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Stella [2.4K]
3 years ago
5

The points plotted below are on the graph of a polynomial. In what range of x-values must the polynomial have a root? Check all

that apply.
A. 2.5 to 3.5
B. 3.5 to 4.5
C. 5.5 to 6.5
D. -2.5 to -1.5
E. -1.5 to -0.5
F. 1.5 to 2.5

Mathematics
1 answer:
Annette [7]3 years ago
4 0
"2.5 to 3.5", "5.5 to 6.5", "-1.5 to -0.5" and "1.5 to 2.5" are the range of x-values among the following choices given in the question for which <span>the polynomial must have a root. The correct options among all the options that are given in the question are options "A", "C", "E" and "F". I hope that the answer has come to your help.</span>
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Use the figure to the right to find the value of PT. T is the midpoint of PQ.
vichka [17]

Answer:

22

Step-by-step explanation:

Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.

Therefore:

5x + 2 = 7x - 6

Let's find the value of x

Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.

5x - 7x = - 2 - 6

-2x = -8

Divide both sides by -2

x = 4

Plug in the value of x into the expression, 5x + 2, to find PT.

PT = 5(4) + 2 = 22.

8 0
3 years ago
2x-10= -6<br> what is x i need help fast
larisa86 [58]

Answer: 2

Step-by-step explanation: add 10 to both sides so -10+10=0 and -6+10=4

then you have 2x=4 simplify

8 0
3 years ago
The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth.
grandymaker [24]
I think your answer is 56
3 0
3 years ago
What is the answer to 12x23
Triss [41]
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8 0
4 years ago
8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)?
Marysya12 [62]

Answer:

The total percent decrease is $a+b-\frac{a b}{100}$

Step-by-step explanation:

  • We are given with a word problem
  • We are asked to find the total percentage decrease
  • We can do this in two steps

         Step 1: Finding the two percentage decrease

         Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

$$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$$

Step 2 of 2

The percentage difference between the two percentages is,

$$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$$

Since 100 is the total percent $a+b-\frac{a b}{100}$ is the percentage decrease.

3 0
2 years ago
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