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2 years ago

Solve the equation Square root of x minus 5+ 7 = 11 for the variable. Show each step of your solution process. (10 points)

Mathematics

1 answer:

Murrr4er [49]2 years ago

5 0

$\sqrt{x - 5} + 7 = 11$

$(\sqrt{x-5}) ^{2} = (4)^{2}$

|x - 5| = 16

x - 5 = +/- 16

x - 5 = 16 or x - 5 = -16

+5 +5 +5 +5

x = 21 or x = -11

Answer: x = {21, -11}

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Which equation results from adding the equations in this system? 11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18.

Scorpion4ik [409]

Answer:

7x = - 35

Step-by-step explanation:

Equation 1 :

11x - 3y = - 17

Equation 2 :

-4x + 3y = - 18

Equation 1 + 2

11x - 3y = - 17

-4x + 3y = - 18

_____________

11x - 4x - 3y + 3y = - 17 + (-18)

7x = - 35

4 0

2 years ago

I need help figuring out if this is a function or not and why

Kipish [7]

Answer:

4) is a function 5) is not a function

Step-by-step explanation:

4) This is a function because even tho some numbers in the domain have the same y value that doesnt mean the x values overlap. THink of it graphically or draw points do the points overlap? It shouldn't unlike question 5!

5) This is NOT a function. Why??? This is because now all numbers except 4 have more than one y value for one x value

for example: 1 has -1 and 3

That would overlap!!

8 0

1 year ago

Find the vertex, zero(s), and y-intercept of the graph of y = 2x2 + 8x – 90. A. Vertex: (–2,–98); zeros: (–5,0), (9,0) y-interce

expeople1 [14]

Answer:

vertex is (-2,-98)

zeros are (5,0) (-9,0)

y-intercept is (0,-90)

Step-by-step explanation:

we are given

$y=2x^2+8x-90$

Vertex:

we can use vertex formula

$y=ax^2+bx+c$

$x=-\frac{b}{2a}$

we can compare and find a,b and c

a=2 , b=8 and c=-90

so, we can plug it in formula

$x=-\frac{8}{2\times 2}$

$x=-2$

now, we can find y-value

$y=2(-2)^2+8(-2)-90$

$y=-98$

so, vertex is (-2,-98)

zeros:

we can set y=0

and then we can solve for x

$y=2x^2+8x-90=0$

we can factor it

$2(x-5)(x+9)=0$

$x=5,x=-9$

zeros are

(5,0) (-9,0)

y-intercept:

we can plug x=0 and find y

$y=2(0)^2+8(0)-90$

$y=-90$

So, y-intercept is (0,-90)

6 0

2 years ago

Please help quickly !

Lyrx [107]

Answer:

a,c

Step-by-step explanation:

if Jen covered m miles.

$m=\frac{1}{3}(45,000)\\and ~3~(m)=45,000\\$

3 0

2 years ago

The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A.

CaHeK987 [17]

Complete Question:

The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A. 5(0.06)^7 B. 5(7)(0.06) C. 5(1.06)^7 D. 5(7)(1.06)

Answer:

C. 5(1.06)^7

Step-by-step explanation:

The volume of a tree increases by 7% every year

The formula we would be using is

V(t) = Vo (1 + r)t

Where V(t) = Volume after t years

Vo = Present of initial volume

r = rate of increase

t = time

From the question,

V(t) = Volume after t years = unknown

Vo = Present of initial volume = 5m³

r = rate of increase = 6% = 0.06

t = time = 7 in years

V(t) = 5 × ( 1 + 0.06)^ 7

V(t) =(5)(1.06)^7

Therefore, its volume be after 7 years if its volume is 5 cubic meters now is

Option C: (5)(1.06)^7

4 0

2 years ago