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Goryan [66]
3 years ago
14

Find the solutions to the system; y=x^2-3x-1 and y=8x-1

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

{x}^{2}  - 3x - 1 = 8x - 1 \\  {x}^{2} - 11x = 0 \\ x(x - 11) \\ x = 0 \: or \: x = 11

When x = 0,
y = 8x - 1 \\ y = 0 - 1 \\ y =  - 1

When x = 11
y  = 8(11) - 1 \\ y = 87
x = 0, y = - 1
x = 11, y = 87

Answer is B.

Hope this helps. - M
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Let h(x)=505.5+8e−0.9x . What is h(5) ? rounded to the nearest tenth. any help would be great
Naddik [55]
For this case, the first thing we are going to do is rewrite the function.
 We have then:
 h (x) = 505.5 + 8 * exp (-0.9 * x)
 We evaluate the value of x = 5 in the function.
 We have then:
 h (5) = 505.5 + 8 * exp (-0.9 * 5)
 h (5) = 505.588872
 round to the nearest tenth:
 h (5) = 505.6
 Answer:
 
the value of h (5) is:
 
h (5) = 505.6
3 0
3 years ago
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Evaluate the promblem. 3x+6+5x=86
Mashcka [7]

Answer:

10 or x=10

Step-by-step explanation:

First we can combine like-terms.

8x+6=86

Then subtract 6 from both sides

8x=80

Divide by 8

x=10

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Tennessee Whisky contains 40% alcohol; how many ml of whiskey can be produced with 80ml of alcohol?
anygoal [31]

well we know that we have 80mL and we also know that those 80mL will represent the "solute" or the 40% of the Tennessee whiskey total which we can say is 100%, so if 80 is the 40%, how much will it be for the 100% in mL?

\begin{array}{ccll}mL&\%\\\cline{1-2}80&40\\x&100\end{array}\implies \cfrac{80}{x}=\cfrac{40}{100}\implies \cfrac{80}{x}=\cfrac{2}{5}\implies 400=2x\\\\\\ \cfrac{400}{2}=x\implies \underset{mL}{200}=x

5 0
3 years ago
4. What is 54 + (-78) - (-39)
inysia [295]

Answer:

Step-by-step explanation:

follow the Pemdas order of operations

add and subtract (left to right)

apply the rule +(-a)=-a

+(-78)=-78

=54-78-(-39)

54-78=-24

=-24-(-39)

apply the rule -(-a)=+a

-(-39) =+39

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5 0
1 year ago
I need help please thanks!
Natasha_Volkova [10]

Answer:

f=39

Step-by-step explanation:

hi! first, we can multiply by 12 on both sides to eliminate the 12 in the denominator.

f+3= (7/2)*12

f+3=84/2

f+3=42

now, subtract 3 on both sides.

f=39

7 0
3 years ago
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