Determine whether the function x2 = –y – 2 is quadratic or not. Explain.
Answers
Answer:
Yes, it is.
Step-by-step explanation:
A quadratic function always has [tex]x^{2}[/tex] [tex]x[/tex]≠0
The function x² = -y - 2 is a quadratic function.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
As per the given data:
The function is x² = -y - 2
Rearranging the function:
y = x² - 2
A quadratic function is always of the form:
y = ax² + bx + c, where a, b and c are real numbers with a not equal to 0.
We can write y = x² - 2 as:
y = x² + 0(x) - 2, here a = 1, b = 0, c = -2
Hence, the function x² = -y - 2 is a quadratic function.
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Related Questions
This figure represents a small paperweight that is to be covered on all sides with a plaid fabric.
How much fabric is needed to cover the paperweight?
Enter your answer as a decimal in the box.
cm²
HELP ASAP 50 POINTS!!!!
Answers
Find total surface area
L=4.5cmB=5cmH=3.5cmNow
TSA
2(LB+BH+LH)2(4.5×5+3.5×5+3.5×4.5)2(55.75)111.5cm²Answer:
111.5 cm²
Step-by-step explanation:
Fabric needed to cover paperweight = Surface Area
Surface Area
2(LH + BH + LB)2(5 x 3.5 + 4.5 x 3.5 + 5 x 4.5)2(17.5 + 15.75 + 22.5)2(55.75)111.5 cm²Could you help me with this question, please?
Answers
Answer:
B) 1/4 gallon
Step-by-step explanation:
There is 5/8 in a jug
[tex]\sf \dfrac{5}{8}=\dfrac{2}{8}+\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{8}[/tex]
There are 3 jugs containing (1/8). To these jugs 1/8 of the juice from (5/8) is poured.
So, now all the jugs will have (2/8) = 1/4
the length, breadth and height of a cuboid are in the ratio 5:4:2 if the volume of cuboid is 5000 cm,then what will be the surface of the area of the cuboid
Answers
Answer:
1900 cm²
Step-by-step explanation:
We can use the given ratios and volume to find the scale factor for the dimensions. Knowing the dimensions, we can compute the surface area using the formula for a cuboid.
__
dimensionsLet k represent the scale factor. Then the actual dimensions will be 5k, 4k, and 2k. The actual volume will be ...
V = LWH
5000 cm³ = (5k)(4k)(2k) = 40k³
k³ = (5000 cm³)/40 = 125 cm³
k = ∛(125 cm³) = 5 cm
The cuboid dimensions are 5(5 cm) = 25 cm, 4(5 cm) = 20 cm, and 2(5 cm) = 10 cm.
__
areaThe surface area of the cuboid can be computed from ...
A = 2(LW +H(L +W))
A = 2((25 cm)(20 cm) +(10 cm)(25 +20 cm))
A = 2(500 cm² +(10 cm)(45 cm)) = 2(950 cm²) = 1900 cm²
The surface area of the cuboid is 1900 cm².
For the equations given below, which statement is true?
-3x-8+19
-3x-2=25
A. The equations have the same solution because the second equation can be obtained by subtracting 6 from both sides of the first equation.
B. The equations do not have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
C. The equations have the same solution because the second equation can be obtained by subtracting 19 from both sides of the first equation.
D. The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
Answers
If the equations are the same then the solution will be the same. Then the correct option is D.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The linear equations are given below.
-3x - 8 = 19 ...1
-3x - 2 = 25 ...2
Adding 6 on both sides in equation 1, then we have
-3x + 6 - 8 = 19 + 6
-3x - 2 = 25
The equations have the same solution because the second equation can be obtained by adding 6 to both sides of the first equation.
If the equations are the same then the solution will be the same.
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a line passes through the point (-4,8) and a slope of 5/4. write an equation in slope-intercept form for this line.
Answers
Answer:
8=5/4*-4+(b)
b=3
hence
y=(5/4)x+3
if (2x+5,7)=(7,y), find the value of x and y
Answers
[tex]\text{Given that,}~ (2x+5, 7)=(7,y)\\\\\text{So,}~ y = 7 ~ \text{and}~2x +5 = 7\\\\~~~~~~~~2x+ 5=7 \\\\\implies 2x = 7- 5 \\\\\implies 2x = 2\\\\\implies x = \dfrac 22 \\\\\implies x = 1\\\\\text{Hence,}~~ x = 1 ~ \text{and}~ y = 7[/tex]
What is the length of the two equal sides?
What is the length of the third side?
Answers
Answer:
the length of the third side is 21
Step-by-step explanation:
let P be the perimeter of the triangle
a the length of the first and second sides
b the length of the 3rd side
…………………………………………………
Then
P = a + a + b
= 2a + b
Where b = a + 6
Therefore
P = 2a + (a + 6)
= 3a + 6
We substitute the numbers we have into the equation:
51 = 3a + 6
⇔ 45 = 3a
⇔ a = 15
Since b = a + 6 then b = 15 + 6 = 21
in its Simpliest form, The Ratio of 825g to 1kg
Answers
Answer:
Step-by-step explanation:
1g = 0.001 kg.
82.5g = 0.001 x 82.5 kg
= 0.0825 kg
= 825/1000 kg
PLEASE HELP ALL GRADES IN TONIGHT OR ZERO! WILL GOVE BRANLIEST Statistical Measures
Use the following data to determine each statistical measure.
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
5. mean
6. median
8. mode
9. interquartile range (IQR)
Data Representations
Make each data display using the data from Problems 5-7.
11. Box plot
12. Dot plot
7. range
10. mean absolute deviation (MAD)
Answers
Answer:
5. Mean = 11.5
6. Median = 11
7. Range = 12
8. Mode = 9 and 11
9. Interquartile Range (IQR) = 5
10. Mean Absolute Deviation (MAD) = 2.8
11. Just Replace the Values just like the example image.
12. Just draw the min = 7 and max = 19 dot plot.
Step-by-step explanation:
Mean = (9+9+14+7+12+8+11+19+15+11)/10 = 115/10 = 11.5
Mean = 11.5
Median: 7,8,9,9,11,11,12,14,15,19
Median in the center = 11
Range: Big Number - Small Number
Range = 19 - 7 = 12
Range = 12
Mode = 9 and 11
Interquartile Range (IQR): Q3 - Q1
Q3 = 14 , Q1 = 9
IQR = 14 - 9 = 5
IQR = 5
Mean Absolute Deviation (MAD): ( |7 - 11.5|+ |8 - 11.5| + ... + |15-11.5| + |19-11.5| )/10
MAD = ( 4.5 + 3.5 + 2.5 + 2.5 + 0.5 + 0.5 + 0.5 + 2.5 + 3.5 + 7.5 )/10 = 28/10 = 2.8
MAD = 2.8
Can anyone PLEASE HELP ME ASAP!!!???
Answers
Answer:
the independent variable is s
the dependent one is m
hope this helps <3
dependent variable= m (meatballs)
What are the answers to these 3 problem 3 is how tall the tree was before it was broken
Answers
Question 2, is it a right-angled triangle?
And question 3, is it a right-angled triangle too?
I need help!!! Solve the equation 7= -10s -3
Answers
Answer:
s = -1
Step-by-step explanation:
7 = -10s -3 <== add 3 to both sides
+3 + 3
10 = -10s <== divide both sides by -10
/-10 /-10
-1 = s
Final answer: -1 = s or s = -1
Hope this helps!
Find the critical value tα/2 that corresponds to a 90% confidence level and a sample size of 7.
a) 1.943
b) 1.645
c) 3.707
d) 1.895
Answers
A
Step-by-step explanation:
hope it helps
Would the value of (12 - 4) = 4+1 change if the parentheses were removed? Explain.
Answers
Answer:
It would not
Step-by-step explanation:
(12-4)=4+1 would be 8=5
12-4=4+1 would also be 8=5
Please see question. Thanks
Answers
Answer:
Hello the answer would be A units up because my caluaitons Sense that it is A
A sum of $1200 is invested at an interest rate of 4.25% per
year.Find the amounts in the account after 3 years if interest
is compounded annually,
Answers
Answer:
$153
Step-by-step explanation:
4.25 times 3 = 12.75 so its 12.75 percentage of 1200. Which is $153.
Convert 85° to degrees Fahrenheit.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
Answers
answer :
[tex]C=\frac{265}{9}[/tex]
work:
[tex]F=85[/tex] °[tex]C[/tex]
[tex]F= 85[/tex] into [tex]C=\frac{5}{9}(F-32)[/tex]
[tex]C=\frac{5}{9}[/tex] x [tex](85-32)[/tex]
[tex]C=\frac{265}{9}[/tex]
help will mark Brainliest!!
Answers
Answer:
Subtract 4 from 17, then divide by 3.
Step-by-step explanation:
hope this helps =)
Analyze the diagram below and answer the question that follows how much larger is the value for d X then the value of y
Answers
[tex]\sf \large \boxed{110 ^\circ}[/tex]
The Image given shows (vertically opposite angles) :1st equation: x + 2y = 502nd equation: x - 2y = 130Make x the subject in first equation:x + 2y = 50x = 50 - 2yInsert this in second equation:(50 - 2y) - 2y = 13050 - 2y - 2y = 130-4y = 130 - 50-4y = 80y = -20Find the value of x:x = 50 - 2yx = 50 - 2(-20)x = 90Difference between them:x - (y)90 - (-20)110what is the slope of the line that passes through the point (9,4) and (3,9)?
Answers
Step-by-step explanation:
m is for slope of the line that passes through
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]m = \frac{9 - 4}{3 - 9} [/tex]
[tex]m = \frac{5}{ - 6} = - \frac{5}{6} [/tex]
Find cot B if csc ß= 3/5/5 and secß -3/2
Answers
Answer:
A) [tex]\displaystyle \frac{2\sqrt{5}}{5}[/tex]
Step-by-step explanation:
Since [tex]\csc\beta=\frac{1}{\sin\beta}[/tex], [tex]\sec\beta=\frac{1}{\cos\beta}[/tex], and [tex]\cot\beta=\frac{\cos\beta}{\sin\beta}[/tex], then [tex]\cot\beta=\frac{\csc\beta}{\sec\beta}[/tex]
This means that [tex]\displaystyle \cot\beta=\frac{-\frac{3\sqrt{5}}{5}}{-\frac{3}{2}}=\frac{-3\sqrt{5}}{5}*-\frac{2}{3}=\frac{2\sqrt{5}}{5}[/tex]
solve for h
A=7h
thank you
Answers
Answer:
The equation of the circle with the origin as centre and passing through the point A(-2;4)
Sketch the line passing through the pair of points and identify the line as having a positive slope, a negative slope, a zero slope, or an undefined slope. (6,2) and (1,2)
Answers
Answer:
line will be horizontal running through (0,2)
Step-by-step explanation:
6,2
1,2
2-2/1-6 = 0/-5 = 0 slope. 2 = 0x6+b, 2=b. line will be y=b , y=2.
The vertical number line in a Cartesian coordinate system is called a what?
Answers
Answer:
the X axis line which bisects the y axis with an angle of 90 degrees
help me pleaseeeeeeeeeeeeeeeeeeeeeeee
Answers
Three quarters of the sum of two numbers is 6 and half the difference of the two numbers is 1
Answers
Answer:
1 number= 4.5
2 number= 3.5
Step-by-step explanation:
Add this fractions. (It should be mixed number)
−5/6 + (−2 5/8)
Answers
Answer:
the awnser is -3 11/24
Step-by-step explanation:
Don't know
-2 5/7
Yan po answer ko inadd ko po by fraction
There are 4 green apples and 6 red apples in a bag. If you pick one apple without looking, the probability that the apple is green is and the probability that it is red is .
Answers
Answer:
you wold more likly get a red than a green
Step-by-step explanation:
pls answe asap and show work!
11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
-
=
Answers
Answer:
[tex](f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3[/tex]
Step-by-step explanation:
Given functions:
[tex]f(x)=x^3+3[/tex]
[tex]g(x)=2x^2+x-1[/tex]
Therefore:
[tex]\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}[/tex]
THERE ARE 25 CUB SCOUTS IN pACK 584 THE NUMBER OF SCOUTS IS 5 MORE THAN 5 TIMES THE NUMBER OF ADULT LEADERS FIND THE NUMBER OF ADULT LEADERS
Answers
The number of the adult leaders will be 4
What will be the number of adult leaders?A Number of cub scouts in troop 584 is = 25 .As per the statement given in the question "The number of scouts is 5 more than five times the number of adult leaders"
Number of scouts = 5(Number of adults) + 5
Here number of scouts = 25
Therefore, the equation will become as
25 = 5(Number of adults) + 5
5(Number of adults) = 25 - 5
5(Number of adults) = 20
(Number of adults) = 20/5=4
Hence the number of the adult leaders will be 4
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