Select the two values of x that are roots of this equation
2x - 3 = -5x^2

A. x = 3/5
B. x = - 1
C. x = 5/3
D. x = - 2/3

Answers

Answer 1

Answer:

[tex]\sf 2x - 3 = -5x^2[/tex]

move terms to one side:

[tex]\sf 2x - 3 = -5x^2=0[/tex]

Split second term in 2x-3+5x^2 into two terms:

[tex]\sf 5x^2+5x-3x-3=0[/tex]

factor out common terms in first terms, then last terms

[tex]\sf 5x(x+1)-3(x+1)=0[/tex]

Factor out common term: x+1

[tex](x+1)(5x-3)=0[/tex]

solve for x

[tex]\sf x+1=0[/tex]

[tex]\sf x+1-1=0-1[/tex][tex]\boxed{\sf x=-1}[/tex]

[tex]\sf 5x-3=0[/tex]

[tex]\sf 5x-3+3=0+3[/tex][tex]\sf 5x=3[/tex][tex]\sf \cfrac{5x}{5}=\cfrac{3}{5}[/tex][tex]\boxed{\sf x=\frac{3}{5}}[/tex]

[tex]\boxed{\sf Answer: x=-1,\:x=\frac{3}{5}}[/tex]


Related Questions

helppp ill give you brainliest ​

Answers

Answer:

A!

Step-by-step explanation:

answer is c+3

the question asks for the sum, the sum comes from addition. therefore, the answer is c+3

The temperature when Spencer arrived at school was a very chilly

4°F. By the time school got out, the temperature had risen 13°F.
What was the temperature when school got out?

Answers

9 degrees. -4 + 13= 9.

Tammi is planning to buy a video game system for $310.Each month she doubles the amount she saved the previous month.if she saves $10 the first month, in how many months will Tammi have enough money to buy the video game system?

Answers

Answer:

6 months

Step-by-step explanation:

10 x 2 = 20 x 2 = 40 x 2 = 80 x 2 = 160 x 2 = 320

1month=10

2months=20

3months=40

4months=80

5months=160

6months=320

Help please I need to pass

Answers

Answer:

(x+8, y+4).

Step-by-step explanation:

8 units to the right followed by 4 units up.

[tex]\sf 2(4+9m)[/tex]

Answers

Rearrange terms

2(4+9m)

2(9m+4)

Distribute

2(9m+4)

18m+8

Solution

Solution18m+8

[tex]2(4+9m)[/tex]

[tex]2(9m+4)[/tex]

[tex]18m+8[/tex]

(Therefore, 18m+8 is the final answer)

Find the equation of the line that passes through the points (-1,8)
and (2, -1). Write your equation in slope-intercept form. Show all
work to support your answer.

Answers

Answer:  

y = -3 * x + 5

 

Step-by-step explanation:  

We start with the equation for slope-intercept y = mx + b -  

Y is any y point on the line. X is any x point on the line. M is the slope of the line. B is the y-intercept of the line.  

We first find the slope by using this equation (y2 - y1) / (x2 - x1) -  

(8 - (-1)) / ((-1) - 2)  

9 / (-3)  

Slope = -3  

Now we insert the slope into the equation -  

y = -3 * x + b  

As said before, Y is any y point on the line and X is any x point on the line, so we can choose a random point and insert it in to find the y-intercept -    

-1 = -3 * 2 + b  

-1 = -6 + b  

b = 5

The y-intercept of the line is (0, 5)  

We insert the y-intercept in the equation -  

y = -3 * x + 5  

y = -3 * x + 5 is our answer to the problem.

5
What are the slope and y-intercept of the linear function
graphed to the left?
4
3
NG
O slope: -2; y-intercept: 2
O slope: - : y-intercept: 1
O slope: 1; y-intercept: 2
2
5 -3 -2 -11
-2+
TY?
O slope: 2; y-intercept: 1
-4

Answers

Answer:

(2)

Step-by-step explanation:

slope:-1/2

y-intercept:1   (because the function passes (0,1))

The slope of the linear function is -2 and the y-intercept is 2. Therefore, the correct answer is: slope: -2; y-intercept: 2.

What is linear function?

A linear function is a type of function where the rate of change of the dependent variable (y) with respect to the independent variable (x) is constant. In other words, the graph of a linear function is a straight line.

To determine the slope and y-intercept of the linear function graphed, we can use the slope-intercept form of a linear equation, which is:

y = mx + b

Where m is the slope and b is the y-intercept.

Looking at the graph, we can see that the line passes through the y-axis at the point (0, 2), which means that the y-intercept is 2. To find the slope, we can choose any two points on the line and use the formula:

slope = (change in y) / (change in x)

For example, we can choose the points (-1, 0) and (1, -4) which lie on the line. The change in y is -4 - 0 = -4, and the change in x is 1 - (-1) = 2. Therefore, the slope is:

slope = (change in y) / (change in x) = -4 / 2 = -2

Hence, the slope of the linear function is -2 and the y-intercept is 2. Therefore, the correct answer is:

slope: -2; y-intercept: 2

Thus, the answer is slope: -2; y-intercept: 2.

For more details regarding linear function, visit:

https://brainly.com/question/21107621

#SPJ7

I need help asap please help me

Answers

Answer:

B. Alternate exterior angles

Step-by-step explanation:

Use the graph to determine which statement describes fx).

Answers

Answer:

I think the answer is 4.5,2

I think that is the answer.

Simply (x-4) (x^2 + 3x - 1)

Answers

I found the answer as :

x³ - x² - 13x + 4

Answer:

Step-by-step explanation:

x^3 + 3x^2 -x -4x^2 - 12x + 4

x^3 - x^2 - 13x + 4

Maria spent 75 minutes practicing the piano over the weekend. Lydia practiced the clarinet for 76% as much time as Maria practiced the piano

Answers

Answer:

what is the question? If the question is how much time Lydia practiced, then the answer would be 75 x 76% = 57 minutes

list the side of the triangle in order from shortest to longest.

Answers

Answer:

shortest to longest -

B-77

A-59

C-44

Step-by-step explanation:

To put the sides in order of longest to shortest, first find the largest angle -- the longest side is opposite this angle. Then, find the second largest angle and the side opposite from it to find the next largest angle, and finally, the shortest side will be opposite the smallest angle.

I HOPE THIS IS CORRECT!! SORRY IF NOT!!

Help someone asapppp

Answers

Answer:

30

Step-by-step explanation:

2b - 3 / 3 (fraction) - 5 = 10.
Solve for B

Answers

Step-by-step explanation:

2b - 3/3 - 5 = 10

2b - 1 - 5 = 10

2b - 6 =10

2b -6 +6 = 10 +6

2b = 16

b = 8

Solve pls brainliest

Explain

Answers

Answer:

A. -10

B. 147

Step-by-step explanation:

-90 ÷ 9 = -10

7 · 21 = 147

Hope this helps!

2. Given h(x) = x2 +11 and g(x) = √ x-2 evaluate : (g∘ h) (0)

Answers

Step-by-step explanation:

I understand from the corrupted typing of the problem text that we have 2 functions :

h(x) = x² + 11

g(x) = sqrt(x - 2)

we are looking for (g○h)(0).

first of all, (g○h)(0) is the same as g(h(0)).

don't get in panic because of this one iteration sign.

it just means we are running the second function first, and use that result as argument for the first function. that's all.

so,

h(0) = 0² + 11 = 11

11 is now the argument for g(x).

g(11) = sqrt(11 - 2) = sqrt(9) = 3

(g○h)(0) = 3

261 kids like blue Gatorade and 203 kids like red Gatorade how many more students prefer Blue Gatorade to Red Gatorade?

Answers

Answer:

58

Step-by-step explanation:

261-203= 58

simple

write the repeating decimal as a fraction 0.75
the 75 is repeating ​

Answers

Let x = 0.757575... . Then

100x = 75.757575...

and so

100x - x = 75.757575... - 0.757575...

99x = 75

x = 75/99 = 25/33

Please help I’ll give brainily

Answers

Answer:

C

Step-by-step explanation:

Equations of lines that are perpendicular have gradients that are negative reciprocals of each other. This means that the gradient of one of the lines is negative 1 times the fraction flipped.

With the equations presented in the form y = mx + c, the gradient is m. This means you need to look for the values of m where one is the negative reciprocal of the other.

In C, the first gradient is 6/11. The reciprocal (flipped) is 11/6. Make this negative and you get -11/6, which is the gradient of the second equation, so these lines are perpendicular.

write down the inequality shown on the number line​

Answers

Answer:

[tex]x<-6; x\ge2[/tex]

Step-by-step explanation:

We're taking values from -6 and behind, and the dot over -6 is empty, so it's not included. That means [tex]x<-6[/tex]. Moreover, the rest of the line goes from 2, with a solid dot, and ahead. That translates in [tex]x\ge 2[/tex]

A new discount cell phone service charges $55 a month plus $15.00 for every line on the plan. Choose the linear function that represents the relationship between
the number of lines (x) and the cost of the plan (y) per month.

Answers

Answer:

y = 15x + 55

Step-by-step explanation:

3x = 243
Which value of x will make the equation true?
O A. 4
4
O B. 5
5
O c. 6
O
D. 27
O E. 81

Answers

Answer:

81

Step-by-step explanation:

I need help solving this problem

Answers

x=8

I hope this helps I would appreciate brainliest if possible :)

Answer:total is 180. Subtract 100. Then it’s 80

Step-by-step explanation:

180-100=80 degrees. It applies for the ones across.

In basic the answer is x=80

add or subtract the polynomials
(8x3+3x-2)+(9x2-7+3x-2x3)

Answers

Answer:

10x^3+9x^2-9

Step-by-step explanation:

8x^3+2x-2+9x^2-7+2x-2x^3 - Combine like terms

10x^3+9x^2-9

Answer:

[tex]\boxed{\boxed{\sf 6x^3+9x^2+6x-9}}[/tex]

Step-by-step explanation:

[tex]\sf \left(8x^3+3x-2\right)+\left(9x^2-7+3x-2x^3\right)[/tex]

[tex]\sf 8x^3+3x-2+9x^2-7+3x-2x^3[/tex]

Note: If there is a negative sign in front of  parentheses, each term within the expression changes sign.

[tex]\Longrightarrow \sf 8x^3+3x-2+9x^2-7+3x-2x^3[/tex]

Now, we need to organize expression into groups like terms:

[tex]\Longrightarrow \sf (8x^3, -2x^3)\: (3x, 3x)\:(-2,-7)[/tex]

[tex]\longmapsto\sf 8x^3-2x^3=6x^3[/tex]

[tex]\longmapsto\sf 3x+3x=6x[/tex]

[tex]\longmapsto\sf -2-7=-9[/tex]

[tex]\boxed{\sf 6x^3+9x^2+6x-9}[/tex]

_____________________________

WHAT IS THIS. draw the line x=2 on the grid. please help

Answers

Answer The picture shows you where to place your line

Step-by-step explanation:

In which quadrant(s) do the graphs of y=x^2 and y=3x+10 intersect?

Answers

Answer:

Quadrants I and II

Step-by-step explanation:

y = x²

y = 3x + 10

x² = 3x + 10                     Substitute x² for y

x² - 3x - 10 = 0                 set the equation = 0

(x - 5) (x + 2)                     Factoring

x - 5 = 0 ; x + 2 = 0

x = 5 or x = -2

Now solving the y

y = x²     or     y = x²

y = (5)²   or y = (-2)²  

y = 25   or  y = 4

The points of interception is points (5, 25) or (-2, 4)  

(5, 25)  in Quadrant I ; (-2, 4) in Quadrant II

Please help! It’s an emergency I’ll mark brainliest for a right/real answer!

Answers

Answer:

refer to attachment

Step-by-step explanation:

hope it helps you

19th. = 120 yds

plzz plzzz plzz mark as brainliest.

A scale drawing for a plot of land is shown below.
In the drawing, 5 cm represents 6 m.
Assuming the backyard is rectangular, find the area of the real backyard.

Answers

Answer:

72m

Step-by-step explanation:

since 5cm is 6m, just take 5 and make it 6, so 10cm is 12m and 5cm is 6m

multiply, and you get the answer

Evaluate each function.
Help me please


f(x) = -2x^2- 1; Find f(-4)

Answers

Answer:

-33

Step-by-step explanation:

Question 1
o
In A CDE, U is the centroid, UK = 12, EM = 21, and UD = 9. Find CU.
-
U 12
K
9
Next Question
M
Check Answer
2021 McGraw-Hill Ede

Answers

Answer:

is it this?I just searched

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