Answer:
The values of x are:
[tex]x=3,\:x=7[/tex]
Step-by-step explanation:
Given the expression
[tex](x-2)^2-6(x-2)+5=0[/tex]
Expand (x - 2)² = x² -4x + 4
[tex]x^2-4x+4-6\left(x-2\right)+5=0[/tex]
Expand: -6(x - 2) = -6x + 12
[tex]x^2-4x+4-6x+12+5=0[/tex]
simplifying
[tex]x^2-10x+21=0[/tex]
Factor x² -10x + 21: (x - 3) (x - 7)
[tex]\left(x-3\right)\left(x-7\right)=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x-3=0\quad \mathrm{or}\quad \:x-7=0[/tex]
solving x - 3 = 0
x - 3 = 0
Adding 3 to both sides
[tex]x-3+3=0+3[/tex]
simplify
x = 3
solving x - 7 = 0
x - 7 = 0
Adding 7 to both sides
[tex]x-7+7=0+7[/tex]
Simplify
x = 7
Therefore, the values of x are:
[tex]x=3,\:x=7[/tex]
You’re five neighboring restaurants charge $9.95, $12.95, 8.50, 8.95, and $10.54 hamburger special. What is the mean price
4. Write the equation of the line shown in the graph below. I
Answer:
y=2x-1
Step-by-step explanation:
Answer: y= -1 +2x
Step-by-step explanation:
you go with the minus one because thats where it intecepts y and you go with 2x because thats the slope it is going up 2 on y for every 1 on the x
Quadrilateral ABCD with vertices A(-9, 2), B(-8, 8), C(-4, 6), and D(-2, 2) is shown. You want to reflect quadrilateral ABCD in the
vertical line that passes through the midpoint of BC . Graph the line of reflection and the image after the reflection.
Answer:
See explanation.
Step-by-step explanation:
Graph the quadrilateral. By inspection, you can tell where the midpoint is. (see attachment 1)
Now, I'll draw a line through it. (see attachment 2)
To reflect across a line, think about the points traveling across the line the same number of spaces the point is from the line. For example, point A is three away from the line. So, A' will be 3 away from the other side. The coordinates will be at (-3,2). (see attachment 3).
Do the same for the other points, and you'll have your image.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
i cant see the question
Step-by-step explanation:
Answer:
Point Form:
(
−
4
11
,
−
19
11
)
Equation Form:
x
=
−
4
11
,
y
=
−
19
11
Step-by-step explanation:
Nick brings five pizzas to a birthday party. The boys at the birthday party eat 2/5 of the pizzas. How many pizzas did the boys eat? Explain
Answer:
2 pizzas
Step-by-step explanation:
2/5 of 5 is easy since there are 5
so 2 out of 5 is 2
Answer:
2 pizzas
Step-by-step explanation:
If there were 5 pizzas to begin with and only 2 out of that 5 were eaten, then that means they ate 2
0 0 0 0 0 pizzas started with
_ _ pizzas ate
0 0 0 pizzas left with
So if there were 3 pizzas left with, then you can subtract 3 from 5 to see how many are gone or eaten.
Hope this Helps!!!
help with B please for 20 points!!!
Answer:
a) agree, it's experimental
b) 5/20 + 2/20 = 7/20
Step-by-step explanation:
Round 7095.38193145 to the nearest ten
Answer:
7100 is your answer for rounding it in the TENS place
If your rounding to the TENTHS place you are going to get 7095.4 as your answer.
Answer:
7100 in the tens place.
Step-by-step explanation:
Maylin and Nina are making fruit baskets. They have 36 apples, 27 bananas, and 18 oranges. They want each basket to contain the same amount of fruit. Maylin believes the greatest number of baskets they can make is 6, and Nina believes the greatest number of baskets they can make is 9. Determine who is correct. Explain how you know.
describe the error made by the person who was incorrect
Then determine the number of each fruit that will be in each basket. Show your work
Answer:Nina
Step-by-step explanation:
21
10. The plays generally considered the tragedies by William
Shakespeare are Antony and Cleopatra, Coriolanus, Hamlet,
Julius Caesar, King Lear, Macbeth, Othello, Romeo and Juliet,
Timon of Athens, and Titus Andronicus. Find the probabilities
of the events shown.
1
a. The title of the play contains the word “King”
10 1
b. The title of the play begins with the letter “T”.
5
c. The title of the play contains the letter “Q” 0
d. The title of the play contains the names of two people
20
y.
Answer:
I think its C
Step-by-step explanation:
b. , using the
Pythagorean Theorem,
show that.
C. Solve for X
The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8. Determine the mean of the lengths. Mean (in tenths of millimeters) Round your answer to two decimal places (e.g. 98.76).
Answer:
The mean of the lengths is 0.35 tenths of millimeters
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and it's mean is given by:
[tex]M = \frac{a+b}{2}[/tex]
The lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.8.
This means that [tex]a = 0, b = 590.8 - 590.1 = 0.7[/tex]
So, the mean is:
[tex]M = \frac{a+b}{2} = \frac{0 + 0.7}{2} = 0.35[/tex]
The mean of the lengths is 0.35 tenths of millimeters
Use the bar diagram to model the situation. Then write and solve an equation.
A family has bags of popcorn in their cabinet. Each bag of popcorn has kernels in it. How many kernels of popcorn are in the cabinet?
LOADING... Click the icon to view the bar diagram.
Let s be the number of kernels of popcorn in the cabinet.
The equation
nothing represents this situation.
(Use the operation symbols in the math palette as needed. Do not perform the calculation.)
Answer:
LOADING...................................
Step-by-step explanation:
10 to the 8 power is what
Answer:
it is 100000000 i think i am not sure either
Please help this is my last thing to do!!!
A rectangle has sides measuring (3x + 5) units and (6x + 11) units. Part A: What is the expression that represents the area of the rectangle? Show your work
Part B: What are the degree and classification of the expression obtained in Part A?
Part C: How does Part A demonstrate the closure property for polynomials?
Answer:
area = 18x² + 63x + 55 square units
Second-degree trinomial.
Step-by-step explanation:
area = (3x+5)(6x+11) = 18x² + 63x + 55 square units
Second-degree trinomial.
- Identify a pair of alternate exterior angles.
1
2
8
3
3
7
4
6
3
O <3 and 24
O_1 and 2
O_1 and 26
OL2 and 26
Answer:
should be angle 2 and angle 6
A quality-control engineer samples 100 items manufactured by a certain process, and finds that 15 of them are defective. True or False:
a) The probability that an item produced by this process is defective is 0.15.
b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Step-by-step explanation:
Given that:
Number of samples = 100
Number of defective samples = 15
Proportion =number defective samples / total samples
P = 15 / 100 = 0.15
Hence, the probability that an item produces is defective is 0.15.
However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
How many calories are there in 2 1/2 cup of cereal
Answer:
330 calories if it is 2 1/2 cup of cheerios.
Step-by-step explanation:
140 is 1 cup of cheerios multiply it by 2
50 is half a cup
now add 280 (140 x2) plus 50 which equals = 330 calories for 2 1/2 cups of cheerios.
write the fraction 4/10 as a product of a whole number and a unit fraction
Answer:
Step-by-step explanation:
Answer:
4 x 1/10
Step-by-step explanation:
All you have to do is to add 1/10 + 1/10 + 1/10 + 1/10.
Add the numerators 1+1+1+1=4 and keep your denominator.
So just add 1/10 4 times, thas why the answer is 4 x 1/10.
I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:
13 + h = 21
13 - 13 + h = 21 - 13
0 + h = 8
h = 8
8 ≠ 9
13 + ( 9 ) = 21
22 = 21
22 ≠ 21
3) Conclude: The given value of ( h ) is not a solution of the given equation.
find the solution
[tex]3(2x + 12) = 6(x + 6)[/tex]
You flip 15 fair coins once. What is the probability of getting at least 12 heads?
Answer:
0.017578 or 1.76%
Step-by-step explanation:
The probability of getting at least 12 heads is 0.01757.
What is Binomial Distribution?In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1- p), depending on the outcome's boolean value.
Given a coin is tossed 15 times,
to find the probability of getting 12 heads,
P(X ≥ 12) Probability of at least 12 successes
At least 12 successes include X-values of
X=12, 13, 14, 15
To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,
P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
p(x) = ⁿCₓpˣqⁿ⁻ˣ
n = 15
P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)
P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ + ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴
+ ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵
P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045 + .0000030
P(X ≥ 12) = 0.01757
Hence probability is 0.01757.
Learn more about Binomial Distribution;
https://brainly.com/question/14565246
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In addition to his hourly rate, Mr. Smith is paid $2.20 for each watch he fixes. Write an expression for his income if he fixes r watches per hour?9.5 is hourly rate.
Step-by-step explanation:
y = hourly income
r = number of watches fixed
equation: y = 2.20r + 9.5
What is 240 more than 100
Answer:
340
Step-by-step explanation:
240 + 100 = 340
Percent of change
Find the Percent of decrease for the following problems:
1. Chad played three hours of Pokémon Go per day during the summer. Since
school began, he is only allowed to play one hour per day.
2. Karen has 7 Eevees in her Pokémon stash. She transferred some in to the
Professor and now only has 2 Eevees.
3. It takes 200 coins to get a bag upgrade in Pokémon Go. The creators
decided to throw a sale on bag upgrades. For one day only, anybody can
upgrade their bag for 125 coins.
Answer:
1. 33%
2. 28
3. 62.5
Step-by-step explanation:
4 1/6 + 2 3/4 too many answer not sure which is correct
Answer:
6.91666666667
Step-by-step explanation:
PLS HELP NEEDED ASAP GIVING BRAINLESS
What is the volume of the prism?
Answer:
VOLUME OF PRISM = L X W X H (or) LWH
so, L = 2 in
W = [tex]2\frac{1}{4}[/tex] in (or) [tex]\frac{9}{4}[/tex] in
H = 4 in
volume = 2 x [tex]\frac{9}{4}[/tex] x 4 = 18 in³
Write an inequality that matches the graph.
A number line from zero to ten is shown. A ray extends to the left from a closed circle at six.
Answer:
[tex]x \leq 6[/tex]
Step-by-step explanation:
because the ray travels left, x has to be lower than 6, and since it is a closed circle, means that 6 is included in the answer, so x is less than or equal to 6.
If the second term of an arithmetic progression is - 4 and the fourth term is 4, find the eighth term.
Answer:
Step-by-step explanation:
a₄ = a₁ + (4-1)d
4 = -4 + 3d
d = 8/3
a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔
Helpp please due soon
Step-by-step explanation:
b+133=180
b=180-133
b=47
a+71+40=180
a+111=180
a=180-111
a=69
c+64=180
c=180-64
c=116
140=d+47
140-47=d
d=93
e+47+47=180
e+94=180
e=180-94
e=86