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3 years ago

Help please? I’m so dumb

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

Answer: Choice C

$y \ge 4x-5$

===============================================

Explanation:

First we need to find the equation of the boundary line. This is the line that separates the shaded region versus the non-shaded region.

The boundary line goes through (0,-5) so this is the y intercept, so b = -5

Another point on the boundary line is (1,-1). The slope of the line through (0,-5) and (1,-1) is m = 4. You can use the slope = rise/run idea or you could use the slope formula to get m = 4.

With m = 4 and b = -5, the y = mx+b equation updates to y = 4x-5

The boundary line has the equation y = 4x-5

Because it is a solid boundary line (instead of dashed) and the shading is above the boundary, this means we change the equal sign to "greater than or equal to"

Therefore we get $y \ge 4x-5$

Note: a solid boundary line means that points on this boundary are included in the solution set. A dashed boundary line would mean you don't include boundary points in the solution set. So that's why there is a "or equal to" portion in the inequality sign.

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kakasveta [241]

Hey there!

43 + 7 = 50

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4 years ago

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4x+8=7.2+5x solve for d

liberstina [14]

Answer: x = 0.8

Explanation:

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An urn contains 12 balls, of which 4 are white.

wel

Answer:

a) $\frac{1}{3}$

b) $\frac{4}{12}\,,\,\frac{4}{11}\,,\,\frac{4}{10}\,,...$

Step-by-step explanation:

Number of balls in the urn = 12

Number of white balls in the urn = 4

So, number of balls which are not white = 12 - 4 = 8

We know that probability = No. of outcomes/Total number of outcomes

Let $A_i\,,\,B_i\,,\,C_i$ denotes the event of getting white ball by A, B and C

a) each ball is replaced after being drawn.

Probability = Number of white balls/Total number of balls

Solution: $P(A_i)=P(B_i)=P(C_i)=\frac{4}{12}=\frac{1}{3}$

b)the balls that are withdrawn are not replaced.

Solution:

If A wins: $P(A_1)=\frac{4}{12}=\frac{1}{3}$

If A lost and B wins: $P\left ( B_1|A_1^{c} \right )=\frac{4}{11}$

If A and B lost and C wins: $P\left ( C_1|A_1^{c}\,B_1^{c} \right )=\frac{4}{10}$

and so on....

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4 years ago

Lee is thinking of 2 numbers, the product is 18.the quotient is 2. what are yhe two numbers?

jeka94

$xy=18\\
\dfrac{x}{y}=2\\\\
xy=18\\
x=2y\\\\
2y\cdot y=18\\
2y^2=18\\
y^2=9\\
y=-3 \vee y=3\\\\
x=2\cdot (-3) \vee x=2\cdot 3\\
x=-6 \vee x=6\\\\
\boxed{(x,y)=\{(-6,-3),(6,3)\}}$

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4 years ago

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Montano1993 [528]

Answer:

$0.2$ miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points $(0,3), (5,4),(10,5)...$

From these points we can find the slope of the line .

From point slope formula $y-y_1=m(x-x_1)$

And assigning $(x,y) (0,3)$ and $(x_1,y_1) (5,4)$

$m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2$

This slope is also the speed of the bird which is $0.2\ miles\ per\ minute.$

As by plugging the values of any coordinate point we can confirm this.

Lets put $(10,5)$ , y-axis is the distance so in $10$ minutes the the distance covered by the bird must be equal to to y-axis value which is $5$ miles.