Answer:
3/8
Step-by-step explanation:
Graph the linear function with a table.
h(x) = -5x
please help!
Describe a sequence of transformations that maps Figure A to Figure B.
A. A 270° rotation about the origin, and then a dilation of 2 with center (0,0)
B. A 270° rotation about the origin, and then an expansion of 2 with center (0,0)
C. A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
D. A 90° rotation about the origin, and then a dilation of 2 with center (0,0)
A sequence of transformations that maps Figure A to Figure B are: A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
The correct answer is an option (C)
What is transformation?"It means changing the size and position of an object from its original position to a new position."
What is rotation?"It is a transformation that turns a figure about a fixed."
For given example,
We need to describe the transformation that maps Figure A to Figure B.
First we rotate figure A by 90° about the origin.
We can observe that the size of the figure B is larger than the figure A.
So, after rotation we expand figure A by 2 units.
Therefore, a sequence of transformations that maps Figure A to Figure B are: A 90° rotation about the origin, and then an expansion of 2 with center (0,0).
The correct answer is an option (C)
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What equation represents the line that passes through points (1.-5) and (3 -17)?
ALL LINES CAN BE REPRESENTED IN THE FORM [tex]f(x) = ax+b[/tex].
We know that:
[tex]f(1) = -5 \implies a\cdot(1)+b = -5 \implies a+b = -5[/tex]
and
[tex]f(3) = -17 \implies a\cdot(3) +b = -17 \implies 3a+b = 17[/tex]
Observe that:
[tex]3a+b = 2a+a+b = 2a+(a+b)[/tex]
So:
[tex]2a+(a+b) =-17[/tex]
But we know that [tex]a+b = -5[/tex], so:
[tex]2a+(a+b) =-17[/tex]
[tex]2a+(-5) = -17[/tex]
[tex]2a = -12[/tex]
[tex]a = -6[/tex]
Since:
[tex]a+b = -5[/tex]
[tex](-6)+b = -5[/tex]
[tex]b = 1[/tex]
So the line is:
[tex]f(x) = 1-6x[/tex]
The graph shows how the values of two used cars changed during a 10-year period.
USED CAR VALUES
25+
Car 1
15
Value (thousands of dollars)
Car 2
10
0 1 2 3 4 5 6 7 8 9 10
Time (years)
What was the approximate value of the cars when the two cars were equal in value?
Answer:
$9000
Step-by-step explanation:
Answer:
iTS B which would be 9,000
Step-by-step explanation:
help help help guys show you solution
Answer:
Step-by-step explanation:
1) y = 2x ----------(I)
x + y = 6 -----------(II)
Plug in y =2x in equation (II)
x + 2x = 6 {Add like terms}
3x = 6
x = 6/3
x = 2
Plugin x = 2 in (I)
y = 2*2
y = 4
Check:
LHS = x +y
= 2 + 4
= 6 = RHS
2)5x + 10y = 3 ------------(I)
x = (-1/2) y ------------(II)
Substitute x = (-1/2)y in (I)
[tex]5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}[/tex]
Substitute y = (2/5) in equation (II)
[tex]x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}[/tex]
Check:
Substitute x and y value in equation (I)
[tex]LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS[/tex]
3) y - x = 3x + 2
y = 3x + 2 + x
y = 4x + 2 ---------------(I)
2x + 2y = 14 - y
2x + 2y +y = 14
2x + 3y = 14 ------------------(II)
Substitute y = 4x + 2 in equation (II)
2x + 3(4x +2) = 14
2x + 3*4x + 3*2 = 14
2x + 12x + 6 = 14
14x + 6 = 14
14x = 14 - 6
14x = 8
x = 8/14
x = 4/7
Substitute 'x' value in (I)
[tex]y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}[/tex]
Check:
[tex]LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS[/tex]
Need done ASAPppppppp
Answer:
a. Yes it's a proportional relationship. It is because Distance is travelled uniformly.
b. Unit is m/min^2.
c. It means he is travelling in meters with minutes counting how far he have travelled.
Hope this helped. Dont forget to give thanks.
1.What are the distances from the point (x,y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x−2)2+(y+5)2
distance to the directrix: |y−6|
distance to the focus: √(x+4)2+(y−2)2
distance to the directrix: |x+6|
distance to the directrix: |y+6|
distance to the focus: √(x−2)2+(y+4)2
2. What is the correct standard form of the equation of the parabola?
Answer:
Part A)
5th and 6th Choices
Part B)
[tex]\displaystyle y=\frac{1}{4}x^2-x-4[/tex]
Step-by-step explanation:
We are given a parabola with focus at (2, -4) and the directrix given by y = -6.
Part A)
Since our directrix is an equation of y, the distance from any point (x, y) on the parabola to the directrix will simply be the absolute value of the difference of the y-values. Hence:
[tex]d_1=|y-(-6)|=|y+6|[/tex]
Again, we will use the distance formula. Let the point (x, y) be (x₂, y₂) and our focus (2, -4) be (x₁, y₁). Then by the distance formula:
[tex]d_2=\sqrt{(x-2)^2+(y-(-4))^2}=\sqrt{(x-2)^2+(y+4)^2[/tex]
Hence, our answers are the 5th and 6th choices.
Part B)
By definition, any point (x, y) on the parabola is equidistant to the focus and the directrix. Hence:
[tex]\sqrt{(x-2)^2+(y+4)^2}=|y+6|[/tex]
Square both sides. We may remove the absolute value as anything squared yields a positive. Hence:
[tex](x-2)^2+(y+4)^2=(y+6)^2[/tex]
Square:
[tex](x^2-4x+4)+(y^2+8y+16)=(y^2+12y+36)[/tex]
Rearrange:
[tex](x^2-4x+20)-(36)=(y^2-y^2)+(12y-8y)[/tex]
Combine like terms:
[tex]x^2-4x-16=4y[/tex]
Divide both sides by 4. Hence, our equation is:
[tex]\displaystyle y=\frac{1}{4}x^2-x-4[/tex]
Can somebody plz just tell me if I’m doing these ratios right. If I’m not plz put the correct answer thanks!!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
no you are actually doing really good keep it up
Answer:
Its right but you might wanna simplify 12, 15, 16, and 17
Step-by-step explanation:
PLZ HELP ASAP ILL GIVE BRAINLEST
Answer:
2.25
Step-by-step explanation:
-9/-4= 2.25
I did the work and it's what the person above me said.
y = 3/2x + 2
y = 2/3x + 6
These lines are...
Answer:
As the lines are neither parallel nor perpendicular.
Therefore, These lines are neither parallel nor perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the lines
y = 3/2x + 2y = 2/3x + 6y = 3/2x + 2
Finding the slope of y = 3/2x + 2
comparing with the slope-intercept form of the line equation
The slope m₁ = 3/2
y = 2/3x + 6
Finding the slope of y = 2/3x + 6
comparing with the slope-intercept form of the line equation
The slope m₂ = 2/3
So,
m₁ = 3/2
m₂ = 2/3
We know that when two lines are parallel, they have equal slopes
But
m₁ ≠ m₂
3/2 ≠ 2/3
As the m₁ and m₂ are not equal.
Hence, the lines are not parallel.
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = 3/2 × 2/3
= 6/6
= 1
As
m₁ × m₂ ≠ -1
Thus, the lines are not perpendicular.
Conclusion:
As the lines are neither parallel nor perpendicular.
Therefore, These lines are neither parallel nor perpendicular.
Which triangle is congruent to KLM?
Answer: I think the first similar to KLM
Step-by-step explanation:
Determine which consecutive integers do not have a real zero of f(x) = x3 - 4x2 - 4x+ 15 between them. a (4, 5) c. (2-1) b. (1, 2) d (-3,-2)
Answer: B
Step-by-step explanation: the answer is (0,1)
Franco buys a house for £146,500
He sells the house for £158,220
Calculate the percentage profit Franco makes.
Answer:
8%
Step-by-step explanation:
158220 - 146500 = 11720
(11720/146500) × 100 = 8
How many ounces are there in 13.5 pounds? Answer without units.
Answer:
216
Step-by-step explanation:
Helppppppppppppppppppppppp please.
Answer:
What do you need help with? :P
Step-by-step explanation:
Hav a gud day :3
378 is what percent of 450?
Show work!
Answer:
84 %
Step-by-step explanation: I also got this question
Step-by-step explanation:
378/450×100
0.84×100
=84%............
CAN SOMEONE PLEASE HELP ME WITH THIS ?
Answer:b
Step-by-step explanation:
The cost for fudge at Candy Lane is represented by the table. The graph shows the cost of a similar fudge that Best Fudge Shop sells.
Which is the difference in cost when purchasing 5 pounds of fudge at each store?
Answer:
$16 Dollars
Step-by-step explanation:
A log is 20 m long, correct to the nearest metre.
It has to be cut into fence posts which must be 90 cm long, correct
to the nearest 10 centimetres.
What is the largest number of fence posts that can possibly be cut from the log?
Answer:
222 fence posts
Step-by-step explanation:
Since the log is 20 m long, correct to the nearest metre and has to be cut into fence posts which must be 90 cm long, correct to the nearest 10 centimetres, there can be x fence posts 90 cm long.
So, we have x × 90 cm = 20 m
x × 0.9 m = 20 m
x = 20 m/0.9 m
x = 222.22
x ≅ 222 fence posts
So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.
The figure below is a net (flat pattern) of a
geometrical solid. The net, when folded on the
dashed lines, makes a right rectangular prism.
The given lengths are in feet. What is x ?
X
6
4.
5
F 3
G. 4
H. 5
J. 6
Answer:
G. 4
Step-by-step explanation:
Most geometrical solids can be unfolded into a flat pattern referred to as a net. This shows each part or surface spread out on an horizontal plane. The folding of the net with respect to the edges produce the initial solid.
From the given diagram,it can be observed that when the net is folded with respect to the edges, it would form a cuboid with x = 4.
2) The original price of a scarf was $35. During a store-closing sale, a shopper saved $14 on the scarf. a.) Did the shopper save more or less than 50%? b.) What percentage discount did she receive?
Answer: 35 times 50% is 17.5 so she got a 40% discount because 35 times 40% equals 14
Step-by-step explanation:
You have to do first 35•50% and get your answer and if it’s not the right number then go up or down and I went down 10 and got 14 when I did 35•40%
i really need this answer right away i will give you brainliest what is 1.50j + 30 < 32
Answer:
1.50 is what percent of 32
what percent of 32 is 1.50 ?
Solution: 1.50 is what percent of 32 is equal to (1.50 / 32) x 100 = 4.69%. So if you buy an item at $32 with $1.50 discounts, you will pay $30.5 and get 4.69% discount cashback rewards so 4.69 is your answer
Step-by-step explanation:
Hope this helps
HELP! 10 points! The average of Amy's, Ben's, and Chris's ages is 6. Four years ago, Chris was the same age as Amy is now. In four years, Ben's age will be 3/5 of Amy's age at that time. How many years old is Chris now?
Answer:
I believe the answer is 10
A line with a slope of 3/10 passes through the point (10, 3). What is its equation in
slope-intercept form?
Answer:
[tex] y = \frac{3}{10} x[/tex]
Step-by-step explanation:
[tex]y - 3 = \frac{3}{10} (x - 10) \\ \\ y - 3 = \frac{3}{10} x - \frac{3}{10} \times 10 \\ \\y - 3 = \frac{3}{10} x - 3 \\ \\y = \frac{3}{10} x - 3 + 3 \\ \\ y = \frac{3}{10} x + 0 \\ \\ \purple{ \bold{ y = \frac{3}{10} x}} \\ is \: the \: required \: equation[/tex]
On a map, 1 inch represents 20 miles. The distance between two towns is 6 whole number 1/5 inches. How many miles are actually between the towns?
Answer:
124 miles.
Step-by-step explanation:
From the question given above, the following data were obtained:
1 in = 20 miles
6 1/5 in =?
Next, we shall express 6 1/5 in decimal for easy calculation . This can be obtained as follow:
6 1/5 = 31 / 5
6 1/5 = 6.2 in
Finally, we shall convert 6.2 in to miles. This can be obtained as follow:
1 in = 20 miles
Therefore,
6.2 in = 6.2 in × 20 miles / 1 in
6.2 in = 124 miles
Thus, 6 1/5 in is equivalent to 124 miles.
Therefore, there are 124 miles between the two towns.
A supermarket sells 11 different sandwiches, 9 snacks and 5 drinks.
They have an offer: "Buy a sandwich and get either a snack or a drink for free."
How many different meals can you get on the offer?
Answer: There are 154 different meals that you can get with this offer.
Step-by-step explanation:
The total number of combinations will be equal to the product of the numbers of options for each selection.
Here we know that:
"Buy a sandwich and get either a snack or a drink for free."
Then we have two selections:
Sandwich, where we have 11 different types.
Snack or a drink (we can choose only one) there are 9 options for snacks, and 5 options for drinks, then there is a total of 9 + 5 = 14 options.
The total number of different combinations is:
Combinations = 11*14 = 154
There are 154 different meals that you can get on the offer.
if the mailbox is 4 feet tall and located 54 feet and located 54 feet from the base of the flagpole, find the height of the flagpole
Answer:
120
Step-by-step explanation:
I believe it is, I cant really explain good but trust me :)
Express x^2 +12+11 in the form (x+p)^2 +q
Answer:
Assuming you meant x² + 12x + 11, then it would be expressed as:
(x + 6)² - 25
Step-by-step explanation:
The way you wrote the expression, the second term is not multiplied by x, and you wouldn't get the answer expected. It would just be x² + 33. Presumably that was in error and the 12 is in fact just a coefficient of x, so let's work from there.
x² + 12x + 11
= x² + 12x + 36 - 25
= (x + 6)² - 25
What is the correct factorization of x2+6x+8?
Answer:
(x + 2)(x + 4)
Step-by-step explanation:
You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)
Write an equation where a number is multiplied by a variable, and a solution is -4/5
Answer:
5x = -4
Step-by-step explanation:
5x = -4
x would have to be -4/5 because -4 divided by 5 is -4/5.
The equation will be 5x = -4 to get the solution of -4 / 5.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the number is multiplied by a variable and the solution is -4 / 5. Let the variable be x then multiply the variable by 5 which is equivalent to -4 now solve for the value of x.
The equation will be formed as below:-
5x = -4
x = -4 / 5
Therefore, the equation will be 5x = -4 to get the solution of -4 / 5.
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