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3 years ago

Determine the smallest integer that makes -3x + 7 - 5x < 15 true.

Mathematics

2 answers:

Effectus [21]3 years ago

7 0

Answer:

smallest possible value for x = 0

Step-by-step explanation:

An integer value is 0, 1, 2 and so on.

The smallest integer is 0.

-3x + 7 - 5x = -8x +7

consider y = -8x +7 and look at the y-axis and then specifically below 15 and then search for the smallest integer value ( meaning 0 or 1 or 2 and so on ).

y = ax + b

y = -8x + 7

a = -8

b = 7

a few points on that line:

(-1, 15) (0, 7) (1, -1) (2, -9)

You can see that for x = 0 you get the smallest INTEGER value of y = 7.

So x=0 is your answer!

Kisachek [45]3 years ago

4 0

Answer:

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7 - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

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15.24 x 1.64 the answer needs to be converted from us dollars to British pounds and can i have steps to plz

olga2289 [7]

Answer:

19.334

Step-by-step explanation:

First I multiplied.

15.24 x 1.64 = 24.9936

Then I convert my answer to British pounds.

24.9936 = 19.334 British Pound Sterling

Have a blessed day and hope this helps.

7 0

3 years ago

If the graph of function g is 6 units below the graph of function f, which could be function g?

Olegator [25]

The answer is b because 2-8 is that

4 0

4 years ago

Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?

yuradex [85]

The mother is older than her daughter by $\frac{3}{4}m$ years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

Put the age of mother equal 4 times the age of daughter
Find the age of daughter
Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ $\frac{1}{4}m$ = daughter's age

- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - $\frac{1}{4}m$

- Change 1 m to a fraction of denominator 4, then 1 m = $\frac{4}{4}m$

∴ The difference between their ages = $\frac{4}{4}m$ - $\frac{1}{4}m$ = $\frac{3}{4}m$

∴ The mother is older than her daughter by $\frac{3}{4}m$ years

The mother is older than her daughter by $\frac{3}{4}m$ years

Learn more:

You can learn more about the fractions in brainly.com/question/1648978

#LearnwithBrainly

5 0

3 years ago

A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the

laila [671]

Answer:

Step-by-step explanation:

Given data

Sample Mean (M): $48.77

Sample Size (n): 20

Standard Deviation (σ) : $17.58

Confidence Level: 80%

we know that z*-Values for 80% Confidence Levels is 1.28

the expression for margin of error is given bellow\

MOE= z*σ/√n

We can now substitute into the expression and solve for the MOE as

MOE= 1.28*17.58/√20

MOE= 22.502/4.47

MOE= 5.03

The margin of error for a 80 % confidence interval is $5.03

3 0

4 years ago

4. Seven times the difference of a number k and five is twenty-onel

laila [671]

Answer:

k = 8

Step-by-step explanation:

7(k - 5) = 21

k - 5 = 3

k = 8

Hope this helps!

4 0

3 years ago