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Oxana [17]
2 years ago
8

Choose the graph that represents the linear equation y = 2x + 1

Mathematics
1 answer:
amid [387]2 years ago
8 0

Answer:

The third option is the answer.

Step-by-step explanation:

In the formula <em>y = mx + b</em>, using the equation given,

  • <em>m = 2</em>, which means that the line goes up <em>2 units and right 1 unit</em>.
  • <em>b = 1</em>, which means that the <em>y-intercept</em>, or where the line touches the y-axis, is <em>1</em>.
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Calculate the value of 3x + 4y when x = -6 and y = 5.
MArishka [77]

Answer:

x = -6

-18+4y=0 => 4y=18 =>y=18/4=9/2

Y=5

3x+20=0 => x=3x= -20=> x= -20/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Three friends share a pizza.one eighth falls on the fall and is thrown away.the remainder is shared equally..what fraction of th
maria [59]
If one eighth of the pizza falls, that leaves seven eights of the pizza to be shared:

1\ (whole\ pizza) -\frac{1}{8}=\frac{7}{8}

If the 7/8 pizza is shared between three people, then you have to divide 7/8 by 3. We know that dividing a fraction by 3 is the same as multiplying by 1/3:

\frac{7}{8} \div 3\\\\\frac{7}{8}*\frac{1}{3}\\\\\frac{7*1}{8*3}\\\\frac{7}{24}

Therefore, each person gets 7/24 of the whole pizza.
3 0
2 years ago
A car starts from an initial velocity of 10m/s and accelerates at 2.5m/s².how long will it take the car to reach a speed of 40m/
PIT_PIT [208]
A=(v-u)/t
We know a=2.5, v=40, u=10, so:
2.5=(40-10)/t
2.5t=40-10
2.5t=30
Divide both sides by 2.5
t=12 It takes 12 seconds for the car to reach 40m/s

To find out how far it went, you do:
d=v+1/2 at^2
d=10+1/2(2.5)(12)^2
d=10+1/2(2.5)(144)
d=10+(1.25)(72)
d=10+90
d=100m

Hope this helps :)
7 0
3 years ago
Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t
LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  =\dfrac{20}{36}

The probability distribution of this event is given as follows.

\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|

First, we determine the expected Value of this event.

Expected Value

=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  =\dfrac{20}{36}

If the game is played 100 times

Number of times expected to win

=\dfrac{20}{36} \times 100\\=56$ times

Therefore, number of times expected to loose

= 100-56

=44 times

8 0
3 years ago
Nick and June win some money and share it in the ratio 5:3. Nick gets £26 more than June. How much did June get?
inysia [295]

The difference between the ratio 5:3 is 2 ( 5-3 = 2)

Nick gets 2 extra shares which is equal to £26

1 share = 26 / 2 = 13

June gets 3 shares: 3 x 13 = £39

6 0
3 years ago
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