Jacob has a bag of marbles that contains 12 red, 5 blue, 8 green.

What is the probability he will select a blue marble?

Answer:

See bolded below.

Step-by-step explanation:

As you said, you only need help with no. 2:

a) Check the attachments for the lines

b) The equations are, respectively:

y = -4x + 1 [intersects parabola at 1 point]

Check:

[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+1\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-4x+1=\left(x-2\right)^2-3\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-4x+1=x^2-4x+1\end{bmatrix}[/tex]

[tex]x^2=0, x = 0[/tex]

[tex]y=-4\cdot \:0+1 = 1[/tex]

[tex]y=1,\:x=0[/tex]

The point of intersection would be (0, 1)

y = -4x + 3 [intersects parabola at 2 points]

Check:

[tex]\begin{bmatrix}y=\left(x-2\right)^2-3\\ y=-4x+3\end{bmatrix}[/tex]

Subtract the 2 equations,

[tex]y=\left(x-2\right)^2-3\\-\\\underline{y=-4x+3}\\y-y=\left(x-2\right)^2-3-\left(-4x+3\right),\\0=x^2-2\\x = \sqrt{2}, x = - \sqrt{2} \\\\\mathrm{Plug\:the\:solutions\:}x=\sqrt{2},\:x=-\sqrt{2}\mathrm{\:into\:}y=\left(x-2\right)^2-3[/tex]

[tex]\begin{pmatrix}x=\sqrt{2},\:&y=3-4\sqrt{2}\\ x=-\sqrt{2},\:&y=3+4\sqrt{2}\end{pmatrix}[/tex]

Therefore the points of intersection are (√2, 3-4√2) and (-√2, 3+4√2) respectively

And finally we have the equation y = - 4x. It doesn't intersect the parabola.

c) The y-intercepts of such graphs are all less than or equal to 0.

Answer:

C

Step-by-step explanation:

Answer:

13.2

Step-by-step explanation:

hope this helped

Answer:

13 3/4

Step-by-step explanation:

11 x 5/4 = 55/4 = 13 3/4

check:

13 3/4 x 4/5 = 55/4 x 4/5 = 210/20 = 11

Answer:

$81.15

Step-by-step explanation:

Answer:

1/6 inch per hour

Step-by-step explanation:

1/2 ÷3= 1/6

Answer:

Up and to the left.

Step-by-step explanation:

I checked it on desmos graphing calculator

Answer:

60

Explanation:

the formula for calculating the average grade would be the total score of all students ÷ the number of students. in this case, that would be:

(100 + 50 + 50 + 50 + 50) ÷ 5

= 300 ÷ 5

= 60

so, the average grade is 60.

i hope this helps! :D

Answer:

Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.

Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.

Work for Triangle C: Same as B.

Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.

Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.

Answer:

First Problem: 200 ft/hour Second Problem: 3 ft/hour

Step-by-step explanation:

R = D/T

So, 800/4=200

We will check if the rate matches for the second example rate:

1400/12=200. It does, so we know we are correct

Problem 2:

R = D/T

90/30=3

Hope it helps.

Answer:

100

Step-by-step explanation:

399/100= 3.99

im honestly not sure how to explain it.

Answer:

[tex]88 \\ \\ \\ 25 - 3 = 22 \\ 22 \div 25 \times 100 = 88\%[/tex]

Answer:

The solution is (-4,-1)

Step-by-step explanation:

The solution to the system is where the two graphs intersect.

The lines intersect at x = -4 and y = -1

The solution is (-4,-1)

Answer:

79

Step-by-step explanation:

Answer:

SO WE KNOW THE RADIUS OF EACH SEMI CIRCLE IS 45. SO NOW :

YOU ARE GOING TO ADD THE AREA OF BOTH HALF CIRCLES TO THE AREA OF THE RECTANGLE.

= 26,217FT SQ.

Answer:

C, 19858.5 [tex]ft^2[/tex]

Step-by-step explanation:

Imagine that these are two semi-circles on either side of a rectangle

the diameter of the semi circle is 90, and the radius is half of the diameter.

this means the radius is 45 (for both circles)

so now lets apply that to the area of a full circle, [tex]\pi r^2[/tex]

replace r with the radius [tex]\pi 45^2[/tex]

using 3.14 as pi, your answer should be 6358.5

but now remember that his is the area of a full circle, not a semi circle, so we must divide by 2 to get the semi circle area, which would then be 3179.25

since there's two semi circles, you would multiply this by two and now you're back to 6358.5

if that was confusing you can think of it as a full circle split into two parts on either side of the rectangle rather than two semicircles, so the two split pieces would add together to make the area of a full circle

now calculate the area of the rectangle, which is length times width

150 * 90 = 13500

so add the area of the rectangle to the area of the two semicircles and the answer is 19,858.5 :)

Answer:

It's called the cross multiply rule. The rule is shown below: This formula says that if the numerator of one fraction times the denominator of the other fraction equals the denominator of the first fraction times the numerator of the second fraction, then the fractions are equivalent.

Step-by-step explanation:

Answer:

i think the answer is 174

Answer:

C. 70 = 10x

E. 15x = 105

Step-by-step explanation:

x = 7

Using method of elimination;

A. X + 7 = 17

Substituting the value of x;

7 + 7 ≠ 17 (Incorrect option)

B. 7 = 17 - x

Substituting the value of x;

7 ≠ 17 - 7  (Incorrect option)

C. 70 = 10x

Substituting the value of x;

70 = 10 * 7  (Correct option)

D. X/35 = 5

Substituting the value of x;

7 / 35 ≠ 5  (Incorrect option)

E. 15x = 105

Substituting the value of x;

15 * 7 = 105  (Correct option)

Answer:

[tex]\angle EAB = 85[/tex]

Step-by-step explanation:

Given

[tex]\angle EBC = 148[/tex]

[tex]\angle ADC = 63[/tex]

See attachment for triangle

Required

Find EAB

[tex]\angle AEB = \angle ADC = 63[/tex]  --- corresponding angles

[tex]\angle ABE + \angle EBC = 180[/tex] --- angle on a straight line

So:

[tex]\angle ABE + 148 = 180[/tex]

This gives:

[tex]\angle ABE =- 148 + 180[/tex]

[tex]\angle ABE =32[/tex]

Considering: [tex]\triangle ABE[/tex]

[tex]\angle ABE +\angle AEB +\angle EAB = 180[/tex] --- angles ina triangle

So:

[tex]32 +63+\angle EAB = 180[/tex]

[tex]95+\angle EAB = 180[/tex]

Collect like terms

[tex]\angle EAB = 180-95[/tex]

[tex]\angle EAB = 85[/tex]

Answer:

-36x+9

Step-by-step explanation:

so for this question they want you to simplify the expression and to do that you distribute -12 to what is in the parenthesis

-12x3x=-36x

-12x-3/4=9

so the answer is -36x+9

have a great day :D

Answer:

r * 10

Step-by-step explanation:

* stands for multiplying.

Answer:

75

Step-by-step explanation:

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

Answer:

huh?

Step-by-step explanation:

Is this a question or what??

Answer: 93 centimeters

Step-by-step explanation:  Its 93 cm because 2 metres is equivalent 200 cm, so 200-107= 93.