tell whether each point is on the graph of f(x)=|x|.If it is, give the coordinates of another point with the same y value.
1.(11,11)
2.(-2.3,-2.3)
3.(0,1)
4.(15,-15)
5.(-8,8)
6.(1,0)
Answers
The coordinates of that other point are: (5,5) . The x-coordinate gives us the distance of a point from the vertical axis, that is, the y-axis.
What is meant by coordinates?The x-coordinate gives us the distance of a point from the vertical axis, that is, the y-axis. Another name for the x-coordinate is abscissa. The y-coordinate indicates how far a point is from the x-axis, or the horizontal axis. The y-coordinate is also called the ordinate.
Notice that |x| means the absolute value of x. So, the function:
f(x) = IxI
takes x to the number with the same magnitude, but with a positive sign.
Thus,
f(-5) = I - 5I = 5
Therefore, the point (-5,5) is on the graph of f(x).
Now, we need to find another point with a y-value of 5.
Observe the graph of f(x):
Notice that another point with a y-value equal to 5 is (5, 5) because
f(5) = I5I = 5
Hence, the coordinates of that other point are: (5,5).
The complete question is : Tell whether the point (-5,5) is on the graph of f(x) = |x|. If it is, give the coordinates of another point with the same y-value.
To learn more about coordinates refer to:
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Related Questions
Find the missing side, round to the nearest tenth.
15
х
30*
Answers
Answer:
45
Step-by-step explanation:
15*30 is 450 rounded down is 45
A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point.
Answers
Answer:
the answer is 250
Step-by-step explanation:
Answer:
10.036
Step-by-step explanation:
Remark
Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).
At the point (0,50) draw a horizontal line to (200,50)
Join the point (200,50) to (0,0)
What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.
That angle is the same as the angle of elevation.
The horizontal line is 200 feet.
The vertical line is 50 feet
Formula
Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25
Solution
tan-1(0.25) = 14.036
Conclusion
The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation. so the angle you found and the angle of elevation are the 2 angles defined by the z.
Write the equation y = mx + b of a line given two points.
Ex 1.(3,3) and (4,-2)
Ex 2. (4,1) and (6,2)
Answers
Answer:
Ex 1. y= -5.00x + 18.00 Ex 2. y= 0.50x + -1.00
Step-by-step explanation:
(results are in decimal form, rounded to the nearest 100th)
A horticulturist wants to improve the soil quality in a garden by adding 120 pounds of nitrogen and 54 pounds of potassium. A pack of organic fertilizer contains 2 pounds of nitrogen and 3 pounds of potassium, and a pack of inorganic fertilizer contains 6 pounds of nitrogen and 2 pounds of potassium. How many packs of each type of fertilizer does the horticulturalist need to use? (Hint Write an equation for the total amount of nitrogen (120 pounds) obtained by adding the packs of both the fertilizers and another equation for the total amount of potassium (54 pounds) obtained by adding the packs of both the fertilizers.)
A organic fertilizer: 24 packs; inorganic fertilizer: 12 packs
B. organic fertilizer: 14 packs; inorganic fertilizer: 6 packs
C organic fertilizer: 15 packs; inorganic fertilizer: 8 packs
D. organic fertilizer: 9 packs; inorganic fertilizer: 17 packs
Е. organic fertilizer: 6 packs; inorganic fertilizer: 18 packs
Answers
x and y are the packs of organic and inorganic fertilizer, respectively.
pounds of nitrogen added = 2x + 6y = 120
pounds of potassium added = 3x + 2y = 54
eliminate the y terms. subtract the first equation from 3 times the second equation.
9x + 6y = 162
-2x - 6y = -120
------------------
7x = 42
x = 6
y = 18
8 True or False: The substitution method is a method of solving systems of equations by adding equations together in such a way that the variables are set aside, one by one.
Answers
Answer: I personally think it's true but I am not for sure
Step-by-step explanation:
Martha compro 4kg de tomate y 2kg de frijol y pago con $130. Su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol. ¿Cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol
Answers
Answer:
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:
x: precio de 1 kg de tomate.y: precio de 1 kg de frijol.Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130
El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85
Entonces, el sistema de ecuaciones a resolver es:
[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]
Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita, y . Una vez resuelta, calculas el valor de x sustituyendo el valor de y ya conocido.
En este caso, en primer lugar despejas x de la segunda ecuación:
x= 85 -3*y
Reemplazando en la primer ecuación:
4*(85-3*y) +2*y=130
y resolviendo obtienes:
4*85 -4*3*y + 2*y=130
340 - 12*y + 2*y=130
-12*y + 2*y=130-340
-10*y=-210
y=(-210)÷(-10)
y=21
Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:
x=85 - 3*21
x=85 - 63
x=22
Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.
Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol se debe realizar el siguiente cálculo:
4T + 2F = 130T + 3F = 85T = 85 - 3F4 x (85 - 3F) + 2F = 130340 - 12F + 2F = 130-10F = 130 - 340-10F = -210F = -210 / -10F = 21T + 3 x 21 = 85T = 85 - 63T = 22Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.
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In a 3 digit number, the tens digit equals to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits were reserved, the new number is 11 less than half of the original number. Find the original number. Brainly
Answers
Answer:
The original number is 572.
Step-by-step explanation:
Let the 3 digit number by xyz.
Where x is the hundreds digit, y is the tens digit and z is the units digit.
Hence, the digit is (100x + 10y + z).
From the question, the tens digit equals to the sum of the hundreds digit and the units digit.
That is,
y = x + z ...... (1)
Also, from the question, the hundreds digit of this number is 3 more than the units digit.
That is,
x = z + 3 ...... (2)
Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number
If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).
the new number is 11 less than half of the original number
That is,
(100z + 10y + x) + 11 = 1/2(100x + 10y + z)
This becomes
200z + 20y + 2x + 22 = 100x + 10y + z
200z - z +20y -10y +2x - 100x = -22
199z + 10y -98x = -22 ...... (3)
Solving the equations simultaneously,
Put the value of x in equation (2) into equation (1)
x = z + 3 ...... (2)
y = x + z ...... (1)
That is,
y = (z+3) + z
y = 2z + 3 ...... (4)
Put the value of y in equation (4) into equation (3)
199z + 10y -98x = -22
199z + 10(2z +3) -98x = -22
199z + 20z + 30 -98x = -22
219z -98x = -22-30
219z -98x = -52 ...... (6)
Put the value of x in equation (2) into equation (6)
219z -98(z+3) = -52
219z -98z -294 = -52
121z = -52 + 294
121z= 242
z = 242/121
∴ z = 2
Put the value of z into equation (2)
x = z + 3
x = 2 + 3
∴ x = 5
Put the values of z and x into equation (1)
y = x + z
y = 5 + 2
∴ y = 7
Hence, x = 5, y = 7 and z = 2.
Recall that the original number is 100x + 10y + z.
100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572
Hence, the original number is 572.
Between which two numbers is V35 ?
3&5
3&4
4&5
5&6
6&7
17&18
Answers
Answer:
between 5 and 6
Step-by-step explanation:
You mean the square root of 35? You can get that by pressing the omega symbol at the bottom of the editor. Ω It's the √ the third one on the top row.
Anyway that does nothing to add to your question.
√35 is very nearly √36 which is 6
√35 is between 5 and 6. (Choice 4 down).
What are the four quadrants for graphing ???????
Plsssssssssssssss help me
Answers
Answer: its in the pic
Step-by-step explanation:
Answer:
for a straight line graph,pick two points on the graph - The gradient of the line =(change in y-coordinate)/change in x-coordinate)You can,also use dis to find the equation of the line Since the line crosses the y-axis when y=3 , the equation of the graph is y=1/2x +3
4. 8(0 - 9) = 6(2 - 12) - 40
Answers
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Solve for side BA
(show your work)
Answers
Answer:
The length of AB is 25.6 mi.
Step-by-step explanation:
You have to apply Sine Rule :
[tex] \frac{AB}{ \sin(90) } = \frac{22.6}{ \sin(62) } [/tex]
[tex]AB = \frac{22.6}{ \sin(62) } \times \sin(90) [/tex]
[tex]AB = 25.6 \: mi \: \: (3s.f)[/tex]
a carton of orange juice contains 540ml a special offer carton contains an extra 35% how many millilitres are in the special offer carton?
Answers
189 mL + 540 mL = 729 mL
The carton contains 729 mL.
What is the Fraction?Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
How to solve it?We have.
540mL x .35 = 189 mL
189 mL + 540 mL = 729 mL
The carton contains 729 mL.
Learn more about Fractions:
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There are 10 fruits in a basket and 5 of them are apples. Write the ratio in simplest form.
Answers
Answer:
10:5= 2:1
Step-by-step explanation:
Hope this helped!! Give brainliest..
Answer:
If the ratio is 10:5 your answer would be 2:1
Step-by-step explanation:
F. The relationship between x and y is not a straight line.
Does anyone know the answer??
Answers
Answer:
[tex]y=\frac{1}{3}x-1[/tex]
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
Step-by-step explanation:
Taking two points from the given line
(3, 0)(-3, -2)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]
[tex]m=\frac{-2-0}{-3-3}[/tex]
[tex]m=\frac{1}{3}[/tex]
From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.
at x = 0, y=-1
Thus, the y-intercept = -1
We know that the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept
substituting the values of m=1/3 and the y-intercept b = -1
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3}x+\left(-1\right)[/tex]
[tex]y=\frac{1}{3}x-1[/tex]
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
Evaluate the following for f(-2)
F(x)=3x+2
Answers
Answer:
f(-2) = -4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x + 2
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2) + 2Multiply: f(-2) = -6 + 2Add: f(-2) = -4Answer 4
Step-by-step explanation:
3(-2)= -6
-6+2= -4
I don’t understand, explanations?
Answers
Answer:
ways and answer in paper
PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2
Answers
Answer:
13.5π in2
Step-by-step explanation:
just took the quick check
Juan paid $42 in taxi fare from the hotel to the airport. The cab charged a $7 initial fee plus $2.50 for each additional mile. How many miles was it from the hotel to the airport?
Answers
Answer:
It was 14 miles from the hotel to the airport.
Step-by-step explanation:
From the information given, the taxi fair is equal to the initial fee plus the result of multiplying the price per mile for the number of miles, which is:
t=7+2.50x, where:
t is the taxi fair
x is the number of miles
Now, you can replace t with 42 and solve for x to find the miles:
42=7+2.50x
42-7=2.50x
35=2.50x
x=35/2.50
x=14
According to this, the answer is that it was 14 miles from the hotel to the airport.
(-3, 1), (-17, 2) find the slope show the work
Answers
Answer:
1/-14 or -0.071428571428571
Step-by-step explanation
(-3,1) ___ -3 is x1 while 1 is y1
(-17, 2) ___ -17 is x2 while 2 is y2
slope formula is m = y2-y1/x2-x1
plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571
[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]
Answers
Help please i dont get thiss
Answers
Answer:
4/6
Step-by-step explanation:
just keep in multiplying the fraction upp and down
4/6
Explanation:
You can multiple the numerator and denominator by the same factor. In this case you can multiply 2/3 by 2 and get 4/6.
-21+(-59) what is the answer
Answers
Answer:
-80
Step-by-step explanation:
Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each.
How much did Veronica spend on candy?
A. 8.95
B. 17.90
C. 26.80
D. 35.80
Answers
Answer:
Your answer is C. 26.8
Step-by-step explanation:
5 × 1.79 = 8.95
15 × 1.19 = 17.85
8.95 + 17.85 = 26.8
Answer: C ($26.80)
Step-by-step explanation:
This is a multiplication problem.
The first 5 bags of candy cost $1.79 each, so we multiply the cost by the amount of bags that we bought for that price:
5 * 1.79 = $8.95
The rest of the bags cost $1.19 each, so we need to multiply this number by some value. To find this value, we need to know how many bags we have left. We already bought 5, and we bought a total of 20, so we need to buy:
20 - 5 = 15 bags
Multiplying the cost for the rest of the bags (1.19) by the amount of bags we need to buy still (15), we get:
15 * 1.19 = $17.85
Now we know what the cost of the first 5 bags (8.95), and we know the cost of the 15 other bags (17.85). To find the total amount of money Veronica spent, we can just add these two values together.
8.95 + 17.85 = $26.80
This total cost is shown in answer C, so that is the answer.
Finish the proof plz.
Answers
9514 1404 393
Explanation:
Here are the reasons:
GivenDefinition of a rectangleDefinition of a rectangleLL theorem for congruence of right trianglesCPCTC (corresponding parts of congruent triangles are congruent)An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answers
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
The perimeter of the picture is
36 inches. What is the height of
the picture?
Х
8 inches
Answers
Answer:
x = 10 inches
Step-by-step explanation:
P = 2 x (L + W)
36 inches = 2 x (8 + W)
36 = 16 + 2W
2W = 20
W = 10 inches
jerry started doing sit ups everyday. the first day he did 19 sit-ups. everyday after he did 4 more sit-ups than he had than the previous day. Today jerry did 81 sit-ups. write an equation that could be solved to find the number of days jerry has been doing sit-ups, not counting the first day. let n represent number of days.
Answers
Answer:
157
Step-by-step explanation:
Answer:
can you explain what two number you added to get that number "157"
Step-by-step explanation:
What are the gradients (slopes) and y-intercepts of these lines, please?
Answers
Answer:
a. gradient 4
b. gradient 3
c. gradient 1
d. gradient 1
e. gradient -2
f. gradient 3
Step-by-step explanation:
to find y intercept substitute x to be 0
i.e y=3x
y=0
Point O is on line segment NP . Given NP=18 and , NO=10, determine the length OP .
Answers
18-10= 8
hope this helps!
Help!!!! 10 points Taking a test Micah invested $3450 in an account paying simple interest. At the end of 6
years, the value of his account was $3967.50. What was the interest rate? *
O a. 1.5%
O b. 2.0%
O c. 2.5%
O d. 15%
Answers
Answer:
The answer is C.
Step-by-step explanation:
First, you have to find the interest amount after 6 years. In order to do this, you have to subtract :
[tex]3967.50 - 3450 = 517.50[/tex]
Next, you have to apply simple interest formula, I = (P×R×T)/100 where I repesents interest amount, P is priciple, R is interest rate and T is number of years :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 517.50,p = 3450,t = 6[/tex]
[tex]517.50 = \frac{3450 \times r \times 6}{100} [/tex]
[tex]517.50 = \frac{20700r}{100} [/tex]
[tex]51750 = 20700r[/tex]
[tex] \frac{51750}{20700} = r[/tex]
[tex]r = 2.5\%[/tex]