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Agata [3.3K]
3 years ago
5

HELP!!!!!! Can someone help me write a system of linear inequalities to represent the graph? I'm having trouble since the one li

ne is on the y-axis.

Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer:

  • x ≤ 0
  • y ≤ 3/4x -5

Step-by-step explanation:

The equation for the y-axis is x = 0. Your shading is to the left of that, so the inequality will be x ≤ 0.

The blue line has a rise of 3 for a run of 4, so its slope is 3/4. It intercepts the y-axis at y=-5, so the slope-intercept equation for that line is y = 3/4x -5. Since the shading is below that solid line, the inequality is ...

  y ≤ 3/4x -5

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HELP ME!! im so stumped. will give brainliest!
Olegator [25]

Answer:

x=1+\sqrt{3} and x=1-\sqrt{3}

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

y=a\left(x-h\right)^2+k

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

y=a\left(x-1\right)^2-9...(i)

Plug given point (0, -6). into (i)

-6=a\left(0-1\right)^2-9

-6=a\left(-1\right)^2-9

-6=a\left(1\right)-9

-6+9=a

3=a

Plug a=3 into (i)

y=3\left(x-1\right)^2-9

Now to find x-intercept, we just plug y=0 and solve for x

y=3\left(x-1\right)^2-9

0=3\left(x-1\right)^2-9

9=3\left(x-1\right)^2

3=\left(x-1\right)^2

\pm \sqrt{3}=x-1

1+\pm \sqrt{3}=x

Hence final answer are

x=1+\sqrt{3} and x=1-\sqrt{3}

4 0
3 years ago
❗️10 points❗️<br> 22. match the expression with its name.
Hunter-Best [27]

Answer:

Quadratic trinomial

Step-by-step explanation:

It is a trinomial because it has 3 terms.

Quadratic means the highest exponent is 2.

6 0
3 years ago
Jackie wants to justify that f(x) = 2x - 6 is a linear function. If she evaluated F(x) for consecutive integer values, write a s
NISA [10]

Jackie wants to justify that f(x) = 2x - 6 is a linear function.

Lets assume some values for x  and find out f(x)

We make a table with x values 1, 2, 3, 4 and find f(x)

To find f(x) we plug in x  value in the given equation

x        f(x)

1          2(1)-6 = -4

2         2(2)-6 = -2

3          2(3)-6 = 0

14         2(4)-6 =2

for f(x) we got -4, -2, 0 , 2

The value of f(x) is increasing by 2. There is a constant increase in f(x)

When there is a constant rate of increase then it is a linear function

constant rate of increase that is slope = 2. Hence f(x) = 2x -6 is a linear function.



6 0
4 years ago
How do I solve #9? For the past three months, Grace used her cell phone bla bla bla
notsponge [240]
Answer: 58 minutes
55*4=220
62+57+43=162
220-162=58
6 0
3 years ago
Read 2 more answers
If 3/4 of the 200 seeds sprouted, how many seeds did not sprout?​
katen-ka-za [31]

Answer:

The exact answer is 16.6666666667. Rounded would be about 17.

Step-by-step explanation:

Hope i was right and this helped!

5 0
3 years ago
Read 2 more answers
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