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3 years ago

Divide the polynomials. Your answer should be in the form p(x) + k/x where p is a polynomials and k is an integer. 4x^4-x^2+3/x

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

Answer:

Step-by-step explanation:

4 $x^{4}$ -x²+3 / x =

So, we need to think about this problem as either what we have to multiply x by to get the equation, and do long division

= 4x³- x + $\frac{3}{x}$

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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.

5 0

2 years ago

Solve the following simultaneous equations. 5x – 3y = 6 3x + 4y= 21

ehidna [41]

Answer:

y = 3, x = 3

Step-by-step explanation:

5x – 3y = 6

5x = 6 + 3y

x = (6 + 3y)/5

3x + 4y= 21

3x = 21 - 4y

x = (21-4y)/3

Using simultaneous equations:

(21-4y)/3 = (6 + 3y)/5

--> 105-20y = 18 + 9y

29y = 87

y = 3

x = (6 + 3(3))/5 = 3

3 0

2 years ago

Is ∆JKL ≅ ∆KJM ? Justify your answer below.

makkiz [27]

Answer:

Yes, the triangles are congruent by ASA

Step-by-step explanation:

we know that

If any two angles and the included side are the same in both triangles, then the triangles are congruent by Angle-Side-Angle (ASA)

In this problem

LK=MJ

∠KLJ=∠KMJ

∠LKJ=∠MJK

Two angles and the included side is equal in triangle JKL and triangle KJM

therefore

JKL≅KJM ----> by ASA

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3 years ago

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What is the equation in the slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the li

Igoryamba

Answer:

Step-by-step explanation:

The slope is 2/5 and the slope of the new line will be -5/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y--2)=-5/2(x-2)

y+2=-5/2x+10/2

y=-5/2x+5-2

y= -5/2x+3

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3 years ago

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What is the product of 5×70

d1i1m1o1n [39]

The answer is 350!! hope i helped

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2 years ago

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