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2 years ago

Find an equation of the line having the given slope containing the given point slope -9 through (1,-8)

Mathematics

1 answer:

Darya [45]2 years ago

4 0

Answer:

y = - 9x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = - 9, hence

y = - 9x + c ← is the partial equation

To find c substitute (1 , - 8) into the partial equation

- 8 = - 9 + c ⇒ c = - 8 + 9 = 1

y = - 9x + 1 ← equation of line

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cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of

exis [7]

Answer:

The smallest amount is $\£6,911$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=3\ years\\ A=\£8,000\\ r=5\%=5/100=0.05\\n=1$

substitute in the formula above

$8,000=P(1+\frac{0.05}{1})^{1*3}$

solve for P

$8,000=P(1.05)^{3}$

$P=8,000/(1.05)^{3}$

$P=\£6,910.70$

Round to the nearest pound she can invest

The smallest amount is $\£6,911$

6 0

3 years ago

seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive

Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

$C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

$C_{n,x} = \frac{n!}{x!(n-x)!}$

$C_{10,7} = \frac{10!}{7!(3)!} = 120$

120 distinct results are possible if no child is to receive more than one gifts.

6 0

2 years ago

If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?

sp2606 [1]

Answer:

Step-by-step explanation:

A discriminate of -8 is never going to give you a real root. D is wrong

You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.

So the answer is B. You have 2 complex roots.

7 0

2 years ago

Please help me and I’ll give you brainiest!!!!!!!!!

dsp73

Answer:

S L O P E

Explain:

S L O P E

4 0

2 years ago

Read 2 more answers

Need help with this NOW plzzzzz!!!!

Mazyrski [523]

Hello!

The circumference is the diameter multiplied by pi, or the distance around a circle. Since we already have the circumference, and need to find the diameter, we will divide the circumference by pi(3.14).

113.04/3.14=36

The diameter of the circle is 36 units.

I hope this helps!

3 0

3 years ago