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2 years ago

. y = x2 + 3 y = x + 5

1 answer:

7 0

I assume you mean x squared in the first equation

Because both are equal to y, they are equal to each other so x + 5 = x^2 +3
If we then move everything over to one side, we get x^2 - x - 2 = 0

Then factorise it to (x-2)(x+1) = 0
And solve both parts separately

x + 1 = 0
x = -1

x-2 = 0
x = 2

Sub both values into the simplest equation in this case y=x+5
to get y = 4 and y = 7

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Last week you worked 40 hours. This week, you worked 6 fewer hours than last week. How many hours did you work this week? _____

Sever21 [200]

Answer:

34??? Its very simple...

Step-by-step explanation:

40-6

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4 years ago

Read 2 more answers

Based on a sample of 150 textbooks at the store, you find an average of 70.69 and a standard deviation of 29.6. The point estima

Ugo [173]

Answer:

Step-by-step explanation:

Given that:

The sample size = 150

The sample mean = 70.69

The standard deviation = 29.60

The sample mean is equal to the point estimate of the population = 70.69

At 99% confidence interval level is:

∝ = 1 - 0.99

∝ = 0.01

The critical value:

$Z_{\alpha/2} = Z_{0.01/2} \\ \\ Z_{0.005} = 2.58 \ using \ Z \ tables$

The Margin of error = $Z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}$

$= 2.58 \times \dfrac{29.6}{\sqrt{150}}$

= 2.58 × 2.4168

≅ 6.235

At 99% confidence interval; the estimate of the population mean lies within the interval:

= $\overline x - E < \mu \ < \overline x + E$

= 70.69 - 6.235 < μ < 70.69 + 6.235

= 64.455 < μ < 76.925

= (64.455 , 76.925 )

6 0

3 years ago

If the quadratic formula is used to find

Anuta_ua [19.1K]

The two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

<h3>What is defined as the quadratic formula?</h3>

A quadratic equation is just a polynomial with a second degree first term.
There are several methods for determining the roots, or solutions, of such a quadratic equation.
Every quadratic equation has two solutions, that might or might not be real numbers.
The quadratic formula is a simple method for resolving a quadratic equation. whether the answer is a whole number, an irrational number, or perhaps an imaginary number

If the quadratic equation is ax² + bx + c = 0.

Then, the roots are given by x = [-b ± √(b² - 4ac)]/2a.

The quadratic equation is given as; 2x² - 5x - 12 = 0.

On comparing with the standard form;

a = 2
b = -5
c = -12

Put the values in the formula,

x = [-b ± √(b² - 4ac)]/2a.

x = [-(-5) ± √((-5)² - 4×2×(-12))] / 2×2

On simplification,

x = [5 ± 11]/4

There will be two roots of equation,

a; x = [5 + 11]/4

x = 16/4 = 4

b ; x = [5 - 11]/4

x = 6/4 = 1.5

Thus, the two roots obtained for the quadratic equation by quadratic formula are 1.5 and 4.

To know more about the quadratic formula, here

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5 0

1 year ago

As part of a school science project, Jacob bought some bulbs for a total of $18. The cost of each bulb was $3. How many bulbs di

MA_775_DIABLO [31]

3 x 6 = 18
3 + 3 + 3+ 3 + 3 + 3 = 18
3 divided by 18 = 6
I wasn't sure how you were doing it, so I just a few references for you. Jacob bought 6 light bulbs
Hope this helps!

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4 years ago

Please find the answers

Nikitich [7]

Answer: -4,-3,-2,-1,0,1,2,3

Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.

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4 years ago