A line passes through (−1, 7) and (2, 10) what is the equation of the line?

Answer:

C) 30,80 PLATO

Step-by-step explanation:

This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.

Hopefully i helped and corrected the wrong answer up there!

This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80)  solution is valid within the context of the situation.

Given:

7x + 12y ≥ 1,000

x + y > 100

We need to determined the solution which  is valid within the context of the situation.

According to question,

A. (90,25)

Put this value in given both equation.

We get,

        630 + 300 [tex]\ngeqslant[/tex] 1000

   ⇒ 930 [tex]\ngeqslant[/tex] 1,000

       90 + 25 > 100

   ⇒ 115 > 100

B. (40,64.50)

        280 + 774 [tex]\geq[/tex] 1000

   ⇒  1054 [tex]\geq[/tex] 1000

       40 + 64.50 >100

   ⇒ 104.50 > 100

C. (30,80)

        210 + 960 [tex]\geq[/tex] 1000

   ⇒  1170 [tex]\geq[/tex] 1000

        30 + 80 = 110 >100

D. (200,-10)

       1400 -120 [tex]\geq[/tex] 1000

   ⇒ 1280 [tex]\geq[/tex]1000

       200 - 10 >100

  ⇒  190>100

Therefore, the correct option is (C), (30,80)  solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).

For more details, prefer this link:

https://brainly.com/question/11897796

Answer:

First space: 15

Second space: 20

Third space: 0

Fourth space: 20

Step-by-step explanation:

If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:

P(x) = (20 - x)*(30+3x)

P(x) = 600 +30x - 3x2

The vertical axis of the graph represents the profit P(x) of the florist.

So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15

Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)

The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.

Answer:

675

20

(0,20)

Step-by-step explanation:

Answer:

Correct answers:

A. An angle that measures [tex]\frac{\pi}{6}[/tex]  radians also measures  [tex]30^o[/tex]

C. An angle that measures [tex]180^o[/tex]  also measures [tex]\pi[/tex]  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians[/tex]

Therefore we can investigate each of the statements, and find that when we have a [tex]\frac{\pi}{6}[/tex]  radians angle, then its degree formula becomes:

[tex]\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o[/tex]

also when an angle measures [tex]180^o[/tex]  , its radian measure is:

[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi[/tex]

The other relationships are not true as per the conversion formulas

Answer:

the person abive is correct jzt to confirm

Answer:

The answer is 7x²

Step-by-step explanation:

Since we have to add the two polynomials together, we write it as A+B=7x²+3xy-3xy. Now, we simplify, and we are left with A+B=7x²

Answer:

l = 20 cm

w = 12 cm

Step-by-step explanation:

P = 64 = 2w + 2l

2w = 4 + l

64 = 4 + l  + 2l

64 - 4 = 3l

3l = 60

l = 20 cm

2w = 20 + 4

2w = 24

w = 12 cm

Answer:

The first option, RT.

Step-by-step explanation:

Answer:

Sin 3A = 1

cos 3A = 0

tan 3 A = undefined

Step-by-step explanation:

[tex]\sin A = \frac{1}{2} \\ \therefore \: \sin A = \sin \: 30 \degree.. \bigg( \because \: \sin \: 30 \degree = \frac{1}{2} \bigg) \\ \therefore \: A = 30 \degree \\ \\ now \\ \sin 3A =\sin (3 \times 30 \degree)= \sin \: 90 \degree = 1 \\ \\ \cos 3A =\cos (3 \times 30 \degree)= \cos \: 90 \degree = 0\\\\ \tan 3A =\tan (3 \times 30 \degree)= \tan \: 90 \degree = \infty [/tex]

Answer:

y= 201/40

Step-by-step explanation:

y=k (x÷z)

5 = (3÷4)k

cross multiply

20=3k

k= 6.7 or 67÷10

y = 6.7 (x÷z) the law

y = (6÷8) × 6.7

y = 0.75 ×6.7

y= 5.025 or 201÷40

Answer:

-12

Step-by-step explanation:

Each number is multiplied by -3 to get the next number. 4*(-3)=-12.

The answer is The third angle measures 120 degrees

Step-by-step explanation:

I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.

Answer:

y= 71   Reason: alternate angle to 71 degrees

z = 44

Step-by-step explanation:

You already solve for x.

y = 71 because it is alternate to 71 degrees you see up there.

For z:

all angles inside a triangle sum upto 180

z=180-(71+65) = 44

Answer:

see below

Step-by-step explanation:

a rigid transformation preserves lengths and angles

if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation

if the corresponding angles are the same that works too

Answer:

∠J and ∠K form a linear pair.

Step-by-step explanation:

If angles J and K are supplementary and adjacent, then they form what is known as a linear pair.

"Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)" -mathopenref

Answer:

x=12/5

Step-by-step explanation:

2(2.5x+8)=26

5x+14=26

5x=12

x=12/5

Answer:

The value of [tex]x[/tex]:

[tex]x = 2[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

[tex]2.5x + 8 = \frac{26}{2}[/tex]

-Divide [tex]26[/tex] by [tex]2[/tex]:

[tex]2.5x + 8 = \frac{26}{2}[/tex]

[tex]2.5x + 8 = 13[/tex]

-Subtract both sides by [tex]8[/tex]:

[tex]2.5x + 8 - 8 = 13 - 8[/tex]

[tex]2.5x = 5[/tex]

-Divide both sides by [tex]2.5[/tex]:

[tex]\frac{2.5x}{2.5} = \frac{5}{2.5}[/tex]

Expand to the form [tex]\frac{5}{2.5} = 2[/tex] by multiplying both the numerator and the denominator by [tex]10[/tex]:

[tex]\frac{5}{2.5} = 2[/tex]

[tex]x = \frac{50}{25}[/tex]

Then, you divide [tex]50[/tex] by [tex]25[/tex]:

[tex]x = \frac{50}{25}[/tex]

[tex]x = 2[/tex]

So, the final answer would be [tex]x = 2[/tex] .

Answer:

62.5 in cubed

Step-by-step explanation:

The formula is l*w*h divided by 3

5*5= 25

and 25*7.5= 187.5

187.5/3= 62.5

Pls mark brainliest!!

Answer:

[tex]62.5 {in}^{3} [/tex]

Step-by-step explanation:

[tex]v = \frac{whl}{3} \\ = \frac{5 \times 5 \times 7.5}{3} \\ = 62.5 {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1. 200 cm

2. 2463.01 cm

3. 1275 cm

4. 346.67 cm

5. 1526.81 cm

Step-by-step explanation:

volume for square is l times w times h

volume for cylinder is pi times r times 2 times h

volume for square pyramid is a2h/3

volume for rectangular pyramid is l times w times h divided by 3

Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.

Area of a Rectangle = b x h

So, to find the height, we would reverse it by dividing the area by the base.

Work:

345/15 = 23

So, 23 would be our height.

Thus, the height of the rectangle is 23 millimeters.

Answer:

23 millimeters

Step-by-step explanation:

The area of a rectangle can be found using the following formula.

a=b*h

We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.

a=345

b=15

Substitute these variables into the formula.

345=15*h

We want to find out what the height, or h is.  In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.

345/15=15*h/15

345/15=h

23=h

Add appropriate units. In this case, the units are millimeters.

h=23 millimeters

The height of the rectangle is 23 millimeters.

19/6

Step-by-step explanation:

3/4 + 5/3 +3/4

3/4 + 3/4 = 3/2

3/2 + 5/3 =19/6 or 3.16....

Answer:

y= -x^2+5

Step-by-step explanation:

It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5

Hope this helped!

Answer:

$4

Step-by-step explanation:

Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!

Answer:

Step-by-step explanation:

Suppose the car mileage actually varies slightly with the driving speed of the car

Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per​ hour,

and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.

The driving time for a 2500​-mile trip if you drive at an average speed of 54 miles per​ hour

[tex]= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.[/tex]

The driving time for a 2500​-mile trip if you drive at an average speed of 65 miles per​ hour

[tex]= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.[/tex]

Answer:

12/36 = 1/3

Step-by-step explanation:

draw a possibility diagram or table where you get the possible outcomes. 1 to 6 along the bottom and 1 to 6 across.

you will results such as 11 12 13 14 15 16

21 22 23 24 25 26

and so on.

Then, you total up each of them and will get

2 3 4 5 6 7 from the first row

3 4 5 6 7 8 from 2nd row

and so on.

from the final results, count how many are multiples of 3.

we should get 12 and over total possible outcomes which is 36, since it's a 6 by 6 table.

Answer:

[tex]7(x + 3)[/tex]

Step-by-step explanation

thinked number = x

add 3 = +3

[tex]x + 3[/tex]

multiply the result by 7

[tex]7( x+ 3)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]-\frac{4}{5}[/tex] × [tex]\frac{6}{7}[/tex] = [tex]-\frac{24}{35}[/tex]

Step-by-step explanation:

It's just like regular multiplication:

[tex]\frac{Numerator}{Denominator}[/tex]

Numerator:

-4 × 6 = -24

Denominator:

-5 × 7 = -35

Answer:

(2x−3)(x−5)

Step-by-step explanation:

Factor 2x^2−13x+15

2x^2−13x+15

=(2x−3)(x−5)

hope this helps

-lvr

Answer:

Factored: (2x-3)(x-5)

Solving with quadratic formula: X= 5, 3/2

Step-by-step explanation:

Answer:

Bias.

Step-by-step explanation:

It contains bias because its forcing people to pick the "cool" mom car in stead of the "soccer mom" car.

Answer:

I hope this helps.

Step-by-step explanation:

Answer:

Options B, C and D.

Step-by-step explanation:

Those are the answers because when you solve the equation, the same values are on both sides of the equation. example option B;

-19x -19 = -19x-19

Add 19 to both sides of the equation to get rid of -19

-19x -19 +19 =-19x -19 +19

Divide both sides by -19

[tex]\frac{-19x}{-19} = \frac{-19x}{-19}[/tex]

x = x

Answer:

previous speed of the aeroplane is 500 km/hr

Step-by-step explanation:

Given: Distance covered by  aeroplane = 1500 km

It covers the same distance in a time which is half an hour less than the previous time if the speed is increased by 100 km/hr

To find: previous speed of the aeroplane

Solution:

Let x denotes the previous speed of the aeroplane.

Time taken by an aeroplane if speed is x km/hr = distance/speed = [tex]\frac{1500}{x}[/tex] hours

If speed is increased by 100 km/hr, new speed = (x + 100) km/hr

Time taken by an aeroplane if speed is (x + 100) km/hr = [tex]\frac{1500}{x+100}[/tex] hours

According to question,

[tex]\frac{1500}{x+100}=\frac{1500}{x}-\frac{1}{2}\\ \frac{1500}{x}-\frac{1500}{x+100}=\frac{1}{2} \\\frac{1}{x}-\frac{1}{x+100}=\frac{1}{3000}\\ \frac{x+100-x}{x(x+100)}=\frac{1}{3000}\\ x^2+100x=300000\\x^2+100x-300000=0\\[/tex]

[tex]x^2+600x-500x-300000=0\\x(x+600)-500(x+600)=0\\(x-500)(x+600)=0\\x=500\,,\,-600[/tex]

As speed can not be negative, [tex]x=-600[/tex] is rejected.

So,

previous speed of the aeroplane is 500 km/hr

Answer:

By the Pythagorean Theorem

[tex]DB=\sqrt{AD^2+AB^2}=\sqrt{8.9^2+17.6^2 } =19.72232[/tex]

In the figure triangles ABD(red) and ADE(green) are similars because:

AED=DAB=90

ADE common angle

Then  [tex]\frac{AD}{BD}= \frac{AE}{AB}=\frac{DE}{AD}[/tex]

[tex]b=AE=\frac{AD\times AB}{BD}= \frac{8.9\times 17.6}{19.72}=7.94227[/tex]

Answer:

x value is 10 as per as the question its value is 10