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balu736 [363]
2 years ago
8

What are the ordered pairs of thesolutions for this system of equations? f(x) = x^2 – 2x + 3; f(x) = -6x

Mathematics
1 answer:
babunello [35]2 years ago
8 0

First you subtract the two equations

x^2-2x+3-6x

You simplify that and get

x^2+4x+3 = 0

Now we solve using the quadratic formula.

We get x = -1 and x = -3.

Now we find the y values by plugging the x values into the equation.

f(x) is the same as y.

y = (-1)^2 - 2(-1) + 3

y = 1+2+3

y = 6

Now for the other x value.

y = (-3)^2 - 2(-3) + 3

y = 9+9

y = 18

So the two ordered pairs are (-1,6) and (-3,18)

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<span>The ratio of 2 similar areas is the square of the ratio of their RADIUS or (sides)
R²=(2/3)² = 4/9 This should be the answer

Whereas R³ = (2/3)³ = 8/27 is the ratio of their volume & not area



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4 0
3 years ago
AB and BC are tangents to P. what is the value of x? this is really so confusing
Westkost [7]
1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A. 

2. AB=BC, because tangents drawn to a circle from the same point are equal.

3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent. 

4. So measure of m(BPA)=x/2 and m(ABP)=73/2.

5. \frac{x}{2}+90+ \frac{73}{2}=180

\frac{x+73}{2}=90

x+73=180, x= 107 degrees.

4 0
3 years ago
Simplify the expression given below: (18x^3-7)-(14x^3-36)
vovangra [49]

Answer:

2x6 + 4x5 + x4 + 11x3 + 2x2 + 4x + 4

Step-by-step explanation:

6 0
2 years ago
Robyn uses cup of blueberries to make each loaf of blueberry bread. Explain how many loaves of blueberry bread she can make with
tekilochka [14]

Answer:

2 loaves of blueberry bread

Step-by-step explanation:

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for 2 loaves she will use 2 cupa

7 0
3 years ago
An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed th
Ronch [10]

Answer:

Explained below.

Step-by-step explanation:

(1)

The confidence level is, 91%.

Compute the value of α as follows:

\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09

(2)

As the population standard deviation is provided, i.e. <em>σ</em> = 256 psi, the <em>z</em> value would be appropriate.

The <em>z</em> value for α = 0.09 is,

<em>z</em> = 1.69

(3)

Compute the 91% confidence interval as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

     =3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)

(4)

The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.

8 0
2 years ago
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