What is the sum of the roots of the equation 2 x^2 + 5 x − 3 = 0?
a)-3.5
b)-2.5
C)-1.5
D)2.5

Answers

Answer 1

Answer:

B) -2.5

Step-by-step explanation:

2x^2 + 5x -3 = 0

(2x - 1)(x + 3) = 0

2x - 1 = 0; 2x = 1, so x = 1/2 = ROOT 1

x + 3 = 0, so x = -3 = ROOT 2

Now add the roots: -3 + 1/2 = - 2 1/2, so the answer is B.


Related Questions

Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine
the final cost of the DVD.

Answers

Answer:

0.88%y + 0.03%

K12 is how i know the answer

If 20 apples cost N300 how many apples can be bought for N1875

Answers

Answer:

28125

Step-by-step explanation:

300÷20=15

15×1875=28125

why are 4^0 and (-4)^0 is equal to 1,while -4^0 is equal to -1

Answers

Step-by-step explanation:

According to the zero property of exponents, any number (other than 0) raised to the power of zero is always equal to 1.

The problem with this question is the simple fact that in this format it is confusing.

So, -(4^0) = -1 × (4^0) = -1x1 = -1

and, (-4)^0 =1

g(x)=-3x+2 and g(x)=-1, find x

Answers

Answer:

x=1

Step-by-step explanation:

9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.​

Answers

Answer:

The unit of measure appropriate is cubic metre or cubic meter (m³)

Step-by-step Explanation:

we know that

The volume of a cube is equal to

V = b^3

where b is the length side of the cube

In this problem we have

b = 2m

substitute in the formula of volume

V = 2^3

V = 8 m^3

therefore

The unit of measure appropriate is cubic metre (m³)

Please help me !!!!!!

Answers

Answer:

2

Step-by-step explanation:

-2+4=2

6. 2(x + 6) = 3(x + 1)

7. -2(4x+1) = 3(x+3)

8. 2(5x + 9) = 10x + 18

9. -5(x + 6) = -5x + 9

10. (h+20) = -5(h-6)
11. 3(2x-5) = -(x+1)
12. -3(d+1) = -2(3d-9)

Answers

Answer:

Hope this helps you

Step-by-step explanation:

6. x = 9

7. x = -1

8. x = True of all

9. no solution

10. h = 5/3

11. x = 2

12. d = 7

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.

Question 3 options:

AB=RS

AB=2RS

ΔABC~ΔRST

△ABC≅ΔRST

m∠BAC=m∠SRT

m∠BAC=2m∠SRT

Answers

The given reflection transformation is a rigid transformation, such that the dimensions are preserved

The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;

AB = RSΔABC ≅ ΔRSTm∠BAC ≅ m∠SRT

Reasons:

The given parameters are;

Triangle ΔABC is reflected across the line y = 2·x

Given that a reflection is a rigid transformation, we have;

The distance between two points on a preimage is the same as the distance between the corresponding points on the image;

Therefore;

ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;

AB ≅ RS, BC ≅ ST, and AC ≅ RT

m∠BAC ≅ m∠SRT

m∠BCA ≅ m∠STR

m∠BAC ≅ m∠SRT

Therefore;

The true statements are;

AB = RSΔABC ≅ ΔRST

Therefore;

m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRST

Learn more here:

https://brainly.com/question/14136606

Write the following as an inequality.
w is less than 8 and greater than or equal to -3​

Answers

8>w
w>/= -3
Meaning the inequality is 8>w>/= -3

help with the geometry pls and thx​

Answers

Answer:

1. p->q

2. p<->q

3. :.p^q

Step-by-step explanation:

I hope this will help you

The figure shows a block of stone measures 8 cm by 5 cm by 2 cm and has a density of 2.5 g/cm3

what is the volume of the stone?

what is the mass of the stone?

Answers

Step-by-step explanation:

The volume of the stone = 8 × 5 × 2 = 80

Using density = mass / volume

So 2.5 = mass / 80

2.5 × 80 = mass

200 = mass

please give me brainliest answer  

volume:

(8cm×5cm×2cm)=80cm³

I don't know the mass , sorry

2. Given that a = 3 , b = 2, and c = −1, evaluate each of the following expressionsa) (a+3b)

Answers

Answer:

9

Step-by-step explanation:

if you substitute a for 3 and b for 2 you should get 9

the price of a shirt was reduced $15 to 9$ by what percentage was the price of the shirt reduced

Answers

If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%

How to find percentage reduction?

The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:

15 - 9 = 6 dollars

Therefore,

percentage reduction = 6 / 15 ×100

percentage reduction= 600 / 15

percentage reduction = 40%

Therefore, the percentage reduction in price is 40%.

learn more on percentage here: https://brainly.com/question/13450942

#SPJ1

Find the unknown sizes of angles in the following figures (with step-by-step explanation please):​

Answers

Answer:

O= 87 degrees

Step-by-step explanation:

Because they are opposites

Answer:

x angle is 29

then 2x angle is 58 and y angle is complementary so then y also is 58

helppp
what is the slope?

Answers

Answer:

I don't see the image either-

Step-by-step explanation:

Upload this again please so we can answer this :')

20 POINTS !!!!!!!!!
Solve the quadratic equation by completing the square.
x^2 - 18x + 68 = 0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.

Answers

Answer:

x =  x = 9 ±[tex]\sqrt{13}[/tex]  or x ≈ 12.61 or  x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68            Solve by completing the square.

x² - 18x = - 68    

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81  = -68 + 81

(x - 9) (x - 9) = 13                  Now find the square root of both sides

[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex]            Solve

x - 9 = ±[tex]\sqrt{13}[/tex]                         Solve for x

x = 9 ±[tex]\sqrt{13}[/tex]  

x = 9 + [tex]\sqrt{13}[/tex]    or  x = 9 - [tex]\sqrt{13}[/tex]      

x ≈ 12.61      or x ≈ x  5.39            

Nick has 4 times as many partners as Gabriel, Leo has half as many partners as Nick.
Altogether, they have 28 partners. Explain how many partners Gabriel has.

Answers

Gabriel has 4 partners.

When you take the 4 and multiply it by 4, you get 16 where you'd take half of the 16 and add it to it. So you'd have 16 + 8 where it equals 24 and then add the original 4 and you get 28.

Gabriel had 4 partners.

Above explaination is awesome!

Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.

Answers

Congruent triangles are triangles with equal corresponding sides.

The triangles are congruent

From the question (see attachment), we have the following observations.

Two corresponding sides are marked with ITwo corresponding sides are marked with IITwo corresponding sides are marked with III

The above highlights mean that:

The corresponding sides are congruent by SSS theorem

Hence, your classmate's claim is incorrect.

Read more about congruence of triangles at:

https://brainly.com/question/20517835

Helppp I have three more

Answers

16b = 12

Divide both sides by 16

b = 12/16

Simplify 12/16 by dividing by the GCF of 12 and 16, which is 4

b = 3/4

Hope this helps!! :)

What are two ways to write 2a-18 in words

Answers

Answer:

Step-by-step explanation:

2a-18

two a minus eighteen

two a takeaway eighteen

two a subtract eighteen

two a deduct eighteen

(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following ​

Answers

Answer:

Step-by-step explanation:

[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]

[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]

The number of seconds varies directly as the number of minutes. When 240 seconds have passed. 4 minutes have passed. If 420 seconds have passed , how many minutes have passed? ( help pls >.< )

Answers

Answer:

7 minutes.

Step-by-step explanation:

You can simply apply the well known rule if time: 60mins makes 1 hour,

or use proportion;

where x is the value you seek,

4=240

x=420

The relationship between 4 and 249 is 60 so,

420 divided by 60 equals 7 minutes.

Hope this is helpful,

if so please mark brainliest.

What is 500 miles decreased by 20%?

Answers

Answer:

400

Step-by-step explanation:

Percentage decrease = 20% × 500

New value = 500 - Percentage decrease

500 - (20% × 500) =

500 - 20% × 500 =

(1 - 20%) × 500 =

(100% - 20%) × 500 =

80% × 500 =

80 ÷ 100 × 500 =

80 × 500 ÷ 100 =

40,000 ÷ 100 =

400

larger two degit number is --------

Answers

Answer:

99

Explanation:

The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number

I really need help with this question :)

Answers

Answer:

here you go.

Step-by-step explanation:

The diagonal is the hypotenuse of a rectangular triangle.

So:

d2=l2+w2 

132=169=(x+7)2+x2=x2+14x+49+x2→

2x2+14x−120=0→x2+7x−60=0

A simple quadratic equation resolving into:

(x+12)(x−5)=0→x=−12orx=5

Only the positive solution is useable so:

w=5andl=12

Rittle - Mary didn't know how to pronounce the name but she knew that she had to go inside to impress her parents, where was she? (giving out the answer in 5 mins. SO HURRY)

Answers

at school i think because i’m so confused

i don't understand this question somebody help

Answers

Answer:

Explanation is in a file

Find an ordered pair (x, y) that is a solution to the equation
3x+y=7
(x,y) = 0.0
X 00
?

Answers

Answer:

(0, 7) is an ordered pair solution to 3x + y = 7

Step-by-step explanation:

Given the equation 3x + y = 7, find a solution (ordered pair).

There are an infinite number of possible solutions.  Let's focus on just one:

Let x = 0.  Then y = 7, and (0, 7) is an ordered pair solution to 3x + y = 7

7
10 points
One force of magnitude 48 acts on an object. Another force of magnitude 90 acts on the object at a right angle, what is the magnitude of the resultant force on the object?
Type your answer...

Answers

So these forces are in a right angle, which makes it easy to find the resultant. I want you to imagine a right triangle, one side is 48 newtons, another is 90 newtons. Our resultant force is the hypotenuse. So this is sqrt[(90)^2 +(48)^2].

Antonio thought of a number ‘x’. He subtracted 7 from thrice the number to get 11.

Find x.​

Answers

Answer:

32=X becuase you said He subtracted 7 three times or thrice so we multiply that then add 11 because it was our remaining number from subtraction. so 32

Step-by-step explanation:

Other Questions
Use the definition to complete the missing syllables of the spelling word.What a word suggests beyond its literal meaning is its _nota_ Please help I dont understand this!! Will give brainliest who helps me! :) Choose the best topic sentence for the following example paragraph.The first is vacuuming because I enjoy the quiet purring ofmy vacuum cleaner. The second is washing dishes, which Ifind relaxing. And the third is cleaning the garage becauseget to be outdoors and play some music while I do it. Butthose are the only kinds of housework I like.A. I really dislike dusting.B. I enjoy all kinds of houseworkC. I don't like doing most kinds of housework, and I don't like doingmy homework for school either.D. There are only a few kinds of housework that I enjoy.Pls help u can have 10 points Why do some substances dissolve in water, but other substances do not? A hiker wants to determine the height of a tree. She measures the tree shadows to be 17.1 m long her own shadow at the same time is 1.8 m long the hiker is 1.7 m tall how tall is the tree Various versions of skinwalker I33.Creon says, "I bet you to observe these girls: one has just now lost her mind;the other, it seems, has never had a mind at all." Explain his statement.Which sister has lost her mind, and which sister never had a mind to beginwith? which solution is hypertonic? Which answer represents a speed, not a velocity?A. 35 m/sB. 35 m/s downC. 35 m/s east,D. 35 m/s south A figurine of a lighthouse is shown. if the actual lighthouse is 30feet wide, how tall is the lighthouse what are some expressions to solve a product of 120? a(6x10)+(20x10) b.20x6 c. (6x2)+(10x2) d.(2x5)+(55x2) Write a five-hundred-word essay discussing how Solomon Northup's character changes from the beginning of thememoir to now. What area of the world has the highest fertility rates (number of births per woman)?Question 13 options:A) AfricaB) South AmericaC) AsiaD) Central America PLEASE HELP complete the construction a perpendicular line to segment AB through point P. pls help i need help on homework. and i dont understand:6 = 7y - 8please solve using inverse operationsI offer a crown and 20 points Simplify: [5(25)^n+1 - 25 (5)^2n]/[5(5)^2n+3 - (25)^n+1] solve the following inequality for n -5n+6-7(5n-6)-6n If 5x+ 3 = 10x 17, what is the value of x?A. 1B. 2C. 3D. 4E. 5 Compared to the atomic radius of sodium, the atomic radius of argon is smaller. This is a result of help meeeeeee pleaseee