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2 years ago

19's prime factorization is

Mathematics

1 answer:

Paladinen [302]2 years ago

8 0

19 is a prime number, so the prime factorization is 1*19

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How do I solve for y in the equation 2(3/4)+y=4?

yuradex [85]

2* .75 + y = 4
1.5 + y = 4
Subtract 1.5 From Each Side
Y = 2.5 Or 2 1/2

5 0

2 years ago

Read 2 more answers

Graph the linear inequality: 2x + 3y = 12, by creating a t-chart to plot the points. Shade by

Crazy boy [7]

Answer:

See explanation

Step-by-step explanation:

Assuming the given inequality is $2x+3y\le12$

Then the corresponding linear equation is $2x+3y=12$

When x=0, we have $2*0+3y=12$

$\implies 3y=12\implies y=4$

When y=0, we have $2x+3*0=12$

$\implies 2x=12\implies x=6$

The T-table is:

0 | 4

6 | 12

We plot this points and draw a solid straight line as shown in the attachment.

Now let us test the origin: (0,0) by plugging x=0 and y=0 into the inequality.

$2*0+3*0\le12$

$0\le12$ ....This is true so we shade the lower half plane as shown in the attachment.

6 0

3 years ago

Find the simple interest: Principal: $650 Interest Rate: 14% Time: 4 years

andrew11 [14]

Answer:

292.50 dollars

Step-by-step explanation:

P = 650 is the the principal.

r = 0.09 is the interest rate in decimal form.

t = 5 is the number of years.

i = 650*0.09*5

i = 292.50 is the simple interest.

5 0

2 years ago

In the arithmetic sequence, -12, -17, -22, -27... which term has a value of -68?

RSB [31]

Answer:

-68 is not a term in the given sequence

Step-by-step explanation:

The given sequence is -12, -17, -22, -27...

There is a common difference of d=-17--12=-5

The explicit rule for this sequence is $f(n)=-12-5(n-1)$

Or $f(n)=-5n-7$

To find the term that has a value of -68 we equate the explicit formula and solve for n.

$-68=-5n-7$

$\implies -68+7=-5n$

$\implies -61=-5n$

$n=\frac{61}{5} =12.2$

The position should be a natural number.

Since n is a decimal, it tells us that -68 is not a term in the given sequence

7 0

3 years ago

13x - 1<br> what does x equal in this

Whitepunk [10]

Answer:

x = 7

Step-by-step explanation:

13x - 1 = 90

+1 +1

13x = 91

divide 13 by both sides of the equal sign

x = 7

4 0

2 years ago