Ask question

Ask question

All categories

3 years ago

6

What is the equation of a line that has a slope of −1/2 and a y-intercept of 3? Express your answer in slope-intercept form.

1 answer:

alukav5142 [94]3 years ago

8 0

$\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{10em}\underset{\qquad y-intercept}{\stackrel{slope}{y = \stackrel{\downarrow }{-\cfrac{1}{2}}x}+\underset{\uparrow }{3}}$

You might be interested in

Your friends shuffle the cards and then deal them. Select probability of getting a red card. Select probability of getting a spa

sladkih [1.3K]

Answer:

1/2 ; 1/4

Step-by-step explanation:

Number of cards in a deck = 52

Number of red cards = 26

Number of spades = 13

Probability of event A :

P(A) = required outcome / Total possible outcomes

P( red card) = number of red cards / total cards in deck

P(red card) = 26 / 52 = 1/2

P(spade) = number of spades / total cards in deck

P(red card) = 13 / 52 = 1 / 4

7 0

3 years ago

The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

3 years ago

A website charges $0.99 to download a game and a $12.49 membership fee. Write an equation that gives the total cost in dollars (

nata0808 [166]

C = Cost To Download
M = Membership Fee.
T = 0.99C + M

Now, Plug In 6 For C.
And 12.49 For M
T = 0.99 * 6 + 12.49

0.99*6 = 5.94

T = 5.94 + 12.49

5.94+12.49 = 18.43

T = 18.43.

So, If You Want To Buy 6 Games On The Website, It Will Cost $18.43

4 0

3 years ago

What is the probability that a point chosen at random in the rectangle is also in the blue triangle?

V125BC [204]

Answer:

1/2

Step-by-step explanation:

I did the quiz on Edge 2021 and got it right with 100%.

Please give me brainliest!

3 0

3 years ago

Solve for x 4x(x+1)=(2x-3)(2x+5)

natima [27]

The pic is your answer.

5 0

3 years ago