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2 years ago

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Two objects are moving along separate linear paths where each path is described by postion, d, and time, t. The variable d is me

asured in meters and the variable t is measured in seconds. The equation describing the graph of the postion of the first object with respect to time is d=2.5t+2.2. The graph of the the position of the second object is a parallel line passing through (t=0,d=1). What is the equation of the second graph.
A) d=2.5t+1
B) d=-0.4t+1
C) d=2.5t+3.2

2 answers:

Brums [2.3K]2 years ago

6 0

Linear equation: d = m t + b

If the graph of the position of the second object is parallel to d = 2.5 t +2.2, than m = 2.5

t = 0, d = 1

1 = 2.5 · 0 + b

b = 1

Answer: A ) d = 2.5 t + 1

Also correct on Plato :) , just scored a 100%

fiasKO [112]2 years ago

3 0

Linear equation: d = m t + b
If the graph of the position of the second object is parallel to d = 2.5 t +2.2, than m = 2.5
t = 0, d = 1
1 = 2.5 · 0 + b
b = 1
Answer: A ) d = 2.5 t + 1

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mars1129 [50]

Answer:

$1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},$

Step-by-step explanation:

$1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}$

$2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}$

3. This problem incorporates an exponent property.

Exponent property used: $a^b\cdot a^c=a^{(b+c)}$ , yielding an answer of $\boxed{5}$

$4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}$

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2 years ago

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The price of a visit to the dentist is $50 . If the dentist fills any cavities, an additional charge of, 100$ per cavity gets ad

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The cost of the visit to the dentist can be expressed as the cost equals 100x+50.

The initial cost of the appointment would be $50; no matter how many cavities one has, they would still have to pay $50.

The cost of each cavity is represented as 100x, because each cavity costs $100. x represents the number of cavities, as we do not know how many cavities there are.

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2 years ago

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The product of two numbers is 20. If one of the numbers is 4/7 what is the other number?

TiliK225 [7]

Answer:

35

Step-by-step explanation:

1. Translate the question into an equation:

$\frac{4}{7}x = 20$

2. Multiply both sides by 7/4.

$\frac{4}{7}x * \frac{7}{4} = 20 * \frac{7}{4}$
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2 years ago

Five-sevenths minus four-sixths

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5/7-4/6
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2 years ago

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For the given quadratic equation convert into vertex form, find the vertex and find the value for x=6 Y=-2x^2+2x+2

Serga [27]

Answer:

Part 1) The vertex is the point (0.50,2.50)

part 2) $y=-58$

Step-by-step explanation:

we have

$y=-2x^{2} +2x+2$

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Group terms that contain the same variable, and move the constant to the opposite side of the equation

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$y-2=-2(x^{2} -x)$

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The vertex is the point (0.50,2.50)

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substitute the value of x in the equation

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$y=-58$

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3 years ago