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3 years ago

Please help, I’m very confused

Mathematics

2 answers:

snow_tiger [21]3 years ago

8 0

Answer:

1st picture: (0,4)

The lines intersect at point (0,4).

2nd picture: Graph D

2x ≥ y - 1

2x - 5y ≤ 10

Set these inequalities up in standard form.

y ≤ 2x + 1

-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2

When you divide by a negative number, you switch the inequality sign.

Now you have:

y ≤ 2x + 1

y ≥ 2/5x - 2

Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).

In this case, it is all of them.

Next, you would look at the shaded regions.

The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.

That would mean Graph B or D.

Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.

Blababa [14]3 years ago

6 0

Answer:

A) (-4, 1)

B) graph C

Step-by-step explanation:

A) The point that is in the doubly-shaded area is the solution. The point at (0, 4) is on the dashed line, so is NOT a solution. See the first attachment.

B) Look at the given inequalities. You are looking for two things:

which boundary line applies
which side of that line is shaded

Here, you can identify which line goes with which equation a couple of ways. One way is to look at the x- or y-intercept. To find the x-intercept, set y=0 and solve for x. For the first equation, that gives ...

2x ≥ -1

x ≥ -1/2

The steep line, the one that intersects the top of the graph, is the one that has an x-intercept at x = -1/2. You will also note that the solution x ≥ -1/2 means the shading is to the right of that line. (Only graphs C and D have shading to the right of that line.)

For determining which side of the line is shaded, it is useful to pick a variable term with a positive coefficient. For the second inequality, that is 2x. Considering only that term and the relationship in the inequality, we see that we have 2x ≤. This means values of x that are in the solution set are less than (or equal to) those on the boundary line. In other words, shading is to the left of the line with the shallow slope. This is true only for graphs A and C. We have already eliminated graph A, so the desired graph is C.

See the second attachment for what we're talking about here.

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The Fun Guys game rental store charges an annual fee of $20 plus $6.50 per game rented. The Game Bank charges an annual fee of $

Sladkaya [172]

In order to find the breakeven number of game rentals, we need to find the point at which the costs are equal. To do this, we set two expressions as a function of the number of games, equate them, and solve.
For Fun Guys, cost C = 20 + 6.5g, where g is the number of games
For Game Bank, C = 50 + 3.5g
Equating -> 20 + 6.5g = 50 + 3.5g -> 3g = 30 -> g = 10
At 10 games, the cost will be the same for both stores, and that cost is 50 + 3.5* 10 = 20 + 6.5*10 = $85.

7 0

3 years ago

Two squares are similar. The

Pepsi [2]

Answer:

The perimeter of the second square is 36 inches

Step-by-step explanation:

Given

Represent the sides of the squares with S1 and S2.

So:

$S_1:S_2 = 1 : 3$ --- Scale factor

$P_1 =12$ --- perimeter of the first

Required

Calculate P2, the perimeter of the second

Represent the ratios of the perimeter:

$Scale = P_1 : P_2$

Substitute 12 for P1

$Scale = 12 : P_2$

Equate both scale factors

$12 : P_2 = 1:3$

Convert to fraction

$\frac{12}{P_2} = \frac{1}{3}$

Cross multiply

$P_2 = 12 * 3$

$P_2 = 36$

6 0

2 years ago

F(x) =?. Vertex is (2,-4) the other given point is (1,-2)

dalvyx [7]

Given the vertex, (2, -4) as the minimum point, and that it is an upward-facing parabola that passes point (1, -2):

We could substitute these values into the vertex form of the quadratic function,

f(x) = a(x - h)^2 + k

where:

(h,k) is the vertex

The axis of symmetry is the vertical line x = 2

The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.

The value of “h” determines how far left or right the parent function is translated.

The value of “k” determines how far up or down the parent function is translated.

Now that we’ve established these definitions, we can substitute the given values into the vertex form:

f(x) = a(x - 2)^2 - 4

In order to determine the value of “a”, we must substitute the values of the other given point, (1, -2) into the equation:

f(x) = a(x - 2)^2 - 4

-2 = a(1 - 2)^2 - 4

-2 = a(-1)^2 - 4
-2 = a - 4

Add 4 to both sides to solve for “a”

-2 + 4 = a - 4 + 4
2 = a

Now that we have the value of a = 2, we can establish our quadratic function in vertex form:

f(x) = 2(x - 2)^2 - 4

I’m also including a screenshot of the graph of the function we came up with.

Please mark my answers as the Brainliest if you find my explanations helpful :)