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larisa [96]
3 years ago
7

How many multiples of 5 are there between 81 and 358?

Mathematics
2 answers:
Ivan3 years ago
8 0

358-81 = 277

277/5 = 55.4

there are 55 multiples

likoan [24]3 years ago
3 0
There are 55 multiples of 5 between 81 and 358
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Write a quadratic function in vertex form whose graph has the vertex
ELEN [110]

Answer:

y = \frac{1}{2}(x - 5)² - 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

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4 0
3 years ago
Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

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So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

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2x ≤-5 +3

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Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0
3 years ago
Function (A or B) has the greater initial value because the initial value for function A is _ and the initial value for Function
Volgvan

Answer:

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Step-by-step explanation:

  • <em>The initial value of a function is the output value of the function when the input value is 0</em>

Initial value of A is y=4 at x=0,

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Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

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