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Ghella [55]
4 years ago
12

Which binomials are factors of x^2 + 4x – 12?

Mathematics
2 answers:
rusak2 [61]4 years ago
5 0
(X+6)(x-2)
X=-6
X=2
Hope this helps
mamaluj [8]4 years ago
4 0

Answer:

x + 6 and x - 2

Step-by-step explanation:

Given

x² + 4x - 12

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)

The factors are + 6 and - 2, since

6 × - 2 = - 12 and 6 - 2 = + 4 , thus

x² + 4x - 12 = (x + 6)(x - 2) ← in factored form

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In a study of the accuracy of fast food​ drive-through orders, one restaurant had 34 orders that were not accurate among 371 ord
postnew [5]

Answer:

The claim that he rate of inaccurate orders is equal to​ 10% is supported by statistical evidnece at 5% level

Step-by-step explanation:

Given that in a study of the accuracy of fast food​ drive-through orders, one restaurant had 34 orders that were not accurate among 371 orders observed.

Sample proportion p=0.092\\q=1-p = 0.908\\n = 371

H_0: p =0.10\\H_a: p \neq 0.10

(Two tailed test at 5% significance level)

p difference = 0.092-0.100\\=-0.0084

Std error if H0 is true = \sqrt{\frac{0.1(0.9)}{371} } \\=0.016

Test statistic Z = p diff/std error

=0.539

p value = 0.5899

Since p > 0.05 accept null hypothesis

The claim that he rate of inaccurate orders is equal to​ 10% is supported by statistical evidnece at 5% level

8 0
4 years ago
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6 0
3 years ago
What is the number value of 5 in 124​
vekshin1

Answer:

0

Step-by-step explanation:

because 5 is no where in the number 124

6 0
3 years ago
Read 2 more answers
Sam bought 15 pies and 7 slices of cake for $55.25. If each pie cost 2/5 as much as a slice of cake, what was the total cost of
romanna [79]

Answer: $10.20

Step-by-step explanation:

Let's first collect the information from the word problem.

<h3><em>We are told:</em></h3>
  • Bought 15 pies and 7 cake slices
  • Total cost was $55.22.
  • Pies cost \frac{2}{5} as much as a slice of cake
<h3><em>We need to solve for:</em></h3>
  • Total cost of 1 pie and 2 cake slices

1. Create an equation/expression:

To solve the problem, we need to find the price of a pie and cake slice.

Using the information gathered, the equation is:

    55.25 = 7x+15(\frac{2}{5} x)

<em>x = the cost of the slice of cake.</em>

<em />

2. Simplify/Solve

55.25 = 7x+15(\frac{2}{5}x)\\55.25 = 7x+15*\frac{2}{5}*x\\55.25 = 7x+6x\\55.25 = 13x\\4.25 = x

  • Great! we have the price of a slice of cake. ($4.25)

Remember that the pie is \frac{2}{5} of a slice of cake, so now find the price of the pies.

Pie = \frac{2}{5} 4.25

Pie = $1.70

  • Awesome! We know a slice of cake costs $4.25 and a slice of pie costs $1.70.

3. Check your work!

<em>Check to make sure the math is done correctly!</em>

55.25=7(4.25)+15(1.70) \\55.25=29.75+25.50\\55.25=55.25

Good! It is verified that our calculations are correct.

4. Solve!

1 pie and 2 cakes cost: 1.70+2(4.25)

  • $10.20 is our final answer!

  • Hope this helped!~~ -Astro

7 0
4 years ago
We can solve for x using a technique called successive approximations. step 1: if we assume that x is very small compared to 0.1
STALIN [3.7K]

Supposed that we are given the equation:

7.20 x 10^-5 = x(0.100+x)^2 

 

So assuming that x is very small so that:

0.100 + x ~ 0.100

and calling it x1, so:

 

7.20 x 10^-5 = x1 (0.100)^2 

Then we simply solve for x1:

 

x1 = 7.20 x 10^-5 / (0.100)^2 

<span>x1 = 7.20 x 10^-3</span>

8 0
3 years ago
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