Which of the following are solutions to the equation below? Check all that apply. x2 + 3x - 10 = 0

Answer:

Step-by-step explanation:

I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule.  Do that by finding the determinant of the matrix, |A|.  The matrix A looks like this:

2   -2   1

-1     3   2

1    -4   -3

and we find the determinant of a 3x3 by expanding it.  Do that by picking up the first 2 columns and throw them on at the end, like this:

2   -2    1     2   -2

-1     3    2    -1    3

1    -4    -3    1    -4

and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:

[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to

-18 - (-19) = 1

So the determinant of the matrix A is |A| = 1.

Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:

2    -7     1     2     -7

-1      0     2    -1     0

1      1     -3     1      1

and find the determinant of y:

[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to

-15 - (-17) = 2

So the detminant of y is |Ay| = 2

We can solve for the variable now by dividing Ay by A:

2 / 1 = 2

So the solution for y = 2

Answer:

15 ml.

Step-by-step explanation:

That is 3 * 5 ml = 15 ml in one day.

Answer:

h9978y

Step-by-step explanation:

Answer:

5280 ft

-----------      

1 mile

Step-by-step explanation:

We need to convert miles to feet and hours to seconds

1 mile = 5280 ft

and

1 hours = 3600 seconds

5280 ft

-----------      

1 mile

1 hour

----------

3600 seconds  but since this isn't an option

Answer:

There is a 9 out of 14 chance that the marble will be white or there is a 3 out of 5 chance along with a 6 out of 9 chance.

Step-by-step explanation:

Since there's a total of 14 marbles from both bags and there are a possible 9 white marbles, it would be a total of 9 out of 14, or it would be separate and be a 3 out of 5 chance with a 6 out of 9 chance.

Answer:

She has to cut another piece = 7.75 inches

Total length = 4x + 7.75

This is what y represent, so

y = 4x + 7.75

The graph of the equation is continuous

Answer:

63/65

Step-by-step explanation:

the angles are in fourth and third quadrants so all the sin and cos values are minus

Answer:

graph a: $10 dollars an hour

graph b: 10

Step-by-step explanation:

slope is calculated by rise over run ([tex]\frac{rise}{run}[/tex]) which means how many the line goes up divided by how many the line goes over (to the right)

negative slope is how many the line goes down divided by how many the line goes over (to the right)

Answer:

The answer to your question: Similar

Step-by-step explanatioN

i picked this answer because they have one comparison- same shape

what is comparison- the same features in something  between 2 objects or more

this also means similar

so it is similar

Answer:

Similar

Step-by-step explanation:

Answer:

14/28

Step-by-step explanation:

14/28 reduces down to 1/2

Answer:

Dorinda worked at Job A for 11 hours

Step-by-step explanation:

Step one

This is a word that leads to simultaneous.

Let us begin by modeling the system of equation from the problem

Let x and y be the number of hours worked in both jobs A and B respectively

Step two

x+y=30---------1

7.5x+8y=234.50----2

Solving the equations simultaneously we have

1. Multiplying equation 1 by 8 and equation 2 by 1 and subtracting from equation 2 to find y

8x+8y=240---------1

- 7.5x+8y=234.50----2

=0.5x=5.5

x=5.5/0.5

x= 11hrs

Substituting x=11 in equation 1 we can find y

11+y=30

y= 30-11

y= 19hrs

Answer:

3/6 of a bag of candy

Step-by-step explanation:

When you do butterfly method, u may have learned or not but u do.

3/10, 3/6

and you multiply across

So, 6x3=18 and 10x3=30

and 3/6 has a higher value, so its correct

Answer: 68

Step-by-step explanation: Each time the number goes up by 11, you can just add 22 ( 2 more steps to the sequence) to the last one given to get the 7th term

Answer:

Population = starting population * ( 1 + rate) ^ years

y = 370,000 * (1.079) ^ t

Step-by-step explanation:

Answer:

60 cm²

Step-by-step explanation:

a=c= 13 cm

b= 10 cm

A=?

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

A=bh/2

Answer:

$222

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

to add the two equations, you have to make sure that the y's are the same. you would do this by multiplying each equation by the other equation's y variable

Answer:

The triangle is an acute scalene triangle

Step-by-step explanation:

None of the sides have the same length so the triangle is scalene

All of the angles are less than 90 degrees so all of the angles are acute

The triangle is an acute scalene triangle

Answer:

32 units^2

Step-by-step explanation:

This is a trapezoid

The area of a trapezoid is found by

A = 1/2 (b1+b2) h

A = 1/2 ( 4+12) *4

A = 1/2 (16) *4

A =32

Answer:

I think the answer is 32.!

Step-by-step explanation:

Anyone please correct me if I'm wrong.

I would divide the 12 into 3 to get 4 for the 3 parts.

I will start with the triangle on the left 4 times 4=16. Divide it 1/2, which you get 8.

On the triangle on the right is the same, so 8.

The middle is 4 times 4=16.

Last 8+8+16=32.

I think the answer is 32 units.!

A prism is a three-dimensional shape with the same cross-section all the way through.

A prism is a solid shape that is bound on all its sides by plane faces.

A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

Hence, a prism is a three-dimensional shape with the same cross-section all the way through.

Learn more about prisms, click;

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So she needs sections that are 1/7th of a yard long

There are 7 'sevenths' in one yard

Multiply this value by the number of yards:

7 x 7 = 49

The answer would be D. 49

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Answer: 0.35%

Step-by-step explanation:

Given the following :

Advertised interest rate = nominal rate = 1.5%

Inflation rate = 1.15%

The real rate of return is calculated by:

[(1 + nominal rate) / ( 1 + inflation rate)] - 1

[(1 + (1.5/100)) / (1 + (1.15/100))] - 1

[(1 + 0.015) / ( 1 + 0.0115)] - 1

[ 1.015 / 1.0115] - 1

1.0034602 - 1 = 0.0034602

Real rate of return = (0.0034602 * 100)%

Real rate of return = 0.346%

Answer: 0.35%

Step-by-step explanation:

Answer:

ST/XY

Step-by-step explanation:

(RT/RX)/(RS/RY)= ST/XY

if the shapes are equal  and the same then the ratio are equal

if RT is corresponds to RX and RS is corresponds to RY then TS corresponds to TS

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 2x + 1

(a)

To evaluate f(2) substitute x = 2 into f(x), that is

f(2) = 2(2) + 1 = 4 + 1 = 5

(b)

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = x

change y back into terms of x and x = [tex]f^{-1}[/tex] (x) , thus

[tex]f^{-1}[/tex] (x ) = [tex]\frac{x-1}{2}[/tex]

(c)

To evaluate the inverse function substitute x = 7, that is

[tex]f^{-1}[/tex] (7) = [tex]\frac{7-1}{2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

[tex]\frac{30}{6+4}[/tex]

[tex]\frac{30}{10}[/tex]

[tex]=3[/tex]

[tex]3*6:3*4[/tex]

[tex]18:12[/tex]

Answer:

1 and 4

Step-by-step explanation:

1 and 4 are similar

have 3 congruent angles

Answer:

The figure is a composite shape.

Theres 1 triangle and 1 rectangle

The formula to find the area of the triangle is 1/2 x base x height

1/2 x 7 x 3 = 10.5 units^2

The formula to find the area of the rectangle is base x height

7 x 3 = 21 units^2

Then add up all the areas to find the area of the entire shape.

10.5 units^2 + 21 units^2 = 31.5 units^2

plz mark brainliest if this helped :)