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Flauer [41]
3 years ago
9

Select ALL the correct answers. Select all functions that have a y-intercept of (0,5).

Mathematics
1 answer:
otez555 [7]3 years ago
7 0
1.) f(x)=7(b)^x-2
x=0→f(0)=7(b)^0-2=7(1)-2=7-2→f(0)=5→(x,f(x))=(0,5) Ok

2.) f(x)=-3(b)^x-5
x=0→f(0)=-3(b)^0-5=-3(1)-5=-3-5→f(0)=-8→(x,f(x))=(0,-8) No

3.) f(x)=5(b)^x-1
x=0→f(0)=5(b)^0-1=5(1)-1=5-1→f(0)=4→(x,f(x))=(0,4) No

4.) f(x)=-5(b)^x+10
x=0→f(0)=-5(b)^0+10=-5(1)+10=-5+10→f(0)=5→(x,f(x))=(0,5) Ok

5.) f(x)=2(b)^x+5
x=0→f(0)=2(b)^0+5=2(1)+5=2+5→f(0)=7→(x,f(x))=(0,7) No

Answers:
First option: f(x)=7(b)^x-2
Fourth option: f(x)=-5(b)^x+10 
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The set of x values of a function is another name for domain. and the set of y values of a function is another name for range.

hope this helps, God bless!
5 0
3 years ago
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.
Minchanka [31]

Answer:

a. i) Please see the  included graph of the equation $10·x + $12·y = $300

ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered

Step-by-step explanation:

The given information are;

The cost of each short-sleeved shirt = $10

The cost of each long-sleeved shirt = $12

The amount available in the budget = $300

The equation for the total cost = $10·x + $12·y = $300

Where;

x = The number of short-sleeved shirts

y = The number of long-sleeved shirts

Rewriting the equation given in slope and intercept form, we have;

$10·x + $12·y = $300

$12·y = $300 - $10·x

y = $300/$12 - $10·x/$12

y = 25 - 5/6·x

Please find attached, the graph of the equation made with Microsoft Excel

The values of the data that can calculated to plot the graph are;

x, y

(0, 25 )

(5, 20.83 )

(10, 16.67)

(15, 12.5 )

(20, 8.33)

(25, 4.17)

(30, 0 )

The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.

8 0
3 years ago
Find the slope and the
IgorC [24]

Answer:

the slope is 4 and the y-intercept is -5

Step-by-step explanation:

slope s what ever is next to the x

y-intercept is like the "normal" number.

8 0
3 years ago
What is the value of the expression i^0 * i^1 * i^2 * i^3 * i^4? A. 1 B. -1. C. i. D. -i
Nastasia [14]
This would be 1 * i * -1 * -i * 1  =  -i * -i * 1 = i^2 = -1
3 0
3 years ago
Read 2 more answers
Help please only if you know!!!
gulaghasi [49]
#5. looks fine.
The roots are { +√(6) , -√(6) , -2, 2 }

#6. 12x³ + 26x² - 10x
factor out 2x  
2x(6x² + 13x - 5) = 0
one root is zero

factor for other two roots, only 5×1 = 5
(3x-1)(2x+5)
3x - 1 = 0
3x = 1
x = 1/3

2x + 5 = 0
2x = -5
x = -5/2

roots are { 0, 1/3, -5/2 }


EDIT** forgot #7

#7. 125x³ + 8 = 0

125x³ = -8
x³ = -8/125
x = ∛(-8/125)

root of a fraction is the root of the numerator and denominator, negative can be on either numerator or denominator. overall fraction should be negative to subtract from the 8 to give zero.

∛(-8) = +/- 2
∛(125) = 5

root { -2/5 }

7 0
4 years ago
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