The value of the card can be modeled using a linear function. The domain of the function is 5.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
A baseball card was worth $120.
Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.
y = $120 - $10(5)
y = $150
domain = x or 5
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What are the two smallest consecutive odd integers whose sum is greater than 17
Answer:
9 and 11
Step-by-step explanation:
Michelle throws a frisbee into the air. The height of the frisbee at a given time can be modeled by the equation h(t)= -2t
Answer:
(a) The ball will hit the ground after 3 seconds
(b) The maximum height is 6.125
Step-by-step explanation:
Given
[tex]h(t) = -2t^2 +5t +3[/tex]
Solving (a): When the frisbee will hit the ground?
To do this, we set h(t) to 0
So, we have:
[tex]h(t) = -2t^2 +5t +3[/tex]
[tex]-2t^2 +5t +3=0[/tex]
Expand
[tex]-2t^2 +6t-t +3=0[/tex]
Factorize
[tex]-2t(t - 3) -1(t - 3) = 0[/tex]
Factor out t - 3
[tex](-2t -1)(t - 3) = 0[/tex]
Split:
[tex]-2t -1= 0\ or\ t - 3 = 0[/tex]
Solve for t in both equations
[tex]-2t =1\ or\ t = 3[/tex]
[tex]t =-\frac{1}{2}\ or\ t = 3[/tex]
Time can't be negative; So:
[tex]t = 3[/tex]
Solving (b): How height the frisbee will go?
First, we calculate time to reach the maximum height
[tex]t = -\frac{b}{2a}[/tex]
Where:
[tex]h(t) = at^2 + bt + c[/tex]
By comparison:
[tex]a = -2,\ b =5,\ c =3[/tex]
So:
[tex]t = -\frac{b}{2a}[/tex]
[tex]t = -\frac{5}{2*-2}[/tex]
[tex]t = \frac{5}{4}[/tex]
[tex]t = 1.25[/tex]
So, the maximum height is:
[tex]h_{max} = -2 * 1.25^2 + 5 * 1.25 + 3[/tex]
[tex]h_{max} = 6.125[/tex]
Diana earns $9.95 per hour
working at the bank. She
needs to save at least
9
$200.00 in 3 weeks.
Which inequality can be used
to determine h, the number of
hours she needs to work to
reach her goal?
Answer:
m = $9.00 * h.
Step-by-step explanation:
hours: 4, 5, 6, 7,
money: 34, 42.5, 51, 59.5,
Ratio for 30 boys to 50 girls
Answer:
30:50 OR Can reduce it to 3:5
Step-by-step explanation:
30: 50 OR 3.5
Answer:
3 : 5
Step-by-step explanation:
30boys : 50girls= 30 : 50 = 30/50 = simplify = 3/5= 3/5 change into ratio is 3 : 53 : 5Barry drew a scale drawing of an office building. The scale of the drawing was 3
inches = 2 feet. A desk is 6 feet long in real life. How long is the desk in the
drawing?
Answer:
3inches=2feet and
Xinches=6feet so Cross multiply
2X=18 divided both sides by 2
X=9inches therefore
the answer is 9inches
x3 + 5y when x = 4, y = -3
Answer:
49
Step-by-step explanation:
4^3=64
5(-3)=-15
64+(-15)=49
Answer:
49
Step-by-step explanation:
First, because of the order of operations, you would do 4^3 (or four to the power of three) first to get 64. 5×-3 is equal to -15, and a positive number plus a negative number is just that positive number minus a positive version of the negative number, if that even makes sense. Basically, 35 + -2 would be equal to 35-2. 64-15 is equal to 49, which is your answer!
I hope this helped you!
what is the slope of the line parallel to 9/10x +4y =70
Answer:
y=−9/40x+3/52
Using the slope-intercept form, the slope is −9/40.
the slope: m=−9/40
Step-by-step explanation:
What is the perimeter of this equilateral triangle?
Choices
4
20
40
60
Answer:
60
Step-by-step explanation:
If it is an equilateral triangle the sides are equal
24-x = 5x
Add x to each side
24-x+x = 5x+x
24 =6x
Divide by 6
24/6 =6x/6
4 =x
Each side is 5x or 5*4 = 20
Add the 3 equal sides
20+20+20 = 60
The perimeter is 60
Answer:
60
Step-by-step explanation:
In this case, to find the perimeter, we need to know the value of at least one side.
Since this triangle is equilateral, [tex]5x=24-x[/tex].
Adding x to both sides results in [tex]6x=24[/tex], and subsequently, [tex]x=4.[/tex]
Now that we know x equals 4, we can plug this into either 5x or 24-x and find out that one of the sides is 20.
Equilateral triangles have three equal sides, so 20 times 3, or 60, is the perimeter. I hope this helped!
Jim is repainting a free-throw key of a basketball court. the free-throw is made by combining a rectangle and a semicircle, as shown below. In order to know how much paint to purchase, Jim will determine the area of the free-throw key. What is the total area, to the nearest whole square foot, of the free-throw key shown in the diagram?
Answer:
285
Step-by-step explanation:
First find the area of the rectangle
A = l*w
A = 19*12 = 228
The find the area of the semicircle
A = 1/2 pi r^2
We know the diameter is 12 so the radius is half the diameter so 1/2 (12) = 6
A = 1/2 (3.14)(6)^2
= 1/2 (3.14) (36)
= 56.52
Add the two areas together
225+56.52
284.52
Rounding to the nearest whole number
285
A movie theater sells up to 10 tickets at a time online. What is the domain of this graph?
Answer:
I think the correct answer is B
WILL GIVE BRAINLIEST AND THANKS. find the value of x
Answer:
12
Step-by-step explanation:
20² - 16² = x²
400 - 256 = x
400 - 256 = 144
√144 = 12
Intermediate Algebra help, please <3
Step-by-step explanation:
b
I told you because I did it
Simplify the following....
Want it with explanation...
Will give brainliest for the best...
Answer:
it is about 3.78 if you round to the nearest hundredth
Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.
Which equation can be used to find the number of times Maria hiked each trail?
Answer:
5x+10y=90
Step-by-step explanation:
The equation that can be used to find the number of times Maria hiked each trail is 5x + 10y = 90.
How to depict the equation?From the information, Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail.
x represent the number of times Maria hiked the mountain trail.
y represent the number of times Maria hiked the canal trail.
The equation will be:
= (5 × x) + (10 × y) = 90
= 5x + 10y = 90
The equation is 5x + 10y = 90.
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pls help pls answer correctly pls no links pls i beg
Answer:
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Which of these strategies would eliminate a variable in the system of equations?
2x — бу = 6
6x – 4y = 2
HBHBVHBHEBCB PLEASE HELP WHAT IS :
x/6= -2
uhh yeah i need help please
We first need to figure out our pattern. It looks like we are subtracting 7 each time.
Using that pattern, let's continue it!
43 - 7 = 36
36 - 7 = 29
29 - 7 = 22
Hope this helps!! :)
Answer:
36,29,22
Step-by-step explanation:
64 - 57 = 7
57-50 =7
50-43=7
We are subtracting 7 each time
43-7 =36
36-7 = 29
29 -7= 22
is 3 equivalent to this? yes or no? ill give brainliest
Answer:
No
Step-by-step explanation:
This is 3 times 3
3 would be 3 with a 1 instead of a 2
Find m∠ABD and m∠CBD given m∠ABC = 111∘.
Answer:
m∠ABD = 88º
m∠CBD = 23º
Step-by-step explanation:
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
------------------------
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
Answer:
88, 23
Step-by-step explanation:
<ABD + <DBC = <ABC
(-10x + 58) + (6x + 41) = 111
-10x + 58 + 6x + 41 = 111
99 - 4x = 111
-4x = 111-99
-4x = 12
x = 12/-4
x = -3
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
<DBC = 6x + 41 = 6*-3 + 41 = -18 + 41 = 23
Hope it helps u
Please mark as brainliest
pleaseee helppp meee!!!!
Answer:
Vertical change of point C to B = 4.5
Vertical change of point A to D = -4
Step-by-step explanation:
Vertical change of a point is the rise of the given point.
Now we have to calculate the rise of point C to B,
y-coordinate of the point C → -2.5
y-coordinate of the point B → 2
Rise from C to B = 2 - (-2.5)
= 2 + 2.5
= 4.5
Similarly, y - coordinate of point A → 2
y - coordinate of point D → -2
Vertical change or rise = -2 - 2
= -4
Therefore, vertical change of point C to B = 4.5
Vertical change of point A to D = -4
Find the coordinates of the intersection of the diagonals of DEFG with the vertices D(-2, -3), E(0, 4), F(-4, 3), and G(-6, -4)
Answer:
(-3,0)
Step-by-step explanation:
midpoint DF = (-6/2,0) or (-3,0)
midpoint EG = (-6/2,0) or (-3,0)
in given circle O find the value of AB
Answer:
AB = 32 in
Step-by-step explanation:
The value of AB is same as the value of the other chord, it's divided by two similar parts which are 16 each, so the value of AB becomes 16*2= 32 in
Answered by GAUTHMATH
I need helppp:(((((((
Answer:
1= e
2= c
Step-by-step explanation:
Please help, Im really struggling
The officers of the local high school’s Parent Teacher Association (PTA) are planning a dinner. At the dinner, the PTA will present the Teacher-of-the-Year award to a teacher in the school. Which population should the officers survey to identify the teacher who should get this award?
A. All of the members of the PTA.
B. All of the students in the school.
C. All of the teachers in the school.
D. All of the parents of the students in the school.
Answer:
Sorry i'm late
It's B: All of the students in the school
Step-by-step explanation:
Did the quiz
please help me i dont understand
Answer:
Step-by-step explanation:
take 52 degree as reference angle
using tan rule
tan 52=opposite/adjacent
1.27=x/21
1.27*21=x
26.67=x
26.9=x
please help a girl out
Answer:
[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]
Ignore the A before the ±. It wouldn't let me type it correctly.
Step-by-step explanation:
2r² + 7r - 1 = 3r²
2r² + 7r - 1 - 3r² = 0
- r² + 7r - 1 = 0
- (r² - 7r + 1) = 0
- (r² - 7r + 1) ÷ - 1 = 0 ÷ - 1
r² - 7r + 1 = 0
[tex]r=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
Ignore the A before the ±. It wouldn't let me type it correctly.
r² - 7r + 1 = 0
a = 1
b = - 7
c = 1
[tex]r=\frac{-(-7)±\sqrt{(-7)^{2}-4((1)(1)) } }{2(1)}[/tex]
[tex]r=\frac{-(-7)±\sqrt{49-4((1)(1)) } }{2(1)}[/tex]
[tex]r=\frac{-(-7)±\sqrt{49-4 } }{2(1)}[/tex]
[tex]r=\frac{-(-7)±\sqrt{45 } }{2(1)}[/tex]
[tex]r=\frac{-(-7)±\sqrt{(3)(3)(5) } }{2(1)}[/tex]
[tex]r=\frac{7±(\sqrt{3 } )(\sqrt{3})(\sqrt{5}) }{2(1)}[/tex]
[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]
Two separate equations
[tex]r=\frac{7+3\sqrt{5} }{2}[/tex]
[tex]r=\frac{7-3\sqrt{5} }{2}[/tex]
State the slope and the y-intercept for the graph of the equation. y= -2
1; -2
0; -3
-2; 0
0; -2
Answer: 0; -2
Step-by-step explanation:
Data: y-intercept=x and slope=x
Equation=y=-2
Only step, Point out the y-intercept and slope
-2=y-intercept
0=slope
Reason: Since there is no visible slope, the placeholder would be 0 therefore the slope would be 0, -2 is the only number left so that means the only number that can be y-intercept is -2.
That is why the slope is 0 and the y-intercept is -2
I hope this helps!
30. The area of the rectangular floor in
Tamara's room is 95 square feet. The
width of the room is 8 feet.
Answer:
It has given that the area of the rectangular floor in Tamara's room is 95 ⅚ square feet. the width of the room is 8 ⅓ feet.
The points ( − 4 , 9 ) and ( 4, −9) lie on the same line. What is its equation in slope-intercept form of this line?
Answer:
y = -9/4x
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= ( -9-9)/(4 - -4)
( -9-9)/(4+4)
-18/8
-9/4
Slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = -9/4 +b
Substitute a point into the equation
9 = -9/4(-4) +b
9 = 9+b
b=0
y = -9/4x