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Katena32 [7]
3 years ago
5

Select the points that is a solution

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

The red area is the one which solves the system. In fact, we want the area which below both the parabola and the line (since the inequality features a \leq sign.


So, the point (1,1) is below the line but above the parabola (blue area), so it is not a solution.


The point (2,2) is above both the line and the parabola (white area), so it is not a solution.


The point (-1,0) is below both the line and the parabola (red area), so it is a solution.


So, the point (4,1) is below the parabola but above the line (green area), so it is not a solution.

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Thuy rolls a number cube 7 times. which expression represents the probability of rolling a 4 exactly 2 times?
Nady [450]
The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.

The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
 5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.

Finally, the probability is P=5^5(7!-6!/2)/7^7
6 0
3 years ago
Read 2 more answers
What is the scale factor in the dilation?
vlada-n [284]

Answer:

3

Step-by-step explanation:

Look at how the x values gets multiplied by 3

6 0
3 years ago
0.8y+0.25= -0.4<br><br> Solve for y
disa [49]

Answer:

y = -13/16

Step-by-step explanation:

<u>Given:</u>

0.8y+0.25= -0.4

<u>To Find:</u>

Solve for y

<u>Solution:</u>

Multiply both sides by 100

0.8y\cdot \:100+0.25\cdot \:100=-0.4\cdot \:100

Simplify

80y+25=-40

Subtract 25 from both sides

80y+25-25=-40-25

Simplify

80y=-65

Divide both sides by 80

\frac{80y}{80}=\frac{-65}{80}

Simplify

y=-\frac{13}{16}

Thus, y = -13/16

or in decimal form it equal y = -0.8125

<u><em>~Lenvy~</em></u>

7 0
2 years ago
Read 2 more answers
Can someone pls help
Katyanochek1 [597]

Answer:

x = 35

Step-by-step explanation:

Sum of angles of triangle = 180°

  • 60 + 60 + 4x - 80 = 180
  • 40 + 4x = 180
  • 4x = 140
  • x = 140/4
  • x = 35°
3 0
2 years ago
Read 2 more answers
Anyone know the answer to this algebra problem?
ikadub [295]

Answer:  \bold{a=1\qquad b=\dfrac{1}{16}\qquad c=\dfrac{1}{64}\qquad d=1\qquad e=\dfrac{4}{9}\qquad f=\dfrac{16}{81}}

<u>Step-by-step explanation:</u>

\begin{array}{c|l}\underline{\quad x\quad}&\underline{\quad 4^{-x}\qquad \qquad}\\-1&4^{-(-1)}=4^1=4\\\\0&4^{-(0)}=4^0=1\\\\2&4^{-(2)}=\dfrac{1}{4^2}=\dfrac{1}{16}\\\\4&4^{-(4)}=\dfrac{1}{4^4}=\dfrac{1}{64}\end{array}

\begin{array}{c|l}\underline{\quad \bigg x \quad}&\underline{\quad \bigg(\dfrac{2}{3}\bigg)^x\qquad \qquad}\\\\-1&\bigg(\dfrac{2}{3}\bigg)^{-1}=\dfrac{3}{2}\\\\0&\bigg(\dfrac{2}{3}\bigg)^{0}=1\\\\2&\bigg(\dfrac{2}{3}\bigg)^{2}=\dfrac{2^2}{3^2}=\dfrac{4}{9}\\\\4&\bigg(\dfrac{2}{3}\bigg)^{4}=\dfrac{2^4}{3^4}=\dfrac{16}{81}\end{array}

3 0
3 years ago
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