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Tomtit [17]
3 years ago
5

Graph each inequality on a number line.

Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

Answer:

Create a black dot that is filled in, then an arrow going towards the right.

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Contains the point (-1, 2) and is parallel to<br> x – 2y = -3
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = \frac{1}{2} x + \frac{3}{2} ← in slope- intercept form

with m = \frac{1}{2}

• Parallel lines have equal slopes, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - \frac{1}{2} + c ⇒ c = 2 + \frac{1}{2} = \frac{5}{2}

y = \frac{1}{2} x + \frac{5}{2} ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0
3 years ago
Heather can complete two problems in ten minutes, and when she started she had three problems done. Joel can complete three prob
Hunter-Best [27]
If Heather can do 2 in 10 minutes, then that means that she can do 12 in 1 hour. If Joel can do 3 in 15 minutes, then it means that he can do 12 in 1 hour. Add the number of problems they can do total and that will go between 30 and 50. It is just "less than", not "less than or equal to" because you want to know when the total number goes between the numbers.
Therefore, the correct answer must be <span>30 < 24x + 5 < 50.</span>
3 0
3 years ago
PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annua
White raven [17]

Answer:

First and Second option choices

Step-by-step Explanation:

1st case:

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)×

y = 500(1+2.5/100)×

y = 500(1+0.025)×

y = 500(1.025)×

2nd case:

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)×

y = 400(1+0.02)×

y = 400(1.02)×

8 0
3 years ago
Choose the phrase that correctly completes this sentence.
alisha [4.7K]

Answer:

both loans and credit have to be paid back by the borrower

Step-by-step explanation:

5 0
2 years ago
Simplify square root<br>​
Tasya [4]

Answer:

Here is the rule: when a and b are not negative

√(ab) = √a × √b

Example: simplify √8

√8 = √(4×2) = √4 × √2 = 2√2

(Because the square root of 4 is 2)

In other words 2 x 4 = 8 = √2 x 4 but 4 can be simplified more (2 x 2) so 2 (previous 4) moves to the left of the square root leaving  2√2

To simplify a square root: make the number inside the square root as small as possible (but still a whole number)

or you can use a simplifying square root calculator.

8 0
3 years ago
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