Solve the following quadratic equation:
the following quadratic equation: 2x2 - 52 + 2 = 0

Answers

Answer 1

Answer:

          x₁ = -5,   x₂ = 5

Step-by-step explanation:

[tex]2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5[/tex]


Related Questions

Landrie is selling bracelets and earrings to make money for a SUP (Standup Paddle Board) has a goal to earn $500. She plans on selling the bracelets for $2 and the earrings for $3. If she has the materials to make a total of 190 items, how many of each item must she make to accomplish her earning goals?

Answers

Answer:

120 earrings and 70

Step-by-step explanation:

Answer:120,70

Step-by-step explanation:

120 and 70

Nathalie has some quarters, dimes, and nickels. The ratio of the number of quarters to the number of dimes to the number of nickels that she has is $9:3:1$. The total value of these coins is $18.20. How many coins does Nathalie have?

Answers

Answer:

the answer is 91

Step-by-step explanation:

One group of 9 quarters, 3 dimes, and 1 nickel has the value of $9 \times 25 + 3 times 10 + 5=26 cents or 2.60 in total.

Since the coins she has are in this same ratio 9:3:1, we can split her coins up into groups of 9 quarters, 3 dimes, and 1 nickel, with each group having a value of 2.60

Because the total value of her coins is 18.20and 18.20\2.60=7, she has 7 of these groups of coins.

Each of these group contains 13 coins, so she has 7 times 13 = 91 coins in total.

Each of these group contains 13 coins, so she has total 91 coins.

What are nickles, dimes, quarters and cents?

A dollar is further divided into some majorly used parts as:

A cent = 100th part of a dollar = $1/100 = $0.01

A nickle= 20th part of a dollar = $1/20 = $0.05

A dime = 10th part of a dollar = $1/10 = $0.10

A quarter = 4th part of a dollar = $1/4 = $0.25

One group of nine quarters, 3 dimes, and 1 nickel has the value of $9

25 + 3 times 10 + 5=26 cents or 2.60 in total.

Since the coins Nathalie has are in this same ratio 9:3:1, thus we can split her coins up into groups of 9 quarters, 3 dimes, and 1 nickel, with each group having a value of 2.60

Due to the total value of her coins is 18.20

18.20/2.60=7,

Hence, she has 7 of these groups of coins.

Each of these group contains 13 coins, so she has total ;

7 x 13 = 91 coins

Learn more about partition of dollars here:

https://brainly.com/question/27187336

#SPJ2

9+10
A: 21
B: 19
C: 910
D: 91

Answers

Answer:

19

Step-by-step explanation:

This is simple, You put 10+9 on paper, 0+9=9 and 1+0=1 Which gives you your answer of 19!

(I think this is a meme 0.0)

Find three consecutive even integers such that their sum decreased by 34 is equal to the first and integer.Find the first integer.

Answers

Answer:

61

Step-by-step explanation:

A submarine’s elevation is −280 feet relative to sea level. A shark is swimming at an elevation of −20 feet. What is the difference in elevation between the submarine and the shark?

Answers

Answer:

260 ft

Step-by-step explanation:

-280+20=260

Can you help me with all of them so 1-6 for them please

Answers

Here are the answers:

5z-8=-28 solve for x

Answers

Answer:

z = -4

Step-by-step explanation:

I'm going to assume you mean solve for z.

5z - 8 = -28

add 8 to both sides.

5z = -28 + 8

5z = -20

divide both sides by 5

z = -4

Answer: The answer would be −4.

First add eight to both sides.

5z−8+8=−28+8

5z=−20

Now divide both sides by five.

5z  divided by five = -20 divided by 5.

z=−4

Find the distance between -12 and 36 on the number line.
distance

Answers

Answer:

24

Step-by-step explanation:

Solve for a.
ab + c= d.

Answers

Answer:

a=d-c/b

Step-by-step explanation:

Whats the answer of this problem?​

Answers

Answer:

5b-24

Step-by-step explanation:

ABF is the total angle for this equation. In order to find EBF, all you need to do is subtract ABE from the total, so the equation would be:

(7b-24) - 2b = 5b-24

hope this helps you!! <3

Which procedure correctly simplifies the expression? ( 4 x − 3 ) − 2 ( x + 5 ) A. Step 1: 4 x − 2 x − 3 + 5 Step 2: 2 x + 2 B. Step 1: 4 x − 3 − 2 x − 5 Step 2: 2 x − 8 C. Step 1: 4 x − 3 − 2 x − 10 Step 2: 2 x − 13 D. Step 1: 4 x − 3 + 2 x + 10 Step 2: 6 x + 7

Answers

Answer:

Step 1: 4 x − 3 − 2 x − 10

Step 2: 2 x − 13

Step-by-step explanation:

Given the expression;

(4 x − 3) − 2 (x + 5)

The following steps/ procedure are to be taken when simplifying the expression.

open the parenthesis

(4 x − 3) − 2 (x + 5)

= 4x-3 -2(x)-2(5)

= 4x-3-2x-10

collect the like terms

= 4x-2x-3-10

simplify the resulting expression

= 2x-13

Hence the procedure that correctly simplifies the expression are:

Step 1: 4 x − 3 − 2 x − 10

Step 2: 2 x − 13


sorry if you can’t see clearly BUT PLEASE HELP ME IM TIMED AND MY TEACHER IS GOING TO SUBMIT IT

Answers

1.) 5.13 x 10 x10 =513
10.9 ÷ 20 = .109
2.) 6.2 x4=24.8
3.) .14>
3.12>
<507.36
4.) 11.88
5.) 7.92
6.) 24.99

0.26 as a fraction? And 0.79 as a fraction?

Answers

Answer:

0.26=13/50 0.79=79/100

Step-by-step explanation:

All decimals are over a number in the power of ten. If you say the decimals out loud you would say "26 hundredths " and "79 hundredths" so you place the decimals over 100 and then simplify.

Answer: 12/50 and 79/100

A ladder is leaning against a house so that the top of the ladder is 12 feet above the ground. The angle the ladder makes with the ground is 51°. How long is the ladder?

12•sin51°
12/cos51°
12•cos51°
12/sin51°
None of these

Answers

Answer:

12/sin5°

Step-by-step explanation:

This angle can be calculated using the law of sine:

sin(angle)=opposite cathete/hypothenuse

sin(angle)=wall/ladder

In this exercise we want to calculate the length of the hypotenuse (ladder), so the equation is changed afterwards.

sin(angle)=wall/ladder

sin(angle)*ladder=wall

ladder=wall/sin(angle)

Now the given values are used:

ladder=wall/sin(angle)

ladder=12ft/cos(51°)

________________________

Answers

✩ Answer:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*  

 [tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]  

✩ Step-by-step explanation:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:

-3 ÷ -3 = Cancels OutTurns into: [tex]\frac{-9}{-3} >5x-2[/tex]

✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:

-9 ÷ -3 = 3Turns into: [tex]3 > 5x - 2[/tex]

✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:

Turns into: [tex]5x-2<3[/tex]

✺ Add 2 to both sides:

Turns into: [tex]5x<3+2[/tex]

✺ Add 3 and 2 to get 5:

3 + 2 = 5Turns into: [tex]5x<5[/tex]

✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:

5 ÷ 5 = Cancels OutTurns into: [tex]x<\frac{5}{5}[/tex]

✺ Divide 5 by 5 to get 1:

5 ÷ 5 = 1

✺  So your answer is B, [tex]\boxed{x<1}[/tex].

(Number line is below.)

[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]

Answer:

[tex]\boxed {x < 1}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]-9 < -3(5x - 2)[/tex]

-When you are dividing an integer by a negative integer, then the inequality sign changes. So, divide both sides by [tex]-3[/tex]:

[tex]\frac{-9}{-3} < \frac{-3}{-3} + 5x - 2[/tex]

[tex]3 > 5x - 2[/tex]

-Switch sides:

[tex]5x - 2 < 3[/tex]

-Add [tex]2[/tex] to both sides:

[tex]5x - 2 + 2 = 3 + 2[/tex]

[tex]5x < 5[/tex]

-Divide both sides by [tex]5[/tex]:

[tex]\frac{5x}{5} < \frac{5}{5}[/tex]

[tex]\boxed {x < 1}[/tex]

The number line graphed (if needed):

what is -37.27+(-13.2)

Answers

Answer:

-50.47

Step-by-step explanation:

So you see how there is a +(- ? That means to ignore the + and just subtract. BUT, when you subtract negatives it's simply adding them together.

So to do it you would say 37.27 + 13.2 which gives you 50.47. Then make it negative and boom there is your answer!

Mark brainliest if you can :D

Hullan's age is two times Thomas's age. The sum of their ages is 21. What is Thomas's age?

Answers

Thomas is 7 and Hullen is 14 together that equals 21


Tamara spun the arrow on a spinner 50 times. The number of times the arrow landed on each colored section of the spinner is shown in the table.
Section
Number of Times
Arrow Landed On
Red
23
Blue
Orange
Yellow
8
10
9
Based on the results in the table, what fraction of the area of the spinner is most likely represented by the Red section?

Answers

Answer:

1/2 .

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

Find 4ab when (a+b)=15 and (a-b)=12

Answers

a + b = 15 ..... eq 1
a – b = 12 ...... eq 2

So a = 15 – b
Substitute in eq 2 :

15 – b – b = 12
15 – 2b = 12
–2b = 12 – 15
b = 1.5

So a = 15 – 3/2 = 13.5

4ab = 4 x 13.5 x 1.5 = 81

Answer:

81

Step-by-step explanation:

here,

(a+b)=15 -------(1)

(a-b)=12 -------(2)

Equating the equation (1) and (2)

a + b = 15

a - b = 12

(b gets cancelled having opposite signs)

or, 2a = 27

or, a = 27÷2

a = 13.5

then, putting value of a in equation (1)

a+b=15

or, 13.5 + b=15

or, b=15-13.5

b=1.5

lastly,

4ab = 4×13.5×1.5

= 81

hope it helps!!

Find the total area for the cylinder with the given measurement.
r= 2, h=4
A.24 pi square units
B.20 pi square units
C.16 pi square units

Answers

Answer:

A = 75.4

Step-by-step explanation:

r - 2

h - 4

morgan worked 39.5 hours one week, 40.75 hours the next week. if morgan receives $8.71 per hour wages, plus 1.5 times their base pay for all hours 40 hours a week, what is Morgan's Gross pay the the two weeks ​

Answers

Answer:

$698.60

Step-by-step explanation:

realley this answer is confram please follow me

19-4c=17

What is the value of “c”?

Answers

Answer:

Simplifying 19 + -4c = 17 Solving 19 + -4c = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4c = 17 + -19 Combine like terms: 19 + -19 = 0 0 + -4c = 17 + -19 -4c = 17 + -19 Combine like terms: 17 + -19 = -2 -4c = -2 Divide each side by '-4'. c = 0.5 Simplifying c = 0.5

Step-by-step explanation:

Can I have brainliest

HELPPPPPPPP PLS!!!!!!!

Answers

Answer:

x = 8

Step-by-step explanation:

Set up an equation: (7x - 2) = (11x - 34)Combine like terms: 7x - 11x = 2 - 34Simplify: -4x = -32Divide each side by -4 to cancel out the -4 next to x. It should now look like this: x = 9

I hope this helps!

please help me with this

the question is “ A ___ followed by a ____.”

the options are reflection, rotation and translation.

Answers

Answer:

a 90 degree clockwise rotation followed by a reflection across the x axis

Step-by-step explanation:

BRAINLIEST ANSWER!!
During the summer, you work 30 hours per week at the gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week. How many hours, t, must you work as a landscaper?

Identify an equation that can be used to answer the question.
A) 30t=400-8.75(11)
B) 8.75+11+400=30+t
C) 8.75t+11t=400
D) 30(8.75)+11t=400

Solve the equation to find the number of hours you must work as a landscaper.

You must work ___ hours as a landscaper.

Answers

Answer:

1. 30(8.75) + 11t = 400

2. 12.5 hours

Step-by-step explanation:

1. What is given is you work for 30 hours per week at a gas station for $8.75 an hour. You also work as a landscaper for $11 an hour. You want to a make a total of $400 per week.

30 hours and $8.75 an hour would be equivalent to 30(8.75)

We don’t know how many hours you work as a landscaper but you earn $11 an hour, which is equivalent to 11t

Finally, you want to earn a total of $400 a week, which means the sum equals 400

30(8.75) + 11t = 400

2. 30(8.75) = 262.5

400 - 262.5 = 137.5

137.5 / 11 = 12.5

If two data sets have a positive trend, which of the following is true?


A) The leftmost points on the scatter plot of the data sets will tend to be higher than the rightmost points.

B) The trend line for the scatter plot must have a positive slope.

C) All of the points on the scatter plot must lie on the trend line.

D) All of the above are true.

Answers

Answer:

D

Step-by-step explanation:

Answer:

A is the answer to this question ol

raise d to the 6th power

Answers

Answer:

[tex]d^{6}[/tex]

Step-by-step explanation:

hope it helps

is 1/5-x equivalent to x-1/5

Answers

No I don’t think so, I could be wrong but I think it’s not

A painter mixed 5 pints of white paint, 3 pints of blue paint, and 4 pints of yellow paint. He wrote the ratio 3:12. Which statement BEST describes this ratio?
A. the ratio of the number of pints of white and yellow paint to the number of pints of blue paint
B. the ratio of the number of pints of blue paint to the number of pints of blue and yellow paint
C. the ratio of the number of pints of yellow paint needed to make 4 times as much blue paint
o
D. the ratio of the number of pints of blue paint to the total number of pints of paint

Answers

Answer:

The answer is D

Step-by-step explanation:

The ratio of the number is 3, and blue has 3.

The second number ratio has 12, and the total number of paints is 12

What is the value of -1 - 8 - (-10)?
reeee i need help

Answers

The answer is 1
-1-8 is -9 then because there are two minus signs it becomes positive so then it’s -9+10 which is 1
1
-(-10) becomes a positive and then your equation will be -1-8+10 which equals 1
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