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diamong [38]
3 years ago
13

What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2

Mathematics
1 answer:
NARA [144]3 years ago
6 0

Given:

The inequalities are:

-2

-2\leq x

To find:

The integer values that satisfy both inequalities.

Solution:

We have,

-2

-2\leq x

For -2, the possible integer values are

x=-1,0,1,2          ...(i)

For -2\leq x, the possible integer values are

x=-2,-1,0,1        ...(ii)

The common values of x in (i) and (ii) are

x=-1,0,1

Therefore, the integer values -1, 0 and 1 satisfy both inequalities.

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ololo11 [35]

Answer:

The answer is A

Step-by-step explanation:

Step 1: Use Cosine to find ∅

Cos∅=\frac{4}{5}

∅=Cos^{-1}(\frac{4}{5})

Therefore the answer is A

8 0
3 years ago
the credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes. Th
Advocard [28]

Answer:

he credit remaining on a phone card (in dollars) is a linear function of the

total calling time made with the card (in minutes), as shown in the figure below.

The remaining credit after 45 minutes of calls is $22.80 , and the remaining

credit after 64 minutes of calls is $19.76.

What is the remaining credit after 73 minutes of calls?

;

Not sure what figure you are referring to, write an equation from the given values:

Assign the values as follows

x1 = 45; y1 = 22.80

x2 = 64; y2 = 19.76

:

Find the slope (m) using the formula: m = %28y2-y1%29%2F%28x2-x1%29

m = %2819.76-22.80%29%2F%2864-45%29 = %28-3.04%29%2F%2819%29

m = -.16

:

Write the equation using the point/slope formula: y - y1 = m(x - x1)

y - 22.80 = -.16(x - 45)

y - 22.80 = -.16x + 7.2

y = -.16x + 7.2 + 22.80

y = -.16x + 30

;

Use this equation to find the credit (y) when minutes (x) = 73

y = -.16(73) + 30

y = -11.68 + 30

y = $18.32; credit after 73 minute of calls

:

:

That you can also see the original value of the phone card: x=0, y = $30

;

:

Did this help you understand what's going on here? Any questions

Step-by-step explanation:

8 0
3 years ago
John wants to see the formulas he has used in his spreadsheet but he does not want to see the results of the formulas. How does
vova2212 [387]
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5 0
3 years ago
If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?
Colt1911 [192]

Answer:

f(x)=x-6

Step-by-step explanation:

Given : Parent function : f(x)=x

To Find : If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

Solution:

Parent function : f(x)=x

Shift the given function down by 6 units.

Rule : The graph f(x) shifts down by b units

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So, Shift the given function down by 6 units.

So, f(x)→f(x)-6

f(x)=x

So, x→x-6

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6 0
3 years ago
Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
ddd [48]

Answer:

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Step-by-step explanation:

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f(x + 2) = 3x + 6 - 4

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7 0
3 years ago
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