Answer:
y is NOT a function.
Step-by-step explanation:
The equation given to us is:
x² + 3y² = 3
Rearrange the equation:
3y² = 3 - x²
y² = (3 - x²)/3
y² = 1 - (x²)/3
y = ±√(1 - x²/3)
For any equation to be a function, there should be only one output for one input. Which means that for any value of x, there should be only one value of y. However, in this equation, as the underroot gives two values of any terms under it, it shows that if we put any value of x, we'll get 2 values of y. Therefore, y is not a function.
PLLZZZZZZZ HELP I WILLL GIVE BRAINLIEST TO THE FIRST ONE TO ANSWER
Answer:
positive
Step-by-step explanation:
Paul developed a roll of film containing 36 pictures. If he made 2 prints each of half of the pictures and 1 print of each of the rest, how many prints did he make in all?
Answer:
54
Step-by-step explanation:
Total pictures in the roll = 36
half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18
Given Paul made 2 prints of each of the half pictures
no. of prints made of half of the pictures = 18*2 = 36
No. of prints left after the half of the roll is printed for two prints= 36-18 = 18
No. of prints made of rest of the pictures 1
Therefore , no of prints made of rest half of pictures = 18*1 = 18
Total prints made = 36 + 18 = 54.
Thus, Paul made 54 prints in all.
Which function is the result of vertically stretching ƒ(x) = x2 by a factor of 2 and translating it 4 units upward?
Question 20 options:
A)
y = –4x2 + 2
B)
y = 4x2 + 2
C)
y = 2x2 + 4
D)
y = 2x2 – 4
Answer:
The correct answer is the letter C.
Step-by-step explanation:
In order to stretch a function we need to multiply it by the factor we want to stretch, if we want to shrink the function we will have to divide it by the factor. On the other hand in order to translate it we need to sum the factor we want the function to shift. In this case we want to stretch the function by 2, therefore the new function must be 2*f(x), but we also want it to shift by 4 units so it has to be 2*f(x) + 4. Applying the given expression:
[tex]g(x) = 2*f(x) + 4\\g(x) = 2*x^2 + 4[/tex]
The correct answer is the letter C.
Answer:
C
Step-by-step explanation:
y= 2x^2 + 4
On a coordinate plane, a quadrilateral has points W prime (negative 4, 1), X prime (negative 2, 2), Y prime (0, negative 3), and Z prime (negative 4, negative 4). The image of a figure is shown. What are the coordinates of X in the pre-image of the figure if the rule that created the image was T–5.2, 1.4(x, y)? X =
Answer:
(3.2, 0.6)
Step-by-step explanation:
[tex]T_{-5.2, 1.4} [/tex] means a translation of (x, y) → (x - 5.2, y + 1.4)
Suppose X has coordinates (a, b), after the translation is applied, X' has coordinates (a - 5.2, b + 1.4). X' is located at (-2, 2), therefore:
a - 5.2 = -2
a = -2 + 5.2
a = 3.2
b + 1.4 = 2
b = 2 - 1.4
b = 0.6
Answer:
(3.2, 0.6)
Step-by-step explanation:
edg 2021
Find the area of the shaded polygons:
Answer:
6.5 square units
Step-by-step explanation:
There are MANY ways to do this problem, most of them involving breaking it into 3 or four shapes. But this one is easier if you do most of it by taking out the squares and half squares.
Squares - 3
Half squares - 4 (totals 2 squares)
Triangle - 1 - 1/2bh = 1/2x1x3 = 1.5
TOTAL = 3+2+1.5=6.5
Answer:
6 sq. un
Step-by-step explanation:
a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale price of this bike
Answer:
$162.50
Step-by-step explanation:
Answer:
87.5
You need to take 30 percent from 125 and subtract it to get the wholesale price
If a rabbit can move 1 5/19 miles every hour, then how many hours would it take a rabbit to go 72 miles?
Answer:
57 hours
Step-by-step explanation:
72 ÷ (1 + (5 ÷ 19))-57
Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9? 6 over 25 36 over 25 12 over 5 252 over 5
Answer:
i think it might be A
Step-by-step explanation:
Answer:
Its B trust and can you give me the brainlist
Step-by-step explanation:
What is the linear function defines the following Arithmetic Sequence? -5, -3, -1, 1, 3, ...
a. an = -5 + 2(n - 1)
b. an = -5 - 2(n - 1)
c. an = 5 - 2(n - 1)
d. an = 5 + 2(n - 1)
Answer:
an = -5 + 2( n-1)
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+ d ( n-1)
where a1 is the first term and d is the common difference
a1 = -5 since it is the first term in the sequence
d = term 2 minus term1
= -3 - (-5)
= -3+5 = 2
an = -5 + 2( n-1)
Which of the following is a numerical expression that involves addition? x + 8 7 – x 2 + 5 6x
Answer:
x+8
Step-by-step explanation:
This is because in this answer, there are two terms with an addition sign in between them.
Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.
Answer: D
Step-by-step explanation:
y=4√2
This triangle is isosceles. Thus, two of the legs are congruent by A.S. Thm
D is the only choice with y = 4√2.
Which of the following is an equivalent form of the compound inequality -44 > -2x - 82-8?
0-2x - 8 >-44 and -2x - 82-8
O-2x > -44 and -8-8
0-2x - 8<-44 and -2x -85-8
0-2x -8<-44 and -2x - 82-8
I NEED HELP ASAP
Answer:
(d) -2x -8 < -44 and -2x -8 ≥ -8
Step-by-step explanation:
A compound inequality is a mathematical sentence that combines two simple inequalities. A solution will satisfy both inequalities. That is, it represents an "and" (intersection) condition for the solution sets.
Equivalent pairAn inequality of the form ...
a > b ≥ c
can be written as a pair of inequalities by considering what is on either side of each of the relation symbols:
left symbol: a > bright symbol: b ≥ cApplicationGiven: -44 > -2x -8 ≥ -8
We can decompose the given inequality into the system ...
-44 > -2x -8 . . . . . . . . left symbol-2x -8 ≥ -8 . . . . . . . . . right symbolWhen we compare these to the offered answer choices, we see that we need to rewrite the first inequality so the constant is on the right:
-2x -8 < -44
Then the equivalent form of the given inequality is ...
-2x -8 < -44 and -2x -8 ≥ -8
__
Additional comment
The transitive property of inequality means that ...
a > b ≥ c
implies that a > c.
You will notice that our given inequality, written in this way, becomes ...
-44 > -8 . . . . . . not true
This means the inequality has no solution. (The solution set is the empty set.)
Someone please help me it’s 20 points please help!!!
Answer:
[tex]g(1)=1[/tex]
Step-by-step explanation:
Use just the definition for the appropriate section of the Domain that includes x=1,
that is the third definition:
[tex]g(x)=x^3-x^2+1\\g(1)=(1)^3-(1)^2+1\\g(1)=1[/tex]
The number of hot peppers in a salad is based on the number of servings, as shown in the table below. Salad Servings Hot peppers 2 4 4 8 8 ? 12 24 How many hot peppers are in an 8-serving salad?
the answer is 16
because 4,8,12,16,20,24
its closest to 24
Answer:
16
Step-by-step explanation:
When I square my number, I get the same answer as when I multiply my number by 10 and then add 144. My number is positive. What is it?
Answer:
your number is 18
Step-by-step explanation:
x^2 = (x × 10 ) + 144
x^2 = 10x + 144
x^2 - 10x - 144 = 0
using quadratic method
your answer should be
(x- 18) ( x+8 )
Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line plot shown below
Answer: The answer is 7 3/4 :)) <3 have a good day.
The amount of juice left by the three students is (31/4) ounces.
What is dot plot?A dot plot, also called a dot chart, is a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins.
Given is that Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast.
The total juice left by 3 students is equivalent to -
{x] = 2 x {2[tex]\frac{1}{4}[/tex]} + 3[tex]\frac{1}{4}[/tex]
{x} = 2 x 9/4 + 13/4
{x} = 18/4 + 13/4
{x} = 31/4
Therefore, the amount of juice left by the three students is (31/4) ounces.
To solve more questions on word problems, visit the link below -
https://brainly.com/question/29203255
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Please Help Me What are the roots of the equation? x2+2x−24=0 Enter your answers in the boxes.
Answer:
x = 4 , − 6
Step-by-step explanation:
Answer:
x=4,-6
Step-by-step explanation:
Add 24 to both sides.
x2+2x=24
Plug in 4
4^2+2(4)=24
Solve
16+8=24
24=24
Add 24 to both sides.
x^2+2x=24
Plug in -6
-6^2+2(-6)=24
Solve
36-12=24
24=24
Please help ASAP+ brainliest
Answer:
c
Step-by-step explanation:
What's the equation of the parabola that has its vertex at (8,–14) and a point (5,13) that lies on the curve?
Question 13 options:
A)
y = (x + 8)2 – 14
B)
y = (x – 8)2 – 14
C)
y = 3(x + 8)2 – 14
D)
y = 3(x – 8)2 – 14
Answer:
The expression with the described characteristics is: [tex]y = 3*(x - 8)^2 - 14[/tex]. Therefore the correct answer is letter D.
Step-by-step explanation:
I believe there is a typo in the vertex's coordinate, I think it should be (8,14). I came to this conclusion by observing the possible answers, if the given vertex is correct then there are no correct answers among them. I made my best effort to explain the question in a way that can be generalized for different vertex's coordinates.
The equations are given in their vertex form. This form has the following structure:
[tex]y = a*(x - h)^2 - k[/tex]
Where (h,k) are the vertex's coordinates, in our case (8, 14). This knowledge makes easier to determine a equation with the correct vertex as shown below:
[tex]y = a*(x - 8)^2 - 14[/tex]
Where the value of "a" must be determined by applying the given point.
[tex]13 = a*(5 - 8)^2 - 14\\13 = a*(3)^2 - 14\\a*9 = 27\\a = \frac{27}{9}\\a = 3[/tex]
The expression with the described characteristics is: [tex]y = 3*(x - 8)^2 - 14[/tex]. Therefore the correct answer is letter D.
Tasha used the pattern in the table to find the value of 4 Superscript negative 4. Powers of 4 Value 4 squared 16 4 Superscript 1 4 4 Superscript 0 1 4 Superscript negative 1 One-fourth 4 Superscript negative 2 StartFraction 1 Over 16 EndFraction She used these steps. Step 1 Find a pattern in the table. The pattern is to divide the previous value by 4 when the exponent decreases by 1. Step 2 Find the value of 4 Superscript negative 3. 4 Superscript negative 3 = StartFraction 1 Over 16 EndFraction divided by 4 = StartFraction 1 Over 16 EndFraction times one-fourth = StartFraction 1 Over 64 EndFraction Step 3 Find the value of 4 Superscript negative 4. 4 Superscript negative 4 = StartFraction 1 Over 64 EndFraction divided by 4 = StartFraction 1 Over 64 EndFraction times one-fourth = StartFraction 1 Over 256 EndFraction Step 4 Rewrite the value for 4 Superscript negative 4. StartFraction 1 Over 256 EndFraction = negative StartFraction 1 Over 4 Superscript negative 4 EndFraction In which step did Tasha make the first error? Step 1 Step 2 Step 3 Step 4
Answer:
Step 4
Step-by-step explanation:
The table is given below
[tex]\left|\begin{array}{c|c}$Powers of 4 &$Value\\---&---\\4^2&16\\4^1&4\\4^0&1\\4^{-1}&\dfrac14\\4^{-2}&\dfrac{1}{16}\end{array}\right|[/tex]
Tasha wants to find the value of [tex]4^{-4}[/tex].
Her steps are:
Step 1: Find a pattern in the table.
The pattern is to divide the previous value by 4 when the exponent decreases by 1.
Step 2: Find the value of [tex]4^{-3}[/tex].
[tex]4^{-3}=\dfrac{1}{16} \div 4= \dfrac{1}{16} \times \dfrac{1}{4}= \dfrac{1}{64}[/tex]
Step 3: Find the value of [tex]4^{-4}[/tex].
[tex]4^{-4}= \dfrac{1}{64} \div 4 = \dfrac{1}{64} \times \dfrac{1}{4}= \dfrac{1}{256}[/tex]
Step 4: Rewrite the value for [tex]4^{-4}[/tex].
[tex]\dfrac{1}{256} = -\dfrac{1}{4^{-4}}[/tex]
Tasha made her first error in Step 4. The correct step is:
[tex]\dfrac{1}{256} = \dfrac{1}{4^{4}}[/tex]
Answer:
Step-by-step explanation:
First error step 4
what is 17/32 rounded to the nearest half)need help now) ?
Answer:
1/2.
Step-by-step explanation:
16/32 = 1/2 so the answer is 1/2.
Answer:
you cant bring that fraction any lower so 17/32 is 17/32
or if you need it in a decimal 0.53
Step-by-step explanation:
Which of the lines in the picture are lines of symmetry of the given figure? Please explain!
Answer:
n,r,t
Step-by-step explanation:
The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. As you can see above the lines n,r,t are the only lines that give identical halves of the figure
Please help :) is the relationship linear, if so model the data with and equation.
Answer:
pretty sure it's A
Step-by-step explanation:
The problems don't add up so I'd say it's linear (you probably shouldn't take my advice I'm as bad at math as you are-)
Answer:
C. y + 4 = -1/2 (x - 1)
Step-by-step explanation:
The x values go up by 6 units each step, 1, 7, 13, 19.
Start with 1 and add 6 to get 7, then add 6 to get 13, then add 6 to get 19.
For each corresponding step in x, y becomes 3 less.
Start with -4, then subtract 3 to get -7, subtract 3 to get -10, subtract 3 to get -13.
For every change of 6 in x, you get a change of -3 in y. This means a linear relationship.
To find the equation, we can use any two of the given points and the point-slope equation of a line.
y - y1 = m(x - x1)
m = slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line, and m = slope.
Let's use the points (x1, y1) = (1, -4) and (x2, y2) = (7, -7)
y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
y - (-4) = (-7 - (-4))/(7 - 1) * (x - 1)
y + 4 = (-7 + 4)/(6) * (x - 1)
y + 4 = (-3/6)(x - 1)
y + 4 = -1/2 (x - 1)
What is the completely simplified equivalent of 2 over 5+i? the 'i' is 1! thx for the help!
Answer:
1/3 ≅ .33333
Step-by-step explanation:
If 'i' is 1, then 5+i is 6. 2 over 6 is 1 over 3. (2/6 = 1/3) 1 over 3 is also .3333... forever repeating.
Hope this helps!
Given that f (x ) = 5 x - 10 and g (x ) = x = 3 , solve for f (g(x)) when x = -1
Answer:
f(g(x))(-1) = 0
Step-by-step explanation:
Step 1: Find f(g(x))
5(x + 3) - 10
5x + 15 - 10
5x + 5
Step 2: Plug in -1
5(-1) + 5
-5 + 5
0
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
a) 8
b) 9
c) 10
d) 11
e) 12
In my view option D but it can be wrong
Pls, answer a really easy question! I will mark u as the brainliest!!!
Round the number 4 765 173 to:
i. the nearest million, ii. the nearest 100
Answer:
Step-by-step explanation:
i) to nearest million -- 5,000,000
ii) to nearest 100 -- 4,765,200
hope this helps
plz mark it as brainliest!!!!!
Answer:
5 000 000 4 765 200
Step-by-step explanation:
i just rounded the million and hundred and thats how i got my number.
What is 131x682 can anyone tell me the step of doing it I don’t know how to
Answer:
91232
Step-by-step explanation:
WIL GIVE BRAINLIEST IF ANSWER FAST! Evaluate the expression 7x2y, when x = 4 and y = 2. 112 224 542 718
Answer:
224
Step-by-step explanation:
Substitute x = 4 and y = 2 into the expression and evaluate
7x²y = 7 × 4² × 2 = 7 × 16 × 2 = 7 × 32 = 224.
Hope this helped you!
What challenges might people living in a country or state with high concentration of subprime scores be facing as a result of the low credit scores?
Answer:
poverty and hunger