Given parameters:
Quadratic expression:
x² - 6x + 7 = 0
Solve using quadratic formula;
x = [tex]\frac{-b +/- \sqrt{b^{2 } - 4ac} }{2a}[/tex]
From the equation;
a = 1, b = -6 and c = 7
Input the parameters and solve;
x = [tex]\frac{-(-6) +/- \sqrt{-6^{2 } + 4 x 1 x 7 } }{2 x 1}[/tex]
x = [tex]\frac{6 +/- \sqrt{36} +28 }{2}[/tex]
x = [tex]\frac{6 +/- \sqrt{64} }{2}[/tex]
x = [tex]\frac{6 + 8}{2 }[/tex] or [tex]\frac{6-8}{2}[/tex]
x = 7 or -1
Answer:x is 7 or -1
Step-by-step explanation: based on the quadratic expression
Matthew filled up his with gas for a total of $22.54. He noticed he purchased 9.2 gallons of gas. What is the price of 1 gallon of gas?
Answer:
$2.45 per gallon
Step-by-step explanation:
Divide to find the answer:
22.54 / 9.2 = 2.45
mia has 14 coins in her pocket that total $1.10. what are the coins in her pocket
Answer: Either 8 dimes and 6 nickles, or 4 quarters and 10 pennies. Both combinations add up to $1.10.
Have a nice day
The 14 coins can be:
- 8 dimes and 6 nickels
Or
- 10 pennies and 4 quarters
Given,
14 coins make up $1.10
We need to find what are the 14 coins.
What are the different types of coins that make up a dollar?We have,
100 pennies = $1
20 nickels = $1
10 dimes = $1
4 quarters = $1
Find the coins that are worth $1.10
We have
10 dimes = $1
So,
1 dime = $0.10
8 dimes = $0.80 _____(1)
20 nickels = $1
So,
1 nickels = $0.05
6 nickels = $0.30 _____(2)
100 pennies = $1
10 pennies = $0.1 _____(3)
4 quarters = $1 ______(4)
From (1) and (2)
8 dimes + 6 nickels = $0.80 + $0.30
14 coins = $1.10
From (3) and (4)
10 pennies + 4 quarters = $0.1 + $1
14 coins = $1.10
Thus the 14 coins can be:
- 8 dimes and 6 nickels
- 10 pennies and 4 quarters
Learn more about the types of coins that are worth $39.25 here:
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A person jogs 1/5 mile in 1/40 hour. The person's speed is (blank) miles per hour
Answer:
8 miles per hour
Step-by-step explanation:
1/5 x 40 = 8
What is your FAVORITE color? The best answer earns Brainliest. ANSWER IN COMMENTS, then if it is good, answer for real.
my favorite color is grey with green. the colors look immaculate together, brown is also one of my favorites. if im being honest, i think all colors are beautiful, but grey,green,and brown are some of my favorites. thank you for the points luv, god bless you hun.
Find the missing measure.
51°
x
Answer: It's 129°
Step-by-step explanation: Because we know x and 51 are supplementary angles (add up to 180), We can do x + 51 = 180, to figure out that x is equal to 129°.
Hope this helps :)
Please help :(
Solve for x
8x+12=4x−16
Answer:
X= -7
Step-by-step explanation:
When you get X to one side and simplify you get -7
8x + 12 = 4 x - 16
Subtract 12 from both sides
8x = 4x - 28
Subtract 4x from both sides
4x = -28
Divide both sides by 4 to get rid of the coefficient so we know what x alone is equal to, instead of what we have currently which shows what 4 x's equals
x = -28/4
x = -7
Understanding the answer1x = - 7
One x is equal to - 7 units.
Hope this helps,
Carla wants to know how many batches of birdseed she can make with 1/2 cup of sunflower seeds. She puts 1/6 cup of sunflower seeds in every batch. Carla divides 1/2 by 1/6 to find the answer. She says this is the same as multiplying 1/6 by 2; explain what Carla did wrong and show the correct solution.
Answer:
she was wrong because when you divide 1/2 by 1/6 its not the same as multiplying 1/6 by 2 but you do get the same answer its just the wrong equation
Step-by-step explanation:
9514 1404 393
Answer:
Carla inverted the numerator when she should have inverted the denominator before multiplying3Step-by-step explanation:
Any division problem is the same as a multiplication problem with the multiplier being the reciprocal of the denominator. So to divide 1/2 by 1/6, we could multiply 1/2 by (1/(1/6)) = 6/1. The result would be ...
[tex]\dfrac{1}{2}\div\dfrac{1}{6}=\dfrac{1}{2}\times\dfrac{6}{1}=\dfrac{6}{2}=\boxed{3}[/tex]
__
Carla's mistake was inverting 1/2 instead of 1/6 in her solution to the problem.
A manufacturer who is considering the implementation of a one-week training program for all new employees decides to test the program with the next 100 employees hired, and then compare their productivity rate to the productivity rate of new employees based on past records–a rate that is normally distributed with a mean of 60 and a standard deviation of 8. The new program needs to produce a minimum improvement of 4 to be considered worthwhile. What is the comparison distribution's standard deviation?
Answer:
0.8
Step-by-step explanation:
From the given information:
The population mean = 60
The standard deviation = 8
The sample size = 100
The sample distribution which follows a normal distribution is the set of values taken by this statistic on each sample from the same population.
The standard deviation of the comparison distribution's = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]
The standard deviation of the comparison distribution's = [tex]\dfrac{8}{\sqrt{100}}[/tex]
The standard deviation of the comparison distribution's = 8/10
The standard deviation of the comparison distribution's = 0.8
Simplify the following expression. Write the resulting polynomial in descending order.
–2x(1–3x) + (2x + 3)(3x – 2)
Answer: 4x² + x - 2
Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²
Now let's work on the second part:
Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals
12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:
4x² + x - 2.
For each of the following eight exercises, identify:
a. the population,
b. the sample,
c. the parameter,
d. the statistic,
e. the variable, and
f. the data.
Give examples where appropriate. 42.
A fitness center is interested in the mean amount of time a client exercises in the center each week. 43. Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.
Answer and explanation:
42. Statistic :A fitness center is interested in the mean amount of time a client exercises in the center each week
Statistic:the mean amount of time is an example of a statistic
Population:
43. Parameter :Ski resorts are interested in the mean age that children take their first ski and snowboard lessons. They need this information to plan their ski classes optimally.
Parameter: this is a number or measurable quantity that sets a condition, boundary or limit or scope such as the age in which children start snowboarding
3 digit number that is divisible by 3 and 5
The answer is 135
1+3+5=9(9 is a multiple of 3. To know if something is divisble by 3, you must add it and if it is a multipe of 3 it is divisble of 30
135 end with 5( If a number ends with 0 or 5 it is divible by 5)
Hope my explanation helps!
What angle would it be?
Answer:
Corresponding Angles
Step-by-step explanation:
Write the ratio: 10 to 2 as a fraction in lowest terms.
Answer:
[tex]\frac{5}{1}[/tex]
Step-by-step explanation:
10:2 would be written as [tex]\frac{10}{2}[/tex] in fraction form.
We can simplify this fraction to 5 to 1.
[tex]\frac{10}{2}=\frac{10/2}{2/2}=\frac{5}{1}[/tex]
Hope this helps.
I’m stressing someone please help now
Answer:
E
Step-by-step explanation:
Find the measure of each numbered angle. NEED HELP NOW
m<1=
m<2=
m<3=
Answer:
m∠1 = 58°
m∠2 = 58°
m∠3 = 72°
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180°. The vertical angles at Point Z are congruent and therefore their measures are equal.
I need help on this one please
Answer:
B
Step-by-step explanation:
Answer:
k' = (-3,0)
j' = (0,5)
l' = (-3,3)
Step-by-step explanation:
if you reflected over the x- axis
then the y points would would change to the opposite
k = (-3,0)
j = (0,-5)
l = (-3,-3)
Write the
slope-intercept form
of the equation of the
line described:
Perpendicular to y=x+4 and passes through the point (2,2)
Answer:
y=-1x+4
Step-by-step explanation:
3
1
1 point
Solve the equation below. Round your answer to the nearest hundredth (2 decimal places) if needed.
4
X/15 +15=19
Type your answer.
5
Answer: X= 570
Step-by-step explanation:
X
_____ = 19
15 + 15
Multiply both sides by 30
30X
_____ = 19 x 30
15 + 15
Simplify
x=570
What is 1/6 in a Percent
Answer:
16.67%
Step-by-step explanation:
1. Take 1 divided by six : 1/6 = 0.16666 . . .
2. Multiply by 100 to get a percent: 16.67%
Look at the picture
The answer is 41,832.
Answer:
41,832 is the answer for your question.
find the sum of like terms 7y+2y
Answer:
9y
Step-by-step explanation:
since the symbols are the same you just add and keep the symbol.
A cell phone plan costs $30 per month for unlimited calling plus $10 per GB of data used. If Alejandro can only afford for his cell phone bill to be $60 a month, how many GB’s can he use in a month, maximum? Your answer will be a whole number. *
1 point
Answer:
3 GB
Step-by-step explanation:
If the cell phone plan cost $30 per month
then subtracting this amount from $60 we have
$60 - $30 = $30
it 1 GB costs $10
therefore dividing this amount with $30
we have
$30/$10 = 3
Alejandro can only afford 3GB per month.
Find the difference of 6/7 minus 1/14
Answer:
11/14
Step-by-step explanation:
Answer:
11/14
Step-by-step explanation:
Convert to common denominator then subtract the numerator
Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
(2.1+5.9)+(−3.7)
−(2.1−5.9)+(−3.7)
(2.1+5.9+3.7)
−2.1−(5.9+3.7)
Answer:
The last one, −2.1−(5.9+3.7)
Step-by-step explanation:
−2.1+(−5.9)+(−3.7) = -2.1-5.9-3.7 = -11.7
the only expression that will come out as -11.7 is the last one
Answer:
The Answer is
-2.1 - (-5.9 + 3.7)
You can totally trust me!!!
Step-by-step explanation:
It's this because they both end up with the same answer and the other ones are like very wrong.
Please help!!!!!!!!! Anyone please
Answer:
A
Step-by-step explanation:
Carl wheezer and shaggy are doing the macarena
If Shaggy is using .26% of his power
How much is Carl using?
.74% ar least or else he would crumble
Answer: .74%
Step-by-step explanation: 1-0.26=0.74
For which pairs of functions is (fog)(x) = ?
Answer:
(fog)(x) = f(x)g(x) = x^2 * 1/x = x
The area of the top face of a cube is 16 square inches. Use 8 of these cubes to make a rectangular
prism. What is the volume of the rectangular prism? Hint: The shape of each face of a cube is a
square.
Answer:
The volume of the rectangular prism is 512 inches³
Step-by-step explanation:
Any cube has 6 square faces
Area of any square = L × L, where L is a length of each side
The volume of the cube = L × L × L
∵ The area of the top face of a cube = 16 inches²
→ Find which number multiply by itself = 16
∵ 16 = L × L
∵ 16 = 4 × 4
∴ L = 4 inches
Let us find the volume of 1 cube
∵ The volume of the cube = L × L × L
∵ L = 4 inches
∴ The volume of each cube = 4 × 4 × 4
∴ The volume of each cube = 64 inches³
∵ We will use 8 of this cube to make a rectangular prism
→ That means the volume of the rectangular prism is 8 times
the volume of 1 cube
∴ The volume of the prism = 8 × volume of 1 cube
∵ The volume of each cube = 64 inches³
∴ The volume of the prism = 8 × 64
∴ The volume of the prism = 512 inches³
The volume of the rectangular prism is 512 inches³
how many terms are in the expression shown? 2n+5-3p+4q
Answer:
3
Step-by-step explanation:
2n
3p
4q
Answer:
The one on top of me is wrong.
Step-by-step explanation:
There are 4 terms in this expression
Solve for n. 2 (4 + n) = 28
Answer:
n = 10
Step-by-step explanation:
=> 2(4 + n) = 28
=> 2(4) + 2(n) = 28
=> 8 + 2n = 28
=> 2n = 28 - 8
=> 2n = 20
=> n = 20/2
=> n = 10
Answer:
n = 10
Step-by-step explanation:
2(4 + n) = 28
Distribute:
(8 + 2n) = 28
Eliminate Parenthesis:
8 + 2n = 28
Cancel Out:
2n = 20
Divide:
n = 10