Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
What number is 48 out of 250%
Answer:
120
Step-by-step explanation:
reduce the fraction from
[tex]48 \times \frac{250}{100 } [/tex]
to
[tex]48 \times \frac{5}{2} [/tex]
then multiply and you get 24 × 5 which is 120
what is 30+30-20x2+600 correct eqals brainlist
Answer:
[tex]\huge\boxed{Answer\hookrightarrow}[/tex]
[tex]30 + 30 - 20 \times 2 + 600 \\ = 60 - 40 + 600 \\ = 20 + 600 \\ = 620[/tex]
⎇ The correct answer is 620.
# ꧁❣ RainbowSalt2²2² ࿐
Answer:
[tex]620[/tex]
Step-by-step explanation:
[tex]30+30−20 \times 2+600[/tex]
[tex]30+30−40+600[/tex]
[tex]60 - 40 + 600[/tex]
[tex]20 + 600[/tex]
[tex]620[/tex]
Hope it is helpful....find the value of (256)-3/4
help with steps pls
Answer:
Step-by-step explanation:
(256)-3/4
=256*-3/4
=-768/4
=-192
2a + 3b = 5
b= a - 5
Answer:
I'm not sure but I thing the answer is 10
Step-by-step explanation:
HELPPPPPP!!! pls pls
Answer:
12 inches
Step-by-step explanation:
hope this helps
Answer:
720
Step-by-step explanation:
20 yards = 720 inches
A recipe for fruit punch is 3 parts orange juice to 2 parts apple juice. Jim mixes 180 ml of orange juice with 120 ml of apple juice.
Has Jim made the fruit punch correctly? Explain your answer.
PLEASE HELP ASAP
NEED HELP RIGHT NOW PLZ!!!!!!!!!!!!Two candidates, Joe Smith and Maria Jones run for office in a local election. In all, 12,402 votes are cast and the ratio of votes for Joe Smith to Maria Jones was 4:5. How many votes did they each get?
Answer:
Joe 5512
Maria 6890
Step-by-step explanation:
Joe : Maria : total
4 5 9
We have a total of 12402
Divide this by 9
12402/9 =1378
Multiply each number by 1378
Joe : Maria : total
4*1378 5*1378 9*1378
5512 6890 12402
someone PLEASE HELP!!!
answer explanation = brainliest, 5 star rating
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is ___ times the volume of the original cube.
Answer:
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is _3.5³=42.875__ times the volume of the original cube.
Answer:
the volume of cube diladet
9375_______
Helppp
No links plzzz I’m way behind in classs
Answer:
Step-by-step explanation:
option c is correct
if u change the divide sign into multiplication then always do its reciprocal.
Answer:
[tex]\frac{3x^3z^5}{5y}[/tex] ( [tex]\frac{20y^3}{x^2z^6}[/tex])
Step-by-step explanation:
When given the following equation,
[tex]\frac{3x^3z^5}{5y}[/tex] ÷ [tex]\frac{x^2z^6}{20y^3}[/tex]
The first step is to convert the equation into a form that can be solved, in essence dividing any number by a fraction is the same as multiplying that number by the reciprocal of the fraction. The reciprocal of a fraction is when one switches the position of the numerator and denominator, the numerator is the number on top of the fraction, and the denominator is the number underneath the fraction.
[tex]\frac{3x^3z^5}{5y}[/tex] ÷ [tex]\frac{x^2z^6}{20y^3}[/tex]
[tex]\frac{3x^3z^5}{5y}[/tex] * [tex]\frac{20y^3}{x^2z^6}[/tex]
Simplify, reduce the numbers that are found in common between the numerator and denominator,
[tex]\frac{3x^3z^5}{5y}[/tex] * [tex]\frac{20y^3}{x^2z^6}[/tex]
[tex]\frac{3x^3z^5*20y^3}{5y*x^2z^6}\\\\=\frac{3x*4y^2}{z}\\\\=\frac{12y^2x}{z}[/tex]
5 pleaseeee help me out ill mark you brainlist
I'm on the verge of failing smh
Answer:
D) y = -4/3x + 5
Step-by-step explanation:
Can be checked with a calculator or by replacing the variables into the equation.
Does the following statement refer to a growth or fixed mindset? "I dont know how to do this yet."
Please help I’ll make you Brainiest (please no link people)
Ted left at 8:00 a.m to walk to the dog park. It took him 30 minutes to get there.
what time did ted get to the dog park?
Answer:
8:30 am
Step-by-step explanation:
Answer:
8:30 a.m
Step-by-step explanation:
8:00
+ 30
_____
8:30 a.m
Which linear function has a y-intercept of -5?
Answer: Upper right corner (northeast corner)
x-3y = 15
===================================================
Explanation:
The y intercept always occurs when x = 0.
If we plug x = 0 into 2x+y = -10 (northwest corner), then we solve for y to get...
2x+y = -10
2(0)+y = -10
0+y = -10
y = -10
We see that the y intercept here is -10, but we want -5 instead. So we can rule this out.
In the northeast corner, plugging x = 0 leads to,
x-3y = 15
0-3y = 15
-3y = 15
y = 15/(-3)
y = -5
We get the correct y intercept we're after. So we can stop here.
If you plugged x = 0 into the equation of the southwest corner, you'll get y = 5 which is fairly close but not quite what we want. The southeast corner equation leads to a y intercept of y = 5 as well.
Answer:
x - 3y = 15
Step-by-step explanation:
x - 3y = 15
-3y = -x + 15
y = 1/3x - 5
-5 is the y-intercept.
How many solutions does the system of equations below have?
y=3x+4
y+6x=3x
Answer:
x = -[tex]\frac{2}{3}[/tex]
y = 2
Step-by-step explanation:
The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations such that one of the variables shared between the two equations has the inverse coefficient of the same variable in the other equation. Therefore, when one adds the equations, the variable cancels. One can solve for the variable using inverse operations, and then backsolve to find the value of the first variable.
When given the following system:
y = 3x + 4
y + 6x = 3x
Use inverse operations so that both equations are solve for one variable,
y = 3x + 4
y = -3x
Add the systems so that one of the variables (x) cancels, this process is called the process of elimination;
y = 3x + 4
y = -3x
_________
2y = 4
Inverse operations,
2y = 4
y = 2
Now backsolve, find the value of (x) by substituting the value of (y) into the equation:
y = -3x
2 = -3x
x = -[tex]\frac{2}{3}[/tex]
Answer: No solution.
Step-by-step explanation:
HALP TELLL ME HOW!!!!!!!!!!!!
Answer:
V=82944
Step-by-step explanation:
FORMULA (Im guessing u just wanted answer but if u want formula there u go.
V= 1/3(a^2h)
Answer:
[tex]576 ~cubic ~centimeters[/tex]
Step-by-step explanation:
[tex]B=144cm^2[/tex]
[tex]h=12cm[/tex]
[tex]V=1/3~B*h[/tex]
[tex]=1/3(144)(12)[/tex]
[tex]=576 cm[/tex]
--------------------
hope it helps...
have a great day!!
If a and b are real numbers such that a > 0 and b < 0, then which of the following is equivalent
to
Jal - b?
|a|-|b| is equal to a+b both equal to -3.Option K is correct.
What is ascending order, and how does it work?It is the numerical order in which the smallest number appears first, followed by the next number, and finally, the largest number appears last.
If a > 0,b < 0
Let a =3 and b = -6
|a|-|b|= |3|-|-6|= - 3
Check all the options;
F)|a-b|=|3-(-6)| = 9
G)|a-b|=|3+(-6)|=|3-6|=|-3|=3
H)|3|+|-6|=|3+6| = 9
J)a-b=3-(-6)=3+6 =9
K)a+b=3+(-6) = -3
|a|-|b| is equal to a+b both equal to -3.
Hence option K is correct.
To learn more about the ascending order, refer to https://brainly.com/question/320500.
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Simplify the following polynomial and write the answer in standard form
Answer:
D
Step-by-step explanation:
We have to added up the like therms (the therms with the same literal parts)
x^2 + 2x^2 = 3x^2
3x - 4x = -x
2 + 1 = 3
3x^2 - x + 3
Answer:
D
Step-by-step explanation:
Edge 2022
Help help legit answers only
Answer:
x ≈ 46.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{OP}{NP}[/tex] = [tex]\frac{4}{5.5}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{5.5}[/tex] ) ≈ 46.7° ( to the nearest tenth )
1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probability experiment. In most applications, discrete random variables represent counted data. C. In most applications, continuous random variables represent measured data. D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Answer:
The true statements are :
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
Step-by-step explanation:
It is true statement that,
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
The false statement is -
D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Reason -
The mean value, or expected value, of a discrete random variable X is given by the following equation:
μ = E(x) = ∑ x p(x)
And
The variance of a discrete random variable is given by the following formula:
σ²=∑ (x−μ)² P(x)
And
The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :
σ = √σ²
Find the circumference of the given circle.
Use 3.14 as an approximation of Pi.
Answer:
Step-by-step explanation:
circumference=2*pie*r
=2*3.14*7
=43.96 in.
========================================================
Work Shown:
C = 2*pi*r
C = 2*3.14*7
C = 43.96 inches is the approximate circumference, aka the distance around the circle.
Use more decimal digits in pi to get a more accurate circumference.
Please help!!!!!!
if
Answer:
if what
Step-by-step explanation:
if we dare or if we must
Answer:
If what?
Step-by-step explanokation:
So, I don't understand what the question is here. Please elaborate.
Solve for x. Round to the nearest thousandth (0.001) if necessary.
11^x = 22
Answer:
x = 1.289
Step-by-step explanation:
11^x = 22
Take the log of both sides
xlog11 = log22
Divide both sides by log11
x = log22 / log11
Use calculator
x = 1.289
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
720
Step-by-step explanation:
This is a permutation of 10 choose 3
10 ! 10!
----- = ------------ = 10*9*8 = 720
(10-3)! 7!
Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans to weigh a rock 20 times and then calculate the average of the 20 measurements to estimate her rock's true weight. A second student plans to weigh a rock 5 times and calculate the average of the 5 measurements to estimate his rock's true weight. Suppose the students construct a 95% confidence interval for the true weight of their rocks. Whose interval do you expect to be more precise (narrower)
Answer:
The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level, s to the standard deviation and n to the sample size.
The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.
In this question:
One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
A mechanic began pouring a full can of motor oil into a funnel. The can of motor oil has a radius of 2.5 inches and a
height of 6 inches. The funnel has a radius of 3 inches and a height of 5.5 inches. If the hole on the bottom of the
funnel is plugged so that the funnel is not able to drain, what percentage of the oil would remain in the can after the
funnel is completely filled?
Here is a diagram and its corresponding equation. Find the solution to the equation.
4+17=23
Step-by-step explanation:
4x+17=23
4x=23-17
4x=6
x=6/4
Fast problem! Please help
Answer:
D. 122 degrees
Step-by-step explanation:
The angle next to the 133 degree angle is equal to 47 degrees because they are linear pairs. (Linear pairs will always add up to 180 degrees).
The angle below the 75 degree angle is equal to 75 degrees because they are vertical angles. (Vertical angles will always be equal to each other).
Then by using the Triangle Exterior Angle Theorem. Your missing angle is equal to 47 degrees + 75 degrees = 122 degrees.
Rommel has 3 kilograms of potatoes and 4 kilogramsof onions. He plans to use 1.5 kilograms of potatoes and 880 grams of onions fora recipe. How many total kilograms of the produce will not be used?
Answer:
4.62 KG
Step-by-step explanation:
1000 grams = 1kg
3kg = 3000g
4 kg = 4000g
1.5 = 1500g
left over potatoes = 3000 - 1500 = 1500 g or 1.5kg
left over onions = 4000 - 880 = 3120 = 3.12kg
total kilos not used = 1.5 + 3.12 = 4.62
Question 16 of 20
To the nearest hundredth, what is the circumference of a circle with a radius
of 7 units?
A. 43.98 units
B. 21.99 units
C. 35.75 units
D. 153.94 units
Answer:
43.98
Step-by-step explanation:
The circumference of a circle with a radius of 7 units is approximately 43.98 units, which corresponds to option A.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
Given that the radius of the circle is 7 units, we can substitute this value into the formula:
To find the circumference of a circle, we can use the formula C = 2πr, where C represents the circumference and r represents the radius.
C = 2π(7) = 14π
Use the approximation π ≈ 3.14:
C ≈ 14(3.14) = 43.96
Rounding this value to the nearest hundredth, we get approximately 43.98 units.
Therefore, the circumference of a circle with a radius of 7 units is approximately 43.98 units.
Learn more about the Circumference of the circle here:
brainly.com/question/19794723
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