 pi  (3)^2 x

12 pi = 1/3 pi 9 x

12 pi = 3pi x

Divide each side by 3 pi

12 pi / 3pi = 3pix/ 3pi

4 =x

Solve the system using elimination and describe your steps.

3x + y = 9
5x + 4y = 22
-------------------

Answers

Answer:

x = 2,  y=3

Step-by-step explanation:

3x + y = 9

5x + 4y = 22

Multiply the first equation by -4

-4(3x + y) = 9*-4

-12x -4y = -36

Add this to the second equation to eliminate y

-12x -4y = -36

5x + 4y = 22

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

-7x    = -14

Divide each side by -7

-7x/-7 = -14/-7

x = 2

Now find y

3x+y = 9

3(2) +y = 9

6+y = 9

Subtract 6 from each side

-6+6 +y = 9-6

y = 3

Answer:

x = 2, y = 3

Step-by-step explanation:

3x + y = 9 (1)

5x + 4y = 22 (2)

Multiply equation (1) by -4 and add to equation (2)

-12x - 4y = -36

5x + 4y = 22

-7x = -14

x = 2

Using any equation, solve for y

5(2) + 4y = 22

4y = 12

y = 3

Simplify x 2  − 4x + 4 x 2  − 4

Answers

Look at the attached picture

Hope it will be helpful to you..

Can someone pls answer the question plss

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The y axis or interval (0,Infinity) is forever going more lower and the x is forever going to the negatives

What value cannot be determined from the box and whisker plot?

A. median

B. mean

C. range

D. interquartile range

Answers

D is the answer thank

Answer: The answer is B. Mean :)

Convert: 15,940 feet = how many miles and feet

Answers

Answer:

3.02 miles

Step-by-step explanation:

3.02 should be the answer

Which of the following equation have exactly one solution?

A) 58x + 52 = -78x - 78
B) 58x + 52 = 78x - 78
C) -78x + 52 = -52x - 78
D) 52x + 52 = 52x -78

Answers

Answer:

A, B, C all have one solution.

Step-by-step explanation:

1) Each equation in this question has one variable (x). This means that only one solution will be there.

2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78

Which is not true

3) Option A, if solved x = -65/68

4) Option B, x = 13/2

5) Option C, x = 5

All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.

Answer:

The answer is A, B, and C.

Step-by-step explanation:

I got this answer on Khan Academy.

Hope this helps! :)

Mario writes the equation (r + y)2 = z2 + 4(1/2ry) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.

Answers

Answer:

x+y

Z2

1/2xy

Step-by-step explanation:

(x+y)^2 finds the area of the outer square by squaring its side length.

z^2 + 4 (1/2xy) finds the area of the outer square by adding the area of the inner square and the four triangles.

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