Answer:
2/5 × 3/2
I hope this helps!
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
question below please answer
Answer:
the awenser is D
Step-by-step explanation:
took the test lolz
Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.
Answer:
The minimum sample size required is 97.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this confidence interval is:
[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information provided is:
[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]
The critical value of z for 95% confidence level is, z = 1.96.
Compute the minimum sample size required as follows:
[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]
Thus, the minimum sample size required is 97.
what is 0.44×(−534) ??
Answer:
−234.96
Step-by-step explanation:
Hope its the right answer that you're looking for :)
Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9
Answer:
y = 2x + 6
slope = 2
y intercept = 6
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.
Select the correct answer.
The number of days, d, it will take Manny to read a book varles inversely as the number of pages, p, he reads per day. If kis the constant of
variation, which equation represents this situation?
OA. d+p=k
OB. dp = k
OC. d= pk
OD. d=p+k
The equation represents this situation will be dp = k. Thus, option B is correct.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
The inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.
If k is the constant of variation.
The equation represents this situation will be
dp = k
Thus, option B is correct.
Learn more about proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
CAN SOMEONE PLEASE HELP WILL GIVE BRAINLIEST
Answer:
c = 7
d = 5
Step-by-step explanation:
Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:
x^6 * x = x^7 therefore c was a "7"
In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.
Therefore d = 5
Find the value of X, I need help solving this
Answer:
B) 13
Step-by-step explanation:
The given angles are vertical angles and has same measurement
4x = 52° divide both sides by 4
x = 13
THIS IS DUE IN 10 MINS
Answer:
D
Step-by-step explanation:
Order the numbers from least to greatest.
Answer: -11/2, -5/7, 0.1, 4/5, 1.3
Step-by-step explanation:
It might be easier to convert these fractions into decimals so let’s do that. -5/7 becomes about -0.7, 4/5 becomes 0.8, 1.3 is already a decimal, -11/2 becomes -5.5, and 0.1 is already a decimal. Negative numbers are less than positive numbers and -5.5 is a bigger negative number than -0.7, so -5.5 (-11/2) comes first and -0.7 (-5/7) comes second. 0.1 is less than 0.8 so 0.1 is third and 0.8 (4/5) is fourth. That leaves 1.3 as the greatest number. This gives us the list -11/2, -5/7, 0.1, 4/5, 1.3. Hope this helps!
Which point represents the value of –(–2) on the number line? A number line has points A, negative 3, B, blank, 0, blank, C, 3, D. Point A Point B Point C Point D
Answer:
it is C
Step-by-step explanation:
The point that represents the value of -(-2) is point C.
Option C is the correct answer.
We have,
The value of –(–2) is equivalent to 2.
On the number line, the point that represents the value of –(–2) is Point C, which is located at position 2.
This is because when we negate a negative number, it becomes positive.
Therefore, –(–2) is equal to 2.
Thus,
The point that represents the value of -(-2) is point C.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ2
Graph the linear equation 4x+9y=36 solving for y
Answer:
y=4-4/9x x=9-9/4y
Step-by-step explanation:
jyEahahhhhh
Moses is solving the problem below.
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.
Look at the table below.
Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents
In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4
Answer:
2.21184 or 2.212
Step-by-step explanation:
step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false
Answer:
Step 3
Step-by-step explanation:
I took a quiz and got it right
PLEASE ANSWER ASAP!!!
A right triangle always has obtuse exterior angles at two verticies, True or False?
Answer:
false
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
what is the value of y when x = 43
PLS HELP
Answer: 126
Step-by-step explanation:
Because it seems that 3 × 43 =
2 × 43 = 86 + 43 = 126
The difference in y-values between the coordinates of two points on a line is called the
The difference in y-values between the coordinates of two points on a line is called the Rise.
The difference in y-values between the coordinates of two points on a line is called the rise or vertical rise. Or The rise is the vertical distance between the two points, which is the difference between their y-coordinates.
The difference in the x-values of two points on a line is called the run.
Slope of line is given by,
[tex]m=\dfrac{rise}{run}[/tex]
Hence,The difference in y-values between the coordinates of two points on a line is called the Rise.
For more details follow the link:
https://brainly.com/question/3605446
The product of two numbers is 16/3 if one of the number is 48/5 what is the other one?
Answer:
The other number is 5/9.
Step-by-step explanation:
16/3 = 48/5 * x
x = 5/9
1. Write an expression for 8 less than 2
times a number.
Answer:
8<2x
Step-by-step explanation:
Answer:
8<2x
Step-by-step explanation:
I hope this helped! :D
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
can someone help me
Select the correct answer.
What is the relationship between the two shapes?
LOOK AT THE IMAGE PLEASE
The answer is the A because they are similar and congruent
Answer:
A
Step-by-step explanation:
Eric went on a 11,150km trip. he travelled the firsy 7574 kilometre by train and the rest of the trip by car. if he took 12 days to complete the second part of his trip by car, what was the mean distance he drive each day ?
Answer:
298
Step-by-step explanation:
please make brainest thx
The laptop was marked down from $895 to $720
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
2(5x−2)− 2x -2 =34
Solve for x
What is the equation of the line that passes through the point (4, -8) and has a
slope of -12
a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim
Answer:
3.5 km
Step-by-step explanation:
its 10.5 divided by 3 to get this answer
plz give me brainliest i need it plz
Divide 3 divided by 2/5
7
7 1/5
7 1/2
8
Anthe answer is x times (6)7x10)-1(3)
Step-by-step explanation: