Answer:8 2/3
Step-by-step explanation:
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
Learn more about quadratic equations here: brainly.com/question/1863222
#SPJ2
What is the polynomial of least degree with the given zeroes -2 and 4?
Answer:
-2
Step-by-step explanation:
base on my stuck knowledge
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.
HURRY HELP PLS!!
Answer:
y = 3x + 10
Step-by-step explanation:
Answer:
im pretty sure it is (0,5) or (10,0)
Step-by-step explanation:
2(5x−2)− 2x -2 =34
Solve for x
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places
Answer:
Step-by-step explanation:
Confidence interval formula is expressed as;
CI = xbar ±(z*s/√n)
xbar is the mean = 36
z is the z score at 95% CI = 1.96
s is the standard deviation = 6.9
n is the sample size = 22
Substitute
CI = 36 ±(1.96*6.9/√22)
CI = 36 ±(1.96*6.9/4.6904)
CI = 36 ±(1.96*1.4711)
CI = 36 ± 2.8833
CI = (36 - 2.8833, 36 + 2.8833)
CI = (33.1167, 38.8833)
Hence the 95% CI for the true population mean is 33.12<x<38.88
A business is owned by 3 people. Mrs. Applegate owns
3
19
of the business. Mrs. Brown owns 3 times as much as
Mrs. Charles. What fractional part of the business does Mrs. Brown own?
Given:
Mrs. Applegate owns [tex]\dfrac{3}{19}[/tex] of the business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
To find:
The fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns [tex]=\dfrac{3}{19}[/tex] of the business.
[tex]x+3x+\dfrac{3}{19}=1[/tex]
[tex]4x=1-\dfrac{3}{19}[/tex]
[tex]4x=\dfrac{19-3}{19}[/tex]
[tex]4x=\dfrac{16}{19}[/tex]
Divide both sides by 4.
[tex]x=\dfrac{16}{4\times 19}[/tex]
[tex]x=\dfrac{4}{19}[/tex]
Now,
Mrs. Brown owns [tex]=3\times x[/tex]
[tex]=3\times \dfrac{4}{19}[/tex]
[tex]=\dfrac{12}{19}[/tex]
Therefore, Mrs. Brown owns [tex]\dfrac{12}{19}[/tex] of the business.
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20
Answer:
The expected value of lateness [tex]\frac{7}{20}[/tex] hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
Compute the expected value of lateness as follows:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
[tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]
Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.
Expected value of lateness is [tex]\frac{7}{20}[/tex] hours.
Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.
So, below a table is formed.
x 0 1 2 3
P(x) 4/5 1/10 1/20 1/20
From formula of expected value,
E(x) = ∑ x P(x)
[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]
So, expected value of lateness is 7/20 hours.
Learn more:
https://brainly.com/question/23286309
2)
Mike went to the doctor and was found to be 20 pounds overweight.
The doctor discovered that Mike ate an average of 2000 calories per
day. He said for Mike to lose weight and meet his goal, the maximum
amount of calories he could eat per day was 1750. How many calories
will Mike be cutting out each week (7 days)?
Answer:
1750 Calories
Step-by-step explanation:
2000-1750=250
250x7=1750
Which is a graph for the inequality m greater than or equal to 2?
Answer:
The third one is the answer. if you ever need help hit me up.
Step-by-step explanation:
6. What is the equation in slope-intercept form for the graph shown?
A) y + x = −2
B) y = 2x + 1
C) y – 2x = 1
D) y = –2x + 1
3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;
Answer:
4) y = -1/2x + 1;
Step-by-step explanation:
maybe
or maybe not
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
Poooo sieieoleltlrllrlr
Answer:
ol rjlrjlfjcohcoucoycl lj
Answer:
:3
Step-by-step explanation:
How do I solve for x 7x–1=125
Answer:
x=18
Step-by-step explanation:
You add 1 on each side so you have 7x=126. Then you divide each side by 7, so you get x=18! Hope this helps!
I need help solving this
Answer:
It's D.
Step-by-step explanation:
31-4 = 27 , 63 + 27 = 90 :) so the answer's D. 31
Answer:
D) 31
Step-by-step explanation:.
It is a right angle. All right angles equal 90°. So the two angles add up to 90
90= 63 + x - 4
Add 4 to each side
94 = 63 + x
Subtract 63 to each side
31 = x
How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100
Answer:
You use decimal values. Like for the first one, multiply 100 by 0.01.
Step-by-step explanation:
The multiplication or division is 10^6/10^4
How to interpret integral multiplication?Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b
Then, their multiplication can be interpreted as:
[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]
For example,
[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]
Given;
From 100 to 10^6;
100 * 10^4 = 10^6
From 100 to 90;
100/10*9=90
From 90 to 100
90/9*10=100
From 10^6 to 100
10^6/10^4=100
Therefore, by multiplication or division will be 10^6/10^4
Learn more about multiplication here:
https://brainly.com/question/26816519
#SPJ2
Can someone help me? Please i need this done
Look at image which graph shows T (ABC)?
Answer:
A.
Step-by-step explanation:
That is a translation of 3 units left and 6 units down.
Need help with this problem please! I believe it is b but I get a different answer everytime I redo it!
Answer:
no u right its b
Step-by-step explanation:
Explain how to find the slope of the line. And explain answer
Answer:
by using the slope incercept form: y=mx+b
this one is m=7/3 (m is the letter we use for the word slope btw) :)
Step-by-step explanation:
What is mA?
Enter your answer in the box.
Answer:
X=3.75
Step-by-step explanation:
A=24.25
I guess
For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?
Answer:
23
Step-by-step explanation:
A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.
definitonss for math really easy
Answer:The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.
A system of linear equations is usually a set of two linear equations with two variables. x + y = 5 x+y=5 x+y=5x, plus, y, equals, 5 and 2 x − y = 1 2x-y=1 2x−y=12, x, minus, y, equals, 1 are both linear equations with two variables. When considered together, they form a system of linear equations.
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial the 3 is a constant term.
Step-by-step explanation:
Help me please please
Answer:
wut i cannot see the question
Step-by-step explanation:
what is 0.44×(−534) ??
Answer:
−234.96
Step-by-step explanation:
Hope its the right answer that you're looking for :)
ratio of 5 to 2 total number of servers and cooks is 42 how many servers
Answer:
30
Step-by-step explanation:
5 x 6 = 30
2 x 6 = 12
30+12 = 42