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Leni [432]
3 years ago
14

PLEASE HELPPP MEEEEE

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0
<h3>7.</h3><h3>The required equation of the line is y= 2x-5</h3><h3>8.</h3><h3>y=30</h3>

Step-by-step explanation:

Given , a line passes through the points (1,-3) and (3,1)

The equation of line which passes through the points (x_1,y_1) and (x_2,y_2) is

y - y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

Here x_1 = 1 , y_1= -3     and      x_2 = 3 , y_2= 1

The required equation of the line is

y+3=\frac{1+3}{3-1} (x-1)

\Leftrightarrow y +3 =2(x-1)

\Leftrightarrow y =2x-2-3

\Leftrightarrow y =2x-5

8.

Given, y varies directly with x and y=24 when x=8

Therefore,

y\propto x

\Rightarrow y = kx.........(1)

y = 24 when x=8

\therefore 24 = 8k

\Rightarrow k =3

Equation (1) becomes

y= 3x

So, when x=10

y=3×10

⇒y=30

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Green’s Sport Shop offers its salespeople an annual salary of $10,000 plus a 6% commission on all sales above $20,000. Every emp
GalinKa [24]

Mr. Cahn’s total earnings in a year is $18,900.

<h3>What is the total earnings?</h3>

The total earnings is a function of the annual salary, commission and Christmas bonus.

Total earnings = annual salary + commission + Christmas bonus

Commission = 6% x (160,000 - 20,000)

6% x $140,000

0.06 x 140,000 =  $8,400

Total earnings =  $8,400 + 10,000 + $500 = $18,900

To learn more about addition, please check: brainly.com/question/19628082

#SPJ1

5 0
2 years ago
MARY PUT IN A TOTAL OF 16-1/2 8 FEET LONG. A NEARBY POLE IS 72 HOURS BABYSITTING DURING 5 DAYS FEET HIGH. HOW LONG IS ITS OF THE
GREYUIT [131]

Answer: 3 hours and 18 minutes.

Step-by-step explanation:

8 0
4 years ago
P - 5(p+4) = p - (8-p)
zhuklara [117]

Answer:

Simplifying 6p + 2(4 + -2p) = 3(p + 4) 6p + (4 * 2 + -2p * 2) = 3(p + 4) 6p + (8 + -4p) = 3(p + 4) ... Move all terms containing p to the left, all other terms to the right. ... When you enter an equation into the calculator, the calculator will begin by ... Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5).

Step-by-step explanation:

4 0
3 years ago
Let E1 be the event that tails come up when the coin is tossed the first time and E2 be the event that heads come up when the co
Norma-Jean [14]

Answer:

Step-by-step explanation:

In the tossing of a fair coin, there are equal probabilities of getting a HEAD and getting a TAIL.

Total probability is always 1 and a coin has 2 faces - Head & Tail.

The probability of getting a Head is 1/2 = 0.5

The probability of getting a Tail is 1/2 = 0.5

E1 is the event that TAIL comes up when the coin is tossed the first time

E2 is the event that HEAD comes up when the coin is tossed the second time

The probability value for EVENT 1 is 0.5

The probability value for EVENT 2 is 0.5

8 0
4 years ago
Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu
svetoff [14.1K]

Answer:

  • after week 7: 4374 pennies
  • 486 pennies: after week 5

Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

  an = 6·3^(n-1)

This can be rearranged to ...

  an = 2·3^n

__

When n=7, the value is ...

  a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

__

To find when there are 486 pennies saved, we can solve the equation ...

  486 = 2·3^n

  243 = 3^n

  log(243) = n·log(3) . . . . . . . take the logarithm

  log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

7 0
3 years ago
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