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dimaraw [331]
3 years ago
9

The speed of a toy car over time can be represented by a parabola with minimum speed 2 m/s after 3 seconds. After 5 seconds, the

car's speed is 3 m/s. What is the equation in vertex form of a parabola that represents the car's speed, y, over time, x?
Mathematics
2 answers:
inn [45]3 years ago
5 0

Answer:

Step-by-step explanation:

y=ax²+bx+c

x=0,y=0,c=0

y=ax²+bx

2=9a+3b (×-5)

3=25a+5b(×3)

add

9-10=75a-45a+15b-15b

30a=-1

a=-1/(30)

2=9×(-1/30)+3b

3b=2+3/10=23/10

b=23/30

y=-1/30 x²+23/30=-1/30(x²+23x+(23/2)²)+1/30 ×(529/4)

y=-1/30(x+23/2)²+529/120

wel3 years ago
4 0
You have to solve x multiplying y
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Help what is the answer to this'
Ahat [919]

Answer:

Your answer is  x \geq 77

Step-by-step explanation:

\frac{x}{7} \geq  8+3

\frac{x}{7}  \geq  11

\frac{x}{7 }  * 7 \geq 11*7

x \geq  77

Hope this helps!

7 0
3 years ago
A line passes through the points (-5, 2) and (10.-1). Which is the equation of the line?
Igoryamba

Answer:

y= -1/5x + 1

Step-by-step explanation:

When looking for a line between two points, you want to use the following formula: (y2-y1)/(x2-x1) which finds your distance between points for the y and x coordinate to solve for your slope. y1 is the y coordinate from the first given point and x1 is the x coordinate from the first given point as well. this would go the same for x2 and y2 for the second given equation.

Next, we plug in our values so that we get (-1-2)/(10-(-5)). This will then lead us with -3/15 which simplifies to -1/5. This is our slope. Now that we have our slope we can rule out every option except the first for the answer. However, if we want to look for the entire answer we need to plug in one of our given values in the formula we have: y=-1/5x.

So to find the y-intercept, we can plug in any of the given coordinates so we can fo (10,-1) so that -1=-1/5(10)+b (b what added because we are putting the equation in slope-intercept, therefore we need to find the value b.) So we are left with -1=-2+b now we want to isolate b by adding 2 on both sides to cancel -2 and get 1=b. This would leave us with the equation y=-1/5x+1.

5 0
3 years ago
At the beginning of the months, a consumer had $437.52 of in his bank account. During he made deposits of $256 and $217.14 of $8
alexdok [17]

<em>Question:</em>

<em>At the beginning of the months, a consumer had $437.52 of in his bank account. During which he made deposits of $80, $256 and $217.14 and write checks of $115.98 and $108.90 - What balance left? </em>

<em></em>

Answer:

The customer's balance is $765.78

Step-by-step explanation:

Given

Start Amount = $437.52

Deposits = $80, $256 and $217.14

Withdrawals (Checks) = $115.98 and $108.90

Required

Determine his balance

We start by calculating the total deposits made by the customer

Total\ Deposits = \$80 + \$256 + \$217.14

Total\ Deposits = \$553.14

Next, we calculate the total withdrawals (checks)

Total\ Withdrawals = \$115.98 + \$108.90

Total\ Withdrawals = \$224.88

At this point, we can now calculate the customer's balance as follows;

Balance =Start\ Amount + Total\ Deposits - Total\ Withdrawals

Balance = \$437.52+ \$553.14 -\$224.88

Balance = \$765.78

<em>Hence, the customer's balance is $765.78</em>

3 0
3 years ago
6 and 7? Geometry homework
Rashid [163]

Answer:

Step-by-step explanation:

6) triangle ABC is similar to triangle DEC. It means that

AB/DE = BC/EC = AC/DC

Therefore,

6/21 = 10/y

Cross multiplying, it becomes

6y = 210

y = 210/6

y = 35

Also

6/21 = x/28

Cross multiplying, it becomes

6 × 28 = 21x

21x = 168

x = 168/21

x = 8

7) triangle JKL is similar to triangle NMP. It means that

JK/NM = KL/MP = JL/NP

Therefore,

49/14 = (9x + 1)/(x + 5)

Cross multiplying, it becomes

49(x + 5) = 14(9x + 1)

49x + 245 = 126x + 14

126x - 49x = 245 - 14

77x = 231

x = 231/77

x = 3

4 0
4 years ago
Find the value of x.
larisa86 [58]

Answer:

x + 1 + x + 3 = 180

by vertically opposite angle theorem

x + x + 1 + 3 = 180

2x + 4 = 180

2x = 180 -  4 = 176

x =  \frac{176}{2}

x = 88

have a nice day

8 0
3 years ago
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