what slope would make the lines parallel?

Answer:

A: x= -1 or x=3

B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)

Step-by-step explanation:

x^2 -2x -3 =0

Factor

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

Using the zero product property

x-3 =0   x+1 =0

x=3  x=-1

The zeros are

(3,0) (-1,0)

It intersects the x axis at (3,0) (-1,0)

Answer:

The mass of half a liter of water is 500g, that is, 0.5kg.

Step-by-step explanation:

Density is mass divided by the volume, that is:

[tex]d = \frac{m}{v}[/tex]

Here, we have to be careful. Since the density is in grams per cm³, m has to be in grams and v in cm³.

We have that:

[tex]d = 1[/tex]

What is the mass of half a liter of water?

One liter is 1000 cm³.

So half a liter is 1000/2 = 500 cm³, which means that [tex]v = 500[/tex]

Then

[tex]d = \frac{m}{v}[/tex]

[tex]1 = \frac{m}{500}[/tex]

[tex]m = 500[/tex]

The mass of half a liter of water is 500g, that is, 0.5kg.

Answer:

B). 3 1/2(-2) = -7

Step-by-step explanation:

Let's evaluate the expression so as to be able to get the right estimate.

3 4/7 (-2 1/12)

=3 4/7 (-25/12)

= 25/7 * -25/12

= 25/7 * -25/12

= -625/84

= -7 37/84

Approximately it's equal to ,-7

Answer:

b  

Step-by-step explanation:

got  it right on edge

Answer:

[See Below]

Step-by-step explanation:

Point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

'm' is the slope

(x1, y1) is a coordinate point.

Slope is rise over run. [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-1,5) and (3,-3).

[tex]\frac{-3-5}{3-(-1)}=\frac{-8}{4}= -2[/tex]

The slope of the line is -2.

I will use (-1,5) as the point:

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-5=-2(x+1)}[/tex]

Slope intercept is: [tex]y=mx+b[/tex]

'm' - Slope

'b' - y-intercept

We can use the point slope equation to convert it into slope intercept form:

[tex]y-5=-2(x+1)\\\\y-5=-2x-2\\\\y-5+5=-2x-2+5\\\\\boxed{y=-2x+3}[/tex]

Standard form is [tex]Ax+By=C[/tex]

Using out slope intercept form equation:

[tex]y=-2x+3\\\\y+2x=-2x+2x+3\\\\1y+2x=3\\\\\boxed{2x+1y=3}[/tex]

Answer:

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

Next, we make P the subject of the equation above.

2P=E-5S

[tex]P=\dfrac{E-5S}{2} \\P=0.5(E-5S)[/tex]

Therefore, The quantity of pizza he buys can be represented by the equation:

When E=$40, we are required to complete the table below.

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|[/tex]

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]

Answer:

C. 7.5

Step-by-step explanation:

I took the quiz on EDGE

If the first term of the sequence is 120, then f(5) will be 7.5

The steps are as follow:

So if the first term of the sequence is 120, then f(5) will be 7.5

Learn more about recursively sequence here:

https://brainly.com/question/1275192

#SPJ2

Answer:

[tex] P(X=3)[/tex]

And we can use the probability mass function and we got:

[tex]P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091[/tex]

Then the probability that all three have a smart phone is 0.091

Step-by-step explanation:

Let X the random variable of interest "number of students with smartphone", on this case we now that:

[tex]X \sim Binom(n=3, p=0452)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex] P(X=3)[/tex]

And we can use the probability mass function and we got:

[tex]P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091[/tex]

Then the probability that all three have a smart phone is 0.091

Answer:

$23.64

Step-by-step explanation:

Each package of seeds cost $1.97, and Maire bought and planted 12 packages. You would do 12 x 1.97 to get 23.64

Answer:

$23.64

Step-by-step explanation:

$1.97 × 12

$23.64

Hope this helps...

Answer:

Volume: 1080

Surface area: 654

Step-by-step explanation:

Part A:

How to solve surface Area: 2×(9×15 + 9×8 + 15×8)

How to solve volume: 9x15x8

Part B:

Surface Area

Part C:

Volume

Hope this helps

Answer: £625,000

Step-by-step explanation:

Previous year's profit can be calculated as:

700000 / 1.12 = 625000

The profit that should make a year before should be  £625,000.

Given that

So the profit that should make a year before should be

[tex]= \frac{700,000}{(1 + 0.12)} \\\\= \frac{700,000}{(1.12)}[/tex]

=  £625,000

Therefore we can conclude that The profit that should make a year before should be  £625,000.

Learn more about the profit here: brainly.com/question/9281343

Answer:

B, C and D

Step-by-step explanation:

Given:

Statement: "Every integer has an additive inverse"

To find: statement that is equivalent to the given statement

Solution:

For any integer x, if [tex]x+y=0[/tex] then y is the additive inverse of x.

Here, 0 is the additive identity.

Statements ''All integers have additive inverses '', '' If x is an integer, then x has an additive inverse'' and  ''Given an integer x, there exists a y such that y is the additive inverse of x'' are equivalent to the given statement "Every integer has an additive inverse".

Answer:

189

Step-by-step explanation:

9 choose 4 = (9 x 8 x 7 x 6 )/(4 x 3 x 2 x 1)=189

:D 189 ways

Answer:189

Step-by-step explanation:

Answer:

x=10 and x-7 is the answer

Step-by-step explanation:

a)2x-7=13

2x=13+7

2x=20

x=20/2

x=10

b)3x+4=25

3x=25-4

3x=21

x=21/3

x=7

i hope it will help you

Answer:

a) [tex]x=10[/tex]

b) [tex]x=7[/tex]

Step-by-step explanation:

a)

2x-7=13

Add 7 to both sides

2x=20

Divide both sides by 2

x=10

b)

3x+4=25

Subtract 4 from both sides

3x=21

Divide both sides by 3

x=7

Answer:

A. [tex](2b+7)^2[/tex]

Step-by-step explanation:

[tex]4b^2 +28b + 49\\=(2b)^2 + 2\times 2b\times 7 + (7)^2\\=(2b+7)^2[/tex]

Answer:

C. 2.75P

Step-by-step explanation:

The original value was P.

It increased by 275%. That means it increased by 275% of P.

275% of P = 2.75P

The increase in value is 2.75P.

Now we add the increase to the original value of P to find today's value.

2.75P + P = 3.75P

Answer: C. 2.75P

Answer:

[tex] 2 \sqrt{21} is \: the \: ans[/tex]

Step-by-step explanation:

given;abc is a right angled triangle.

by takingr eference reference angle c

p=ab=? ,h=bc=10 ,b=ac=4.

by the Pythagoras relation we get;

[tex]p = \sqrt{h {}^{2} - b {}^{2} } [/tex]

so ,p=

[tex] \sqrt{10 {}^{2} - 4 {?}^{2} } [/tex]

==

=

[tex] = 2 \sqrt{21} [/tex]

is ans

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

[tex]( {n}^{3} )^{2} = {n}^{6} = n \times n \times n \times n \times n \times n [/tex]

Answer:

n x n x n x n x n x n

Step-by-step explanation:

(n^3)^2 = n^6 = n x n x n x n x n x n

Answer:

[tex]-15.11[/tex]

Step-by-step explanation:

[tex]-12.48-(-2.99)-5.62=\\-12.48+2.99-5.62=\\-9.49-5.62=\\-15.11[/tex]

Answer:

-15.11

Step-by-step explanation:

-12.48+2.99-5.62=

-9.49 - 5.62= - (9.49+5.62)=-15.11

Answer:

65

Step-by-step explanation:

We know that,

The Sum of all angles of the triangle is 180°.

As given in the question,

Triangle PQR is similar to Triangle WXY

Therefore ,

Let the third angle be 'x'.

35° + 80° + x = 180°

115 + x = 180°

x = 180° - 115°

x = 65°.

Hence, 65° is the appropriate answer to the question.

I hope my answer helped!!

Answer:

130 women

Step-by-step explanation:

First set up a system of equations:

1.23W+2.50M=365.00

W+M=211

Using substitution you get:

1.25W+2.50(211-W)=365.00

Simplify:

-1.25W=-162.5

Divide:

W=130

Answer:

  False

Step-by-step explanation:

Dilation changes the side lengths, but not the angles. The given statement is FALSE.

Answer:

Step-by-step explanation:

a) H0: μ = 10

Ha: μ ≠ 10

This is a two tailed test

n = 13

Since α = 0.01, the critical value is determined from the t distribution table. Recall that this is a two tailed test. Therefore, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

The critical value is 3.012

The rejection region is area > 3.012

b) Ha: μ > 10

This is a right tailed test

n = 23

α = 0.1

We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α

1 - α = 1 - 0.1 = 0.9

The critical value is 1.319

The rejection region is area > 1.319

c) Ha: μ > 10

This is a right tailed test

n = 99

α = 0.05

We would reject the null hypothesis if the test statistic is greater than the table value of 1 - α

1 - α = 1 - 0.05 = 0.95

The critical value is 1.66

The rejection region is area > 1.66

d) Ha: μ < 10

This is a left tailed test

n = 11

α = 0.1

We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α

1 - α = 1 - 0.1 = 0.9

The critical value is 1.363

The rejection region is area < 1.363

e) H0: μ = 10

Ha: μ ≠ 10

This is a two tailed test

n = 20

Since α = 0.05, we would find the critical value corresponding to 1 - α/2 and reject the null hypothesis if the absolute value of the test statistic is greater than the value of t 1 - α/2 from the table.

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

The critical value is 2.086

The rejection region is area > 2.086

f) Ha: μ < 10

This is a left tailed test

n = 77

α = 0.01

We would reject the null hypothesis if the test statistic is lesser than the table value of 1 - α

1 - α = 1 - 0.01 = 0.99

The critical value is 2.376

The rejection region is area < 2.376

Answer:

(A)$10,500

Step-by-step explanation:

Joe contributed $6000 out of a salary of $50,000.

6% of $50,000=$3000

Since his employer matches 100% of his contributions for the first 6%:

The employer adds $3000.

For the other $3000, Jose's employer matches 50%.

Therefore, the employer adds:

50% X 3000=$1500

Total Contribution by Jose's Employer = $3000+1500=$4500

Therefore, the total amount that was contributed to Jose's account last year

=Joe's Contribution + Employer's Contribution

=6000+4500

=$10,500

The correct option is A.

The correct answer is $10,500.

Answer:

The price per ounce should have been 1.25 per ounce

Step-by-step explanation:

The price per ounce should have been 1.25 per ounce

-google

(found it online)

XD - don't delete/report!

Answer:

1.25

Step-by-step explanation:

Answer: D. [tex]y+4=(x+2)[/tex]

Step-by-step explanation: Once you subtract [tex]4[/tex] from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as [tex]y=mx+b[/tex]), you end up with [tex]y=x-2[/tex], which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just [tex]x[/tex].

Answer:

96mm

Step-by-step explanation:

4 times 4 will give you the area of one face of a square, which is 16. Squares have 6 faces, so multiply 16 times 6, to get 96mm.

Answer:

96mm  

Step-by-step explanation:

4* 4=16

Also, will give you the area of one face of a square. Squares have 6 faces, so multiply 16*6, which equals 96 mm.

Answer:

(D)0.9836

Step-by-step explanation:

There are 365 days in a year.

Since each person has a different birthday:

Therefore,

P(4 randomly selected people all have different birthdays)

[tex]=\dfrac{365}{365} \times \dfrac{364}{365} \times \dfrac{363}{365} \times \dfrac{362}{365}\\\\=0.9836[/tex]

Answer:

B

Step-by-step explanation

90% of 18% = .9*.18 = 0.162 = 16.2%

So 18 - 16.2 = 1.8 = 18% of them labeled as not defective  

are actually defective.

Please mark me brainliest!

Answer:

1.8%

Step-by-step explanation:

90% × 18% = 16.2%

18% - 16.2% = 1.8%

1.8% is the probability of an incorrect conclusion.