Please help!
Select the correct answer.
which statement best describes the zeros of the function h() = (x-4)(x-7x+ 10)
O A. The function has four complex zeros.
O B. The functlon has three distinct real zeros.
O C. The function has two distinct real zeros and two complex zeros.
O D. The function has four distinct real zeros.
Answers
Answer:
The zeros are:
[tex]x =4, x=2, x = 5[/tex]
The function has three distinct real zeros.Hence, option (B) is true.
Step-by-step explanation:
Given the expression
[tex]h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)[/tex]
Let us determine the zeros of the function by putting h(x) = 0 and solving the expression
[tex]0=\left(x-4\right)^2\left(x^2-7x+10\right)[/tex]
switch sides
[tex]\left(x-4\right)^2\left(x^2-7x+10\right)=0[/tex]
as
[tex]x^2-7x+\:10=\left(x-2\right)\left(x-5\right)[/tex]
so
[tex]\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0[/tex]
Using the zero factor principle
[tex]\mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]so
[tex]x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]
[tex]x =4, x=2, x = 5[/tex]
Thus, the zeros are:
[tex]x =4, x=2, x = 5[/tex]
It is clear that there are three zeros and all the zeros are distinct real numbers.
Therefore,
The function has three distinct real zeros.Hence, option (B) is true.
Related Questions
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins. when the two crews start working together, what part of all the garbage bins will the first garbage truck empty?
Answers
Answer:
0.6
Step-by-step explanation:
Answer:
A. 0.6
Step-by-step explanation:
Find the value of X, then find AB and DC.
(opposite sides are congruent)
AB= 3x+8
DC= x+12
Answers
Answer:
x = 2
AB = 14
DC = 14
Step-by-step explanation:
If opposite sides are congruent, then:
AB = DC
AB = 3x + 8
DC = x + 12
Thus:
3x + 8 = x + 12
Collect like terms
3x - x = -8 + 12
2x = 4
Divide both sides by 2
x = 2
AB = 3x + 8
Plug in the value of x
AB = 3(2) + 8 = 14
DC = x + 12
Plug in the value of x
DC = 2 + 12 = 14
Consider ΔDEF with centroid at point G and median EH. What is GH, if EG=3x+4 and GH=x+10?
Answers
Answer:
gh = x+9
Step-by-step explanation:
Find the shaded area. Use 3.14 as the approximate value of pi.
Answers
Answer:
164.73 cm²
Step-by-step explanation:
Area of the shaded area = area of semi-circle - area of the triangle
Area of the semi-circle:
Area = ½(πr²)
r = ½ of 34 = 17 cm
π = 3.14
Area = ½(3.14 × 17²)
Area = 453.73 cm²
Area of the triangle:
Area = ½*b*h
b = 34 cm
h = 17 cm
Area = ½ × 34 × 17
Area = 289 cm²
Area of the shaded area = 453.73 - 289 = 164.73 cm²
Kevin went fishing and is using a scatterplot to analyze the relationship between the weight of each of the fish he caught in pounds and in kilograms. He uses the weight in pounds as the independent variable and the weight in kilograms as the dependent variable. Which statement is correct?
The points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases.
The points on the scatterplot will go up from left to right because as the weight in pounds increases, the weight in kilograms decreases.
The points on the scatterplot will go down from left to right because as the weight in pounds increases, the weight in kilograms increases.
The points on the scatterplot will go down from left to right because as the weight in pounds increases, the weight in kilograms decreases.
Answers
Answer:
The answer is A.The points on the scatter plot will go up from left to right because as the weight in pounds increases, the weight in kilograms increases, because when the pounds (lbs.) increases, the kilograms (kg.) increase.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just did the quiz and got it right
i need help with this please! will give brainiest if answered correctly
Answers
Answer:
The correct answer is B. 0.75.
Step-by-step explanation:
In order to solve this problem, we just need to add the probabilities of all the age groups that include 35-64.
35-44 Age Group Probability: 0.14
45-54 Age Group Probability: 0.29
55-64 Age Group Probability: 0.32
0.32 + 0.29 + 0.14 = 0.75
Therefore, the correct answer is B. 0.75.
Hope this helps! :D
21.6 Computer use. A random sample of 197 12th-grade students from across the United States was surveyed, and it was observed that these students spent an average of 23.5 hours on the computer per week, with a standard deviation of 8.7 hours. If we plan to use these data to construct a 99% confident interval, the margin of error will be approximately (a) 0.07. (b) 0.62. (c) 1.6. (d) 8.7.
Answers
Answer:
(c) 1.6
Step-by-step explanation:
Calculation for what the margin of error will be approximately
First step is to calculate Total hours spent
Total hours spent = (197 * 23.5 hours)
Total hours spent =4,625 hours
Second step is to find the square root of the sample size
Sample size=√197
Sample size=14.04
Third step is to divide the Standard deviation of 8.7 hours by square root of sample size of 14.04
= 8.7 hours /14.04
= 0.6196
Fourth step is to use the Z table to find Z value at 99% confidence
Z value at 99% confidence = 2.58
Last step is to calculate the Margin of error
Margin of error = 0.6196 * 2.58
Margin of error = 1.59857
Margin of error= 1.6 (Approximately)
Therefore what the margin of error will be approximately is 1.6
4 x 13 on distributive property
Answers
Answer: 52
Step-by-step explanation:
Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Kyoko wants to determine if she’ll have enough time to finish the book before she has to go to bed.
Answers
Answer:
It will take her 3 hours and 120 pages
Step-by-step explanation:
It was on edge pls mark brainliest
Answer:
b
Step-by-step explanation:
which of the following angles are supplementary to <2?
Answers
mark me brainliest if the answer is correct, thank you in advance :)
A sample survey was taken of 100 students to determine which of three homecoming themes students prefer
Answers
Answer:
c
Step-by-step explanation:
4 white marbles, 6 yellow marbles, 9 green marbles
Answer:
4 white marbles 6 yellow marbles and 9 green marbles
35 - 35 +9:3)
+7
What is the answer do you know?
Answers
Answer:
35-35+9.7+735+9.7+7-3516.7Pls help me I am d$mb...
Answers
Answer:
ur not domb
Step-by-step explanation:
An online camping supplies outlet charges $14 for a canteen,
and shipping is $2 per order.
Part A
Write an expression that CJ can use to find the total cost in
dollars for ordering n canteens.
Part B
CJ orders 2 canteens and his friend Cameron orders 4 canteens.
What is the total cost, including shipping, for both orders?
Show your work.
Answers
Answer:
Part A: 14x + 2
Part B: CJ's order is $30, and Cameron's order is $58.
Step-by-step explanation:
Part A: The total cost of the order would be $14 multiplied by the amount of canteens, plus the shipping price of $2. This is what my expression represents.
Part B:
CJ's Order:
14(2) + 2 =
28 + 2
$30
Cameron's Order:
14(4) + 2 =
56 + 2 =
$58
Hope this helps! :D
In ΔKLM, l = 2.4 inches, m = 4.2 inches and ∠K=159°. Find the length of k, to the nearest 10th of an inch
Answers
Answer:
sorry
Step-by-step explanation:
A) -165 °
B) -125 °
C) 125 °
D) 165 °
Answers
Answer:
it might be B, but dont trust me on this one because im not so sure.
Step-by-step explanation:
srry i just dont do this yet i havent rlly learned this but ik a bit abt it so yea. have a great night !
Two less than three times a number is equal to 19. What is the number?
Answers
The best way to approach a word problem like this
is to break it down into pieces, so we can understand it fully.
In this problem, we have a number, which we don't know.
We can use any variable to represent it.
So let's use the variable n to represent it.
"Two less than three times a number" means 3n - 2.
A common mistake is for students to put 2 - 3n.
However, the word "less than" switches the order around.
So we have 3n - 2 = 19.
Solving from here, we add 2 to both sides to get 3n = 21.
Now divide both sides of the equation by 3 and we have n = 7.
So the number is 7.
Write an equation for the line that passes through (2,-1) and is parallel to the line y= 3x+8?
Answers
Answer:
y= 3x + 5
Step-by-step explanation:
If it is parallel it has the same slop so we know mx = 3x
then solve for b
-1 = 3(2) + b
-1 = 6 + b
5 = b
Juanita constructed a number line to test her brother’s understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A.
Which represents the opposite of Point A?
Negative (negative 10)
Negative (negative 5)
0
Negative (10)
Answers
Answer:
-(10)
Step-by-step explanation:
Answer:
negative (negative 10) is the answer.
Step-by-step explanation:
14x + 6 = 2(5+7x) please help me
Answers
Answer:
14x+6= 10+14x
14x-14x= 10-6
x= 4
Step-by-step explanation:
x= 4
A mail carrier travels at 15 miles per hour through a neighborhood. Which table
represents the distance the mail carrier travels in x hours?
2
G
H
0 1 3
yo 16 18
0 24
yo 30 55
x 135
y 15 45 75
x 134
y 15 40 55
Answers
Answer:
Step-by-step explanation:
the table is not copied correctly, I assume
the mail carrier will travel a distance of 15x
50 students are going on a field trip. 20 of the students are boys. What percent of students are girls
Answers
Answer:
60%
Step-by-step explanation:
first you make a fraction. 30 ore girls and thats your numerator. the denominator is 50. make it a whole 100 on the denominator. what you do to the bottom fraction you do to the top. we multiple by 2, so 30 is now 60. 60/100. reduce it to its lowest 3/5. divide 3 by 5. its .6. which is 60%
Answer:
60%
Step-by-step explanation:
HELP ASAP
A company advertises on a website.
A worker tracked the number of visits to the website and the number of clicks
on the advertisement.
The table shows the data for several days.
A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1500 people visit the website?
A 137
B 77
C 83
D 105
Answers
Answer:
I'm sure the answer is A
Step-by-step explanation: There is none, I saw someone else answer this.
Answer:
I'm pretty sure it's 83
Step-by-step explanation:
Teacher explanation that I still don't really understand
Find the measure of angle A.
Answers
Answer:
30 degrees
Step-by-step explanation:
Keep this in mind, ALL triangles must equal 180 degrees.
This is an acute triangle, hence one of the angles is 90 degrees. To find the other two angles, we must solve for x. Since we know the sum of all angles in this triangle must equal 180 degrees, we know for setting up our equation, all the angles should equal 180.
[tex]90 + (x+37) + (x+67) = 180\\[/tex]
Now solve for x by isolating x
[tex]2x + 194 = 180\\2x=-14\\x=-7[/tex]
Our x is -7, now that we know that the numerical value of x is -7, replace x with -7 for angle A.
-7 + 37 = 30
<A is 30 degrees.
Check your work
Plug in -7 where you see x.
[tex]90 + (x+37) + (x+67) = 180\\90 + (-7+37) + (-7+67) = 180\\90 + 30 + 60 = 180\\180 = 180[/tex]
Turns out this was a 30-60-90 triangle. ✅
-1(-2)(-3)(-3)
please answer im so confused
Answers
There are49 students on a tour.Each guide can take 5 students.How many guides are needed?Explain.
Answers
Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4
Answers
Answer:
2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6
Step-by-step explanation:
A Zookeeper has 8 frogs. Each frog eats cups of food 3/4. How much food does the zookeeper need in total?
Answers
Answer:
6 cups
Step-by-step explanation:
8 x 3/4 = 6 I used a calculator
K(x)= -x^2 inverse function SHOW WORK PLEASE HELP FAST
Answers
Steps:
See attachment.
Description:
The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.
For more steps and graph see the attachment.
Answer: k=−x
Hope this helps.
So I need help with this. Why Do we seat?
Answers
Answer:
When we stand our muscles are working a little bit, and if we're moving around, our muscles are working even more, so we sit down to take a little bit of a break, but the problem starts when we sit down for too long. ... If we sit for too long, it's not good for our heart.
Step-by-step explanation:
hope this helps
