Answer:
x= plus or minus square root of 19 -4
Step-by-step explanation:
x^2+8x ___=3
take half of your b term (8) and then multiply by two and add or subtract it to both sides
x^2+8x+16=3+16
then combine like terms
x^2+8x+16=19
then factor your quadratic equation
(x+4)^2=19
now solve for x
take the square root of (x+4)^2 to get rid of the ^2
you then also have to square the 19 because what you do to one side you have to do to the other
(x+4)= square root of 19
subtract 4 from both sides
x= plus or minus square root of 19 -4
Answer:
Step-by-step explanation:
Divide the coefficient of x by 2
8/2 = 4. Now find the square of 4 = 4² = 16
Add 16 to both sides of the equation
x² + 8x + 16 = 3 + 16
x² + 2* x * 4 + 4² = 19
{Compare with a² + 2ab + b² = (a + b)² }
(x + 4)² = 19
Both sides take square root,
[tex]\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}[/tex]
x + 4 = ± 4.36
x + 4 = 4.36 ; x + 4 = -4.36
x = 4.36 -4 ; x = -4.36 - 4
x = 0.36 ; x = - 8.36
Just to review, probability can be written as....
Answer:
Percentage
Step-by-step explanation:
The higher the probability number or percentage of an event, the more likely is it that the event will occur. If an event has only one possible outcome, the probability for this outcome is always 1 (or 100 percent).
4y - 18 = 20
Y=
PLEASE HELP!!!!!!!
Answer:
y = 9.5 or 19/2
Step-by-step explanation:
4y - 18 = 20
Add 18 to both sides.
4y = 38
Divide by 4.
y = 9.5 or 19/2
Answer:
34
Step-by-step explanation:
4y-18=20
+18 +18
________
4y=38
/4
________
9.5
I have 40 dollars. If the tickers are 3 for $5 how many tickets do I have?
Answer:
You can get 24 tickets
Step-by-step explanation: You do the math
Pentagon PQRST is shown on the coordinate grid below . Given that the pentagon was rotated 180 ° clockwise and labeled P'Q'R'ST , what are the coordinates of T ?
Answer:
Step-by-step explanation:
Given is a pentagon. It has 5 sides
A balloon with a small leak loses 0.5% of its volume each day. If it originally contained 40 liters of gas, what is the volume of the gas after one week?
AO 40 - 406.005)
B.O 406.05)'
C.O 400.95)
DO 406.995)'
I have alot of questions and I need help with a practice quiz
ok imma help u just it should not be chem
c)
(-6, 3)
d) (-3,0)
cion...
What will be the new position of the given point (9,-4) after reflection across
the line x = 1?
ractice
a)
(7,4)
b) (7,-4)
c)
(-7,-4)
d) (-7,4)
Tr...
aze
I
Transform...
MazeNo Key
Answer:
c)
(-6, 3)
d) (-3,0)
cion...
What will be the new position of the given point (9,-4) after reflection across
the line x = 1?
ractice
a)
(7,4)
b) (7,-4)
c)
(-7,-4)
d) (-7,4)
24. Two trapezoids have areas of 432 cm and 48 cm. Find their ratio of similarity
A 3:1
B. 9:1
C. 1 3
D 1.9
Answer:
9:1
Step-by-step explanation:
432/48=9
9:1
A rectangular blanket is 4 times as long as it is wide. Its width is 8 yards. What is the area of the blanket?
Answer:
The area is 256
Step-by-step explanation:
Find the slope, or rate of change, from the following tables:
Please help me
What is the formula for the volume of a cone? (Use the word Pi instead of the symbol)
Answer:
(1/3) Pi r^2 h
Step-by-step explanation:
The volume of a cone (or pyramid, for that matter) is 1/3 the area of the base times the height.
Cones have bases that are circles, so their areas are Pi r^2, usually written [tex]\pi r^2[/tex], Pi times the radius squared.
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Harrison started a part-time job in order to pay for his gas to get to school and work. His job pays $9.50 per hour. His school has a rule that states that students cannot work more than 15 hours per week. He needs to earn at least $28.50 per week to pay for his gas. A. Write a function f(h) describing how much he will earn as a function of h hours worked. B. Based on the parameters described in the problem, what are the domain and range of the function rounded to the hundredth
f (15) = $142.50
i hope this help you!
We know that:
Harrison gets $9.50 per hour of work.
He can work a maximum of 15 hours per week.
He needs to earn a minimum of $28.50 per week.
A) We want a function f(h) that tells how much he wins in a week if he works h hours.
So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:
f(h) = $9.50×h
B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).
We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:
$9.50×h = $28.50
h = ($28.50)/($9.50) = 3
Then we can conclude that the domain is:
D = [3, 15]
To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:
f(3) = $28.50
f(15) = $142.50
Then the range is:
R = [$28.50, $142.50]
If you want to learn more, you can read:
https://brainly.com/question/9446123
help me please and thanks!!!!
Answer:
The answer is B.
Step-by-step explanation:
so from R to S is 180 degrees and if R to P is 130 degrees then you need to subtract 180 from 130 which gives you 50.
Evalue without using a calculator
Answer:
square root of 2
Step-by-step explanation:
A café has a monthly fixed cost of $4700, and a typical customer order costs the café $2. Therefore, the cost to serve x customers in a month is given by x = 4,700 + 2x. The typical order costs $10. So revenue is y = 10x. Find the number of customers that would need to come in the café for the company to break even. (Intersection point)
Answer:
The number of customers that would need to come in the café for the company to break even is 470.
Step-by-step explanation:
Given
Revenue = y = 10x ……………….…. (1)
Cost = x = 4,700 + 2x ……………… (2)
Since the company will break even when Revenue is equal to Cost, we therefore equate equations (1) and (2) and then solve for x as follows:
10x = 4,700 + 2x
10x - 2x = 4,700
x = 4,700 / 10
x = 470
Therefore, the number of customers that would need to come in the café for the company to break even is 470.
Tome walks 1/3 of a mile in 1/4 of an hour. At this rate, how many miles will Tom walk in 1 hour?
Answer:
2 miles i think
Answer:
In 1 hour, he'll walk 4/3 miles
Step-by-step explanation:
Ratios:
[tex]\frac{1/3}{1/4} =\frac{x}{1} \\\\\frac{1}{4} x=\frac{1}{3} \\\\x=\frac{4}{3}[/tex]
find quotient and reminder of 4x³-12x²+15x-5÷2x-1
Answer:
The quotient is 2x² - 5x + 5, while the remainder is 0
Step-by-step explanation:
Given polynomial function;
4x³-12x²+15x-5 and a factor of 2x - 1
The quotient and remainder of the polynomial is calculated using the long division method;
2x² - 5x + 5
------------------------
2x - 1 √ 4x³-12x²+15x-5
- (4x³ - 2x²)
----------------------------
-10x² + 15x - 5
- ( -10x² + 5x)
--------------------------------
10x - 5
- (10x - 5)
-----------------------------------------
0
Therefore, the quotient is 2x² - 5x + 5, while the remainder is 0.
For a sample size of 120 and a sample proportion of 0.4, what is the standard
error of the sampling distribution? Round your answer to three decimal
places.
A. 0.053
B. 0.064
C. 0.045
D. 0.039
Answer:
c I think not sure juinji
The standard error of the sampling distribution is 0.014. The closest option to 0.014 among the answer choices is C. 0.045, but it is not a match. None of the provided answer choices matches the calculated value exactly.
To find the standard error of the sampling distribution, we can use the formula:
[tex]Standard Error = \sqrt{[(sample proportion * (1 - sample proportion)) / sample size]}[/tex]
Given a sample size of 120 and a sample proportion of 0.4, we can calculate the standard error as follows:
[tex]Standard Error = \sqrt{[(0.4 * (1 - 0.4)) / 120]}\\Standard Error = \sqrt{[(0.4 * 0.6) / 120]}\\Standard Error = \sqrt{[0.024 / 120]}\\Standard Error = \sqrt{0.0002}\\Standard Error \approx 0.014[/tex]
Rounded to three decimal places, the standard error is approximately 0.014.
To know more about sampling distribution:
https://brainly.com/question/28990704
#SPJ2
A rocket travels according to the equation h = - 4.9(t - 6)^2 + 182, How high was the rocket above the ground when it was fired?
Which statement describes the expression below? 1 + 6 ÷ 2 × 3 Multiply the quotient of 6 and 2 by 3, then add 1. Add 1 and 6, then divide by 2 and multiply by 3. Divide 6 by the product of 2 and 3, then add 1. Add 3 to half of 6 multiplied by 1.
Answer:
Add 1 and 6, then divide by 2 and multiply by 3.
Step-by-step explanation:
22. Dante rides his bicycle due west at 10 miles per hour. Annie rides her bicycle due north
at 12.5 miles per hour. If they both leave Annie's house at the same time, approximately
how far apart, in miles, are they after 4 hours?
A
16
B.
23
C. 64
D. 90
Mhanifa can you please help me? This is due soon. I will mark brainliest!!
Answer:
6) 197) 22Step-by-step explanation:
Diagonals of a rectangle are congruent#6JL = KM
3x + 4 = 4x - 14x - 3x = 4 + 1x = 5JL = 3*5 + 4 = 19
#7JL = KM
2x - 6 = 3/2x + 12x - 3/2x = 1 + 61/2x = 7x = 14JL = 2*14 - 6 = 22
Answer:
JL = KM
3x + 4 = 4x - 1
4x - 3x = 4+1
X= 5
JL = 3*5 + 4 = 19
JL = KM
2x - 6 = 3/2x + 1
2x - 3/2x = 1 + 6
1/2x = 7
X= 14
JL = 2*14 - 6 = 22
What is the volume of a rectangular prism that has a length of 8 square inches, a width of 6 3/4 square inches, and a height of 5 1/4 square inches?
Given:
Let us consider,
Length of a rectangular prism = 8 inches
Width = [tex]6\dfrac{3}{4}[/tex] inches
Height = [tex]5\dfrac{1}{4}[/tex] inches
To find:
The volume of the rectangular prism.
Solution:
The volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting the given values, we get
[tex]V=8\times 6\dfrac{3}{4}\times 5\dfrac{1}{4}[/tex]
[tex]V=8\times \dfrac{27}{4}\times \dfrac{21}{4}[/tex]
[tex]V=\dfrac{567}{2}[/tex]
[tex]V=283.5[/tex]
Therefore, the volume of the rectangular prism is 283.5 cubic inches.
15 = 5(x +2 )
x=
ill mark brainliest and 20 points
Answer:
x=1
Step-by-step explanation:
15 = 5(x +2 )
15/5= 3
3-2= 1
x=1
Factor each expression completely
4x² + 6x – 40
Show your work!!!
NO LINKS PLS
Answer:
4x²+6x-40
2(2x²+3x-20) factor out 2
2(2x²+8x-5x-20) split the three into a difference
2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis
2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis
2(x+4)(2x-5) factor
= 2(x+4)(2x-5)
Step-by-step explanation:
i hope this helps :)
Mrs. Smith wants to cover her garden with dirt. She measured half the garden's length at 6 feet long. How many square feet will Mrs. Smith need to cover?
Answer:
Missing information
Step-by-step explanation:
We aren't told the width or the shape of the garden so its not possible for me to answer this, however I can tell you the length of the garden.
6ft = 1/2x
x = 12ft
The garden is 12ft long, if you would like further help with this question please provide me with all the information to this problem.
Please mark brainliest if this helped!
Please mark brainliest if this helped!
Find the length of each arc. Round your answer to the nearest tenth
Use the function below to find F(1).
F(t) = 2•1/2^3t
Please Help
Answer:
C. 1/4
Step-by-step explanation:
2 * 1/2^3t
substitute 1 for t so it would be:
2 * 1/2^3 = 2 * 1/8 = 2/8 = 1/4
The compound interest on a sum of money in 2 yes and 4 yrs are 5460 and 12060.6 then find principle
Answer:
2471.81
Step-by-step explanation:
Let I be the interest, r the annual rate and P the principal. Then:
I = P(r)^2 = 5460
I = P(r)^4 = 12060.6
so r^2 = P(r)^4 / P(r)^2 = 12060.6/5460
r^2 = 2.2089
r = 1.486
So P(r)^2 = P* 2.2089 = 5460
P = 5460 / 2.2089 = 2471.81.
What happens to the mean of the data set shown below if the number 20 is added to the data set?
Answer: The data set is missing therefore I will give you a more general answer
answer : The mean value will shift ( to the right ) by 20
Step-by-step explanation:
when a number is added to each data value in a data set the mean value will shift ( to the right ) likewise the mode, and Median by the same amount that was added to the data set . but the range and IQR will remain unchanged
Answer:
The answer is C
Step-by-step explanation: