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mart [117]
4 years ago
12

How would you write the following in interval notation:

Mathematics
1 answer:
Doss [256]4 years ago
7 0

Answer: x = (1,9]

Step-by-step explanation: If x is all real numbers greater than 1 (simply: x is greater but not equal to 1) then it is 1 < x. And if x is less than or equal to 9 then its x ≤ 9. To translate 1 < x ≤ 9 into interval notation, you need to keep in mind that parentheses are for these symbols: <>. And brackets are for these symbols: ≤≥. With that in mind, your answer is (1,9]. Also, keep in mind that interval notation goes from lowest value number to highest, so you wouldn’t write this notation as [9,1).

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What is the equation of the line that passes through the point (2,-1) and has a slope of 3/2
Assoli18 [71]

Answer:

y=3/2x-4

Step-by-step explanation:

y=3/2x+b

-1=3/2(2)+b

-1=3+b

-4=b

y=3/2x-4

5 0
3 years ago
Marne Shia walked 3/8 of a mile in 3/5 of an hour. What equation can be used to calculate her unit rate in miles per hour?
Dafna11 [192]

Answer:

speed = (3/8 mi)/(3/5 h)

Step-by-step explanation:

... speed = distance/time

Fill in the given values:

... speed = (3/8 mi)/(3/5 h)

_____

<em>Comment on units</em>

You can use the units to provide both guidance and assurance. You know speed is generally expressed in <em>miles per hour</em>. If you consider "per" to mean "divided by", this expression of units tells you speed is calculated by dividing miles by hours.

If you leave the units with the numbers, as we have above, they enter into the calculation the same way any variable might. You can do the arithemetic with the numbers, and you can indicate the arithmetic with the units (just as you would with any variables). Here, the result of evaluating the equation would be ...

\displaystyle\frac{\frac{3}{8}\,\text{mi}}{\frac{3}{5}\,\text{h}}=\frac{\frac{3}{8}}{\frac{3}{5}}\,\frac{\text{mi}}{\text{h}}=\frac{5}{8}\,\text{mi/h}

The fact that the units come out mi/h (the units of speed) provides assurance that you probably did the math correctly.

5 0
3 years ago
F(x)=-x^2+3 pls help
Paha777 [63]

Answer:

answer = -1

.-(-2)^2 +3 = -4 +3 = -1

3 0
3 years ago
What is the measure of B, in degrees?<br> A. 160<br> B. Cannot be determined<br> C. 74°<br> D. 329
Luden [163]

Answer:

32°

Step-by-step explanation:

The triangle ABC is a isosceles so angle A = angle C

The sum of interior angles in a triangle is = 180°

74 + 74 + angle B = 180

B = 32°

3 0
4 years ago
Read 2 more answers
What is the surface area of the following Rectangular prism? Express your answer in Square millimeters.
Svet_ta [14]

Answer:

8784 mm²

Step-by-step explanation:

15 cm = 150 mm

Surface area

= 2( 150 x 12) + 2(150 + 12)x16

= 3600 + 5184

= 8784 mm²

5 0
3 years ago
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