Answer:
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Step-by-step explanation:
Example: If we have q(x) = x^2 and its graph, moving the vertex of this graph 24 units to the right results in r(x) = (x - 24)^2.
The correct pair of functions is the third one: h(x)=(x−24)^2 and g(x)=x2
Note: the fourth pair is incorrect, because the " + " sign moves the graph of x^2 24 units to the left.
Answer:
C)h(x)=(x−24)2 and g(x)=x2
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 510 tons. Train A is heavier than Train B. The difference of their weights is 484 tons. What is the weight of each train?
Answer:
Train A is 497 tons and Train B is 13 tons
Step-by-step explanation:
Let a represent the weight of Train A, and b represent the weight of Train B
Set up a system of equations:
a + b = 510
a - b = 484
Solve by elimination by multiplying the top equation by -1
-a - b = -510
a - b = 484
Add these together, and solve for b:
-2b = -26
b = 13
Find the weight of Train A by plugging in 13 as b into one of the equations, and solving for a
a + b = 510
a + 13 = 510
a = 497
So, Train A is 497 tons and Train B is 13 tons
So on earth there are about 10 000 000 000 000 000 ants and 6 000 000 000 humans.the ratio of humans to ants is approe equal to
Answer:
10,000,000,:6
Step-by-step explanation:
I think
Answer:
10^7:6
Step-by-step explanation:
[tex]10000000 = {10}^{7} [/tex]
Solve the following equations by using the Quadratic formula and answer the subsequent questions:
x^2 - 6x + 9 = 0
a. Are the roots equal or unequal?
b. Are the roots rational or irrational?
c. Are the roots real or non-real?
(Please explain how you got the answers)
Answer:
Step-by-step explanation:
Note that x^2 - 6x + 9 = 0 can be rewritten as the square of a binomial:
(x - 3)^2
and the roots are found by setting this equal to zero and solving for x:
(x - 3)^2 = 0, or x - 3 = ±0, or x = 3 and x = 3
a) there are two equal roots: {3, 3}
b) the roots {3, 3} are rational
c) the roots {3, 3) are real
If you want to use the quadratic formula, proceed as follows:
1. Identify the coefficients of the quadratic: {1, -6, 9}
2. Find the discriminant b^2 - 4ac: It is (-6)^2 - 4(1)(9) = 36 = 36 = 0
As a general rule, if the discriminant is zero, the quadratic has two equal, real roots. These roots are rational: 3 can be rewritten as 3/1, which is a ratio.
Find the area of the shaded polygons
Answer:
40 Square Units
Step-by-step explanation:
Easy way to find area: Diagonal 1 * Diagonal 2 divide by 2 = your answer
Diagonal 1 (AC) = 5 + 5 = 10
Diagonal 2 (BD) = 4 + 4 = 8
10 + 8 = 80, 80/2 = 40
Answer: 40 square units
2 Last year the girls' basketball team had 8 fifth-grade students and 7 sixth-grade students. What was the ratio of sixth- grade students to fifth-grade students on the team? A. 8:15 B. 8:7 C. 7:8 D. 15:8
Answer:
Step-by-step explanation:
C)7:8 not sure
who want brainlist???
Answer:
its the 3rd one
Step-by-step explanation:
because x=4 and y=28 so 4 times 7 =28
PLEASE HELP ME I NEED ANSWERS FAST!!! No links plz
Answer:
$220,000 I am pretty sure this is correct!
What is the solution to the system of equations shown on the graph?
Which rule describes the translation below? On a coordinate plane, triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime.
Answer:
(x, y) ⇒ (x - 5, y - 3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).
Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:
(x, y) ⇒ (x - 5, y - 3)
Guided Practice
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
y – 7y3 + 15y8
A.
15y8 – 7y3 + y; third degree trinomial
B.
y – 7y3 + 15y8; eighth degree trinomial
C.
15y8 – 7y3 + y; eighth degree trinomial
Answer: y( 1 - 7y2 + 15y7)
Step-by-step explanation:Just put () around the 1 threw 15 and put the y out of the ()
Answer:
C.
15y8 – 7y3 + y; eighth degree trinomial
Step-by-step explanation:
To write the polynomial in standard from, the degrees of the monomials need to decrease from left to right. Reorder the monomials to get 15y8 – 7y3 + y.
The polynomial has three terms, which makes it a trinomial. The monomial with the greatest exponent is 15y8, an eighth degree term. This makes the expression an eighth degree trinomial.
Two Way Table 1
SUV Sedan Totals
Male
21
39
60
45
180
Female
Total 156
84
The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers.
Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?
es )
A)
0.25
B)
0.55
C)
0.75
D)
0.87
Answer: 0.75
Step-by-step explanation: took the same question
Answer:
0.75
Step-by-step explanation:
i need help with this
Answer:
Its 40.9!
Step-by-step explanation:
The opposite sides of angles are most of the time congruent, or the same!
Hope this helps and don't forget to follow!
57.4g of sugar is needed to make 7 cakes. How much sugar is needed for 9 cakes?
Answer:
73.8 g
Step-by-step explanation:
57.4/7 = 8.2 per cake
8.2 x 9 = 73.8 g
Answer:
I'm pretty sure the answer would be 73.8g
Step-by-step explanation:
There are 50 mobile homes in a trailer park. Each mobile home uses 250 gallons of water each day. Write and solve an equation showing how much water the trailer park uses in one day.
Answer: 12500 gallons
Step-by-step explanation:
Number of mobile homes in a trailer park = 50
Gallons of water used by each mobile home = 250 gallons
The amount of water used by the trailer park uses in one day will be:
= Number of mobile homes in the trailer park × Gallons of water used by each mobile home
= 50 × 250
= 12500 gallons
PLEASE HELP ME ON THIS.
9514 1404 393
Answer:
D) 8
Step-by-step explanation:
The similarity statement tells us ...
RS/ST = BC/CD
(11x -4)/70 = 60/50
11x -4 = 70(60/50) = 84 . . . multiply by 70
11x = 88 . . . . . . . . . . . . . . .add 4
x = 8 . . . . . . . . . . . . . . . divide by 11
Can someone please help me with math.
Answer:
neither positive nor negative
Step-by-step explanation:
In order to identify a type of correlation the points have to form where we can draw a line through the points and most of the points will be near that line drawn.
Because most of the points graphed are scattered we cannot identify if it has a positive or negative correlation
I Honestly Don't Know The First Step To Solving This
Answer:
I can pop it into the calculator for you if you'd like.
Step-by-step explanation:
I can edit my answer to give the answer to you.
if MN=NQ and MQ=QR=RP, calculate for x
Answer:
C. 18°Step-by-step explanation:
Refer to attached diagramGiven MN = NQ MQ = QR = RPNMR = 3xQMR = xTo findValue of xSolutionMN = NQ ⇒ ∠MRN = ∠QMN = 3x+x = 4xMQ = QR ⇒ ∠MRQ = ∠QMR = xRQP is exterior angle of ΔMQR ⇒
∠RQP = x + x = 2xQR = RP ⇒
∠RPQ = ∠RQP = 2x∠QRN is exterior angle of ΔQRP ⇒
∠QRN = 2x + 2x = 4x∠MRN = ∠QRN - ∠QRM = 4x - x = 3x∠MRN = ∠NMR = 3x ⇒
NR = MQNR = MQ ⇒
∠NQR = ∠QRN = 4xWe now have a straight angle MQP:
∠MQP = ∠MQN + ∠RQN + ∠RQP180° = 4x + 4x + 2x10x = 180°x = 18°Correct choice is C
hunter finishes 45% of his homework problems in 36 minutes. If he has 11 problems left to complete, how many has he already finished?
help plz/math will give brainlest
Answer:
area of parallelogram = 21
area of trapezoid = 32
Step-by-step explanation:
Hello There!
The first figure shown is a parallelogram and the following dimensions are given
base = 7mm
height = 3mm
The area of a parallelogram can simply be found by multiplying the base by the height
so Area = 7 * 3
7 * 3 =21 so the area of the parallelogram is 21 square millimeters
The second figure given is a trapezoid and the following dimensions are given
height = 4m
base 1 = 5m
base 2 = 11m
To find the area of a trapezoid we use this formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b are bases and h = height
given the dimensions all we have to do is plug in the values into the formula
[tex]A=\frac{5+11}{2} 4\\5+11=16\\\frac{16}{2} =8\\8*4=32\\A=32[/tex]
so we can conclude that the area of the trapezoid is 32 square meters
Suppose your friend says he can solve 3x = 15
by using the Multiplication Property of Equality. Is he correct?
Answer:
He is incorrect
Step-by-step explanation:
Although he can solve it, he would use Division Property or Equality not multiplication
hope this helps ;)
3 5 of the first group are right-handed. 80% of the second group are right-handed. What fraction of the class is right-handed?
Answer:
7/10
Step-by-step explanation:
To make things simple, let's turn 80% into a fraction, 8/10. To get a common denominator let's turn 8/10 into 4/5. Since they are both of equal size, the first group would have 2/5 left-handed people and the second 1/5 left-handed people. Let's imagine that each group has 5 people in it. There would be 10 people in total. There is 1 person for each fifth so we can add now. 4 + 3 = 7 right handed people. To check, 2 + 1 = 3 and 3 + 7 = 10. so 7/10 of the class is right-handed.
f(x) = x^2 + 16x + 60
Find the vertex
Answer:y
=
(
x
−
8
)
2
−
4
Step-by-step explanation:maybe
PLEASE HELP IF POSSIBLE :)
Answer:
telephone pole height = 480ft
Step-by-step explanation:
Assume that the shadow that an object casts is proportional to the height of the object. Then one can form the ratio:
[tex](shadow : height)[/tex]
Making the assumption that this ratio is proportional for all objects in this given scenario, then one can say that the ratio of the height of the man and his shadow is equal to the ratio of the height of the telephone pole and its shadow:
(man's height) : (man's shadow) = (pole's height) : ( pole's shadow)
Substitute:
6ft : 4ft 6in = (telephone pole hiehgt) : 30ft
Convert to inches (since it is all in the same unit now, one's doesn't need to write the unit anymore):
72 : 54 = (telephone pole height) : 360
Simplify:
4 : 3 = (telephone pole height) : 360
Now solve, use cross products:
3(telephone pole height) = 1440
Inverse operations,
3(telephone pole height) = 1440
/3 /3
telephone pole height = 480
. A standard die is rolled twice, then a card is
chosen at random from a standard deck.
How many outcomes are possible?
Answer:
64??? take it with a grain of salt but i think its 64
Step-by-step explanation:
There are 6 sides to a die and if its rolled twice thats 12 possible answers and then a standard deck has 52 cards so thats 12+52=64
Answer:
100
Step-by-step explanation:
Peter has 7 oranges sam as 5 and mary has 3 . What is the ratio of the oranges of peter mary and sam
Answer:
7:3:5
Peter:Mary:Sam
what function is equivalent to f(x)=-4(x+7) -6
Answer:
Step-by-step explanation:
If you graphed this system, what would the solution be?
Answer:
(6, 2 )
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{2}{3}[/tex] x - 2 → (1)
y = 2 → (2)
Substitute y = [tex]\frac{2}{3}[/tex] x - 2 into (2)
[tex]\frac{2}{3}[/tex] x - 2 = 2 ( add 2 to both sides )
[tex]\frac{2}{3}[/tex] x = 4 ( multiply both sides by 3 )
2x = 12 ( divide both sides by 2 )
x = 6
The solution is (6, 2 )
Please help me on this question!! If you get the question correct you will get brainleist!!! Tyyy ^^
Answer:
Area
Step-by-step explanation:
Please show work. Thanks