Thank you for posting your question here. Below are the choices that can be found elsewhere:
3, –3
6, –6
9, –9
<span>36, –36
</span>
The zero pare that can be added to the function so <span>that the function can be written in vertex form is 36, -36.</span>
Answer:
2/8, -18/40, -9/25
Step-by-step explanation:
Brainliest please!
The answer is: " x – (x + 8) " .
{<u>Note</u>: The simplified form is: " -8 ."}.
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<u>Step-by-step explanation</u>:
<u>We are given</u>:
→ " A number decreased by the sum of the number and eight."
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Let "x" represent the number referred to as "a number."
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"{<u>A number</u>} <em>decreased by</em> {<u>the sum of the (number and eight).}</u>" ;
↑ ↑ ↑
"x" "(minus)" " (x + 8) " ;
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So; we can write this as:
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→ " x – (x + 8) " ;
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<u>Edit—Addendum</u>:
{Now, if are then asked to simply this expression}:
→ " x – (x + 8) " ;
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Then: Rewrite as:
→ " x – 1(x + 8) " ;
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<u>Take note of the distributive property of multiplication</u>:
→ " a(b + c) = ab + ac " ;
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Likewise:
→ " x – 1(x + 8) " ;
→ Note the: " -1(x + 8) ";
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→ -1(x + 8) = (-1*x) + (-1*8) ;
= (-1x) + (-8) ;
= (-1x – 8) ;
Now, bring down the " ⁺x " :
→ " x – 1x – 8 " ;
Rewrite as:
→ " 1x – 1x – 8 " ;
Simplify:
→ " 1x – 1x – 8 " ;
= " (1x – 1x) – 8 " ;
= " (0 – 8) " ;
= " -8 " ; which is the simplified form of the
given algebraic expression.
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Hope this explanation is helpful to you!
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Answer:$189
Step-by-step explanation: 1% of $180 is $1.80
multiply $1.80 by 5 and you get $9
add $9 to $180
Answer:
a) f(x) tends to minus infinity
b) (0,768) is the y-intercept, (4,0) and (-3,0) are the x-intercepts.
Step-by-step explanation:
Our function is a polynomial of degree 4.
a) The monomial with highest degree determines the behavior of f(x) when x tends to infinity and when x tends to -infinity. This monomial is -4x⁴. Without expanding completely, (x-4)³ has x³ as a summand, which multiplies with -4x from the first factor, to give -4x⁴. When x goes to infinity (or minus infinitive), x²=(x²)² is positive (nonzero squares are always positive) thus -4x² is negative, and f(x) tends to minus infinity.
b). To find the y-intercept, we compute (0,f(0)). Since f(0)=-4(3)(-4)³=768, then (0,768) is the point of the y-intercept.
For the x-intercept, solve f(x)=0. f(x)=0 has the solutions x=-3 and x=4. In this case, the x-intercept is in both x=0 and x=4. Then (-3,0) and (4,0) are x-intercepts.