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amid [387]
3 years ago
6

Which statement is true about -14 and -8?

Mathematics
1 answer:
marin [14]3 years ago
7 0

Answer:

A

Step-by-step explanation:

-14>-8 because -14 is located to the left of -8 on the number line.

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1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

3 0
3 years ago
How would you find the values of x and y?
Ipatiy [6.2K]
If you havent learnt Sin, Cos yet, let me know, so we can try the other solutions.

6 0
3 years ago
Anyone help please I need it
andreev551 [17]

Answer:

-10+i\sqrt{2}

Step-by-step explanation:

One is given the following expression:

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (\sqrt{}) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (\sqrt{-1}=i). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

Take factors from out of under the radical:

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

2-7i\sqrt{2}-12+8i\sqrt{2}

Simplify,

-10+i\sqrt{2}

8 0
3 years ago
Write an expression for "7 divided by <br> c."
Harman [31]
An expression for “7 divided by c” is 7/c or 7 ÷ c
8 0
3 years ago
Find the first three iterates of the function f(z)=z2+c with a value of c=1+2i and an initial value of z0=0
aalyn [17]

Answer:

14x

Step-by-step explanation:

multiply the 2i by the 0 eulogistic quotient

7 0
3 years ago
Read 2 more answers
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