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Paraphin [41]
2 years ago
13

Juanita begins to factor an expression as shown. x2 3x−18=(x )(x−) what numbers should be placed in the boxes from left to right

? 3 and 6 2 and 9 6 and 3 9 and 2
Mathematics
1 answer:
Ivan2 years ago
7 0

The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.

<h3>What is a factor of polynomial?</h3>

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

Juanita begins to factor an expression as shown.

x^2+ 3x-18=(x+  \;\;)(x-\;\;)

To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,

x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)

Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.

Learn more about factor of polynomial here;

brainly.com/question/24380382

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The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet
PtichkaEL [24]
Let
L----------> <span>the length of the yard
W--------> </span><span>the width l of the yard

we know that
the perimeter is equal to
</span>P=2*[W+L]
72=2*[W+L] \\ 36=W+L  --------> equation 1
L=W+18  ------> equation 2
<span>substitute equation 2 in equation 1
</span>36=W+18+W \\ 36=2W+18 \\ W=(36-18)/2
W=9 ft
L=W+18 \\ L=9+18 \\ L=27 ft
<span>
we know that
Area of the rectangular yard is equal to
</span>A=L*W \\ A=27*9 \\ A=243  ft^{2}<span>


</span>
4 0
3 years ago
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5 miles= km. how many km in 250 miles
horsena [70]
Using that 1 mile = 1,6 km so 5 miles = 5*1,6 = 8 km 

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5 0
3 years ago
Simplify <br>28y=12x+84<br>I don't know this
irina1246 [14]
Divide everything by 4 getting:
7y=3x+21
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7 0
3 years ago
While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem
Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = <em><u>population proportion</u></em>.

So, Null Hypothesis, H_0 : p = 0.013      {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, H_A : p > 0.013      {means that this is an unusually high number of faulty modems}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                             T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion faulty modems= \frac{10}{367} = 0.027

           n = sample of modems = 367

So, <u><em>the test statistics</em></u>  =  \frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }

                                     =  2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. <u>Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.</u>

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0
3 years ago
1.) 3(x + 7) - 9x (x = 1​
MrMuchimi

Answer:

bonjour voilà la réponse 4.55

7 0
3 years ago
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