Answer:
y = 0.75x + 12
Step-by-step explanation:
The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?
y = 12x + 0.75
y = 0.75x + 12
y = 12x − (775
y = 0.75x − 12
y = total cost of a child's toy
Cost of each battery = $0.75
Number of batteries = x
Cost of the toy = $12
Therefore,
total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries
y = 12 + 0.75 * x
y = 12 + 0.75x
y = 0.75x + 12
What is the x-value of the vertex?
f (x) = (x + 2)^2 - 1
x-value of the vertex:
Rewrite the equation in expanded form:
(X+2)^2 -1 = x^2 + 4x + 3
The parabola parameters are : a = 1, b = 4, c = 3
The x vertex is -b/2a = -4/2(1) = -2
Replace x with -2 in the expanded equation to solve for the y vertex:
Y = -1
The vertex is (-2,-1)
x-value of the vertex:-2
Answer:
Solution given:
we have
f(x)=(x+2)²-1
y=x²+4x+3......(I)
parameters of parabola are:
a=1
b=4
c=3
we have
vertex=-b/2a=-4/(2*1)=-2
substitute value of x in equation 1.
y=4-8+3= -1
So
vertex(-2,1)
(x^2)^3÷x^6 HELLLLP
Answer:
x
Step-by-step explanation:
(x²)³ ÷ x⁶
x⁶ ÷ x⁶
x
During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?
I got two answer when I solved it but I’m not sure which one is correct
Here what I got
For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5
I’m not sure if I’m correct or which is the right answer can someone expían ?
Answer:
profit(n) = n * .50
Profit(10) = 5.00
Step-by-step explanation:
Profit = amount of candy bars sold * profit per candy bar
profit(n) = n * .50
Let the number of candy bars sold be 10 ( n=10)
Profit(10) = 10 * .50
= 5.00
When you added you only added 9 .50 terms which is why you only got 4.50 for your answer.
6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2
Answer:
C. a = 6√3, b = 12, c = 6√2
Step-by-step explanation:
First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:
cos(60°) = 6/b
0.5 = 6/b
b = 6/0.5
b = 12
Now we can find a using the Pythagorean theorem:
b² = 6² + a²
12² = 6² + a²
144 = 36 + a²
a² = 144 - 36
a² = 108
a = √108
a = 6√3
And now we can find c using cos again:
cos(45°) = c/b
√2/2 = c/12
c = 12•√2/2
c = 6√2
Which is the correct slope-intercept equation for a line that passes through the points (1,-3) and (-3,17)
Answer:
[tex]y=-5x+2[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (1,-3) and (-3,17)
[tex]=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5[/tex]
Therefore the slope of the line is -5. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-5x+b[/tex]
Plug in one of the given points and solve for b
[tex]-3=-5(1)+b\\-3=-5+b[/tex]
Add 5 to both sides of the equation to isolate b
[tex]-3+5=-5+b+5\\2=b[/tex]
Therefore, the y-intercept of the equation is 2. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+2[/tex]
I hope this helps!
pretty simple just fill in the blank from the drop down menu please !
Answer:
vertical hope this helps
Answer:
vertical, goodluck
Step-by-step explanation:
I took this
The graph represents the piecewise function:
f(x)= { __, if -1 ≤ x ≤ 1; __, if 3 ≤ x ≤ 5 }
Answer:
4, x-1
Step-by-step explanation:
The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.
The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.
The solution is:
The graph represents the piecewise function:
f(x)= { 4, if -1 ≤ x ≤ 1;
(x - 1), if 3 ≤ x ≤ 5 }
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
The first piece of this function goes from -1 to 1.
Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.
so, we have,
The second piece of this function goes from 3 to 5.
This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.
Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).
When putting this equation together we get x-1 being the second part.
Hence, The solution is:
The graph represents the piecewise function:
f(x)= { 4, if -1 ≤ x ≤ 1;
(x - 1), if 3 ≤ x ≤ 5 }
To learn more on graph click:
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can someone pls help for brainlest
Answer:
6.28km
Step-by-step explanation:
Hey,
We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.
Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.
2(π)(1km)=2kmπ.
The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.
6.28km is the answer!
Find mZA and mZB.
Please help :)
Answer:
Angle A: 28 degrees
Angle B: 24 degrees
Step-by-step explanation:
Hi there!
The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:
[tex]4y-4+3y=52[/tex]
1) Solve for y
[tex]4y-4+3y=52[/tex]
Combine like terms
[tex]7y-4=52[/tex]
Add 4 to both sides to isolate 7y
[tex]7y-4+4=52+4\\7y=56[/tex]
Divide both sides by 7
[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]
Therefore, y is equal to 8.
2) Solve for angles A and B
Angle A:
[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]
Angle B:
[tex]3y\\=3(8)\\=24[/tex]
I hope this helps!
(write and solve an algebraic equation to find the measure of each angle based on the given description.)
***11. Two angles form a linear pair. The measure of one angle is 24° more than the
measure of the other angle.
Answer:
The angles are 78° and 102°.
Step-by-step explanation:
Let the one angle is y and the other number if y + 24.
The sum of the angles of the linear pair is 180°.
So, according to the question
y + y + 24 = 180
2 y = 180 - 24
2 y = 156
y = 78°
So, one angle is 78° and the other is 78° + 24° = 102°.
A sample of a radioactive isotope had an initial mass of 120 mg in the year
2010 and decays exponentially over time. A measurement in the year 2015
found that the sample's mass had decayed to 50 mg, What would be the
expected mass of the sample in the year 2018, to the nearest whole number?
Answer:
2015-2010=5
50÷5=10
120-50=70
2017-2015=2
2*10=20
70-20=50mg
2018=50mg
What is the area of the rectangle below? 8 17 O A. 68 sq. units O B. 25 sq. units O C. 136 sq. units O D. 50 sq. units
Answer:
136 sq units
Step-by-step explanation:
area = length * width
a = 17 * 8
a = 136 sq units
The area of the rectangle is given by the equation A = 136 units²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Let the length of the rectangle be L
Now , the value of L = 17 units
Let the width of the rectangle be W
Now , the value of W = 8 units
And , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle A = 8 x 17
Area of rectangle A = 136 units²
Therefore , the value of A is 136 units²
Hence , the area of rectangle is 136 units²
To learn more about area of rectangle click :
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Solve 2x + 6 > 20. OLA X> 18 B. X>7 O c. x
someone help por favor
Answer:
2x+6>20
2x>20-6
2x/2>14/2
x>7
So your answer would be B
hey what the answer
all the formulas of exponents
Answer:
I hope the above picture help you mate
have a great day
I did it in white board so that I can explain better.i hope you understand if u have any problem in understanding be sure to reach out
#liliflim
Answer:
see below
Step-by-step explanation:
all formulas of exponent given by:
[tex] \displaystyle {x}^{1} = x \stackrel{ \rm example}{ \iff} 2^{1} = 2[/tex]
[tex] \displaystyle{x}^{0} = 1\stackrel{ \rm example}{ \iff} 2^{0} = 1[/tex]
[tex] \rm \displaystyle {x}^{m} \cdot { x }^{n} = {x}^{m + n} \stackrel{ \rm example}{ \iff} x^{1 } \cdot {x}^{2} = x^{1 + 2 } = {x}^{3} [/tex]
[tex] \displaystyle \sqrt[n]{{x} }= x^{1/n} \stackrel{ \rm example}{ \iff} \sqrt[3]{x} = x^{1/3}[/tex]
[tex] \rm \displaystyle \frac{{x}^{m} }{ { x }^{n}} = {x}^{m - n} \stackrel{ \rm example}{ \iff} \frac{x^{3} }{ {x}^{1} } = x^{3 - 1} = {x}^{2} [/tex]
[tex] \rm \displaystyle ({x}^{m} {)}^{n} = {x}^{m n} \stackrel{ \rm example}{ \iff} (x^{1 } {)}^{2} = x^{ 2 } [/tex]
[tex] \rm \displaystyle ({x}^{m} {y}^{m} {)}^{n} = {x}^{m n} {y}^{mn} \stackrel{ \rm example}{ \iff} (x^{1 } { {y}^{1} )}^{2} = x^{ 2 } {y}^{2} [/tex]
[tex] \rm \displaystyle \left(\frac{{x}^{} }{ { y }^{}} \right) ^{m} = \frac{{x}^{m} }{ { y }^{n} } ^{} \stackrel{ \rm example}{ \iff} = \left(\frac{ {x}^{2} }{ {y}^{2} } \right)^{2} = \frac{ {x}^{4} }{ {y}^{4} }[/tex]
[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } \stackrel{ \rm example}{ \iff} x^{ - 2} = \frac{1}{ {x}^{2} } [/tex]
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answer:
4X+5
Step-by-step explanation:
Dan : X
Harry: X+5
Regan: 2X
X+X+5+2X
Answer:
[tex]Mean = \frac{4x + 5}{3}[/tex]
Step-by-step explanation:
Given:
Dan sold = x
Harry sold 5 more than Dan, that is = x + 5
Regan sold twice as Dan = 2x
[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]
Determine the number of solutions for the equation shown below.
X = X-9
A. 1
B. 2
C. 0
D. Infinitely many
Answer:
The equation has 0 solutions (answer C).
Step-by-step explanation:
Starting with x = x - 9, we subtract x from both sides. This leaves us with:
0 = -9,
which is never true.
The equation has 0 solutions (answer C).
URGENT PLS HELP ASAP ANSWER EACH EMPTY BOX AND I WILL GIVE BRAINLIEST !!!!!
Answer:
y-1 = 2(x+2)
Step-by-step explanation:
Point slope form of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -1 = 2(x - -2)
y-1 = 2(x+2)
HELP PLEASE THIS IS DUE TODAY!
Answer:
13.76
Step-by-step explanation:
Find the area of the entire square (8 x 8 = 64)
Find the area of the circle (3.14 x 4^2 = 50.24)
Subtract the two (64 - 50.24 = 13.76)
Karla scored 75, 80, and 92 on her history quizzes. What is the minimum score she needs on her next quiz to have a mean of 85?
Answer:
she needs at least a 93 on her next quiz
Step-by-step explanation:
hope this helps mate
the trapezium is drawn on a centimetre grid
Answer:
21 cm²
Step-by-step explanation:
Applying,
A = (a+b)h/2............. Equation 1
Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.
From the diagram
Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)
Substitute these values into equation 1
A = 3(5+9)/2
A = 3(14)/2
A = 3×7
A = 21 cm²
can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1
Step-by-step explanation:
everything can be found in the picture
find the height x of the tree
Answer:
19.8 m
Step-by-step explanation:
To find the height of the tree, we can use the trig ratio tangent:
θ = angle, h = height
tan θ [tex]= \frac{opposite}{adjacent}[/tex]
tan 33° = h / 30.5
h = (tan 33°)(30.5)
h = (0.6494)(30.5)
h = 19.8 m
Help me besties
Find the measure of each angle in a regular 55 sided polygon.
[tex]a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''[/tex]
D
А
с
B
ABC measures 115º and Z DBC measures
70°. What is the measurement of ZABD?
Answer:
45 = ABD
Step-by-step explanation:
ABC = ABD + DBC
115 = ABD + 70
Subtract 70 from each side
115 - 70 = ABD
45 = ABD
Write an equation for the line that contains (-15, -8) and is parallel to the
graph -3x + 5y = -8
Answer:
y=3/5x+1
Step-by-step explanation:
Hi there!
We are given the equation -3x+5y=-8 and we want to find the equation of the line that is parallel to -3x+5y=-8 and contains the point (-15,-8)
parallel lines have the same slopes, but different y intercepts.
So let's first find the slope of -3x+5y=-8
We can do this by converting the equation from standard form (ax+by=c where a, b, and c are free coefficients (numbers)) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
add 3x to both sides
5y=3x-8
divide by 5 on both sides
y=3/5x-8/5
3/5 is in the place of where m is, so that means that 3/5 is the slope of the line
we can write the equation of the new line in slope-intercept form.
Here it is so far:
y=3/5x+b
we need to find b
Because the line will pass through the point (-15,-8), we can use it to solve for b
substitute -15 as x and -8 as y
-8=3/5(-15)+b
multiply
-8=-9+b
add 9 to both sides
1=b
substitute 1 as b into the equation
y=3/5x+1
There's the equation of the line :)
Hope this helps!
180 miles in 3 hours, what's the unit rate?
Answer:
60 or 60:1
Step-by-step explanation:
You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.
Answer:
60
Step-by-step explanation:
60
plz help me with this
Answer:
27.7
Step-by-step explanation:
Pythagorean Theorem
[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex] (10.7 comes from half of the 21.4 side)
[tex]x^{2}[/tex] = height
hi i need help with this algebra vocabulary please
Answer:
slope
Step-by-step explanation:
The slope is the rise divided by the run
Answer: The slope.
Step-by-step explanation: That's what I think.
What pattern can you use to find other terms of the sequence given below? 14, 6, -2, -10, -18, … Add _________ to the previous term to find the next term
Answer:
Add -8
Step-by-step explanation:
Take the second term and subtract the first term
6-14 = -8
Check with the third and second terms
-2 -6 = -8
We are subtracting 8 from each side
(or adding -8)
Step-by-step explanation:
14, 6, -2, -10 , -18
ok so if you are starting at 14 then you would be add -8
14-8=6
6-8=-2
so on and so on..
But if you are starting from -18 then you would add 8
-18, -10,-2, 6, 14
-18+8=-10
-10+8=-2 so on and so on
so either one of those depending on which number your starting with
Write as a positive exponent.
7^-10
Answer:
1/7^10
Step-by-step explanation:
7^-10
=1/7^10
