The answer is translation 2 units down(B)
Answer:
B)translation 2 units down
Step-by-step explanation:
There are several types of transformations
i) reflection ii) shifting horizontally iii) shifting vertically.
Here the graph y =f(x) = 3x+8 is transformed into Y =g(x) = 3x+6
Rewrite as y-8 = 3x and Y-6 =3x
We find comparing the two equations that there is no change in x. But y changed to Y
y-8=Y-6 or Y = y-2
Hence there is no horozontal transformation but vertically new Y = old y-2
i.e. the translation is 2 units vertically down.
Option B is right.
Which of the following is not a solution of 10 > x – 7y? A. (–3, 10) B. (0, 7) C. (12, 0) D. (2, 10)
Answer:
C. (12, 0)
Step-by-step explanation:
Try the choices:
A. 10 > -3 -7·10 . . . true
B. 10 > 0 -7·7 . . . . true
C. 10 > 12 -7·0 . . . false . . . this is your answer
D. 10 > 2 -7·10 . . . true
The option that is not a solution of the inequality 10 > x - 7y is C. (12, 0), as substituting these values into the inequality gives 10 > 12, which is false.
To find out which option is not a solution of the inequality 10 > x
- 7y, we need to substitute the values of x and y from each given pair into the inequality and check if it holds true.
The only option that does not satisfy the inequality is C. (12, 0), because 10 is not greater than 12.
Jimmy ran with the speed of m miles per hour. How far did he run in t minutes?
Answer:
Jimmy run in t minute = [tex]\frac{m*t}{60}[/tex] miles.
Step-by-step explanation:
Given : Jimmy ran with the speed of m miles per hour.
To find : How far did he run in t minutes.
Solution : We have given
Speed = m miles per hour .
Speed = [tex]\frac{Distance}{time}[/tex].
We can say in 1 hour Jimmy ran =m miles.
1 hour = 60 minute .
Jimmy ran in 60 minute = m miles .
Jimmy run in 1 minute = [tex]\frac{m}{60}[/tex] miles.
Jimmy run in t minute = [tex]\frac{m}{60}* t[/tex] miles.
Jimmy run in t minute = [tex]\frac{m*t}{60}[/tex] miles.
Therefore, Jimmy run in t minute = [tex]\frac{m*t}{60}[/tex] miles.
The distance covered by Jimmy after t minutes is
[tex]m \: \times ( \frac{t}{60} )[/tex]
Recall :
Distance = Speed × Time
Speed = m miles per hour
Time = t minutes
Converting t to hours :
Recall :
1 hour = 60 minutes
t minutes = t/60 hours
Multiplying Jimmy's speed by the number of minutes run
Distance covered :
[tex]m \: \times ( \frac{t}{60} )[/tex]
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You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two events occur together: E1, in which the card drawn is a black card, and E2, in which the card drawn is a numbered card, 2 through 10.What is the probability of getting a black card and a numbered card? Calculate the probabilities P(E1) and P(E2) as fractions.
First, let's count:
there are 26 possible outcomes for E1 (black card)
there are 4x9 = 36 possible outcomes for E2, to pick a numbered card (any color)
there are 2x9 =18 possible outcomes for E1 (black) AND E2 (numbered, spade + clower)
the probability of E1 AND E2 is the ratio of the count of possible outcomes for E1 + E2 and the count of all possible outcomes (52 choices to pick a card from the deck):
P(E1 and E2) = 18/52 (34.6%)
And as asked:
P(E1) = 26/52 = 1/2 (50%)
P(E2) = 36/52 = 9/13 (69.2%)
[tex]n (S) = 5\\ n (E_1) = 2 x 13 = 26\\P (E_1) \frac{n (E_1)}{n (S)} = \frac {26}{52} = \frac{1}{2} \\\\ n (E_2) 4 x 9 = 36\\P (E_2)\frac{n (E_2)}{n (S)}=\frac{36}{52}= \frac{9}{13}[/tex]
EDMENTUM / PLATO ANSWER!!!!!!!!
CAN JUST WRITE:
[tex]P (E_1) \frac{n (E_1)}{n (S)} = \frac {26}{52} = \frac{1}{2}[/tex] = (50%)
[tex]P (E_2)\frac{n (E_2)}{n (S)}=\frac{36}{52}= \frac{9}{13}[/tex] = (69.2%) :)))))
Graph the following lines and write the equation in slope-intercept form. y intercept of −3 and an x intercept of −4.5.
Hello!
To find the equation of the line with a y-intercept of (0, -3) and a x-intercept of (-4.5, 0), we need to use the slope formula.
The slope formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
With that, we substitute the given ordered pairs into the formula, and solve.
[tex]\frac{0 - (-3)}{-4.5 - 0} = \frac{3}{-4.5} =\frac{3}{-\frac{9}{2} } = -\frac{2}{3}[/tex]
The slope of this line is -2/3 or -0.667 repeated (doesn't specify).
Therefore, the equation of the line is y = -2/3x - 3. (I also included the graph!) :-)
help please 4, 5, 6.......
4. Supplementary angles together make a straight line (two right angles). So BOE is supplementary to BOC
Answer: ∠BOE
5. Distance and midpoint between (4,-2), (6,8)
[tex]d = \sqrt{ (6-4)^2 + (8 - -2)^2} = \sqrt{2^2+10^2}=\sqrt{104}=2 \sqrt{26}[/tex]
midpoint
[tex]\left(\dfrac{4 + 6}{2}, \dfrac{-2 + 8}{2} \right) = (5, 3)[/tex]
Answer: distance 2√26, midpoint (5, 3)
6.That's a rectangle oriented parallel to the axes, width parallel to the x axis of 7 - -3 = 10 and length along y of 1 - - 4 = 5, so an area of 10(5)=50
Answer: 50
lm is the angle biesector of nlk and nlk=72,what is klm
∠KLM = 36°
the angle bisector divides ∠NLK into 2 equal angles
∠NLK = ∠NLM + ∠KLM
since ∠NLK = 72° then ∠NLM = ∠KLM = 36°
How many feet is 84 inches
Answer:
7 ft.
Step-by-step explanation:
1 ft./12 in. = x/84
Cross multiply:
1 × 84 = 84
x · 12 = 12x
12x = 84
12x/12 = 84/12
12x/12 = x
84/12 = 7
Ans. x = 7
Hope this helps! :)
There are 7 feet in 84 inches.
Given that we need to determine that how many feet in 84 inches.
To convert inches to feet, you need to divide the number of inches by the number of inches in a foot.
There are 12 inches in a foot.
Given that you have 84 inches, you can divide this value by 12 to find the equivalent in feet:
84 inches ÷ 12 inches/foot = 7 feet
So, 84 inches is equal to 7 feet.
Hence there are 7 feet in 84 inches.
Learn more about unit conversion click
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Convert y = 2x + 10 from slope intercept form to function notation.
Please help with explanation
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 2x + 10 is in this form
To express in functional notation replace y by f(x), thus
f(x) = 2x + 10
the number, 19/7, is _____ number
options:
A. an irrational
B. a rational
The number, 19/7, is B. a rational number
Rational numbers are numbers that can be written as a fraction.
In this case, 19/7 is already a fraction
~Rise Above the Ordinary
!!!! I need help with numbers 1 and 9 please !!!!!
(1)
given [tex]\frac{j}{6}[/tex] = [tex]\frac{9}{10}[/tex] ( cross- multiply )
10j = 54 ( divide both sides by 10 )
j = [tex]\frac{54}{10}[/tex] = [tex]\frac{27}{5}[/tex] ← in simplest form
(9)
let h be the hours worked daily , then
3h = 20 [tex]\frac{2}{3}[/tex] = [tex]\frac{62}{3}[/tex] ( divide both sides by 3 )
h = [tex]\frac{62}{3}[/tex] ÷ 3
= [tex]\frac{62}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{62}{9}[/tex] = 6 [tex]\frac{8}{9}[/tex]
She worked 6 [tex]\frac{8}{9}[/tex] hours each day
Andrew solved the following inequality, and his work is shown below:
−4(x + 8) + 25 ≤ −2 + 1(x − 50)
−4x − 32 + 25 ≤ −2 + 1x − 50
−4x − 7 ≤ 1x − 52
−5x ≤ −45
x ≤ 9
What mistake did Andrew make in solving the inequality? (2 points)
He subtracted 1x from both sides when he should have added 4x.
When dividing by −5, he did not change the ≤ to ≥.
He added 7 to both sides when he should have added 52.
He did not make a mistake.
Try this option:
rule: if to make a dividing by negative number (<0), the inequatlity sign must be changed to opposite.
According the rule described above, the correct answer is
'When dividing by -5, he did not change the ≤ to ≥'.
When dividing by - 5 he did not change ≤ to ≥
His calculations are correct down to the line - 5x ≤ 9
When dividing or multiplying by a negative quantity the inequality symbol must be reversed, thus
- 5x ≤ 9 ( divide both sides by - 5 )
x ≥ 9 ← inequality symbol reversed
Using the diagram on the right, find the length of GT and TA.
GT = 13 and TA = 3
Triangles GRT and GEA are similar and so the ratios of corresponding sides are equal
[tex]\frac{16}{16-x}[/tex] = [tex]\frac{8}{5}[/tex] ( cross- multiply )
8(16 - x) = 80
128 - 8x = 80
- 8x = - 48 ⇒ x = 3 = TA
16 - x = 16 - 3 = GT
Answer: GT = 13 and TA = 3
Triangles GRT and GEA are similar and so the ratios of corresponding sides are equal
= ( cross- multiply )
8(16 - x) = 80
128 - 8x = 80
- 8x = - 48 ⇒ x = 3 = TA
16 - x = 16 - 3 = GT
TA = 6 and GT = 10 ( arithmetic !!)
Step-by-step explanation:
Only need help on 8!!!
Answer:
Marked-down price: $19.99
Step-by-step explanation:
The markdown amount is ...
$29.99×33 1/3% = $10.00 . . . . . 9.99667 rounded up
The marked-down price is the original price less the markdown:
$29.99 - 10.00 = $19.99
_____
You will recognize that 33 1/3% = 1/3, so that the calculation is ...
[tex]\text{markdown}\,=\dfrac{\$29.99}{3}=\$9.99\overline{6}\approx\$10.00[/tex]
Locating Zeros of Polynomial Functions:
Determine the zeros to the nearest tenth
A graph shows zeros near -1.449 and +3.449. These suggest that one factor is the quadratic (x -1)² -6. That makes the other quadratic factor be (x -0.5)² +0.75. So, the complete factorization in integers is
... f(x) = (x² -2x -5)(x² -x +1)
The two real roots are near ...
... d. -1.4, 3.4
What is the value of x?
A.)62°
B.) 46°
C.) 56°
D.) 134°
The sum of the interior angles in a triangle is 180°. To find the value of x, you must subtract 47 and 71 from 180.
180-47-71=x
x=62
The answer is A. 62°
A box contains 8 books. It is 1/6 full. If the box were completely full, how many books would be in the box? A) 14 books B) 48 books C) 16 books D) 24 books
Let x equal the number of books in the box.
x* 1/6 = 8
Multiply each side by 6
x=48 books
The correct answer is B) 48 books.
To determine how many books a completely full box would hold, we need to consider the information given:
The box contains 8 books and it is 1/6 full. To find out how many books would be in the box if it were completely full, we need to set up a proportion:
[tex]\(\frac{8}{\frac{1}{6}} = \frac{8 imes 6}{1} = 48\)[/tex]
This means the box can hold 48 books when full.
So, the correct answer is:
B) 48 books
When rolling a fair number cube with numbers 1 through 6, what is the probability of rolling a number greater than 2?
A.) 1/2
B.) 1/4
C.) 2/3
D.) 5/6
You are asking for the proportion of numbers 1–6 that are greater than 2. The ones greater than 2 are 3, 4, 5, 6. There are 4 of them, out of the 6 possible numbers. Since the cube is fair, all numbers have equal probability. This means the probability of an outcome greater than 2 is
... 4/6 = 2/3
The appropriat choice is ...
... C.) 2/3
Find [tex]f^-1 ( x ) when f ( x ) = \frac{3x}{x-2}[/tex]
[tex]f^{-1}[/tex](x) = [tex]\frac{2x}{x-3}[/tex]
let y = f(x), then rearrange making x the subject
y = [tex]\frac{3x}{x-2}[/tex] ( multiply both sides by (x - 2 ))
y(x - 2 ) = 3x (distribute )
xy - 2y = 3x ( subtract 3x and add 2y to both sides )
xy - 3x = 2y (factor out x on left side )
x(y - 3 ) = 2y ( divide both sides by (y - 3) )
x = [tex]\frac{2y}{y-3}[/tex]
change y to x for inverse function
[tex]f^{-1}[/tex](x) = [tex]\frac{2x}{x-3}[/tex]
The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival. She only spent her money on ride tickets and admission into the festival. The price of admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation to calculate the cost for anyone who only pays for festival admission and rides
(c) Explain your answer to Part B. PLEASE HELP ITS DUE TODAY!!!
X= amount of rides
Y=total price (33.50)
Equation: 0.75(18) + X = 33.50
13.50+ X=33.50
-13.50 -13.50
X=20.00
Admission=20.00
Answer:
Part a) [tex]x=18\ tickets[/tex], [tex]y=\$33.50[/tex]
Part b) [tex]y=0.75x+20[/tex]
Step-by-step explanation:
Let
x------> the number of ride tickets.
k-----> constant that represent the cost for festival admission
y----> the total cost
we know that
[tex]y=0.75x+k[/tex]
we have that
[tex]x=18\ tickets[/tex]
[tex]y=\$33.50[/tex]
substitute the values
[tex]33.50=0.75(18)+k[/tex]
solve for k
[tex]k=33.50-0.75(18)[/tex]
[tex]k=\$20[/tex]
The linear equation to calculate the cost for anyone who only pays for festival admission and rides is equal to
[tex]y=0.75x+20[/tex]
Solve x -2/3(3x - 4) + 3x = 5/6 is x -19/6, 11/6, 21/6, 29/6
Answer:
x=-11/12
Step-by-step explanation:
Given an equation for x
x -2/3(3x - 4) + 3x = 5/6
We are asked to find the value of x.
We use equation rules to solve
To get rid of denominator in fraction, let us multiply the whole equation by 6.
6x-4(3x-4) +18x = 5
Simplify:
-6x+18x+16 =5
12x = 5-16 = -11
x = -11/12
Answer:
- 11/6
Step-by-step explanation:
Please, Help!
If 108 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $1.5 and total receipts for the concert was $252, how many of each went to the concert?
Answer:
adults = 40
children = 68
Step-by-step explanation:
Let the children=c
Let the adults = a
Equations
a + c = 108 (1)
3.75a + 1.5c = 252 (2)
Multiply (1) by 1.5
1.5a + 1.5c = 162 (3)
Subtract (3) from (2)
3.75a + 1.5c = 252
1.5 a + 1.5c = 162 Subtract
2.25a = 90 Divide by 2.25
a = 90/2.25
a = 40
Find the number of children
a + c = 108
40 + c = 108
c = 108 - 40
c = 68
Check
LHS
3.75 * 40 + 1.50 * 68
150 + 102
252 Which checks with the right hand side.
What is the greatest integer k such that 2k is a factor of 67!?
67!/2 = k = 18 235 555 459 094 342 644 124 929 548 302 732 213 583 817 657 024 762 296 850 814 250 133 981 218 471 936 000 000 000 000 000
about 1.82×10⁹⁴
Answer:
k=64
Step-by-step explanation:
To find out the greatest integer such that 2^{k}is a factor if 67!
We divide the quotients by 2 and then finally add all the quotients.
67/2 = 33.5 --------> 33
33/2 = 16.5 ---------> 16
16/2 = 8 --------> 8
8/2= 4 ---------> 4
4/2 = 2--------> 2
2/2 = 1 ----------> 1
k= 33+16+8+4+2+1
= 64
Hence, 64 is the greatest integer such that 2^{k} is a factor of 67!.
Find b and c so that y=-14x^2+bc+c has vertex (-9,8)
b = - 252 and c = - 1126
the equation of a parabola in vertex form is
y a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - 14(x + 9)² + 8 ← equation in vertex form
expand and compare coefficients
y = - 14(x² + 18x + 81 ) + 8 = - 14x² - 252x - 1134 + 8
compare to y = - 14x² + bx + c
b = - 252 and c = - 1126
The subscription to a popular magazine decreased from $66 per year to $52.80 per year. What is the percent of decrease for the magazine's subscription?
Final answer:
The percent of decrease for the magazine's subscription is 20%.
Explanation:
To find the percent of decrease for the magazine's subscription, we need to calculate the difference between the original price and the new price, and then divide it by the original price.
The decrease in price is $66 - $52.80 = $13.20.
The percent of decrease is ($13.20 / $66) * 100% = 20%.
What percentage increase is this?
17.50 to 25.00
The percentage increased by 42.86%.
To calculate the percentage increase:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
If your answer is a negative number then this is a percentage decrease.
Which statements are biconditional? Check all that apply.
All triangles and rectangles are polygons.
Sam bakes cookies or he bakes bread.
If it is fashionable, then this store sells it.
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.
Victoria will play outside if and only if the weather is nice.
Biconditionals are statements that work both ways.
Some examples:
If it rains, I go out, and if I go out, it must be raining.
This can be stated concisely in mathematical terms as
I go out IF AND ONLY IF it rains.
So looking at the given statements, only the last two work both ways, namely:
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.
Victoria will play outside if and only if the weather is nice.
Answer:
D&EStep-by-step explanation:
Solve using synthetic division. (x^3 − 2x^2 − 5x + 6) ÷ (x − 1)
1 | 1 - 2 - 5 6
1 - 1 - 6 0
quotient = x² - x - 6 = (x - 3 )( x + 2 )
What percent of 80 is 50? Show your work.
50*2= 100
So 50 is one half of One hundred and if we use 100 divided by 2 to get 50 then we need to do 80 / 2 which will give us 40.
I’m literally begging u for help, I need help with the last question in the pic I’m
Jeremy is opening a savings account earning simple interest. he plans to deposit his $50 birthday money and leave the account alone until he goes to college. he will earn $5 per year in interest.
I just need help with the last question plzzzz
If the second coordinate of the ordered pair represents the dollar amount in Jeremy's savings account, then adding 10 to it means that $10 has been added to Jeremy's account.
Answer both please man. Or sorry you'll get a 1 star rating. THanks for answering guys!
For the first one,
x = 10.
For the second one,
x = 12
x = [tex]\frac{60}{9}[/tex] and x = [tex]\frac{45}{8}[/tex]
Since in both cases the figures are similar then the ratios of corresponding sides are equal
[tex]\frac{x}{15}[/tex] = [tex]\frac{4}{9}[/tex] ( cross- multiply )
9x = 60 ( divide both sides by 9 )
x = [tex]\frac{60}{9}[/tex]
and [tex]\frac{x}{5}[/tex] = [tex]\frac{9}{8}[/tex]
8x = 45 ( divide both sides by 8 )
x = [tex]\frac{45}{8}[/tex]