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sergiy2304 [10]
3 years ago
8

Write a polynomial equation for each set of roots 5 and 7

Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:

x²-2x-35

Step-by-step explanation:

(x-7)(x+5)

x²+5x-7x-35

x²-2x-35

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A) Model this situation with a linear system:
sergejj [24]

Answer:

The daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

Step-by-step explanation:

Since to rent a car, a person is charged a daily rate and a fee for each kilometer driven, and when Chena rented a car for 6 days and drove 320 km, the charge was $ 286.00, while when she rented the same car for 10 days and drove 900 km, the charge was $ 605.00, to determine the daily rate and the fee for each kilometer driven the following calculation must be performed:

286 = 6 days and 320 km

320/6 = 53,333 km

286/6 = $ 47,666

Thus, the value of 1 day and 53,333 km is $ 47,666.

605 = 10 days and 900 km

900/10 = 90 km

605/10 = $ 60.5

Thus, the value of 1 day and 90 km is $ 60.5.

90 - 53,333 = 36,666

60.5 - 47.666 = 12.833

12,833 / 36,666 = value per kilometer traveled

0.35 = value per kilometer traveled

(286 - (0.35 x 320)) / 6 = X

(286/112) / 6 = X

174/6 = X

29 = X

(605 - (0.35 x 900)) / 10 = X

(605 - 315) / 10 = X

290/10 = X

29 = X

Therefore, the daily rate is $ 29 and the fee for each kilometer driven is $ 0.35.

3 0
3 years ago
Which graph models the function F(x)=-2(3)^x
andrey2020 [161]

Answer:

Given the function: y= -2(3)^x                                .....[1]

An exponential function is in the form of y=ab^x.

  • If a< 0 and b <1, then the graph is increasing
  • If a< 0 and b >1 , then the graph is decreasing.
  • If  a> 0 and b<1, the the graph is decreasing.
  • if a< 0 and b > 1. then the graph is increasing.

From the given equation [1] we have;

Here, a = -2 < 0 and b = 3 > 1.

For this function, x-intercepts doesn't exist, as it does not crosses the x-axis graph.

y-intercept states that the graph crosses the y-axis.

Substitute value of x =0 in [1] to solve for y;

y = -2(3)^0

y = -2

y-intercept = (0, -2)

End Behavior of the given graph :

If x \rightarrow \infty , then f(x) \rightarrow -\infty

and

If x \rightarrow -\infty, then f(x) \rightarrow 0

Also, You can see the graph as shown below in the attachment.


3 0
3 years ago
Read 2 more answers
Mrs. Williams needed to make 4 1/2 of fruit salad for a class party.
ziro4ka [17]

Answer:

strawberry=7/8

Step-by-step explanation:

treat strawberry as x

add on proportions

1 1/8+ 3/4+ 1 3/4 + x = 4 1/2

(9+6+14)/8 + x = 9/2

29/8 +x = 9/2

x= 9/2 - 29/8

x= (36-29)/8

x=7/8

3 0
3 years ago
What is the distance between the points (-3,-2) and (6, 10)?
Alja [10]

Answer:

The distance between (-3,-2) and (6, 10) =15

Step-by-step explanation:

The distance between the two points having given coordinates can be find by using the distance formula.

i.e  Distance= \sqrt{(x_2-x_1)+(y_2-y_1)}

For the given coordinates (-3,-2) and (6, 10)  the distance between the two points is :

Distance = \sqrt{(6-(-3))^2+(10-(-2))^2} \\=\sqrt{(6+3)^2+(10+2)^2}\\ =\sqrt{9^2+12^2}\\ =\sqrt{81+144} \\=\sqrt{225} \\=15

8 0
3 years ago
Read 2 more answers
How many of these equations have the solution 2 = 12?
tino4ka555 [31]

Step-by-step explanation

i don't understand option B

3 0
4 years ago
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