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iris [78.8K]
3 years ago
12

Factor 100−140x+49x^2 ="BLANK"

Mathematics
1 answer:
SashulF [63]3 years ago
6 0
The answer is (7x +10)^2
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Are these numbers reciprocals -7 and 7?
zhannawk [14.2K]

Answer:

no

Step-by-step explanation:

A reciprocal is a number's fraction swapped:

1/5 would turn into 5/1 for the reciprocal.

-7 and 7 are opposite numbers.

4 0
3 years ago
Read 2 more answers
A 4.00-kg box sits atop a 10.0-kg box on a horizontal table. The coefficient of kinetic friction between the two boxes and betwe
mamaluj [8]
Newton’s second law for the system of two boxes in the x-direction is given by: 
F - f k = (m + M )a
F - µk (m + M )g = (m + M )a
⇒ a = (F/m + M) - µkg = (150N / (4kg+10kg)) - 0.6(9.8m/s² ) = 4.83m/s²

For the top box, we get fs = ma = 4kg x 4.83m/s² =19.3N
6 0
3 years ago
What is an equation of the line that passes through the point (0, 1) and has a slope of 3
qaws [65]
C because it goes through the point(0,1) and has a slope of 3

7 0
4 years ago
Solve each system by substitution. y=3x+4 y=4x+7
Y_Kistochka [10]

We need to solve the following system by substituition:

\begin{cases}y=3x+4 \\ y=4x+7\end{cases}

To solve by substituition means that we need to isolate one variable in one of the equations and replace one expression with the other. This is done below:

\begin{gathered} (3x+4)=4x+7 \\ 3x+4=4x+7 \\ 3x-4x=7-4 \\ -x=3 \\ x=-3 \end{gathered}

Then we need to replace the value of "x" in any of the two equations.

\begin{gathered} y=3\cdot(-3)+4 \\ y=-9+4 \\ y=-5 \end{gathered}

The solution is (-3,-5).

4 0
1 year ago
If you rent a car for one day and drive 225 miles, the cost is $80. If you drive 350 miles in one day, the cost is $105. Let cm)
kolezko [41]

Answer:

a) (x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)

And we want to find a function:

C (m) = b_1 m + b_0

We can find the slope with this formula:

b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2

And then we can use the point  (x_1 = 225, y_1 = 80) to find the intercept b_o and we got:

80 = 0.2*225 +b_0

b_0 = 80-45 = 35

So then the linear function is given by:

C(m) = 0.2 m + 35

b) For this case we have that m = 475 so we can replace into the function to find the cost like this:

C(m =475) = 0.2*475 + 35 = 130

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

155 = 0.2m + 35

155-35= 120 = 0.2 m

m= \frac{120}{0.2}= 600 mi

Step-by-step explanation:

For this case we can define the following notation:

m= represent the miles travelled

C= represent the cost

Part a

For this case we have the following two points given:

(x_1 = 225, y_1 = 80) , (x_2 = 350, y_2 = 105)

And we want to find a function:

C (m) = b_1 m + b_0

We can find the slope with this formula:

b_1= \frac{105-80}{350-225}= \frac{25}{125}=0.2

And then we can use the point  (x_1 = 225, y_1 = 80) to find the intercept b_o and we got:

80 = 0.2*225 +b_0

b_0 = 80-45 = 35

So then the linear function is given by:

C(m) = 0.2 m + 35

Part b

For this case we have that m = 475 so we can replace into the function to find the cost like this:

C(m =475) = 0.2*475 + 35 = 130

And for the other case we have a cost of 155 and we want to find the number of miles associated so we can do this:

155 = 0.2m + 35

155-35= 120 = 0.2 m

m= \frac{120}{0.2}= 600 mi

6 0
3 years ago
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