Solve x2 − 10x = −13.

A) 5 ± 2square root 3
B) 5 ± square root 38
C) 5 ± 2square root 2
D) 5 ± 3square root 2​

Answers

Answer 1

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the numbers from the equation into the formula.

[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]

Simplify:

[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]

[tex]\frac{10+/-\sqrt{48} }{2}[/tex]

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].

Hope this helps!


Related Questions

how much sugar is in a 1 l bottle of soda

Answers

Answer:

Step-by-step explanation:

It is about 52 grams of sugar in one bottle of soda.

Answer:

It contains a 108 grams of sugar

Margaret is making strawberry milkshakes for the kids party. The recipe calls for 1/3 of a cup of strawberry syrup to make 8 milkshakes. How many cups of Strawberry syrup are needed to make 48 milkshakes?
A.) 3
B.)2
C.)16
D.) 8

Answers

Answer:

B. The answer is 2 cups.

12‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Help? If you can.

Questions 5-9 ONLY

Answers

Answer:

My answer got deleted for some reason so lemme try again:

Answer:

5. A

6. B

7. 115

8. 97

9. 123

Step-by-step explanation:

5. Corresponding angles are angles that in the same position. Examples of corresponding angles in this diagram would be, <1 and 5, <2 and <6, etc

6. Supplementary angles add up to 180 degrees. Angles < and <3 (answer choice B) are vertical angles (angles who equal each other) so they are not supplementary angles

7. m<7 and m<2 are alternate exterior angles which means that they equal each other. Another example of this angle pair is m<1 and m<8

8. m<5 and m<3 are same side interior angles, which means that they add up to 180 degrees. Another example of this angle pair is <4 and <6

9. m<1 and m<6 add up to 180 degrees.

A new car is for lease for $315 per month with a down payment of $705. What is the cost for 33 months for this vehicle?

Answers

it would be 11,100 for 33 months. 315x33+705=11,100

Why is it important to read division problems carefully before giving the answer

Answers

Answer:

Because, like with any problem, it is possible to make mistakes. With division, if you place a number in the wrong order or forget to remove a negative sign, the answer will obviously be wrong.

Step-by-step explanation:

Please help!

5x-21 > 15

A. x<-1 or x > 5
B. -1 C. x < -5 or x > 5
D. -5

Answers

answer: x < -1 or x > 5

hope that helps

40 POINTS! PLEASE HELP
Write a system of inequalities to represent the shaded portion of the graph.
See image attached

Answers

Answer:

y ≤ - x + 4y > 1/3x

Step-by-step explanation:

Finding the equation of the lines using points on the graph

1. Points (0,4) and (4, 0)

m = (0-4)/(4-0) = -4/4 = -1y = -x + 4

2. Points (0, 0) and (3,1)

m = (1-0)/(3-0) = 1/3y = 1/3x

Inequalities are:

y ≤ - x + 4y > 1/3x

3 The lyy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. (a) Part A How many cans were in each box? Part B How many cans were left over after the boxes were filled? (b) А 65.5 cans < NEXT​

Answers

Answer:

sorry I wish I could it help you but if you have any other question let me know

The sum of a number g squared and 4 is greater than or equal to −5.

Answers

Answer:

g^2 + 4 > -5

Step-by-step explanation:

sum implies addition so add it with 4

i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol

Answer:

[tex]g\geq +/- 3i[/tex]

Step-by-step explanation:

Using clues given in the problem, we can set up a solvable inequality.

A number g squared: [tex]g^{2}[/tex]

The sum of a number g squared and 4: [tex]g^{2}+4[/tex]

Is greater than or equal to: [tex]g^{2}+4\geq[/tex]

Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]

Isolate [tex]g[/tex]:

[tex]g^{2}\geq -9[/tex]

Solve for [tex]g[/tex]:

[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]

This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].

[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]

[tex]g\geq +/-3i[/tex]

I hope this helps!

Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can they paint in a full hour

Answers

28/7 which is equivalent to 4 painting in a full hour, this is because Carly can paint 2/7 in 1/14 of an hour multiply the 2 times 14 and get 28/7 or 4 which is you’re answer

Answer:

4 paintings in a full hour

Work:

Carly painted 6/7 of a picture in 3/14 hours:

6/7=3/14

Which means Carly painted 2/7 of a picture in 1/14 hours:

2/7=1/14

We need to find how many paintings she can paint in 1 full hour, or 14/14 of an hour, how do you get from 1/14 to 14/14? You do multiplication:

1/14 x 14 = 14/14

but there is a rule that says what you do to one side of the equation, you need to do it to the other side too so:

2/7 x 14=1/14 x 14

28/7=14/14

28/7=4  

A sales manager analyzed the sales, in dollars, y, of beach products compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r = 0.75.

Which conclusion is most appropriate based on the correlation coefficient of the data?

There is a strong positive relationship, therefore as x increases, y increases.
There is a strong positive relationship, therefore as x increases, y decreases.
There is a weak positive relationship, therefore as x increases, y increases.
There is a weak positive relationship, therefore as x increases, y decreases.

Answers

Answer:

There is a strong positive relationship, therefore as x increases, y increases

Step-by-step explanation:

Find the distance between (6,4) and (-6,-5) by using the distance formula

Answers

Answer:

[tex]\boxed {d = 15}[/tex]

Step-by-step explanation:

Use the Distance Formula to help determine the distance between two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Substitute both given points:

[tex](x_{1}, y_{1}) = (6, 4)[/tex]

[tex](x_{2}, y_{2}) = (-6, -5)[/tex]

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]

[tex]d = \sqrt{144 + 81}[/tex]

[tex]d = \sqrt{225}[/tex]

[tex]\boxed {d = 15}[/tex]

Therefore, the distance is [tex]15[/tex].

Match the following.
Given A = (1, 2, 3, 4, 5) B = (2, 4, 6) C = (1, 3, 5)

Answers

Answer:

u have to put the pic of it then only we can understand this please put a pic

(a) Assume that every time you hear a song on the radio, the chance of it being your favorite song is 2%. How many songs must you listen to so that the probability of hearing your favorite song exceeds 90%?
(b) Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed for your 8am CSE 21 class, so you just pull socks out of the drawer at random, one at a time, until you have removed two matching socks. What is the probability that you pull out exactly 5 socks from your sock drawer in the morning?

Answers

Answer:

a)

hearing one song = 2%

90/2 = 45

hearing song 45 times = 90%

Answer:

you would have to listen to 40 songs to get 90%

Step-by-step explanation:

Tell whether 20 is a factor or multiple of the number 10, 20, 30.

Answers

Multiple cause it’s not a factor
20 is a factor of...
10
20
I’m not sure about 30 but probably not

-4/5 divided by -2

Pls help

Answers

Answer:

-2/5 or -0.40

Step-by-step explanation:

Answer:0.4

Step-by-step explanation:

Find the value of the expression when b= 9 c= 5 and d=10 ............ ½d + c² - b

Answers

Answer:

1/2d+c^2-b = 21

Step-by-st ep explanation:

= 1/2(10) + 5^2 -9

= 5 + 25 - 9

= 30 - 9

= 21

use the grid 0.55+ 0.29?

Answers

Answer:

It Is 0.84

Step-by-step explanation:

0.55

0.29 +

______

0.84

Hope that helps...

Brainliest??!! :-) (*_*) :-0 :-D :D

A hobby store pays $20 wholesale for drones and marks them up 40%. What is the retail price of each drone?

Answers

Answer:

$28.00

Step-by-step explanation:

20 x 1.4

Answer:

$28

Step-by-step explanation:

To find the retail price you have to find 40% of 20 and then add that value to 20.

To find 40% of 20 let's convert 40% into decimal form: 0.4

Then you multiply: 20 * 0.4 = 8

Now you add 8 to the original 20: 20 + 8 = 28

The retail price of each drone is $28.

I hope this helps :)

Will mark as brainliest if correct!!!!!

Answers

Answer: the answer would be F

Step-by-step explanation:

2.Larry's car travels 230 miles on 10 gallons of fuel. What is the ratio of miles to
gallons for Larry's car?
A 10 Miles to 1 Gallon
B 10 Gallons to 1 Mile
<
23 Miles to 1 Gallon
D 23 Gallons to 1 Mile

Answers

Answer:

D

Step-by-step explanation:

If he travels 230 miles on 10gallons of fuel, then he will travel 23 miles on 1 gallon of fuel. So it is 230 gallons to one mile.

You have fit a regression model with two regressors to a data set that has 20 observations. The total sum of squares is 1000 and the model sum of squares is 750.(a) What is the value of R2 for this model?(b) What is the adjusted R2 for this model?(c) What is the value of the F-statistic for testing the significance of regression? What conclusions would you draw about this model if α = 0.05? What if α = 0.01?(d) Suppose that you add a third regressor to the model and as a result, the model sum of squares is now 785. Does it seem to you that adding this factor has improved the model?

Answers

Answer:

0.75

0.7205882

25.5

Result is significant at α = 0.01 and α = 0.05

Model improved

Step-by-step explanation:

Given that:

Number of observations (n) = 20

Total sum of squares (SST) = 1000

Model sum of squares (SSR) = 750

1) R² = SSR / SST = 750 / 1000 = 0.75

2.)

Adjusted R² = [(SST - SSR) /(n-k-1)] / (SST ÷ (n - 1))

k = number of regressors = 2

Adj R² = 1 - ((1000 - 750) / (20-2-1)) / (1000 / (20 - 1))

1 - 0.2794117 = 0.7205882

3.) Fstat = (SSR / k) / ((SST - SSR) / (n - k-1))

= (750 /2) / ((1000 - 750) / (20 - 2 - 1))

= 25.5

4.) At α = 0.05

Fα,k,(n - k-1) = F0.05, 2, (20 - 2 - 1) = F0.05,2, 17 = 3.5915 (f distribution calculator)

Fstat > F0.05, 2, (20 - 2 - 1)

25.5 > 3.5915 (Hence result is significant at α = 0.05

At α = 0.01

Fα,k,(n - k-1) = F0.01, 2, (20 - 2 - 1) = F0.01,2, 17 = 6.112 (f distribution calculator)

Fstat > F0.01, 2, (20 - 2 - 1)

25.5 > 6.112 (Hence result is significant at α = 0.01

Adjusted R² if a 3rd regressors is added : k = 3

Adjusted R² = [(SST - SSR) /(n-k-1)] / (SST ÷ (n - 1))

k = number of regressors = 3

SSR = 785

Adj R² = 1 - ((1000 - 785) / (20-3-1)) / (1000 / (20 - 1))

1 - 0.2553125 = 0.7446875

Adjusted R² value is now 0.7446875 which is greater than with 2 regressors,. Hence, adding a third regressors improved the model.

If the r-value, or correlation coefficient, of a data set is 0.841, what is the
coefficient of determination to three decimal places?

Answers

Answer: 0.707

Step-by-step explanation:

Answer: 0.707 is the correct answer!!

Step-by-step explanation:

Doing a survey another question I’m stuck on plz help if you understand !!tyy

Answers

Answer:

29 legs I believe

Local Savings Bank has a $35 overdraft fee. On Friday, Mr. Baratheon
deposited his paycheck of $368.92 for a total account balance of
$712.34. The next morning, his wife wrote a check for $1,000.00 for a
new refrigerator and stove. The check cleared the bank by the end of the
day. What is the current balance in his account?

Answers

Answer:

-287.66

Step-by-step explanation:

Help please!!!!!!!!!!​

Answers

Answer:

A)Two times the quantity of seven less than a number equals thirty-three

The graph shown below represents the relationship between the number of cookies and the cost of the cookies that a bakery sells. What is the unit rate and what does it represent? Y 13 12 10 9 ME Cost ($) B 12 14.06L 8 10 12 14 16 18 20 22 24​

Answers

Answer:

[tex]Rate = \$0.5[/tex] per cookie

Every cookie is sold at $0.5

Step-by-step explanation:

See attachment for complete question

Required

Determine the unit rate

To solve this, we simply take any corresponding values of Cost of cookies and number of cookies

When

Cost = $2

Number = 4

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$2/4[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Pick another corresponding values

When

Cost = $6

Number = 12

[tex]Rate = Cost/Number[/tex]

[tex]Rate = \$6/12[/tex]

[tex]Rate = \$0.5[/tex] per cookie

Hence, the unit rate is $0.5 per cookie

What it represents is that: Every cookie is sold at $0.5

PLEASE HELP ME
15 POINTS

Gabriela is weighing quarters on a scale. She weighs various numbers of quarters, n, and
records their total weight, w, in grams. Find the ratio of the weight of the quarters to the
number of quarters for all three columns of the table. Express your answer using decimals.

Number of quarters, n 4,10,24

Tirol weight, w 22,55,132

Answers

The ratio of the weight of the quarters to the number of quarters will be 11: 2

What is the ratio of two quantities?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.

We have been given that Gabriela is weighing quarters on a scale. They weigh various numbers of quarters, n, and record their total weight, w, in grams.

Number of quarters, n; 4,10,24

Tirol weight, w;  22,55,132

The ratio of the weight of the quarters to the number of quarters will be;

w: n

22 : 4 = 11 : 2

Also, 55: 10

11: 2

Again,

132: 4

11: 2

Hence, The ratio of the weight of the quarters to the number of quarters will be 11: 2

Learn more about ratios here:

brainly.com/question/186659

#SPJ1

Write an equation of a line that passes through (-3, 5) and (-7, 5).

Answers

Answer:

y=5

Step-by-step explanation:

First find the slope

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

   = ( 5-5)/( -7 - -3)

   = ( 5-5) / ( -7+3)

  = 0/-4

The slope is 0

This means it is a horizontal line

Horizontal lines are in the form

y =

The y coordinate is 5

y=5

82 divided by 10 1/2

Answers

Answer:

164/21

Step-by-step explanation:

82÷10 1/2

82÷21/2

82×2/21

164/21

So the Answer is 164/21

The value of the division of the 82 by 10¹/₂ is 164/21.

The mixed number (10 1/2) can be changed into an improper fraction in order to divide 82 by it. In order to do this, we multiply the whole number (10), by the fraction's denominator (2), and then add the numerator (1).

This gives us 10 x 2 + 1 = 21.

So, 10 1/2 can be written as the improper fraction 21/2.

To divide 82 by 21/2, we can multiply 82 by the reciprocal of 21/2. The reciprocal of a fraction is found by flipping the numerator and the denominator.

Therefore, the reciprocal of 21/2 is 2/21.

Multiply 82 by 2/21:

82 x (2/21) = 164/21.

So, 82 divided by 10 1/2 is equal to 164/21.

To know more about division follow

https://brainly.com/question/29047852

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