Answer:
[tex]\boxed{A. (1,1)}[/tex]
Step-by-step explanation:
Well since in,
[tex]f(x) = -3x^2 + 6x - 2[/tex]
the 3x^2is negative that means the parabola has a maximum not a minimum meaning we can take out choices,
B and D.
To find the maximum let’s graph the given equation,
Look at the image below.
By looking at the image we can tell that the maximum is at (1,1).
So the answer is choice A (1,1)
The graph below shows the survey results for a group of students who were asked how many honors classes they have taken and how many elective classes: How many elective classes would a student likely have taken if he or she has taken 12 honors classes? 15, because y = one halfx + 9 12, because y = y = negative one halfx + 9 6, because y = one halfx + 9 3, because y = negative one halfx + 9
Answer:
3, because [tex]y=-\frac{1}{2}x+9[/tex].
Step-by-step explanation:
Looking at this graph, we can start to determine the equation for it.
The y-intercept of this graph is 9, therefore there will be a constant of 9.
We can find the slope by looking at rise over run. It vertically travels -1 for every 2 horizontally. So the slope is [tex]-\frac{1}{2}[/tex].
Making this into an equation gets us [tex]y=-\frac{1}{2}x+9[/tex].
Now we can substitute 12 into this equation as x.
[tex]y=-\frac{1}{2}(12)+9\\ y=-6+9\\y=3[/tex]
Hope this helped!
Answer:
the other person is correct! C:
Step-by-step explanation:
30 times the square of a nonzero number is equal to eight times the number what is the number
Answer: 4/15
Step-by-step explanation:
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
Number sentence: [tex]30x^{2}[/tex] = [tex]8x[/tex]
You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8
Now divide each side by 30 to keep reducing it: [tex]x = \frac{8}{30}[/tex]
Now that we have [tex]\frac{8}{30}[/tex], we can reduce that by dividing the top and bottom by 2:
[tex]\frac{8}{30} = \frac{4}{15}[/tex].
Therefore, the number is [tex]\frac{4}{15}[/tex].
Find x
A. 33
B. 44√3
C. 33√2
D. 11√3
Answer:
d
Step-by-step explanation:answer is d on edg
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x
Answer:
Option (1)
Step-by-step explanation:
Given equation is,
[tex]2^x=1-3^x[/tex]
To determine the solution of the equation we will substitute the values of 'x' given in the options,
Option (1)
For x = -0.75
[tex]2^{-0.75}=1-3^{-0.75}[/tex]
0.59 = 1 - 0.44
0.59 = 0.56
Since, values on both the sides are approximately same.
Therefore, x = -0.75 will be the answer.
Option (2)
For x = -1.25
[tex]2^{-1.25}=1-3^{-1.25}[/tex]
0.42 = 1 - 0.25
0.42 = 0.75
Which is not true.
Therefore, x = -1.25 is not the answer.
Option (3)
For x = 0.75
[tex]2^{0.75}=1-3^{0.75}[/tex]
1.68 = 1 - 2.28
1.68 = -1.28
Which is not true.
Therefore, x = 0.75 is not the answer.
Option (4)
For x = 1.25
[tex]2^{1.25}=1-3^{1.25}[/tex]
2.38 = 1 - 3.95
2.38 = -2.95
It's not true.
Therefore, x = 1.25 is not the answer.
A local gym charges a $25 monthly membership fee plus $2 per hour for aerobics classes. What is the linear equation that describes the relationship between the total monthly cost (Y) and the number of class hours each month (X)
Answer:
The equation is same as the equation for a straight line Y= mx+cStep-by-step explanation:
The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is
[tex]Y= mx+c\\\\ Y= 2X+25[/tex]
where Y= the dependent variable, monthly cost
x= the independent variable, the number of hours for aerobic classes
c= the intercept, $25
Victor fue al mercado para comprar manzanas, naranjas y platanos; las naranjas costaron el doble de lo 1ue pago por las manzanas y los platanos costaron 8 pesos menos que pas manzanas, en total gasto 100 pesos. Determina el precio de las manzanas, naranjas y platanos
Answer:
El precio de las manzanas = 27 pesos
El precio de las naranjas = 54 pesos
El precio de las bananas = 19 pesos
Step-by-step explanation:
Los parámetros dados son;
El monto total gastado = 100 pesos
Sea el precio de las naranjas = x
Sea el precio de las manzanas = y
Sea el precio de los plátanos = z
La cantidad pagada por las naranjas = 2 · y = x
La cantidad pagada por los plátanos = y - 8 = z
Por lo tanto, tenemos;
La cantidad total gastada = La cantidad pagada por las naranjas + La cantidad pagada por las bananas + La cantidad pagada por las manzanas
∴ El monto total gastado = 100 pesos = 2 · y + y - 8 + y
100 = 4 · años - 8
4 · y = 100 + 8 = 108
y = 108/4 = 27
y = 27
De
z = y - 8 tenemos;
z = 27 - 8 = 19
De 2 · y = x, tenemos;
2 × 27 = x
x = 54
Por lo tanto;
El precio de las naranjas = 54 pesos
El precio de las manzanas = 27 pesos
El precio de los plátanos = 19 pesos.
need help with my hw make H the subject of the formula x = 5h + 8
Answer:
h = (x - 8)/5
Step-by-step explanation:
Step 1: Write out expression
x = 5h + 8
Step 2: Isolate variable h (Subtract 8 on both sides)
x - 8 = 5h
Step 3: Isolate h (Divide both sides by 5)
(x - 8)/5 = h
Step 4: Rewrite
h = (x - 8)/5
Find the distance between the points J( – 8,0) and K(1, 4).
The exact distance between the two points is
Answer:
The answer is
[tex] \sqrt{97} \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
J( – 8,0) and K(1, 4)
The distance between them is
[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]
We have the final answer as
[tex] \sqrt{97} \: \: \: units[/tex]
Hope this helps you
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
What else would need to be congruent to show that AABC = APQR by SSS?
Giver
AC =PR
BC = QR
A AC = PQ
B. AB = PQ
C. ZAZP
D. ABBA
Answer:
B, because that's the side that wasn't given
Step-by-step explanation:
The statement AB ≅ PQ is required to be congruent.
Option B is the correct answer.
What is triangle congruency?There are ways to prove that two triangles are congruent.
- Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
- Side-Angle-Side (SAS) Congruence.
The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
- Angle-Side-Angle (ASA) Congruence.
The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
- Angle-Angle-Side (AAS) Congruence.
We have,
Side-Side-Side (SSS) Congruence.
The three sides of one triangle are equal to the corresponding three sides of another triangle.
Now,
ΔABC and ΔPQR
AC ≅ PR (given) (side)
BC ≅ QR (given ) (side)
AB ≅ PQ (side)
ΔABC ≅ ΔPQR (SSS)
Thus,
AB ≅ PQ is required to be congruent.
Learn more about triangle congruency here:
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kim places £500 in a bank account the pays 3% simple interest each year
how much interest will she earn each year?
how much will she have in her account after 1 year
What the answer now
Answer:
35.6 yd²
Step-by-step explanation:
Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.
We are Given just 1 side, UV (w). Use the law of sines to find UW (v).
Thus:
[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]
W = 137°
w = 19 yd
V = 180 - (137 + 22) = 21° => sum of triangle
v = ??
Plug in the values and solve for v
[tex] \frac{v}{sin(21)} = \frac{19}{sin(137)} [/tex]
Multiply both sides by sin(21)
[tex] \frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21) [/tex]
[tex] v = \frac{19*sin(21)}{sin(137)} [/tex]
[tex] v = 10 yd [/tex] (approximated)
Find area of ∆UVW:
Area = ½*UV*UW*sin(U)
Area = ½*v*w*sin(U)
= ½*10*19*sin(22)
Area = 35.6 yd² (to nearest tenth)
the sum of two integers is 116. if one of them is -79 find the other integers
Answer:
195
Step-by-step explanation:
So -79 + x = 116
then x = 116 + 79 = 195
Answer:
The sum of two consecutive integers will always be an odd number.
Step-by-step explanation:
-79 + x = 116
x = 116 + 79 = 195
195 is the answer
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Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .
Answer: The correct answer is no solution.
The required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.
Let the two unknown numbers be x and y;
The smaller number is x
The larger number is y
If one number is twice the other number, hence;
y = 2x ................. 1
Also, if the difference of the smaller number and half the larger number is 20, then:
x - y/2 = 20 .................. 2
Substitute the equation 1 into 2 to have:
x - (2x/2) = 20
x - x = 20
Hence the required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.
Learn more here; https://brainly.com/question/13805464
evaluate 15.2% of a 726 + 12.8% of 673
Answer:
196.496
Step-by-step explanation:
0.152x726+0.128x673
110.352+86.144
=196.496
inscribed angles. I need answers asap, thank you!
Answer:
60°
Step-by-step explanation:
The whole circunference is 360° from a central angle
so from an inscribed angle is 180°
notice that arc ABC + arc ADC make the whole circunference
so the inscribed angles that support those arc together must add to 180°
120°+b=180
b=60
from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180
Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?
To get the area simply multiply the length by the width.
(3x^2+5x+10)(x^2-3x-1) = 3x^4 - 4x^3 - 8x^2 - 35x - 10
Answer:
the answer is A
Step-by-step explanation:
got it right on edge
a quarter of the sum of a number and 87 pls help me¡¡¡
Answer:
(x + 87)/4
Step-by-step explanation:
"a quarter" = 0.25 by numerical value.
"the sum of a number (x) and 87" = x + 87
Combine the two terms:
"the sum of a number (x) and 87" + "a quarter of the sum..." = (x + 87) * 0.25 = (x + 87)/4
(x + 87)/4 is your answer.
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If a 100-pound block of ice is placed on an inclined plane that makes an angle of 35° with the horizontal, how much friction force will be required to keep it from sliding down the plane? Choose the equation that could be used to solve the problem if x represents the force required to keep the block from sliding down the plane.
Answer:
F = 100(.5736)
= 57.36 lbs. (rounded off to 2 decimal places)
2) sin60 = .866
F = 18(.866)
= 15.59 lbs. (rounded off to 2 decimal places)
Step-by-step explanation:
F = friction
Answer:
100sin35° = x
Step-by-step explanation:
I did the assignment, this was the correct answer for me.
Solve (s)(-3st)(-1/3)
Answer:
Step-by-step explanation
A plane set off to Paris at a speed of 300mph. On the return flight of 12 hours, the plane cruised at 242mph. How many hours long was the flight to Paris
Answer:well the answer is 2 hours 16 minutes.
Step-by-step explanation:
To find your plane's rate of speed, you calculate the distance ... amount of time in the air (2 hours and 16 minutes) to.
22/55 of a number is what percentage of that number
Answer:
[tex]\boxed{40}[/tex]
Step-by-step explanation:
Divide 22/55 to get 0.4.
Multiply 0.4 * 100 to get 40.
That value is your percentage.
Answer:
40 percent
Step-by-step explanation:
22/55
simplify by 11
2/5
multiply by 20
40/100
turn to percent
40 percent
Hugh works in a Fish Packing Plant at Rocky Bay in British Columbia. He work 30 hours per week, 40 weeks a year, and earns $12.08 per hour. Find his weekly gross salary. Find his weekly net pay (deduct Federal, Provincial Income tax, CPP, EI Premiums).Calculate his yearly net pay and Calculate the percent of his gross income that is deducted each year.
Answer:
The answer is below
Step-by-step explanation:
a) Weekly gross salary is the product of the number of hours worked per week and earnings per hour. It is given as:
Weekly gross salary = number of hours worked per week × earnings per hour = 30 hrs / week × $12.08/hr = $362.4
b) Using claim code 2 for the weekly gross salary, Federal tax = $16.05, CPP = $14.61, provisional income tax = $0.6 and EI = $6.27
Total deductions = $16.05 + $14.61 + $0.6 + $6.27 = $37.53
Weekly net pay = Weekly gross salary - Total deductions = $362.4 - $37.53 = $324.87
c) Yearly net pay = weekly net pay × number of weeks in a year = $324.87 × 52 = $16893.24
d) percent of his gross income deducted yearly = weekly deductions / weekly gross income × 100% = 37.53 / 362.4 × 100% = 10.4%
A rectangle's length and width are in a ratio of 3:1. The perimeter is 72 inches. What are the length and width?
Answer:
Step-by-step explanation:
If the sides exist in a ratio to one another, then when you multiply some number x by both the length and the width, they still remain as a ratio. The length will be 3x and the width will be 1x. The perimeter formula is
P = 2L + 2W and since our perimeter is 72 and we have both the length and the width, we can fill in the formula and solve for x:
72 = 2(3x) + 2(1x) and
72 = 6x + 2x and
72 = 8x so
9 = x.
If x = 9, then 1x = 9 and 3x = 27. Let's check the perimeter against those side lengths.
P = 2(3x) + 2(1x) and
P = 2(27) + 2(9) and
P = 54 + 18 so
P = 72
and you're done! (The bold numbers above are the width and length, respectively.)
there 5 panakes in a stack.Elise make 40 pankcankes. How many stacks does Elise make?
Answer:
There are 8 stacks
Step-by-step explanation:
Take the number of pancakes and divide by the number in a stack to determine the number of stacks
40/5 = 8
There are 8 stacks
Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.
Answer:[tex]14cm^{2}[/tex]
Step-by-step explanation:
diameter=7.3cm
radius=[tex]\frac{diameter}{2}[/tex]
=[tex]\frac{7.3}{2}[/tex]
=3.65cm
angle =120°
area=[tex]\frac{angle (tita)}{360}[/tex] × [tex]\frac{\pi r^{2} }{1}[/tex]
=[tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] ×[tex]3.65^{2}[/tex]
=[tex]13.95cm^{2}[/tex]
≅[tex]14cm^{2}[/tex]
Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?
Answer:
7
Step-by-step explanation:
If we call the number of worms in a can x, we can write:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 7 worms
1. What is the solution to 6m – 10 = 22 – 2m ?
Answer:
The value of m in the given equation is 4.
Step-by-step explanation:
6m - 10 = 22 - 2m
Add 2m on both sides of the equation.
8m - 10 = 22
Add 10 to both sides of the equation.
8m = 32
Divide by 8 on both sides of the equation.
m = 4
The value of m is 4.
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Which sets of points does NOT represent a function?
A. (-2, 1), (6, 3), (5, 1), (-4, 6)
B. (-7, 3), (1, 2), (5, 3), (-7, 2)
C. (-4, -3), (-1, 2), (0, 5), (3, 2)
D. (-5, -1), (-2, -1), (1, -1), (4, -1)
B has two pre-images of -7 so it is not a function
B. (-7, 3), (1, 2), (5, 3), (-7, 2)
Since
x = − 7 produces y = 3 and y = 2
So the relation is not a function.
A cotton candy vendor has 27 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?
Answer:
36
Step-by-step explanation:
Let the total number of cotton candy = A
Number of blue cotton candy = 27 cones
Percentage of blue cotton candy = 75%
Therefore, the total number of cotton candy is calculated as:
27/A × 100 = 75%
2700/A = 75
Cross Multiply
75A = 2700
A = 2700/75
A = 36
Therefore, the amount of total cotton candy that we have is 36.