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Scorpion4ik [409]
1 year ago
9

Which graph shows the solution to the system of linear inequalities? x + 3y > 6 y ≥ 2x + 4 PLEASE HELP

Mathematics
2 answers:
Vadim26 [7]1 year ago
4 0

Answer:

Last Graph is the Answer

Step-by-step explanation:

Andrei [34K]1 year ago
3 0

Answer:

x + 3y > 6

Step-by-step explanation:

Find two points that satisfy x + 3y = 6 and draw a DASHED line through them.

It is greater than so shade the section ABOVE that line.

Using the intercept method, the two points I chose are: (0, 2) & (6, 0)

y ≥ 2x + 4

Find two points that satisfy y = 2x + 4 and draw a SOLID line through them.

It is greater than so shade the section ABOVE that line.

The two points I chose are: (0, 4) & (1, 6)

The solution is where the shaded sections overlap.

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At a large conference of teachers from a variety of subjects, a random sample of 50 mathematics teachers attending the conferenc
melamori03 [73]

Answer:

C. All mathematics teachers who have taken one or more courses in statistics

5 0
1 year ago
A school teacher is worried that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the s
marin [14]

Answer:

H0 ; μ ≤ 4 pCi/L

Ha ; μ > 4 pCi/L

The null hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is less than or equal to the safe level of 4pCi/L

H0 ; μ ≤ 4 pCi/L

The alternative hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L.

Ha ; μ > 4 pCi/L

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

The null hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is less than or equal to the safe level of 4pCi/L

H0 ; μ ≤ 4 pCi/L

The alternative hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L.

Ha ; μ > 4 pCi/L

7 0
2 years ago
I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.
masha68 [24]

Answer: y = 3x + 60

<u>Step-by-step explanation:</u>

Set up two equations and solve the system:

 270 = 70x + b

- <u>(150 = 30x + b)</u>

  120 = 40x

    3   =  x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b


Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student


5 0
2 years ago
△HKS∼△DLY<br><br><br><br> What is DY<br><br> ?<br><br> Enter your answer, as a decimal, in the box.
Triss [41]
The answer is 41 inches. Since <span>△HKS∼△DLY, so the measurements of the angles are just the same. So if the sides are   15 x 20 x 32. Then to get the sides of the other triangle is simply adding what is the measurement of the sides from the first triangle. so it is 24 x 29 x 41. So the answer of DY is equal to 41 inches.</span>
7 0
2 years ago
Read 2 more answers
Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the mi
timama [110]

Answer:

(a)The missing measurements are 9 feet and 16\frac{1}{4}$ feet.

(b)Therefore, the length of the fence is  97\frac{1}{2}$ feet

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet

Similarly:

x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet

The missing measurements are 9 feet and 16\frac{1}{4}$ feet.

(b)Length of the Fence

The fence is rectangular shaped with:

Length = 31\frac{1}{2}$ feet

Width = 17 \frac{1}{4}$ feet

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet

8 0
2 years ago
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