5. A. How do we know if an ordered pair is an x-intercept? Explain with specific detail.B. How do we know if an ordered pair is a y-intercept? Explain with specific detail.C. In the table, which order pair is the x-intercept, and which is the y-intercept?х4XNOу-10-24123
Answers
a) x-intercept: the y coordinate will be zero while the x coordinate will have a value different from zero.
b) y-intercept: the x coordinate will have a value of zero while the y-coordinate will have a value that is non-zero.
c) The x-intercept: (2, 0)
The y-intercept: (0, 1)
Explanation:5) a) x-intercept is the value of x when the value of y is zero.
To determine if an ordered pair is an x-intercept, the y coordinate will be zero while the x coordinate will have a value different from zero.
b) y-intercept is the value of y when x is equal to zero.
To determine if an ordered pair is a y-intercept, the x coordinate will have a value of zero while the y-coordinate will have a value that is non-zero.
c) To get the x-intercept: From the table, we will check for the of x when the value of y = 0
The value of y = 0 when x = 2
The ordered pair: (x, y)
The x-intercept: (2, 0)
To get the y-intercept: we will check for the value of y when x = 0
The value of x = 0 when y = 1
The ordered pair: (x, y)
The y-intercept: (0, 1)
Related Questions
Write an equation in slope-intercept form of the line that passes through the point (-6,-5) with slope 6.A. y = -5 + 6(2 + 6)B.y=6x + 31c. y - 5 = 6(x+6)D. 6x – y + 31 =0
Answers
Using the Point-Slope Formula :
[tex]y-y_1=m(x-x_1)[/tex]where m is the slope and (x1, y1) is the point on the line
From the given problem, m = 6 and the point is (-6, -5)
Subsitute the given to the formula :
[tex]\begin{gathered} y-(-5)=6\lbrack x-(-6)\rbrack \\ y+5=6(x+6) \\ y+5=6x+36 \\ y=6x+36-5 \\ y=6x+31 \end{gathered}[/tex]The answer is Choice B. y = 6x + 31
Find the 29th term of an arithmetic sequence with a1 = 2 and d =5
Answers
Arithmetic Sequence is a sequence of numbers such that the difference between each number is constant. The formula for the arithmetic sequence is given by;
[tex]a_n=a_1+(n-1)d[/tex]where An is the last term
A₁ is the first term
n is the number of terms (or number in the sequence)
d is the common difference
In our problem we are given the first term (a₁) = 2, a common difference of 5 (d = 5), and the number of terms which is 29 (n = 29).
Now in order to find the 29th term of the sequence (a₂₉), we just need to follow the formula;
[tex]\begin{gathered} a_{29}=a_1+(n-1)d_{} \\ a_{29}=2_{}+(29-1)5 \\ a_{29}=2_{}+(28)5 \\ a_{29}=2_{}+140 \\ a_{29}=142 \end{gathered}[/tex]Therefore the 29th term of the arithmetic sequence is 142.
Formula: an=a1 + (n-1) x d
a1=2
d=5
n=29
plug in the values: an= 2 + (29-1) x 5 = 142
SO THE ANSWER IS : 142
Solve each inequality.
1/2-2p>2/3
Answers
Answer:
our house and the only way I can see the only way I can see the only u new friends at the only way I can see the 77
help meeeeeeeeeeeeeeeeeeeeeee
thank you
Answers
The height of the object based on the information is 1963 feet.
How to calculate the height?It should be noted that a function is important to show the relationship between the variables given in the data.
In this case, the function given for the height of the object is given as:
h = 16t² + 1899
where t = time
When the time is 2 seconds, the height will be:
h = 16t² + 1899
h = 16(2)² + 1899
h = 64 + 1899
h = 1963
The height is 1963 feet.
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Translate "the sum of m and 2.33 multiplied by s is 52.25" into an algebraic equation. Do not solve the equation.
Answers
Answer:
[tex](m + 2.33) \times s = 52.25[/tex]
:)
he two-way table shows the number of students in a school who have rabbits and/or birds as pets:Have RabbitsDo Not Have RabbitsTotalHave Birds182240Do Not Have Birds253560Total4357100How many more students have rabbits than birds? (4 points)372225
Answers
The numbers we want to compare are ther number of students that have rabbits and the number of students that have birds.
The number of students that have rabbits is in the column "Have Rabbits" and, since we want all of them, we get the value from the row "Total", so the number is 43.
Similarly, the number of students that have birds is in the row "Have Birds" and, since we want all of them, we pick the number in column "Total", which is 40.
So, the number of students that have rabbits is 43 and the number of students that have birds is 40. Since 43 is 3 more than 40, there are 3 more students that have rabbits that students that have birds.
given the function. calculate the following values.
Answers
Answer:
[tex]5, \sqrt{2}, 10[/tex]
Step-by-step explanation:
[tex]x=-7 \implies x<0 \implies f(-7)=5 \\ \\ x=0 \implies x \geq 0 \implies f(0)=\sqrt{2(0)^2+2}=\sqrt{2} \\ \\ x=7 \implies x \geq 0 \implies f(7)=\sqrt{2(7)^2+2}=10[/tex]
What’s the correct answer answer asap for brainlist
Answers
Answer: its protein channels
Step-by-step explanation:
Solve the equation using the quadratic formula. 2y^2 + 4y + 1 = 0
Answers
Answer:
The solution to the quadratic equation is;
[tex]\begin{gathered} y=-1+\frac{\sqrt[]{2}}{2} \\ \text{and} \\ y=-1-\frac{\sqrt[]{2}}{2} \\ y=-1+\frac{\sqrt[]{2}}{2},-1-\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]Explanation:
Given the quadratic equation;
[tex]2y^2+4y+1=0[/tex]Applying quadratic formula;
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Substituting the coefficients of the quadratic equation;
[tex]\begin{gathered} y=\frac{-4\pm\sqrt[]{4^2-4(2)(1)}}{2(2)} \\ y=\frac{-4\pm\sqrt[]{16^{}-8}}{4} \\ y=\frac{-4\pm\sqrt[]{8}}{4} \\ y=\frac{-4\pm2\sqrt[]{2}}{4} \\ y=\frac{-2\pm\sqrt[]{2}}{2} \end{gathered}[/tex]Therefore, the solution to the quadratic equation is;
[tex]\begin{gathered} y=-1+\frac{\sqrt[]{2}}{2} \\ \text{and} \\ y=-1-\frac{\sqrt[]{2}}{2} \\ y=-1+\frac{\sqrt[]{2}}{2},-1-\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]In the diagram below, lines k and intersect lines
m and n at points A, B, C, and D
Which statement is sufficient to prove ABCD is a
parallelogram?
1) Angles 1 and 3
2)angles 4 and 7
3)angles 2 and 5, angles 5 and 7
4) angles 1 and 3, angles 3 and 4
Answers
Answer:
actually c is the right answer
Angles 2 = angle 5, and angles 5 = angle 7. Option 3 is correct.
What is quadrilateral?A quadrilateral is a four-sided shape as given in the picture in question.
What is the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
In the diagram,
Lines k and intersect lines m and n at points A, B, C, and D,
So,
For ABCD, proved to be a parallel gram, ,
Angles 2 = angle 5, and angles 5 = angle 7
Thus, Angles 2 = angle 5, and angles 5 = angle 7. Option 3 is correct.
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graphing problem need help with it
Answers
Answer:
(2,-3)
Step-by-step explanation:
I used desmos to graph and find point of interception
y=5x+50 in standard form
Answers
Answer:
-5x + y = 50
Step-by-step explanation:
to formula for standard form is Ax + By = C
the formula (y=5x+50) is in slope-intercept form, which is y=mx+b
to write (y=5x+50) in standard form, move the 'mx' (which in this case is 5x) to the other side of the '=' or also known as the equation:
y = 5x + 50
y - 5x = 5x - 5x + 50
y - 5x = 50
(here, we subtracted 5x on both sides of the equation to 'move it')
Ax = -5x
By = 1y = y
C = 50
so, to write it in the standard form:
-5x + y = 50
Consider the following inequality:2(3z - 4) > - 2z + 16Step 1 of 2: Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.
Answers
Let's solve the inequality:
[tex]\begin{gathered} 2(3z-4)\ge-2z+16 \\ 6z-8\ge-2z+16 \\ 6z+2z\ge16+8 \\ 8z\ge24 \\ z\ge\frac{24}{8} \\ z\ge3 \end{gathered}[/tex]Therefore the solution of the inequality is:
[tex]z\ge3[/tex]Hi can someone please explain this?
Image is attached
Answers
Answer:
B
Step-by-step explanation:
Since triangles BCD and PQR are similar, we can find BD through the three proportional sides. Line BD is to PR and option B is the only answer where BD and PR are both numerators/denominators in this case the denominators of the two fractions. Hope this helps!
Simplify: ✓- 72 O A - 6iva O B. 6iv 2 O c. 5i/3 OD. – 517 3
Answers
We want to simplify the following expression
[tex]\sqrt[]{\text{ -72}}[/tex]To do so we will use the following properties
[tex]\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}[/tex]and
[tex]\sqrt[]{\text{ -1}}=i[/tex]So we have that
[tex]\sqrt[]{\text{ -72}}=\sqrt[]{\text{ -1}\cdot72}=\sqrt[]{\text{ -1}}\cdot\sqrt[]{72}=\sqrt[]{72}i=\sqrt[]{8\cdot9}i=\sqrt[]{8}\cdot\sqrt[]{9}i=\pm3\cdot\sqrt[]{8}i=\pm3\cdot\sqrt[]{4\cdot2}i=\pm3\sqrt[]{4}\sqrt[]{2}i[/tex]which is equal to
[tex]\pm3\cdot2\sqrt[]{2}i=\pm6\sqrt[]{2}i[/tex]so options A and B are correct
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answers
The value of x in the given quadratic equation (x - 3)² = 49 is; x = 10
How to solve Quadratic equations?
The general form of a quadratic equation is given as;
ax² + bx + c = 0
The quadratic formula that is used to solve this is given by;
x = [-b ± √(b² - 4ac)]/(2a)
Now, we are given the quadratic equation as;
(x - 3)² = 49
Taking the square root of both sides gives us;
x - 3 = √49
x - 3 = 7
Add 3 to both sides to get;
x - 3 + 3 = 7 + 3
x = 10
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sketch one cycle of y= -3 sin θ
Answers
Answer:
Explanation:
One cycle of the function runs from 0 to 2 pi.
To sketch one cycle one -3 sin θ, we first plot find some points that lie on it and then plot them to sketch the graph.
We evaluate the function at 0, pi/2, and 2pi.
[tex]\begin{gathered} y(0)=-3\sin 0=0 \\ y(\frac{\pi}{2})=-3\sin \frac{\pi}{2}=-3 \\ y(2\pi)=-3\sin 2\pi=0 \end{gathered}[/tex]We now sketch the three points we found above.
Hence, we get the graph of the function for one cycle.
If a car will go 108 miles on a 6 gallon of gasoline in city driving. What is the rate in miles per gallon.
Answers
To find the rate in miles per gallon, divide the number of miles by the number of gallons of gasoline:
[tex]\frac{108\; \text{miles}}{6\; \text{gallons}}[/tex]Reduce the fraction by 6:
[tex]\frac{108}{6}=18\text{ miles per gallon}[/tex]The rate in miles per gallon is 18.
on Monday a local hamburger shop sold a combined total of 375 hamburgers and cheese burgers. the number of cheeseburgers sold was two times the number of hamburgers sold.how many hamburgers were sold?
Answers
Answer =
Equations:
Quantity Eq. : h + c = 375
Quantity Eq. : c = 3h
----------------------------
Substitute to solve for "h":
h + 2h = 375
3h = 375
h = 125 (# of hamburgers)
----------
Substitute to solve for "c":
125 + c = 375
c = 250 (# of cheeseburgers)
solve 8,961 ÷ 29 in standard algorithm.
500 points
Answers
The value of the quotient expression 8,961 ÷ 29 = 309
How to determine the quotient of the numbers?The numbers are given as
8961 and 29
So, we have
8,961 ÷ 29
By using the standard algorithm i.e. the partial quotient method, we have the following equation
8,961 ÷ 29 = (8700 + 261)/29
Open the bracket
So, we have the following equation
8,961 ÷ 29 = 8700/19 + 261/29
Evaluate the quotients
So, we have the following equation
8,961 ÷ 29 = 8700/19 + 261/29
Next, we evaluate
So, we have the following equation
8,961 ÷ 29 = 309
This means that the quotient is 309
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Answer:
Step-by-step explanation:
309
(1 point)
Use the complete the square method to find the vertex of the following parabola:
y = x² + 16x +67
Step 1: Separate non-x-terms from x-terms
Manipulate the equation until all terms containing x are on one side of the equation, and all terms not containing x are
on the opposite side:
Step 2: Identify the value that completes the square
Step 3: Complete the Square
Step 4: Factor and solve for y
Step 5: Identify the vertex
= x² + 16x
Answers
Answer:
32
Step-by-step explanation:
A store has clearance items that have been marked down by 40%. They are having a sale, advertising an additional 60% off clearance items. What percent of the original price do you end up paying?
Answers
Answer:
24 percent
Step-by-step explanation:
Let's say that there is a 100-dollar item. Mark that by 40 and you get 60. Marking that by 60 again gives you 24 dollars. 24 dollars is 24 percent of 100, so you only pay 24 percent of the original price.
3 The table shows the average mass, in kilograms, of different sizes of cars and trucks. Size Small Car Large Car Large Truck Average Mass (kilograms) 1,354 1,985 2,460 Parta
Answers
The average mass of the large truck is 2460 kg and the average mass of the small car is 1354 kg.
Based on the given data, the mass of the large truck is 1106 kg.
Now, rounding off to the nearest hundred, the average mass of the larger truck is 2500 kg and the average mass of the small car is 1400 kg.
So, the larger truck is 1100 kg heavier than than the smaller car.
what percent of 51 is 127.5?20.67 is 42.5% of what?
Answers
a) We have to find what percent of 51 is 127.5.
As 127.5 is larger than 51, we expect a percentage larger than 100%.
We can find the percentage by dividing the part, 127.5, by the total, 51, and multiplying by 100%:
[tex]\frac{127.5}{51}\cdot100\%=2.5\cdot100\%=250\%[/tex]b) We have to find the value x of which 42.5% is equal to 20.67.
We can write this as:
[tex]\begin{gathered} x\cdot\frac{42.5}{100}=20.67 \\ x\cdot0.425=20.67 \\ x=\frac{20.67}{0.425} \\ x\approx48.63 \end{gathered}[/tex]Answer:
a) 127.5 is 250% of 51.
b) 20.67 is 42.5% of 48.63.
for each pair of equations decide whether the given value of x is a solution to one or both equations
Answers
Answers:
1. x = 2 is solution of both equations.
2. x = 3 is a solution of equation b.
3. x = -2 is solution of both equations.
4. x = -1 is solution of both equations.
5. x = -5 is solution of both equations.
Explanation:
To know if the value of x is a solution, we need to replace x with the given value. So:
1. Repalcing x by 2, we get:
a. x ( 2 + 3) = 10
2 ( 5) = 10
10 = 10
b. 2x + 3x = 10
2(2) + 3(2) = 10
4 + 6 = 10
10 = 10
The equality is true in both cases, so x = 2 is solution of both equations.
2. Replacing x by 3, we get:
a. x - 4 = 1
3 - 4 = 1
- 1 = 1
b. 4 - x = 1
4 - 3 = 1
1 = 1
Since -1 and 1 are distintc, x = 3 is a solution of equation b.
3. Replacing x by -2, we get:
a. 7x = -14
7(-2) = -14
- 14 = - 14
b. x(14) = - 28
(-2)(14) = - 28
- 28 = - 28
So, x = -2 is solution of both equations.
4. Replacing x by -1, we get:
a. x + 3 = 2
-1 + 3 = 2
2 = 2
b. 3 + x = 2
3 + (-1) = 2
2 = 2
So, x = -1 is solution of both equations.
5. Replacing x by -5, we get:
a. 3 - x = 8
3 - ( - 5) = 8
3 + 5 = 8
8 = 8
b. 5 - x = 10
5 - ( - 5) = 10
5 + 5 = 10
10 = 10
So, x = -5 is solution of both equations.
a cone has a radius of 4 cm and a height of 3 cm what is the volume of the cone to the nearest tenth of a cubic centimeter?A. 12.6 B. 25.1 C. 50.2 D. 150.7
Answers
Solve for x using the "Quadratic Formula". You MUST show every level of work (like you saw in the lesson) in order to receive full credit.
3x^2-5x+1
Answers
The solution to the quadratic equation 3x² - 5x + 1 using quadratic formula is; x = (5 + √13)/6 or (5 - √13)/6
How to use the quadratic formula?
The general form of a quadratic equation is given as;
ax² + bx + c = 0
The quadratic formula that is used to solve this is given by;
x = [-b ± √(b² - 4ac)]/(2a)
Now, we are given the quadratic equation as;
3x² - 5x + 1
Thus, using quadratic formula we have;
x = [-(-5) ± √((-5)² - (4 * 3 * 1))]/(2 * 3)
x = [5 ± √(25 - 12)]/6
x = (5 ± √13)/6
x = (5 + √13)/6 or (5 - √13)/6
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Determine all solutions to the equation radical 2 times cosine 2 times x equals sine squared x plus cosine squared x on the interval [0, 2π).
Answers
Given
The equation,
[tex]\sqrt{2}\cos2x=\sin^2x+\cos^2x[/tex]To determine all the solutions in the interval [0, 2π).
Explanation:
It is given that,
[tex]\sqrt{2}\cos2x=\sin^2x+\cos^2x[/tex]Since
[tex]\sin^2x+\cos^2x=1[/tex]Then,
[tex]\begin{gathered} \sqrt{2}\cos2x=\sin^2x+\cos^2x \\ \Rightarrow\cos2x=\frac{1}{\sqrt{2}} \\ \Rightarrow2x=\cos^{-1}(\frac{1}{\sqrt{2}}) \\ \Rightarrow2x=\frac{\pi}{4} \\ \Rightarrow x=\frac{\pi}{8} \end{gathered}[/tex]Hence, the solutions of the given equation in [0, 2π) is,
[tex]a)\text{ }x=\frac{\pi}{8},\frac{7\pi}{8},\frac{9\pi}{8},\frac{15\pi}{8}[/tex]
5(2x − 4)= 10x − 20Solve for x
Answers
5(2x − 4)= 10x − 20
5*2x - 5*4 = 10x - 20
10x - 20 = 10x - 20
10x = 10x
Any real value attributed to x satisfies this equation. Therefore, there are infinite solutions to this equation.
Answer: X= (-∞,∞)
Step-by-step explanation:
Simplifying
5(2x + -4) = 10x + 20
Reorder the terms:
5(-4 + 2x) = 10x + 20
(-4 * 5 + 2x * 5) = 10x + 20
(-20 + 10x) = 10x + 20
Reorder the terms:
-20 + 10x = 20 + 10x
Add '-10x' to each side of the equation.
-20 + 10x + -10x = 20 + 10x + -10x
Combine like terms: 10x + -10x = 0
-20 + 0 = 20 + 10x + -10x
-20 = 20 + 10x + -10x
Combine like terms: 10x + -10x = 0
-20 = 20 + 0
-20 = 20
Solving
-20 = 20
A brick has dimensions of110. cm x 655 cm x 1330 cm.What is the volume of the brick in cubic meters?
Answers
Answer: We have to find the volume of the brick, the formula for the volume is as follows:
[tex]V=l\times w\times h\Rightarrow(1)[/tex]Identifying the known variables and plugging in the equation (1) gives the following answer:
[tex]\begin{gathered} l=110cm \\ w=655cm \\ h=1330cm \end{gathered}[/tex]The volume therefore is:
[tex]\begin{gathered} V=(110cm)\times(655cm)\times(1330cm) \\ V=95,826,500cm^3 \end{gathered}[/tex]