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drek231 [11]
1 year ago
7

Which statements are true about the graph of y < Two-thirdsx + 1? Check all that apply. The slope of the line is 1. The line

is solid. The area below the line is shaded. A solution to the inequality is (2, 3). The x-intercept of the boundary line is (Negative three-halves, 0).
Mathematics
2 answers:
Marina CMI [18]1 year ago
8 0

The answer would be:

The x-intercept of the boundary line is (-3/2, 0).

The area below the line is shaded.

The slope of the line should be 2/3. The area below the line shaded because the function using y<.....

Coordinate 2,3 doesn't fulfill the function. 

y < 2/3x + 1

3 < 2/3(2)+1

3< 4/3+1

3< 2.3    ---->false

X intercept is when the y variable is zero. If you put it to the equation

 y = 2/3x + 1

0= 2/3x+1

2/3x= -1

x= -3/2

Nata [24]1 year ago
4 0

Answer:

itsss C and E

Step-by-step explanation:

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Cheri took out a loan for $14,350. The loan term was 3 years and Cheri’s payments were $625.77 per month. Since Cheri had filed
melamori03 [73]

Answer:

You are correct.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water
dedylja [7]

Answer:

Step-by-step explanation:

Since a large ice chest holds the water = 62 liters

And smaller chest holds the water = \frac{4}{5} of the larger ice chest

                                                         = \frac{4}{5}\times 62

                                                         = \frac{248}{5} liters

Therefore, fraction that represents the amount of ice water in the smaller ice chest will have 0 in the first box, 248 in the numerator and 5 in the denominator.

0\frac{248}{5}

6 0
2 years ago
If ray NP bisects &lt;MNQ, m&lt;MNQ=(8x+12)°, m&lt;PNQ=78°, and m&lt;RNM=(3y-9)°, find the value of x and y
aksik [14]

Step 1

<u>Find the measure of angle x</u>

we know that

If ray NP bisects <MNQ

then

m<MNQ=m<PNM+m<PNQ ------> equation A

and

m<PNM=m<PNQ -------> equation B

we have that

m<MNQ=(8x+12)°

m<PNQ=78°

so

substitute in equation A

(8x+12)=78+78-------> 8x+12=156------> 8x=156-12

8x=144------> x=18°

Step 2

<u>Find the measure of angle y</u>

we have

m<PNM=(3y-9)°

m<PNM=78°

so

3y-9=78------> 3y=87------> y=29°

therefore

<u>the answer is</u>

the measure of x is 18° and the measure of y is 29°


7 0
2 years ago
On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is
sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

  • Point P is at (4, 2),
  • Point Q is at (8, 5),
  • Point R is at (5, 9), and
  • Point S is at (1, 6)

Midpoint of SQ =\frac{1}{2}(1+8,5+6)=(4.5,5.5)

Midpoint of PR =\frac{1}{2}(4+5,2+9)=(4.5,5.5)

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

  • Slope of RP =7
  • Slope of SQ  =-\dfrac17

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

6 0
2 years ago
Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
alexandr1967 [171]

Given :

A = 25000

P = 20000

r % = 9.6 % = 0.096

n = 12

To Find :

The time taken say t.

Solution :

We know, compound interest is given by :

A=P(1+\dfrac{r}{n})^{n.t}

Taking log both sides :

A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years

Hence, this is the required solution.

5 0
2 years ago
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