Answer:
Attached pleased find the screen grab of the graph with the line y = x - 4 included
The solution of the system of equations, y = x² - 4·x and y = x - 4 is directly found from the graph by the points of the intersection of the lines y = x² - 4·x and y = x - 4 which are (4, 0) and (1, -3)
x = 1 y = -3
or
x = 4 y = 0
Step-by-step explanation:
To verify, we have;
Equations y = x² - 4·x and y = x - 4 can be solved where they are equal as follows
Thus equating the value of y in both equations gives;
x² - 4·x = x - 4
x² - 4·x -x - 4 = 0
x² - 5·x + 4 = 0
(x - 4) × (x - 1) = 0
Therefore; x = 4 or 1
When x = 4, y = x - 4 = 1 - 4 = -3.
What is the slope of the line that contains the point (-2, 7) and (2, 3)? A. -1 B. -4 C. 1 D. 4
Answer:
A. -1
Step-by-step explanation:
Slope = (y2 - y1) / (X2 - X1)
= (3 - 7) / (2 +2)
= - 4/ 4
= - 1
Hope this helps.. Good Luck!
Answer:
The slope is -1.
Step-by-step explanation:
Plug it into the formula.
Find the value of x and simplify completely. Just answer needed , not explanation
Answer:
x=(27)^2+y^2
=√729+y^2( root of 729+y^2)
= 27+√y^2
Answer:
x=9√10solution,
[tex] {y}^{2} = 3 \times 27 \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = \sqrt{ {9}^{2} } \\ y = 9 \\ \\ {y}^{2} + {27}^{2} = {x}^{2} \\ or \: {9}^{2} + {27}^{2} = {x}^{2} \\ or \: 81 + 729 = {x}^{2} \\ or \: 810 = {x}^{2} \\ or \: x = \sqrt{810} \\x = 9 \sqrt{10} [/tex]
hope this helps...
Good luck on your assignment..
A student can get paid $12 per hour to run a three-hour economics tutoring session, or he can take a five-hour shift helping at his mom’s store that pays $15 per hour. What is the opportunity cost of working at the store? $12 $75 $36 $45 $60
Answer: C. $36
Step-by-step explanation:
Opportunity cost refers to the best economic alternative so in this case, it would be referring to the student tutoring for three hours. $12x3=$36
Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 10 more days to finish the job than the other worker?
Answer:
20 days
Step-by-step explanation:
t = time required by one worker to complete the job alone
(t+8) = time required by the other worker
So:
7.5/ t + 7.5/ (t + 8) = 1
Solve for t.
...
t = 12 days, the first guy working alone
The other worker would finish the job in 20 days.
Answer:
7 days and 17 days
Step-by-step explanation:
We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
applied to the graph of y= 1/x
Stretched vertically about the x-axis by a
factor of 3
Reflected in the x-axis
Translated 4 units right and 2 units down
Answer:
y = -3/(x-4) - 2
Step-by-step explanation:
3*y(x) vertically stretches y by a factor 3
-y(x) reflects y over x-axis
y(x-4) translates y 4 units to the right
y(x) - 2 translates y 2 units down
Applied the transformations we get:
y(x) = 1/x → 3/x → -3/x → -3/(x-4) → -3/(x-4) - 2
Find the volume of a pyramid with a square base, where the perimeter of the base is
12.8 m and the height of the pyramid is 12.5 m. Round your answer to the nearest.
tenth of a cubic meter.
Answer:
42.7 cm ^2
Step-by-step explanation:
Solve 2(x + 1) = 2x + 5.
Answer: No real solutions
Step-by-step explanation:
2(x-1) = 2x +5
Step 1: Distribute the 2 to the parenthesees
2x - 2 = 2x + 5
Step 2: Put the variables on one side and the constants on the other. (add/subtract)
0x = 7
Now, because 0 does not equal 7, there are no real solutions to this problem.
3m^2+4mn-5n^2+(-m^2)-6mn+2n^2+3mn-n^2+3m^2+mn+4n^2
Answer:
5m^2 + 2mn
Step-by-step explanation:
Answer:
[tex]5 {m}^{2} + 2mn[/tex]solution,
[tex]3 {m}^{2} + 4mn - 5 {n}^{2} + {( - m)}^{2} - 6mn + 2 {n}^{2} + 3mn - {n}^{2} + 3 {m}^{2} + mn + 4 {n}^{2} \\ = 3 {m}^{2} + 4mn - 5 {n}^{2} - {m}^{2} - 6mn + 2 {n}^{2} + 3mn - {n}^{2} + 3 {m}^{2} + mn + 4 {n}^{2} \\ [/tex]
Collect like terms:
[tex]3 {m}^{2} - {m}^{2} + 3 {m}^{2} - 5 {n}^{2} + 2 {n}^{2} - {n}^{2} + 4 {n}^{2} + 4mn - 6mn + 3mn + mn \\ [/tex]
Simplify:
[tex] = 5 {m}^{2} - 4 {n}^{2} + 4 {n}^{2} + mn + mn \\ = 5 {m}^{2} + 2mn[/tex]
Hope this helps..
Good luck on your assignment..
PLEASE SOLVE! FIST CORRECT ANSWER GETS BRAINLIEST! Simplify using the distributive property: -0.1·(100a+10b-c)
Answer:
-10a - b + 0.1c
Step-by-step explanation:
We can distribute the -0.1 to 100a, 10b and -c.
-10a - b + 0.1c
That's all!
Hope this helps
Answer: -10a - b + 0.1c
Step-by-step explanation:
simplify 0.1 * 10b * -c
10a - b - 0.1 * -c
regroup terms.
-10a - b - ( - 0.1 * c )
remove parentheses
-10a - b + 0.1 * c
Help me pllzzzzzzz help help
Answer:
0.75
Step-by-step explanation:
Out of the 8 tiles, 6 of them are not a blue A so the chance of not drawing a blue A is 6/8 = 0.75.
Answer: 3/4
Step-by-step explanation:
There are 8 choices, 2 of which are blue A's. Thus, 6 out of the eight options are NOT blue A's. Therefore, you have a 6/8, or 3/4 chance of not drawing a blue A.
Hope it helps <3
Justin is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 2 sizes, 2 flavors, and 2 toppings to choose from. How many different ice cream desserts could he order?
Answer:
8
Step-by-step explanation:
because thats the answer
Answer:
It is going to be 8
Step-by-step explanation:
usign a tree diagram
orin simple
2 *2*2 is 8
A rectangular prism has a length of 3 feet, a height of 7 feet, and a width of 14 feet.
What is its volume, in cubic feet?
Answer:
294 cubic ft.
Step-by-step explanation:
All you do is just multiply the length, width, and height!
3 × 14 × 7 = 294
hopefully this helped :3
Answer:
294 cubic feet
Step-by-step explanation:
(-2,-11);slope=4 write the equation of the line
Answer: y = 4x-3
slope = 4, y intercept = -3
=================================================
m = 4 is the slope
[tex](x_1,y_1) = (-2,-11)[/tex] is the point the line goes through
Using point slope form, we can say,
[tex]y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\[/tex]
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
------------------------
As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
------------------------
To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.
Answer:
y = 4x-3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
The slope is 4
y = 4x+b
Substitute the point into the equation
-11 = 4(-2)+b
-11 = -8+b
Add 8 to each side
-11+8 = b
-3 = b
y = 4x-3
1) sqrt x^+6x+9 if x≥3
2) sqrt x^2+6x+9 if −3≤x<3
3) sqrt x^2−6x+9 if x<−3
will give brainliest
Answer:
Step-by-step explanation:
first one:
[tex]x^{2}+6x+9={(x+3)}^{2} \\\sqrt{{(x+3)}^{2} }=x+3[/tex]
second one:
[tex]x^{2}+6x+9=(x+3)^{2} \\\sqrt{(x+3)^{2} } = x+3[/tex]
third one:
[tex]x^{2} -6x+9=(x-3)^{2} \\\sqrt{(x-3)^{2} } =|x-3| \ \ (because \ x<-3)[/tex]
I need helpppppppppppppo
Answer:
25%, -2x + 3
Step-by-step explanation:
8/24 = 1/4 =.25 = .25%
plug in numbers
PLEASE MARK ME BRAINIEST
(-3ab - 8a + 8) - (-5ab +2)
Answer:
2ab - 8a + 6
Step-by-step explanation:
(-3ab - 8a + 8) - (-5ab +2)
(-3ab - 8a + 8) -1(-5ab +2)
Distribute -1 to the brackets.
(-3ab - 8a + 8) + 5ab - 2
Remove the brackets.
-3ab - 8a + 8 + 5ab - 2
Rearrange.
5ab - 3ab - 8a + 8 - 2
Combine like terms.
2ab - 8a + 6
The graph of f(x) shown below resembles the graph of g(x)=x^3, but it has been vertically stretched. Which of the following could be the equation of f(x)?
Answer: it’s b
Step-by-step explanation:
The weights of professional wrestlers are approximately normally distributed with a mean of 220 pounds and a standard deviation of 7 pounds. Using the normalcdf function on your graphing calculator, approximately what percent of wrestlers have weights less than 205 pounds?
Answer:
1.6%
Step-by-step explanation:
The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as
F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x
z = (x-μ)/σ,
where:
x is the raw score = 205
μ is the population mean, = 220 pounds
σ is the population standard deviation = 7 pounds
205 -220/7
z = -15/7
z = -2.1428571429
Using the normal cdf function on your graphing calculator,the cumulative distribution is
normalcdf( -2.1428571429, 100)
= 0.01606229
In percent form = 0.01606229 × 100
= 1.6%
Which statement is the most appropriate comparison of the spreads?
Answer:
D The IQR for town A is less than the IQR for town B
Step-by-step explanation:
A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)
Which of the following shows the graph of y = 2 l n x On a coordinate plane, a curve starts at (0, negative 2) in quadrant 4 and then increases into quadrant 1 and approaches y = 3. On a coordinate plane, a curve starts in quadrant 4 and then curves up into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0). On a coordinate plane, a curve approaches the y-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 1). On a coordinate plane, a curve approaches the y-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 2).
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Given:
[tex]f(x)= 2^{-x}=\frac{1}{2^x}[/tex]
In the above choices it is clearly defined from the above equation that output rises in the first quadrant, the value of f(x) tends to be zero and increases into another second quadrant. For x = 0, y, once again, has become 1, that is the function passes the y platform at (0,1). Therefore an exponential function reaches y = 0 in quadrant 1 on a coordinate plane and rises into quadrant 2. (0,1) stage is the temperature at which the y-axis intersects.The graph of y = 2ln(x) is (b) on a coordinate plane, a curve starts in quadrant 4 and then curves up into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0).
How to determine the graph of the equation?The equation of the graph is given as:
[tex]y = 2\ln(x)[/tex]
Start by plotting the graph of [tex]y = 2\ln(x)[/tex] .
From the graph (see attachment), we have the following highlights
The curve of the graph starts at the 4th quadrantIt moves up to the 1st quadrantIt crosses the x-axis at x = 1, and it approaches y = 5From the list of given options, only option (b) describes the above highlights
Hence, the graph of y = 2ln(x) is (b)
Read more about graphs and functions at:
https://brainly.com/question/3939432
What is a unit rate?
Answer:
a unit rate is a rate with 1 in the denominator! if you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
PLZZ ANSWER AND ANSWER STEP BY STEP PLZZZ I NEED HELP!
Elaine earns $9.50 for the first 10 1/2 hours she works and $10.30 for every hour after that.If Elaine worked 20 1/4 hours,how much would she earn.
Answer: B
Step-by-step explanation:
I had this question on EDG
FIND THE COORDINATES
Answer:
A=(0,2)
B=(3,3)
C=(3,0)
D=(4,-3)
E=(0,-4)
F=(-4,-2)
G=(-3,0)
H=(-4,3)
Step-by-step explanation:
(x,y)
x is how many units across. To the right of the vertical line (y-axis) is positive, but to the left of the vertical line (y-axis) is negative
y is how many unit up and down. Above the horizontal line (x-axis) is positive, but below the horizontal line (x-axis) is negative
Answer:
hey!
your answer is
A) (0,2)
B) (3,3)
C) (3,0)
D) (4,-3)
E) (0,-4)
F (-4,-2)
G (-3,0)
Step-by-step explanation:
hope this helps
you nedd to find the x before the y and write it down
pls put brainliest
Q1: Which pairs of expressions are equivalent (Choose all that apply.) *
14 - 9 and 14 + (-9)
18-6 and -18 + 6
-7-22 and 22-(-7)
3-30 and 3 + (-30)
10 - 5 and 5 - 10
Answer:
#'s 1 and 4
Step-by-step explanation:
1.) 14-9=5 and 14+(-9)=5
2.) 18-6=12 and -18+6=-12
3.) -7-22=-29 and 22-(-7)=29
4.) 3-30=-27 and 3+(-30)=-27
5.) 10-5=5 and 5-10=-5
La densidad de un líquido es de 1.5 gr/cm3 su masa es de 7 libras Determina la cantidad de litros que ocupan dichos líquidos
Answer:
La cantidad de litros que ocupa dicho líquido es:
2,12 LitrosStep-by-step explanation:
El volumen de un líquido puede obtenerse al tener tanto su densidad como su masa usando la siguiente fórmula:
Densidad = masa / volumenAl despejar volumen se obtiene:
Volumen = masa / densidadPor lo cual, si se reemplazara la fórmula quedaría:
Volumen = 7 Lb / 1.5 gr/cm^3Sin embargo, para operar, las unidades en las que se expresa la masa deben coincidir con las unidades de la densidad, por lo cual vamos a convertir las libras en gramos teniendo en cuenta el siguiente factor de conversión:
1 libra = 453,592 gramos
Entonces:
7 lb = 453,592 gr * 7 = 3175,144 gr
Ahora este valor reemplaza la masa en la fórmula y calculamos:
Volumen del líquido = 3175,144 gr / 1.5 gr/cm^3Volumen del líquido = 2116,762667 cm^3 (He utilizado todos los decimales para obtener el resultado exacto).A simple vista ya se tiene el volumen del líquido en cuestión, sin embargo, el ejercicio pide que sea expresado en litros, por lo cual vamos a convertir los centímetros cúbicos en litros teniendo en cuenta el siguiente factor de conversión:
1 litro = 1000 centímetros cúbicos.
Ahora podemos aplicar una regla de tres simple, si:
1000 cm^3 = 1 L2116,762667 cm^3 = xY operamos:
x = (2116,762667 cm^3 * 1 L) / 1000 cm^3x = 2,116762667 LO si quieres un valor aproximado:
x = 2,12 Litros.Entonces, la cantidad de litros teniendo en cuenta la densidad y la masa brindadas es 2,12 litros.
which statement is not always true for a parallelogram PLZ HELP QUICK
A consecutive angles are congruent, B opposite angles are congruent, C diagonals bisect each other, D opposite sides are congruent
Answer:
I think option a is correct answer because consecutive angles are supplementary.
Answer:
The correct answer is A
Step-by-step explanation:
When working with whole numbers, which of the following functions will not always result in the answer being a whole number?
A. Addition
B. Multiplication
C. Subtraction
D. Division
What is Negative 2 (3 x + 12 y minus 5 minus 17 x minus 16 y + 4) simplified?
Answer:
28x+8y+2
Step-by-step explanation:
Write out the equation first: -2 (3x+12y-5-17x-16y+4)
Simplify within parentheses : -2 (-14x-4y-1)
Multiply by -2: 28x+8y+2
a baker used three fourths lb flour for rolls , five eights for donuts, and two thirds for cookies. How many pounds of flour was used total
Answer:
2 1/24
Step-by-step explanation:
you first need to convert them to the same least common denominator
the common denominator is 24
so 18/24 plus 15/24 plus 16/24
which is 49/24 which is 2 1/24
hope this helps
The table shows the distances and times between stops on a trolley line. Between which two stops did the trolley go
the slowest?
Stops
From Stop A to Stop B
From Stop B to Stop C
From Stop C to Stop D
From Stop D to Stop E
Data for a Trolley
Distance
150 meters
200 meters
360 meters
280 meters
Time
50 seconds
50 seconds
60 seconds
40 seconds
Stop A and Stop B
Stop B and Stop C
Stop C and Stop D
Stop D and Stop E
Answer:
Stop A and Stop B
Step-by-step explanation:
Data for a Trolley
Stops Distance Time
From Stop A to Stop B 150 meters 50 seconds
From Stop B to Stop C 200 meters 50 seconds
From Stop C to Stop D 360 meters 60 seconds
From Stop D to Stop E 280 meters 40 seconds
From definition: speed = distance/time
Speed From Stop A to Stop B : 150/50 = 3 m/sSpeed From Stop B to Stop C : 200/50 = 4 m/sSpeed From Stop C to Stop D : 360/60 = 6 m/sSpeed From Stop D to Stop E : 280/40 = 7 m/s