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Monica [59]
3 years ago
12

4y = 2x + 50 x= what​

Mathematics
1 answer:
bixtya [17]3 years ago
3 0

Answer:

x=2y-25

Step-by-step explanation:

slope =1/2

y intercept =(0,25/2)

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Answer:

One week and around two days.

Step-by-step explanation:

7 0
2 years ago
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(08.07 HC)
andreev551 [17]

Answer:

\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}

\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)

C)  See attachment.

Step-by-step explanation:

Given function:

f(x)=2x^2-x-10

<h3><u>Part A</u></h3>

To factor a <u>quadratic</u> in the form  ax^2+bx+c<em> , </em>find two numbers that multiply to ac and sum to b :

\implies ac=2 \cdot -10=-20

\implies b=-1

Therefore, the two numbers are -5 and 4.

Rewrite b as the sum of these two numbers:

\implies f(x)=2x^2-5x+4x-10

Factor the first two terms and the last two terms separately:

\implies f(x)=x(2x-5)+2(2x-5)

Factor out the common term  (2x - 5):

\implies f(x)=(x+2)(2x-5)

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

\implies (x+2)(2x-5)=0

Therefore:

\implies (x+2)=0 \implies x=-2

\implies (2x-5)=0 \implies x=\dfrac{5}{2}

So the x-intercepts are:

x=-2, \:\:x=\dfrac{5}{2}

<h3><u>Part B</u></h3>

The x-value of the vertex is:

\implies x=\dfrac{-b}{2a}

Therefore, the x-value of the vertex of the given function is:

\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}

To find the y-value of the vertex, substitute the found value of x into the function:

\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}

Therefore, the vertex of the function is:

\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)

<h3><u>Part C</u></h3>

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the <u>leading coefficient</u> of the function is positive, the parabola will open upwards.  This is confirmed as the vertex is a minimum point.

The axis of symmetry is the <u>x-value</u> of the <u>vertex</u>.  Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is <u>symmetrical</u>.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).

5 0
2 years ago
THIS QUESTION IS WORTH 15 POINTS
ikadub [295]

Answer:

3.7

This means that the answer is past the 3 point on the number line and 3 tick marks before the 4 point.

5 0
2 years ago
Answer all please, thank you :)
prisoha [69]

The angles in a triangle add up to 180 degrees.  That's the same sum as a linear pair, which we get when two lines cross.

1. 180 - 65 - 45 = 70

Answer: 70°

2. 180 - 90 - 35 = 55

Answer: 55°

3. 180 - 120 = 180 - 50 - x

x = 70

Answer: 70°

6 0
2 years ago
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The question reads The graph of y=f(x) is shown below (dashed curve). Manipulate the green draggable points to obtain the graph
Sedbober [7]

Answer:

Don’t know the answer

Sorry

4 0
2 years ago
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