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MrMuchimi
3 years ago
14

Solve the combined inequality x + 3 > -5 and -4x ≥ -16 showing all of your work

Mathematics
1 answer:
ad-work [718]3 years ago
5 0
Well for the first one you have to subtract 3 on both sides so that would make the equation x > -8 (because a negative subtracting a positive is basically a negative plus negative) and so your equations done.  For the second one you divide both ides by -4 so your equation would be x < 4 (the sign would be less then or qual to because you divided by a negative)
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Show your work. What is 93 divided by 3 using repeated subtraction.
tamaranim1 [39]
To use repeated subtraction, you could keep subtracting 3 until you reach 0.
So, we can do
93-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3=0
This has 31 -3s,
So 91/3 is 31.
7 0
3 years ago
What is the value of x?<br> a. 2 /29<br> b. 3 /61<br> c. 2/ 101<br> d. 2/333
stiv31 [10]

Answer:

2√133

Step-by-step explanation:

a²+b²=c²

8²+12²=c²

c²=208

208+18²=532

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3 0
3 years ago
A radioactive substance decreases in the amount of grams by one-third each year. If the starting amount of the
katovenus [111]

Answer:

The sequence is geometric. The recursive formula is a_{n}=2/3a_{n-1}

Step-by-step explanation:

In order to solve this problem, you have to calculate the amount of the substance left after the end of each year to obtain a sequence and then you have to determine if the sequence is arithmetic or geometric.

The substance decreases by one-third each year, therefore:

After 1 year:

1452-\frac{1}{3}(1452)

Using 1452 as a common factor and solving the fraction:

1452(1-\frac{1}{3})=1452(\frac{2}{3})=968

You can notice that in general, after each year the amount of grams is the initial amount of the year multiplied by 2/3

After 2 years:

968(\frac{2}{3})=\frac{1936}{3}

After 3 years:

\frac{1936}{3}(\frac{2}{3})=\frac{3872}{9}

The sequence is:

1452,968,1936/3,3872/9....

In order to determine if the sequence is geometric, you have to calculate the ratio of two consecutive terms and see if the ratio is the same for all two consecutive terms. The ratio is obtained by dividing a term by the previous term.

The sequence is arithmetic if the difference of two consecutive terms is the same for all two consecutive terms.

-Calculating the ratio:

For the first and second terms:

968/1452=2/3

For the second and third terms:

1936/3 ÷ 968 = 2/3

In conclussion, the sequence is geometric because the ratio is common.

The recursive formula of a geometric sequence is given by:

a_{n}=ra_{n-1}

where an is the nth term, r is the common ratio and an-1 is the previous term.

In this case, r=2/3

7 0
3 years ago
Solve this: if [a]=2,then 1[a]0=120 feet, and if [c]=8, then 6[c]=68 feet
katrin2010 [14]
Well the answer would be 120=120 and 68=68
5 0
3 years ago
When should homeowners ask their lenders for mortgage modification
Fofino [41]

When they can no longer afford the mortgage but before they miss a payment.

5 0
3 years ago
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