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V125BC [204]
3 years ago
10

BRAINLIEST HELPPPPPO

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Question 5

To use the quadratic formula, we need to rewrite the equation so that all the terms are on one side: by subtracting (x+13) from both sides, we get that x^2-x-6=0. The quadratic formula tells us that the roots of this are \frac{-b \pm \sqrt{b^2-4ac}}{2a}, where a=1, b=-1, and c=-6. This is equal to \frac{-(-1)\pm \sqrt{(-1)^2-4(1)(-6)}}{2(1)} = \frac{1 \pm 5}{2}, which gives us the two roots -2 and 3.

Question 7

If you look at the attached graph, you will see that the graph of x^2-x-6 intersects the x-axis at the points (-2,0) and (3,0).

Question 8

The roots are the same. Both finding the x-intercepts and solving for the roots of a quadratic using the quadratic formula will give the values of x for which the function value is zero.

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Jake recorded a temperature of 9 degrees Celsius, and Kwan recorded a temperature of -22 degrees Celsius. How much warmer was th
Aleks [24]
87.8 degrees more warmer in fahrenheit.
6 0
3 years ago
Solve for x<br><br> C = 1/4πs^2x
kvasek [131]

Answer:

x=4C/πs^2

Step-by-step explanation:

C=1/4πs^2x

1) Divide both sides by π and s^2:

C/πs^2=1/4x

2) Multiply both sides by the reciprocal of 1/4: (4)

4C/πs^2=x

6 0
3 years ago
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

10=8 \cdot b^1

10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

y=8 \cdot \frac{25}{16}

y=\frac{8}{16} \cdot 25

y=\frac{1}{2} \cdot 25}

y=\frac{25}{2}

y=12.5

So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

4 0
3 years ago
What is the y intercept?
Naddika [18.5K]

Answer:

y int is 20

slope = 2

equation: y = 2x + 20

7 0
3 years ago
I will mark you as Brainliest.
beks73 [17]

Answer:

We can't solve this because we can't add graphs. One way you could solve it would using Desmos.

Step-by-step explanation:

8 0
3 years ago
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