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mixer [17]
3 years ago
14

HELPPPP!!!!! what is the y-intercept of the parabola y = x2 + 6x .

Mathematics
2 answers:
DochEvi [55]3 years ago
8 0

x=0\\\\y=0^2+6\cdot0=0

So it's 0.

Natali [406]3 years ago
3 0

The y intercept is what we get when x=0, so in this case it's

Answer: y=0


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Can fractions still be considered natural, whole, integers, rational, irrational, or real numbers?
vitfil [10]
<span>Fractions are numbers which can be represented in the form p/q, where p and q are WHOLE NUMBERS and q is not zero Rational numbers are numbers which can be represented in the form p/q where p and q are INTEGERS and q is not zero So your saying " all rational numbers are all numbers that can be represented as a fraction." is wrong....... all fractions are rational numbers but NOT ALL rational numbers are fractions..</span>
7 0
3 years ago
A large chocolate bar has a base area of 47.1 square feet and it’s length is 0.7 feet longer than twice it’s width. Find the len
VLD [36.1K]

Answer:

The dimensions of the bar are width = 4.68099 feet and length = 10.06198 feet

Step-by-step explanation:

A chocolate bar has a rectangular shape, therefore it's area is given by the following formula:

area = width*length

In this case the length is 0.7 feet longer than twice the width, therefore:

length = 2*width + 0.7

Applying the second equation on the first one and using the data from the question we have:

47.1 = width*(2*width + 0.7)

47.1 = 2*width² + 0.7*width

2*width² + 0.7*width = 47.1

width² + 0.35*width = 23.55

width = \frac{-0.35 \pm \sqrt{0.35^2 -4*1*(-23.55)}}{2*1} = -0.175 \pm 4,85599

width = 4.68099 or width = -5.03099

Since the width can't be negative, it can only be 4.68099 feet.

length = 2*4.68099 + 0.7 = 10.06198 feet.

6 0
3 years ago
Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca
arsen [322]

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

4x - 15x = 6

-11x = 6

x = -6/11

Now multiply both sides of the equation by 3.

3(4x - 6) = 3(15x)

12x - 18 = 45x   ___new equation

Solve for X

12x - 45x = 18

-33x = 18

x = -18/33

Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

5 0
3 years ago
-104=-8(k+8) <br><br> K = ?<br> Solution please if can?
maksim [4K]

Let's solve this question by step by step.

Layout equation.

−104=−8(k+8)

Step 1: Simplify both sides of the equation.

−104=−8(k+8)

−104=(−8)(k)+(−8)(8)(Distribute)

−104=−8k+−64

−104=−8k−64

Step 2: Flip the equation.

−8k−64=−104

Step 3: Add 64 to both sides.

−8k−64+64=−104+64

−8k=−40

Step 4: Divide both sides by -8.

-8k/-8=-40/-8

The answer for this problem is k=5.

5 0
3 years ago
A rectangular piece of cloth has an area of 1/12 square yard. If the cloth is 2 yards wide, what is the length of the cloth? A.
SVETLANKA909090 [29]
1/12 = 2x
(1/12)/2=x
1/24=x
6 0
3 years ago
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