Answers
Answer: c
Step-by-step explanation:
Elliptical graphs fail the vertical line test as they have same x and y values at some places. Thus elliptical graph is not a function
Related Questions
There are 840 tickets available for a concert.
1/7 of these tickets have not been sold.
How many of the tickets have been sold?
Answers
Answer:
720
Step-by-step explanation:
If 1/7 of the tickets have not been sold, 6/7 of the tickets have.
840 * 6/7
720
Is the following statements true or false?
Answers
Answer: False
Step-by-step explanation: The two lines do not overlap so they do not intercept.
Given:m angle 2+m angle 3 =180, angle 2 and angle 5 are supplementary
Prove:p l l q
Answers
The value of x is 29° and it's a supplementary angles.
What are supplementary angles?Supplementary angles simply means the angles that have a sum that is equal to 180°
In this case, we have been given two angles. It's important to equate them together. This will be illustrated as:
2x + 15 + 5x - 38 = 180
Collect like terms
7x - 23 = 180
Collect like terms
7x = 180 + 23
7x = 203
Divide
x = 203/7
x = 29°
The complete question is written below.
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Complete question
Given angle P is 2x + 15. and angle Q is 5x - 38. Prove that they are supplementary
1. -V64Name the set or sets or numbers to which each real number belongs?
Answers
1) an integer and a rational number
Explanation:
1) -√64 = -4
This is an integer.
Integers include natural numbers, the opposites of this numbers and zero.
-4 is a negative number and the opposite of the natural number 4
Hence -4 is an integer.
-4 can be written as a fraction:
-4 = -4/1
Hence, it is also a rational number
Ali is planning a party. He wants to buy some cakes and some sausage rolls. The cakes are sold in boxes. There are 12 cakes in each box. Each box of cakes costs £2.50. The sausage rolls are sold in packs. There are 8 sausage rolls in each pack. Each pack of sausage rolls costs £1.20. Ali wants to buy more than 60 cakes and more than 60 sausage rolls. He wants to buy exactly the same number of cakes as sausage rolls. What is the least amount of money Ali will have to pay?
Answers
The amount Ali will pay is £25.80
Define Multiples
A number that can be divided by another number without a remainder.
Multiples of 8 and 12
8 : 8 , 16, 24, 32, 40, 48, 56, 64, 72
12 : 12, 24, 36, 48, 60, 72
common element is 72
72 cakes cost for 12 cakes in each box = 72/12
= 6 packs
cost of 6 packs = 6 * £2.50 = £15
72 sausage rolls for 8 sausage in each box = 72 / 8
= 9 packs
cost of 9 packs = 9 * £1.20 = £10.80
Total cost will be = £15 + £10.80 = £25.80
Hence, the amount Ali will pay is £25.80
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Use substitution to find the solution to the linear/quadratic system. y - 2x^2 = 4x + 1 y = 14x - 7 Blank 1: (___7) Blank 2: (___49) Blank # 1:Blank # 2:
Answers
The given system is
[tex]\mleft\{\begin{aligned}y-2x^2=4x+1 \\ y=14x-7\end{aligned}\mright.[/tex]Let's replace the second equation with the first one.
[tex]14x-7-2x^2=4x+1[/tex]Now, we solve the quadratic equation.
[tex]\begin{gathered} 14x-7-2x^2-4x-1=0 \\ -2x^2+10x-8=0 \\ -2(x^2-5x+4)=0 \\ x^2-5x+4=0 \end{gathered}[/tex]Then, we have to find two numbers whose product is 4 and whose sum is 5. Those numbers are 4 and 1.
[tex]\begin{gathered} (x-4)(x-1)=0 \\ x_1=4 \\ x_2=1 \end{gathered}[/tex]We use these values to find y.
[tex]\begin{gathered} y_1=14\cdot4-7=49 \\ y_2=14\cdot1-7=7 \end{gathered}[/tex]Hence, the solutions to the given system are (4,49) and (1,7).The ratio 13 to X is equivalent to the ratio 104 to y. Which equation represents y in terms of X?
Answers
Answer:
y=8X
Explanation:
The ratio 13 to X = 13:X
The ratio 104 to y = 104:y
If they are equivalent, we have that:
[tex]13\colon X=104\colon y[/tex]We write the ratios in fraction form.
[tex]\frac{13}{X}=\frac{104}{y}[/tex]We then make y the subject of the equation.
[tex]\begin{gathered} 13y=104X \\ y=\frac{104X}{13} \end{gathered}[/tex]We can simplify further to get:
[tex]\begin{gathered} y=\frac{13\times8X}{13} \\ y=8X \end{gathered}[/tex]This is the equation that represents y in terms of X.
right answer gets brainlist pls help asap
Answers
Explanation:
There are many ways. Easiest one is that u can literally count how many units between -7 and -1. Your answer is gonna be six units
Another way is by using taking the absolute value of their difference so you can say
|-1-(-7)| or |-7-(-1)| which simplifies to |6| and |-6| and this both are going to equal 6.
Answer:
6 units
Step-by-step explanation:
count the units between the two points
2g + (g + 5) >= 6g - 10 whats the solution set?
Answers
Answer: g ≤ 5
Step-by-step explanation: 2g + (g + 5) >= 6g - 10 ⇒ g ≤ 5
Evaluate the following quotient. Leave your answer in scientific notation(5.44 x 10-18) + (6.8 x 10-))Answer
Answers
Given:
[tex](5.44\times10^{-18})\div(6.8\times10^{-9})[/tex]It can be written as follows.
[tex](5.44\times10^{-18})\div(6.8\times10^{-9})=\frac{5.44\times10^{-18}}{6.8\times10^{-9}}[/tex][tex]\text{Use }\frac{1}{10^{-9}}=10^9.[/tex][tex]=\frac{5.44\times10^{-18}\times10^9}{6.8^{}}[/tex][tex]=\frac{5.44\times10^{-18+9}^{}}{6.8^{}}[/tex][tex]=\frac{5.44\times10^{-9}}{6.8^{}}[/tex]Dividing 5.44 by 6.8, we get
[tex]=0.8\times10^{-9}^{}[/tex][tex](5.44\times10^{-18})\div(6.8\times10^{-9})=0.8\times10^{-9}[/tex]
Hence the quotient is
[tex]0.8\times10^{-9}[/tex]PLEASE HELP I AM GROUNDED AND NEED A BETTER GEOMETRY GRADE ASAP
Answers
Answer:
w = 9
Step-by-step explanation:
This is a 90-degree angle, so if you add both equations together, they will equal 90.
First, write the equation:
(4w - 7) + (7w - 2) = 90
Then you solve for w:
- add like factors
11w - 9 = 90
- add 9 to both sides
11w = 99
- divide both sides by 11
w = 9
So, the value of w is 9.
To check, plug your answer into the equation to check if it's true:
(4(9) - 7) + (7(9) - 2) = 90
(36-7) + (63-2) = 90
29 + 61 = 90
90 = 90
PLSSSSSS ANSWER SOON!!!!!!!
There is a pic
solve for P
Answers
Answer:
48x
Step-by-step explanation:
15+2+7+15+2+7=48 + x = 48x
Hope this helps!
F G Name a pair of overlapping congruent triangles in the diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL. I H AFHS AGHI by SAS. AFIH S AHGI by SAS. AFIH = AGHI by SSS AFIH AGHI by HL.
Answers
In the two triangles FIH and GHI
IH is a common side
FI = GH
[tex]m\angle I=m\angle H=90[/tex]The angles are between the equal sides
Then the two triangles are congruent by SAS postulate
The answer is A
Write the expression as a monomial in standard form. -0.01a^4*(-10a^5)^3
Answers
The monomial -0.01a^4*(-10a^5)^3 as a single expression is 10a^19
How to rewrite the expression?The expression is given as
-0.01a^4*(-10a^5)^3
Evaluate the expression in the bracket
So, we have the following equation
-0.01a^4*(-10a^5)^3 = -0.01a^4 * (-1000a^15)
Next, we remove the bracket
So, we have the following equation
-0.01a^4*(-10a^5)^3 = 0.01a^4 * 1000a^15
Evaluate the products in the above equation
So, we have
-0.01a^4*(-10a^5)^3 = 10a^19
Hence, the equivalent expression is 10a^19
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A soccer ball is kicked on a field and follows the path of a parabola. It reaches a maximum height of 80 feet above the ground after traveling 160 feet from where it was kicited.a) Draw a diagram to represent this situation.b) Write an exact equation in vertex form to model this situation.c) Suppose there is a 30 feet tree 280 feet from where the ball was kicked. Will the ball sail over the tree? If yes, by how much? If not, by how much?
Answers
a) We will draw the situation.
b) Considering the theory, the vertex of a parabola is represented in (h,k) where h is the x-coordinate, in this case, if our parabola has an amplitude of x=320feet then h=320/2=160feet, and k is the highest y-coordinate 80 feet. So the equation is:
[tex]\begin{gathered} y=a(x-h)^2+k \\ y=a(x-160)^2+80 \end{gathered}[/tex]We have to know the value for a, so we will use a point to replace it in the equation and with that, we will know the value, so in x=0 the y-value is 0 too so:
[tex]\begin{gathered} 0=a(0-160)^2+80 \\ a(-160)^2=-80 \\ a=-\frac{80}{25600}=-\frac{1}{320} \end{gathered}[/tex]So the equation is:
[tex]y=-\frac{1}{320}(x-160)^2+80[/tex]c. To know the answer to this question we will have to replace x=280feet with the y value we will know if at the moment the ball can go over the tree or if it would crash into it.
[tex]\begin{gathered} y=-\frac{1}{320}(280-160)^2+80 \\ y=35feet \end{gathered}[/tex]At that point, the ball would be 35 feet up so if it could pass over the tree 5 feet higher.
A line has a slope of -2 and includes the points (8, 10) and (10, a). What is the value of a?
Answers
Answer: 6
Step-by-step explanation:
m = -4 / 2 = -2 / 1 = -2
Divide. Enter the correct answer.
17+2=
Answers
8x^{3}+26x^{2}+19x+38x
3
+26x
2
+19x+3 is divided by 4x+34x+3.
Answers
Applying synthetic division, the quotient between 8x³ + 26x² + 19x + 3 by 4x + 3 is:
2x² + 5x + 1.
Synthetic division algorithmIn the synthetic division algorithm, the coefficients of a polynomial are each divided by a value.This divisor is the zero of the divided polynomial, which goes into the far left box.In this context of this problem, the coefficients of the polynomial 8x³ + 26x² + 19x + 3 are given as follows:
8, 26, 19 and 3.
The divisor is found as follows:
4x + 3 = 0
4x = -3
x = -3/4
x = -0.75.
The resulting coefficients of the quotient are given as follows:
8, 20, 4 and remainder of 0.
Hence the quotient is:
8x² + 20x + 4.
Which can be simplified as:
2x² + 5x + 1.
The first coefficient of the polynomial, of 8, was moved down, the multiplied by -0.75 and added to 26, resulting in 20. Then the same procedure was done with 20(multiplied with -0.75 and added with the next coefficient of 19), until the last coefficient of 3.
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Colin has 29,820 in a saving account that earn 7% interest per year how much will he have in four years
Answers
EXPLANATION
Since the initial amount of money was of $29,820, and the account earns interest rate by a reason of 7% per year, we can use the simple interest rate equation as shown as follows:
[tex]Simple\text{ Interest = P}\cdot r\cdot t[/tex]Where P=Principal= 29,820, r=rate in decimal form=7/100=0.07 , t=time in years=4,
Plugging in the numbers into the expression:
[tex]\text{Interest}=29,820\cdot0.07\cdot4[/tex]Multiplying numbers:
[tex]\text{Interest}=8,349[/tex]Adding the Interest to the Initial Capital: 29,820+8,349 = 38,169
In conclusion, Colin will have $38,169 after 4 years
Part A Write the multiplication expression shown by the model. Do not solve the problem.
Explain the expression written in Part B. Include the final product and how it is shown with the model.
Answers
The multiplication model represented by the image is given as follows:
12(4 x 10) + (3 x 10) + (6 x 10) + 18.
What is a multiplication operation?A multiplication operation is equivalent to consecutive additions.
For the green squares, the following addition is obtained:
10 + 10 + 10 + 10 + 6.
(which is the number of squares painted green).
Considering a multiplication with consecutive additions, it is written as follows:
4 x 10 + 6.
For the red squares, the expression is:
4 + 4 x 10 + 2 = 4 x 10 + 6.
For the blue squares, the expression is:
8 + 3 x 10 + 8
3 x 10 + 16
For the white squares, the expression is:
2 + 6 x 10
Hence the total model is calculated as follows:
4 x 10 + 6 + 4 x 10 + 6 + 3 x 10 + 16 + 2 + 6 x 10
(4 x 10)(6 + 6) + (3 x 10) + (6 x 10) + 18.
12(4 x 10) + (3 x 10) + (6 x 10) + 18.
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How to factorize this?
[tex]5x {}^{3} - 9x { }^{2} - 17x - 3[/tex]
Answers
The expression when factorized is (5x + 1)(x + 1)(x - 3)
How to factorize the expression?From the question, the expression is given as
5x³ - 9x² - 17x - 3
Express 9x² as 5x² - 15x² + x²
So, we have
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² - 17x - 3
Express -17x as x - 3x - 15x
So, we have
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² + x² + x - 3x - 15x - 3
Rearrange the terms
5x³ - 9x² - 17x - 3 = 5x³ + 5x² - 15x² - 15x + x² + x - 3x - 15x - 3
Group the terms in 4's
5x³ - 9x² - 17x - 3 = (5x³ + 5x² - 15x² - 15x) + (x² + x - 3x - 15x - 3)
Factorize each group
5x³ - 9x² - 17x - 3 = 5x(x² + x - 3x - 3) + 1(x² + x - 3x - 3)
So, we have
5x³ - 9x² - 17x - 3 = (5x + 1)(x² + x - 3x - 3)
Factorize x² + x - 3x - 3
5x³ - 9x² - 17x - 3 = (5x + 1)(x(x - 3) + 1(x - 3))
So, we have
5x³ - 9x² - 17x - 3 = (5x + 1)(x + 1)(x - 3)
Hence, the factorized expression is (5x + 1)(x + 1)(x - 3)
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a linear function has the rule shown
input: a number
output: 8 less than 3 times x
which equation represents this rule
(100 POINTS!!!)
Answers
I’m pretty sure
write the following number in standard form: nine hundred twenty-eight
Answers
In this kind of problem is better to work backwards. We have the number nine hundred twenty-eigh.
This means that the two last digits are a 2 and a 8, becasue we have a "twenty-eight" = 28
And then, we have "nine hundred" = 900
The number whole, then, is:
[tex]928[/tex]Please finish the question provided with a screen shot.
Answers
Answer:
Angle VSR + Angle SRU = 180° (corresponding angles, sum of angles on a straight line = 180°)
(5x + 4) + (44 + x) = 180
6x + 48 = 180
6x = 132
x = 22
Please solve the following. 12 divided by 3 . 5 - 4 to the power of 2
Answers
Answer:
44
:)
Step-by-step explanation:
find mean propertion between 5 and 125
Answers
Help please I will give brainliest
Answers
The unknown angle in the triangle is as follows;
∠H = 38 degrees.How to find angles in a triangle?The angle H can be found using the exterior angle theorem.
The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Hence,
∠DFG = ∠G + ∠H
∠DFG = 14x + 1
∠G = 89°
∠H = 5x - 7
14x + 1 = 89 + 5x - 7
14x + 1 = 89 - 7 + 5x
14x - 5x = 89 - 7 - 1
9x = 81
divide both sides by 9
x = 81 / 9
x = 9
Therefore,
∠H = 5(9) - 7 = 45 - 7 = 38 degrees.
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(a) Find an angle between 0° and 360° that is coterminal with 600°.(b) Find an angle between 0 and 2n that is coterminal withЗп2
Answers
Coterminal Angles are angles that share the same initial side and terminal sides.
Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
QUESTION A
The angle is given as 600°.
To find the coterminal angle between 0° and 360°, we subtract 360° from the angle.
Therefore,
[tex]\text{Coterminal angle = 600 - 360 = 240}\degree[/tex]The coterminal angle is 240°.
QUESTION B
The angle is given as
[tex]-\frac{3\pi}{2}[/tex]To get an angle between 0 and 2π, we will add 2π to it.
Hence, we have
[tex]\begin{gathered} \text{Coterminal angle = 2}\pi-\frac{3\pi}{2} \\ =\frac{\pi}{2} \end{gathered}[/tex]The coterminal angle is π/2.
x^2-8x+9
find x using the quadratic formula
Answers
Answer:
[tex]x = 4 \pm \sqrt7[/tex]
Step-by-step explanation:
Hello!
Standard form of a Quadratic: [tex]ax^2 + bx + c= 0[/tex]
Given the Equation: [tex]x^2 -8x+9=0[/tex]
a = 1b = -8c = 9Quadratic Formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\[/tex]
Solve by substituting the values into the Quadratic Formula.
Solve for x[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\[/tex][tex]x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(1)(9)}}{2(1)}\\[/tex][tex]x = \frac{8 \pm \sqrt{64 - 36}}{2}\\[/tex][tex]x = \frac{8 \pm \sqrt{28}}{2}\\[/tex][tex]x = \frac{8 \pm 2\sqrt{7}}{2}\\[/tex][tex]x = 4 \pm \sqrt7[/tex]The solution to the quadratic is [tex]x = 4 \pm \sqrt7[/tex].
2/3×4/5 by using fraction bar step bystep
Answers
Answer: 8/15
Step-by-step explanation:
2/3 x 4/5, multiply numerators and denominators
8/15 or 0.533
