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3 years ago

( Identify the terms, their coefficients for each of the following expressions)

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

7 0

Answer:

i. terms = 5xy(z)^2 , -3zy

coefficient = 5 and -3

ii. terms = 1 , X ,x^2

coefficient = 1 , 1

iv. terms = 3 , -pq , qr, -rp

coefficient = -1 ,1 , -1

v. terms = X/2 , y/2 , -xy

coefficient= 1/2 ,1/2 and -1

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3 years ago

Lydia is making spaghetti sauce at a community luncheon. Each batch requires 1⁄2 teaspoon of salt, 1⁄3 teaspoon of oregano, 1⁄4

Troyanec [42]

Salt is used in the largest quantity in Lydia's recipe.

Explanation

Required spices are......

Salt = $\frac{1}{2}$ teaspoon , Oregano = $\frac{1}{3}$ teaspoon, Crushed thyme = $\frac{1}{4}$ teaspoon and Black peeper = $\frac{1}{8}$ teaspoon

For finding the largest quantity, first we need to make the denominators of each fraction as equal and then identify the largest numerator.

The denominators are 2, 3, 4 and 8 and their LCM(Least common multiple) will be 24. So.....

$\frac{1}{2}= \frac{1*12}{2*12}=\frac{12}{24} \\ \\ \frac{1}{3}=\frac{1*8}{3*8}=\frac{8}{24}\\ \\ \frac{1}{4}=\frac{1*6}{4*6}=\frac{6}{24}\\ \\ \frac{1}{8}=\frac{1*3}{8*3}=\frac{3}{24}$

As the largest numerator is 12 here, so the value of $\frac{1}{2}$ is largest among all the fractions.

Thus, Salt is used in the largest quantity in Lydia's recipe.

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3 years ago

Factor x^3 -7x^2 -5x+35 by grouping. what is the resulting expression

Anni [7]

Answer:

(x-7) (x^2-5)

Step-by-step explanation:

x^3 -7x^2 -5x+35

Make 2 groups

x^3 -7x^2 -5x+35

Factor x^2 from the first group and -5 from the second group

x^2 (x-7) -5(x-7)

Now factor (x-7) out

(x-7) (x^2-5)

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3 years ago

Rewrite the expression with the given base. 16^x with a base of 2.

olga55 [171]

Keeping in mind that 16 = 2*2*2*2, thus 16 = 2⁴

$\bf 16^x\implies (2^4)^x\implies 2^{4\cdot x}\implies 2^{4x}$

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3 years ago

( Identify the terms, their coefficients for each of the following expressions)​

( Identify the terms, their coefficients for each of the following expressions)