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USPshnik [31]
2 years ago
7

What is the factorization of the polynomial 2x^2+28x+98

Mathematics
1 answer:
Fed [463]2 years ago
8 0

Option B. 2(x+7)(x+7) is the factorization of the polynomial 2x^{2}  + 28x+98.

Step-by-step explanation:

Step 1:

To determine which of the following options is the factor for the polynomial we can expand the given options and see which matches the given polynomial 2x^{2}  + 28x+98.

So we expand the four given options.

Step 2:

Option A. (2x+7)(x+7) = 2x^{2} +14x + 7x + 49 = 2x^{2} +21x+49.

Option B. 2(x+7)(x+7) = 2 (x^{2} +14x+49) = 2x^{2}  + 28x + 98.

Option C. (x+7)(x+2) = x^{2}  +2x+7x+14= x^{2} +9x+14.

Option D. (x+7)(x+14)= x^{2} +14x + 7x + 98 = x^{2} +21x+98.

Only option B matches the given polynomial 2x^{2}  + 28x+98. So option B is the factorization of the polynomial 2x^{2}  + 28x+98.

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If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

\angle EFG=\angle EFH+\angle HFG

18x+11=(5x+1)+(62)

18x+11=5x+63

Isolate variable terms.

18x-5x=63-11

13x=52

Divide both sides by 13.

x=\dfrac{52}{13}

x=4

The value of x is 4.

\angle EFH=(5x+1)^\circ

\angle EFH=(5(4)+1)^\circ

\angle EFH=(20+1)^\circ

\angle EFH=21^\circ

Therefore, the measure of ∠EFH is 21°.

8 0
3 years ago
Idk so help pls<br>10 point ​
IceJOKER [234]

Answer:

30 milk chocolates

Step-by-step explanation:

42 ÷ 7 = 6 - a fraction of the chocolates

6 x 5 = 30 - the milk chocolates (7+5 = 12 which is the whole fraction).

4 0
3 years ago
The sum of the sequence of 685+678+671+664+...+6
lukranit [14]

Answer:

Sum of the sequence (Sn) = 33,859

Step-by-step explanation:

Given:

Sequence = 685+678+671+664+...+6

Find:

Sum of the sequence (Sn)

Computation:

a = 685

d = 678 - 985 = -7

an = 6

an = a+(n-1)d

6 = 685+(n-1)(-7)

-679 = (n-1)(-7)

97 = n-1

n = 98

So,

Sum of the sequence (Sn) = (n/2)[a+an]

Sum of the sequence (Sn) = (98/2)[685+6]

Sum of the sequence (Sn) = (49)(691)

Sum of the sequence (Sn) = 33,859

3 0
3 years ago
In a study of cereal leaf beetle damage to oats, researchers measured the number of beetle larvae per stem in small plots of oat
PSYCHO15rus [73]

Answer:

At 0.05 level of significance, there is no difference in the mean number of larvae per stem. This supports the scientist's claim.

(d) H0: MeanMalathion - MeanNoMalathion equals 0

H1: MeanMalathion - MeanNoMalathion not equals 0

Step-by-step explanation:

Test statistic (t) = (mean 1 - mean 2) ÷ sqrt[pooled variance (1/n1 + 1/n2)]

Let the difference between the two means be x and the pooled variance be y

n1 = 5, n2 = 12

t = x ÷ sqrt[y(1/5 + 1/12)] = x ÷ sqrt(0.283y) = x ÷ 0.532√y = 1.88x/√y

Assuming the ratio of x to √y is 0.5

t = 1.88×0.5 = 0.94

n1 + n2 = 5 + 12 = 17

degree of freedom = n1 + n2 - 2 = 17 - 2 = 15

significance level = 0.05 = 5%

critical value corresponding to 15 degrees of freedom and 5% confidence interval is 2.131

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to.

The region of no rejection of the null hypothesis lies between -2.131 and 2.131

Conclusion

Fail to reject the null hypothesis because the test statistic 0.94 falls within the region bounded by the critical values.

The scientist's claim is right.

A null hypothesis is a statement from a population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from a population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

3 0
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You can ask Siri. Answer is Increased 75%. “What percent is 56 out of 32.”
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