Step-by-step explanation:
A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it.
When do we use the AC Test?
Changing some of the values in a data set is called transforming the data.
A. True
B. False
Answer:
The answers is False
Step-by-step explanation:
verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7
Given:
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
To verify:
[tex]a(b-c)=ab-ac[/tex] for the given values.
Solution:
We have,
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
We need to verify [tex]a(b-c)=ab-ac[/tex].
Taking left hand side, we get
[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]
[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]
Taking LCM, we get
[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]
Taking right hand side, we get
[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]
[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]
[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]
Taking LCM, we get
[tex]ab-ac=\dfrac{-28-40}{35}[/tex]
[tex]ab-ac=\dfrac{-68}{35}[/tex]
Now,
[tex]LHS=RHS[/tex]
Hence proved.
guys, please help its graph-related. please i will dieeee
(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.
(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.
A is the point (-4, 2), and B is the point (2, -4). So the length of AB is
√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72
A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is
√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72
Then the dilation factor is
(2√72) / √72 = 2
As for dying, don't worry about it. It happens to everyone.
12X12= ___+144-88=___
For what values of x does 25^x = 5^x^2^-3?
The correct option is Second Option
#CarryOnLearning
❦︎Park Hana Moon
A locker combination has three nonzero digits, with no repeated digits. If the first digit is a 2, what is the probability the second digit is also even?
A. 1/2
B. 1/3
C. 3/7
D. 3/8
Instructions: Find the measure of the indicated angle to the nearest degree.
?
Answer:
? = 14
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 8/33
Taking the inverse tan of each side
tan ^-1 ( tan ?) = tan ^-1 ( 8/33)
? =13.62699
To the nearest degree
? = 14
Answer:
14
Step-by-step explanation:
We can solve for either x or y first, but we will choose to solve for x first. The side with length of 8 is opposite the angle x and the side with length of 33 is adjacent. Since we have opposite and adjacent sides, we will use the tangent ratio.
tan(x)= opposite/adjacent
tan(x)= 8/33
To find the measure of angle x, we will use the inverse tan function.
x=tan⁻¹(8/33)= 14
which of the following is equivalent to 18-
[tex] \sqrt{ - 25} [/tex]
a 5i
b 18-5i
c 18+5i
d 23
Answer:
[tex]18-\sqrt{-25}[/tex]
[tex]\sqrt{-25} =5i[/tex]
[tex]=18-5i[/tex]
OAmalOHopeO
(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn diagram.
Answer:
Step-by-step explanation:
n(M ∪ T) = n(M) + n(T) - n(M∩T)
= 150 + 144 - 33
= 294 - 33
= 261
You are an avid coin collector. You decide to start keeping better track of your coin collection:after 15 days you count and find out you have 155 coins. After 22 days,you have 218 coins. Write an equation in point-slope form
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Answer:
y - 155 = 9(x -15)
Step-by-step explanation:
The given points are ...
(days, coins) = (15, 155) and (22, 218)
The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1) = (218 -155)/(22 -15) = 63/7 = 9
The point-slope form is for a line with slope m through point (h, k) is ...
y -k = m(x -h)
Here, we have m=9 and (h, k) = (15, 155), so the equation can be written ...
y - 155 = 9(x -15)
If the product of two numbers is 1800 and its H.C.F. Is 30, find the L.C.M.
Answer:
LCM = 60
Step-by-step explanation:
Product = HCF × LCM
1800 = 30 × LCM
LCM = 1800/30
∴ LCM = 60
What is the surface area of the cylinder? Express the answer in terms of pi
d = 8 cm
h = 18 cm
(Question is in the image)
please I really need help
Answer:
c
Step-by-step explanation:
The period is 1 complete cycle of the wave, before repeating.
1 cycle is from - 6 to - 2 , then
period = 4 → c
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years with a standard deviation of 1.8 years.Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.(a) null hypothesis H0: μ = 2.5 yearsH0: μ = 3 years H0: μ > 3 yearsH0: μ ≥ 2.5 yearsH0: μ = 1.8 years(b) alternative hypothesis Ha: μ ≠ 2.5 yearsHa: μ > 3 years Ha: μ ≥ 1.8 yearsHa: μ ≤ 3 yearsHa: μ > 2.5 years
Answer:
The null hypothesis is [tex]H_0: \mu = 2.5[/tex].
The alternative hypothesis is [tex]H_1: \mu > 2.5[/tex]
Step-by-step explanation:
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.
At the null hypothesis, we test if the mean is of 2.5 years, that is:
[tex]H_0: \mu = 2.5[/tex]
A study was then done to see if the mean time has increased in the new century.
At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So
[tex]H_1: \mu > 2.5[/tex]
write a inequality phrase: you have to be at least 21 years of age
Answer:
[tex]a\geq 21[/tex]
Step-by-step explanation:
"At least" is inclusive, so you can be 21 years old.
Answer:
a≥ 21
Step-by-step explanation:
Let a = age
At least means greater than or equal to
a≥ 21
Evaluate function from their graph
This is because the point (0,5) is shown on the graph. This is the point on the y axis.
We can say that h(x) = 5 when x = 0.
Answer:
5
Step-by-step explanation:
The fellow who expalined it before before me expalined it correctly, so the answer should be 5.
A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee blend that normally sells for $13.50 per pound to create 40 pounds of a coffee that can sell for $10.37 per pound. How many pounds of each kind of coffee should they mix
Answer:
Rift =37.92 pounds
Terraza=2.08 pounds
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Answer:
Rift Valley: 37 31/33 ≈ 37.94 lbTerraza: 2 2/33 ≈ 2.06 lbStep-by-step explanation:
Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...
13.50t +10.20(40 -t) = 10.37(40)
3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408
t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza
Then the quantity of Rift Valley blend required is ...
40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley
PLS HELP 10 POINTS!!!
Identify the term whose coefficient is -12 in the expression:
98x – 12xy2 - 15xy2
Answer:
[tex] - 12xy {}^{2} [/tex]
Step-by-step explanation:
A coefficient is a rational number in front of multiple consecutive terms.
What is the value of x in the triangle below?
A. 18
B. 15
C. 6
D. 45
Answer:
it is b I already took it I just checked again
when I add a number to another number four times as big, the result is 30. find the first number
Answer:
x = 6
Step-by-step explanation:
Let x = first number
x+4x = 30
5x = 30
Divide by 5
5x/5 =30/5
x = 6
Let's assume the number is N
According to the question,
when I add a number to another number four times as big, the result is 30.
[tex]x+4x=30\\\\5x=30\\\\x=\dfrac{30}{5}\\\\x=\frak{6}[/tex]
Select all that apply.
The slope of the graph of a direct variation function is -3. Which of the following is true?
The equation is y = -3x.
The function is linear.
The equation of the function is y = -x .
The point (2, -6) is on the graph of the function.
a and b are correct
c is wrong
d can't be decided, because it can be true for one case, but not for others.
so only go for a and b
Answer:
B. The function is linear. (A and D COULD work)
Step-by-step explanation:
If the graph of a direct variation function has a slope of -3, then we know that the function is linear, and that m in the equation y = mx + b is -3. However, option A could be incorrect since we don't know if there is a y-intercept or not. C is wrong because of -3 being the slope, and D would only be true if A was also correct. So that leaves B. (If you know that there is more than one option, then A, B, and D are correct.)
If 4 over 7 ton of concrete covers 7 over 8 of a bridge, how many tons of concrete are required to cover the entire bridge?
Answer:
Your answer would be 32/49.
Step-by-step explanation:
4/7 tons = 7/8 x
4/7 / 7/8
32/49
The tons of concrete are required to cover the entire bridge is 32/49 tons.
What are fractions?A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.
How many tons is needed to cover the whole bridge?To determine this value, divide 4/7 by 7/8
4/7 ÷ 7/8
4/7 x 8/7 = 32/49 tons
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
Which inequality is true?
Answer:
[tex]\boxed{\sf Option \ C \ is \ correct .}[/tex]
Step-by-step explanation:
We need to tell which of the given inequality is true . The given inequalities are ,
[tex]\sf A)\pi + 8 <11\\\\\sf B) \dfrac{\pi}{8} > 2 \\\\\sf C) 3\pi > 9 \\\\\sf D) 2\pi - 1 < 5 [/tex]
Let's check the options one by one .
Option A :-
[tex]\sf\longrightarrow \pi + 8 < 11[/tex]
Subtract 8 to both sides ,
[tex]\sf\longrightarrow \pi < 11 - 8 [/tex]
Simplify ,
[tex]\sf\longrightarrow \pi < 3[/tex]
We know the approximate value of pi 3.14 . But the inequality says pi is less than 3 . Therefore the given inequality is incorrect .
______________________________________
Option B :-
[tex]\sf\longrightarrow \dfrac{\pi}{2} > 2 [/tex]
Multiply both sides by 2 ,
[tex]\sf\longrightarrow \pi > 4 [/tex]
We know the approximate value of pi 3.14 . But the inequality says pi is more than 4 . Therefore the given inequality is incorrect .
______________________________________
Option C :-
[tex]\sf\longrightarrow 3 \pi > 9[/tex]
Divide both sides by 3 ,
[tex]\sf\longrightarrow \pi < 9/3[/tex]
Simplify ,
[tex]\sf\longrightarrow \pi > 3 [/tex]
We know the approximate value of pi 3.14 .And the inequality says pi is more than 3 . Therefore the given inequality is correct .
Option C is correct .
The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers.
[ x + y = 90 ; x = 14 + 3y ]
Answer:
fourteen times six equals eighty-four, eighty-four plus six equals 90
Find the measure of FG.
Answer:
Choice D, x = 9
Answer:
Step-by-step explanation:
EG = EF + FG = 9 + x - 3 = 6 + x
AG = AH + HG = 6 +x - 2 = 4 + x
Intersecting secant theorem,
FG * EG = HG * AG
(x - 3)*(6 +x) = (x -2)(x + 4)
Use Foil method
6x + x² - 18 - 3x = x² + 4x - 2x - 8
x² + 3x - 18 = x² + 2x - 8
x² - x² + 3x - 2x = -8 + 18
x = 10
What is the surface area of a sphere with a diameter of 14 cm?
Question 6 options:
175.84 cm^2
351.68 cm^2
615.44 cm^2
2461.76 cm^2
Show your work:
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Answer:
(c) 615.44 cm^2
Step-by-step explanation:
The surface area of a sphere is given by ...
A = 4πr² . . . . where r is the radius, half the diameter
A = 4(3.14)(7 cm)² = 196(3.14) cm² = 615.44 cm²
Please help I don’t understand how to solve this !
Answer:
x = 30
Step-by-step explanation:
x + 2x + 3x = 180
6x = 180
6 6
x = 30
two similar triangular prisms have surface areas of 64cm2 and 144cm2(the 2 means square) respectively. a.find the ratio of their heights. b. The height of the smaller prism is 49cm,find the height of the larger prism.
Answer:
a.The ratio of the heights is the square roots of the both of them √64 and √144
which is 8 and 12
b.To find the height of the larger prism you use the ratio of the heights,in a ratio and proportion
8 - 49
12-x
8x/8=588/8
x=73.5
I hope this helps
PLEASE HELP WILL GIVE BRAINSLIST
Answer: 3. 55° 2. 225° 1. 125°
Step-by-step explanation: don't want brainliest
