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Maurinko [17]
3 years ago
6

Please help. Will grant brainliest!!

Mathematics
2 answers:
STALIN [3.7K]3 years ago
8 0

Answer:

the first one

Step-by-step explanation:

Add r to the other side

multiply each side by e^2

divide by m-y+r

then sqaure root it

makkiz [27]3 years ago
5 0

Answer: 1st option

Step-by-step explanation:

I've attached the solution

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Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
Here are three diffrent recipes for orangey-pinapple juice. Two of these mixtures taste the same and one taste diffrent. Recipe
arsen [322]
Recipe 1 : 4 cups oj with 6 cups pineapple.....ratio of 4/6 reduces to 2/3

recipe 2 : 6 cups oj with 9 cups pineapple...ratio 6/9 reduces to 2/3

recipe 3 : 9 cups oj with 12 cups pineapple....ratio 9/12 reduces to 3/4

so recipe 1 and recipe 2 will taste the same because the ratios are the same...and recipe 3 will be the different tasting one because it has a different ratio mixture
8 0
3 years ago
Someone please help explain how to find x
dimaraw [331]

Answer:

x=27

Step-by-step explanation:

180-2x-40+180-3x+180-x-50+180-4x = 360

360-2x-40-3x+360-x-50-4x= 360

360-10x-90= 0

10x= 270

x= 27

5 0
3 years ago
Perform the requested operation or operations.
alukav5142 [94]
f(x) = \frac{x-3}{5}
g(x) = 5x+3
g(f(x)) = 5(\frac{x-3}{5})+3 = x-3+3 = x

EDIT:
f(g(x))=\frac{(5x+3)-3}{5}=\frac{5x+0}{5}=\frac{5x}{5}=x
4 0
3 years ago
What is the slope of the line created by this equation?Round your answer out to two decimal places.3x+5y=7
tia_tia [17]

The given equation is

3x+5y=7

Consider the slope-intercept form.

y=mx+b

Rewriting the given equation in the slope-intercept form.

3x+5y=7

Subtracting 3x from both sides, we get

3x+5y-3x=7-3x

Dividing both sides by 5, we get

\frac{5y}{5}=\frac{7-3x}{5}y=-\frac{3}{5}x+\frac{7}{5}

y=-0.6x+1.4

Compared to the slope-intercept form, we get m=-0.6 and b=1.4.

Hence the slope m= -0.60.

4 0
1 year ago
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