How many dimensions does a line have?

Write an equation in standard form of the line that passes through (0,5) and has the slope m=−2

Ray Of Light [21]

Y=-2x+5
The standard form is y=mx+b, since m is the slope you would put -2 in substitute for it and since (0,5) has a zero as the x and a number as the y that gives you the b which is the y-intercept.

3 0

3 years ago

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How

mixer [17]

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year

For the first 4 years we know that: $P=2350$ , $r= \frac{4.2}{100} =0.042$ , $t=4$ , and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, $n=1$ . Lest replace those values in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2350(1+ \frac{0.042}{1} )^{(1)(4)}$
$A=2350(1+0.042)^{4}$
$A=2770.38$

Now, for the next 6 years the intial investment will be the final amount from our previous step, so $P=2770.38$ . We also know that: $r= \frac{4.9}{100} =0.049$ , $t=6$ , and $n=1$ . Lets replace those values in our formula one more time:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2770.38(1+ \frac{0.049}{1})^{(1)(6)$
$A=2770.38(1+0.049)^6$
$A=3691.41$

We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>

4 0

4 years ago

I don't get it <br>i need help!!

9966 [12]

"help..." said the high schooler.
"No," said Life, "figure it out yourself."
Then the rejected high schooler went to watch YouTube to relieve stress, hour and hours passed by until the high schooler realized he was wasting time.
"Oh no!" He said, "I have wasted time again! How will I ever get pass high school?"
"We will help you," said the flash cards, colored pens, and highlighters "we will be your best friend."
After that day, the high schooler never had an all nighter for the rest of high school. (College is a different story)

Moral of the story: Life and cute cat videos will not help you and your homework. Paying attention in class, making flash cards, making your notes colorful with pens and highlighter are what really helps :)

Oh and asking your teacher for help is great too.

(You forgot to attach a picture to your question)

8 0

3 years ago

If the point ( 4, -2 ) is reflected in the x-axis, then the new coordinate would be?

patriot [66]

Answer:

x will change y will not change... -4,-2

Step-by-step explanation:

if i am wrong then please inform me

7 0

3 years ago

Help please!!!

marysya [2.9K]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = x² + 2x + 7 → (1)

y - 7 = x → (2)

Rearrange (2) expressing y in terms of x by adding 7 to both sides

y = x + 7 → (3)

Substitute y = x + 7 into (1)

x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )

0 = x² + x ← factor out x from each term

0 = x(x + 1)

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (3) for corresponding values of y

x = 0 → y = 0 + 7 = 7

x = - 1 → y = - 1 + 7 = 6

The solutions are

(- 1, 6 ) and (0, 7 )

4 0

3 years ago