The most general proccedure for this type of problems is the following:
For a quadratic function of the following form [tex]f(x)=x^2+bx+c[/tex]; where b and c are real numbers.
1) Identify the value that accompanies the x, that is, the value "b"
2) Divide the value of b by 2 and then square it: [tex](\frac{b}{2})^2[/tex]
3) Add and subtract in the function the value of [tex](\frac{b}{2})^2[/tex]
4) Write the complete function of the form [tex]f(x) = (x+\frac{b}{2})^2-(\frac{b}{2} )^2+c[/tex]
For the function presented [tex]f(x)=x^2 +12x+6[/tex] the result is as follows:
1) The value of b is 12
2) [tex](\frac{12}{2} )^2=36[/tex]
3) [tex]f(x)=(x^2+12x+36)-36+6[/tex]
4)[tex]f(x)=(x+6)^2-36+6[/tex]
Finally the function is:
[tex]f(x)=(x + 6)^2-30[/tex]
The zero pair that must be added is 36 and -36
A girl skateboards with a kinetic energy of 2543.2 J. If the girl and skateboard have a total mass of 110kg , what is her speed ?
Answer:
6.8 Miles
Write at least 20 characters to explain it well.
A = 5x + 20 B = 9x - 92
Hello can you help me please?)
The "vertical line test" tells you the relation is not a function if any vertical line intersects the graph in 2 or more places.
15. not a function
The vertical line x=0 crosses the graph at y=-6 and at y=6.
16. a function
please help me find h(6)
To find H(6) for the function H(x) = 5(x - 6), substitute 6 for x, resulting in H(6) = 5(6 - 6) = 5(0) = 0.
The question asks for the evaluation of H(6) when H(x) = 5(x - 6). To find H(6), we simply substitute 6 in place of x in the function and calculate the result.
H(6) = 5(6 - 6)
Calculating the expression within the parentheses:
6 - 6 = 0
Now multiply by 5:
5 times 0 = 0
Therefore, H(6) = 0.
0.86 divide 5 -0.3 multiply 0.5
Answer:
The solution is 0.022.
Step-by-step explanation:
Given that,
[tex]\dfrac{0.86}{5}-0.3\times0.5[/tex]
We need to solve the equation
Using PEMDAS rule
On dividing 0.86 by 5
[tex]0.172-0.3\times0.5[/tex]
On multiply 0.3 from 0.5
[tex]0.172-0.15[/tex]
On subtract 0.15 from 0.172
[tex]0.022[/tex]
Hence, The solution is 0.022.
When 1480 is divided into 12equal parts, the remainder is 4. What is a correct way to write the quotient
I do t get number 4
4.2 feet = 50.4 inches
divide the total height by the height of each sheet: 50.4/0.6 = 84
it's 84 sheets of plywood.
What is the volume of a 14 in diameter pipe that’s 2156 long?
Answer:
Step-by-step explanation:
given that diameter of the pipe = 14 inches
radius = 7 inches
Length =2156 inches
Pipe is in the form of a cylinder
Volume of cylinder = pi r^2 h
where r = radius and h = l = 2156
We have to substitute the values of r and h.
Let us take pi as 22/7
= 22/7 (7)(7)(2156)
Cancel out 7 and multiply the remaining 22 ,7 and 2156
=332024 cubic inches
antonio graphs these questions and finds that the lines intersect at a single point (-5,0.25)
Which statement is tru about the values x=-5 and y=0.25?
Serious answers please!
Given equations : Equation A: 4y -3x =16 and
Equation B: -x-8y =3.
We are given a point (-5,0.25) plugging it in first equation
4(0.25) -3(-5) =16
1+15 =16.
16 =16 : Satisfies first equation.
We are given a point (-5,0.25) plugging it in second equation.
-(-5)-8(0.25) =3.
5 - 2 = 3.
3=3.
Therefore, they are the only values that make both eqautions true.3.5 hours:$10 1/2 hour:$1.25. What is the unit rate in dollars per hour for each company?
One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).
Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.
The unit rate is 2,86:2,50
You play a game where you score -6 points on the first turn and on each of the next 3 turns what is your score after those 4 turns
-24 if you score -6 each round
f(x)=2^x evaluate f(5)
Hey there!
To solve this, we will first replace x with 5 anytime we see it in the equation.
f(5) = 2^5
Now, we simplify 2^5.
The base is 2 and the exponent is 5 in this case.
The exponent is the number of times you multiply the base by itself. In oour case:
2 x 2 x 2 x 2 x 2 = 32
f(5) = 32
Hope this helps!
what are the prime numbers in between 30 and 40
They are 31 37 I think
There are only two, which is 31 and 37. Hope this helped!
is -5^2 equal to (-5)^2?
A. Yes, because they both equal -25
B. Yes, because they both equal -10
C. Yes, because they both equal 25
D. No, because -5^2 equals -25 and (-5)^2 equals 25
The correct answer is:
D. No, because [tex]\(-5^2\)[/tex] equals -25 and [tex]\((-5)^2\)[/tex] equals 25.
To evaluate the expression [tex]\( -5^2 \)[/tex] and [tex]\( (-5)^2 \)[/tex], we need to understand the order of operations.
According to the order of operations (PEMDAS/BODMAS), exponentiation takes precedence over negation.
So, [tex]\( -5^2 \)[/tex] means [tex]\( -(5^2) \)[/tex], which equals -25.
On the other hand, [tex]\( (-5)^2 \)[/tex] means [tex]\( (-5) \times (-5) \)[/tex], which equals 25.
Therefore, [tex]\( -5^2 \)[/tex] is not equal to [tex]\( (-5)^2 \)[/tex].
The correct answer is option D.
I spent 3/4 of my money and then I spent 1/5 of what was left.
What part of all my money do I have left?
(3/4)+(1/5(1/4)
As my thinking, this is the answer...
please click on the thanks button if this was helpful..
Have a great day!
Answer:
0.8
Step-by-step explanation:
3/4+1/5=0.8 or 8/10
Simplify the expression. |-5-8|
[tex]|-5-8|=|-13|=13[/tex]
the answer for this question is 13
The midpoint of AB is (3,7). The coordinate of one endpoint is A(5,1). Find the coordinate of endpoint B. Show or explain work.
The formula of a midpoint:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have
[tex]M(3,\ 7)\to x_M=3,\ y_M=7\\\\A(5,\ 1)\to x_A=3,\ y_A=7[/tex]
Substitute:
[tex]\dfrac{5+x_B}{2}=3\qquad|\cdot2\\\\5+x_B=6\qquad|-5\\\\x_B=1\\\\\dfrac{1+y_B}{2}=7\qquad|\cdot2\\\\1+y_B=14\qquad|-1\\\\y_B=13[/tex]
Answer: B(1, 13)what is 9(m+4)=7m ?? 50 points and brainliest for anyone who can answer im short on time and need this done oof
The answer you are looking for is M = -18.
To find this answer, you first distribute 9 into the parenthesis (m + 4). Once you've distributed, you should be left with 9m + 36 = 7m. Next, you subtract 9m from both sides. This will give you 36 = -2m. Finally, divide both sides by 2. Thus giving you a final answer of M = -18.
I hope this helps!
Answer:
The answer you are looking for is M = -18.
Step-by-step explanation:
How can you find the area of diameter
Line WY is dilated to create line W'Y' using point Q as the center of dilation. What is the scale factor? Given that QY' = 4.125, what is QY?
Answer:
1.2.75
2.1.5
Step-by-step explanation:
I just did it
The scale factor is determined by the ratio of the lengths of corresponding sides of two similar figures. To find QY, divide QY' by the scale factor.
Explanation:The scale factor is the ratio of the lengths of corresponding sides of two similar figures. In this case, line WY and line W'Y' are similar figures, and the scale factor is determined by the ratio of their lengths. The scale factor can be calculated by dividing the length of W'Y' by the length of WY. Given that QY' = 4.125, the scale factor can be determined by dividing QY' by QY. So, the scale factor is 4.125/QY. To solve for QY, divide QY' by the scale factor: QY = QY'/scale factor. Therefore, QY = 4.125/(4.125/QY) = (4.125*QY)/4.125 = QY.
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help me!!?! solving inequalities.
Answer:
You can watch 13 movies
Step-by-step explanation:
Cost of Carl's Cable Company:
Monthly service = $55For 1 paper view movie = $4Cost of Teleview Cable Company
Monthly service = $110Lets take that you watch [tex]x[/tex] paper view movies per month.
Then the cost of paper view movies = $[tex]4*x[/tex]
Now we can calculate the total cost of cable TV if you watch [tex]x[/tex] paper view movies per month.
Total cost = Monthly service + Paper view movie cost
=[tex]55+4x[/tex]
Now we can write an inequality for the Cost of Car's Cable Company cost being less than Teleview as follows;
[tex]55+4x≤110[/tex]
Now we can solve this inequality and find [tex]x[/tex] the number of movies you can watch so that the Cost of Carl's cable company will be less than teleview.
[tex]55+4x≤110[/tex]
=[tex]4x≤110-55[/tex]
=[tex]4x≤55[/tex]
=[tex]x≤13.75[/tex]
Therefore, if you watch less than 13.75 movies per month the cost of Carl's cable company cost will be less than Teleview.
So you can watch 13 movies (Number of movies has to be a whole number)
if prices increase at a monthly rate of 1.4% by what percentage do they increase in a year?
Prices increase by approximately 18.17% in a year if they rise at a monthly rate of 1.4%.
The given monthly rate of 1.4% can be represented as 1.014 in decimal form (1 + 0.014).
To calculate the total increase over a year, we need to compound this monthly rate for 12 months since there are 12 months in a year. We can use the formula for compound interest to find the overall increase:[tex]\[A = P(1 + r)^n\][/tex]
Where:
[tex]\(A\)[/tex] = the final amount after [tex]\(n\)[/tex] periods (in this case, a year),
[tex]\(P\)[/tex] = the initial price (100% or 1 in decimal form, as it's the starting point),
[tex]\(r\)[/tex] = the monthly rate in decimal form (1.4% or 0.014), and
[tex]\(n\)[/tex] = the number of periods (12 months).
Plugging in the values:
[tex]\[A = 1 \times (1 + 0.014)^{12}\][/tex]
[tex]\[A = 1 \times 1.1771\][/tex]
[tex]\[A \approx 1.1771\][/tex]
The final amount [tex](\(A\))[/tex] represents the price increase over the year. To express this as a percentage, we subtract 1 from [tex]\(A\)[/tex] and then multiply by 100:
[tex]\[Price \, Increase \, Percentage = (A - 1) \times 100\][/tex]
[tex]\[Price \, Increase \, Percentage = (1.1771 - 1) \times 100\][/tex]
[tex]\[Price \, Increase \, Percentage \approx 18.17\%\][/tex]
Therefore, prices increase by approximately 18.17% in a year if they rise at a monthly rate of 1.4%.
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Rafael has been given a list of 4 bands and asked to place a vote . His vote must have the names of his favorite, second favorite and third favorite bands from the list. How many different votes are possible
There will be twelve votes possible because 3*4=12
evaluate f(x) when x = -10
So, when x = -10.
If you notice, -10 is NOT in the domain (the domain is (-3,13))
so, there is no solution.
Answer: -24
Step-by-step explanation:
Step one :
For the first equation
Given that x=-10
F(x) =2x-4 if 3<x<10
x exists in this domain
Substituting x in the equation we have
F(-10)=2(-10)-4
F(-10)= -20-4
F(-10)=-24
Step two :
For the second equation
Given that x=-10
F(x) =x²-+3 if 10<=x<13
x does not exist in this domain
What is equal to 6 - -5
Write w-24 in verbal expression
"w - 24" said verbally is:
w minus twenty-four
hope this helps
~Rise Above the Ordinary
I believe that the correct answer is The difference of w and 24
Hope this helps!!!
The low temperature for 5 days was -5 degrees, -7 degrees, -2 degrees, 2 degrees, and - 3 degrees. What was the average temperature for those days
whats 20 divided by 3
Answer:
I did this on a Calc. but it is 6.666667
Step-by-step explanation:
Calculator
To divide 20 by 3, we use long division. The quotient is 6 remainder 2, or 6.67 as a decimal.
Explanation:To divide 20 by 3, we can use long division. The divisor, 3, goes into the first digit of the dividend, 2, once. We then multiply 3 by 1, which equals 3, and subtract that from 2. The remainder is 2. We bring down the next digit, 0, and the divisor goes into 20 six times. We then multiply 3 by 6, which equals 18, and subtract that from 20. The remainder is 2. Since there is no longer a digit to bring down, we have our final answer: 20 divided by 3 equals 6 remainder 2, or 6.67 as a decimal.
HELP PLEASE!!!!!!!! I GIVE 21 POINTS!!!!!!!!! AND BRAINLEAST <3
6. domain=age
range= number of pets
it is not a function because an x value repeats
7. domain=1,2,3,4,5
range= 50, 100, 150, 150, 200
it is a function because the lines don't connect
you are charged $16.05 after tax for a meal. Assume sales tax is 7%, what was the menu price for the meal?
[tex]1.07x=16.05[/tex]
[tex]16.05/1.07=15[/tex]
[tex]15=x[/tex]
The menu price for the meal is $15.