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Bond [772]
3 years ago
8

Help with these questions please!

Mathematics
2 answers:
Marysya12 [62]3 years ago
7 0

I know this isn't helpful, but I REALLY need help on this question...

Given: f(x) = x^2 + 7x + 10. From the Rational Root Theorem, we know p=10 and q=1. List all potential roots using the ratio p/q.

Alisiya [41]3 years ago
4 0

Answer:

1.  16

2.  -4

Step-by-step explanation:

First factor the expression

lim x→1  (x^3 + 5x^2 + 3x-9)/(x-1)

lim x→1  (x-1) (x+3)^2/(x-1)

Canceling the x-1  in the top and bottom

lim x→1   (x+3)^2

Let x=1

lim x→1   (1+3)^2 = 4^2 = 16


2.  lim x→0 (x^2 -6x+8) /(x-2)          

First factor the expression

    lim x→0 (x-4) (x-2) /(x-2)        

Canceling the x-2  in the top and bottom

lim x→0 (x-4)

Let x=0

lim x→0   (0-4) = -4

Filling in the table

x     -.1      -.01       -.001     .001     .01     .1

f(x) -4.1  -4.01    -4.001   -3.999   -3.99  -3.9

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Step-by-stp explanation:

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3 years ago
The point (4,-2) is the vertex of the graph of a quadratic function. The points (8,6) and (2,0) also fall on the graph of the fu
Elina [12.6K]

Answer:

Step-by-step explanation:

y = ax² + bx + c

~~~~~~~

(4, - 2), (8, 6), (2, 0)

a(4²) + b(4) + c = - 2

a(8²) + b(8) + c = 6

a(2²) + b(2) + c = 0

16a + 4b + c = - 2 .............. <em>(1)</em>

64a + 8b + c = 6 ............... <em>(2)</em>

4a + 2b + c = 0 ................. <em>(3)</em>

a = 0.5 ; b = - 4 ; c = 6

<em>y = 0.5x² - 4x + 6</em>

Part A: (0, 6), (6, 0)

Part B: (0,6)

Part C: (6, 0)

Part D: [ 4, ∞ )

4 0
3 years ago
Analyze the following table of values.<br><br> y=1/2x<br> y=1/2^x2+4<br> y=4^x2+1/2<br> y=4(1/2)x
Fittoniya [83]

The table models an exponential relationship, and the equation of the table is y = 4(1/2)^x

<h3>How to analyze the table of values?</h3>

The table of values is given as:

x  0   1    2   3    4

y  4   2    1   1/2  1/4

The above table shows an exponential model

An exponential model is represented as:

y = ab^x

When x = 0 and y = 4, we have

ab^0 = 4

Evaluate

a = 4

When x = 1 and y = 2, we have

ab^1  = 2

Evaluate

ab  = 2

Substitute 4 for a

4b  = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in y = ab^x

y = 4(1/2)^x

Hence, the equation of the table is y = 4(1/2)^x

Read more about exponential models at:

brainly.com/question/11464095

#SPJ1

6 0
2 years ago
At the grocery store, you buy a carton of milk for $1.95, a loaf of bread for $0.85, and a box of cereal for $2.05. Use mental m
Ganezh [65]
It is $4.85 add all groceries
3 0
4 years ago
Read 2 more answers
A theater has 60 seats on the front row. There are seven additional seats in each following row.
maksim [4K]

Answer:

(a) y(x)=53+7x

(b) 179

Step-by-step explanation:

Since the first row has 60 seats and next row has 7 additional seats then we can represent it as

First row=60

Second row=60+7=67

Third row=67+7=74

The difference is always 7. If you deduct 7 from dirst row we get 60-7=53 seats

To get rhe number of seats in any row x then let y be the number of seats in row x

y=53+7(x)

For raw 1

Y=53+7(1)=60

For raw 2

Y=53+7(2)=67

Therefore, the formula for number of seats at any row will be

y(x)=53+7(x)

(b)

Using the above formula

y(x)=53+7(x)

Replace x with 18 hence

Y(18)=53+7*(18)=179 seats

5 0
3 years ago
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