Evaluate and simplify expressions

Pls put the solution as well

Answer:

i got u c

Step-by-step eplanation:

x=7 is the solution for the given equation

x=4 is the extraneous solution .

Given :

[tex]\sqrt{x-3} +5=x[/tex]

Explanation :

To solve the given equation for x , we need to remove the square root first

Subtract 5 on both sides

[tex]\sqrt{x-3}+5=x\\ \sqrt{x-3}=x-5\\\\[/tex]

Take square on both sides to remove square root

[tex]x-3=(x-5)^2\\x-3=x^{2} -10x+25\\[/tex]

Subtract x  and add 3 on both sides

[tex]0=x^{2} -11x+28\\0=(x-7)(x-4)\\[/tex]

Set the factors =0 and solve for x

[tex]x-7 =0\\x=7\\\\\\x-4=0\\x=4[/tex]

x values are 4  and 7

Now we check the values using original equation and verify it

[tex]x=4\\\sqrt{x-3} +5=x\\\sqrt{4-3} +5=4\\\\6=4 \\[/tex]

x=4 does not satisfies the original equation

Now we check x=7

[tex]\sqrt{7-3} +5=7\\7=7[/tex]

x=7 is the solution  

Learn more :  brainly.com/question/13401711

Answer:

DCC

Step-by-step explanation:

CDDCDC

Different type of spaghetti dinners is 8

What is combination ?

"The number of possible arrangements in a collection of items where the order does not matter."

For 4 different shaped of noodles = ⁴c₁

                                             ⁴c₁ = 4        

For two kinds of cheese = ²c₁

                                         ²c₁ = 2

Now , multiplying these  4×2 = 8

Hence, 8 type of spaghetti dinners

For more about combination

https://brainly.com/question/21306575

#SPJ2

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

Answer:

y = 3/4m + 2

Step-by-step explanation:

Distance from point 1 to point 2 is up 3, over 4

Point 1 intercepts (0, 2).

Answer:

A line is a straight path of points that has no beginning or end

A line segment is a portion of a line that has two endpoints

A ray is a portion of a line which has one endpoint and extends forever in one direction

Complementary angles are two angles whose sum adds up to 90 degrees

Supplementary angles are two angles that add up to 360 degrees

Answer:

-5s = 5

S= - 1

Step-by-step explanation:

Udndkdjdndjxbdnekdjdndkdjdjd

Answer:

hi i am new in this app can u help

Step-by-step explanation:

hi miss can you help

Answer:

hope it helps you........

Answer:

2n-3m

=2(4)-3(3)

=8 - 9

= -1

Answer:

Step-by-step explanation:

Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.

The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

As the highest power of x in the expression is 6, the degree is 6

Answer:

3x6+2x5+6x3−5

Standard Form

Step-by-step explanation:

HAVE A BLESS DAY :D

Answer: 8.9969323e+15

Answer:

2

Step-by-step explanation:

steps are in picture.Ignore hand writing

Hi ;-)

f(x) = ²/₃x + 3 ∧ f(x) = -5

²/₃x + 3 = -5

²/₃x = -5 - 3

²/₃x = -8  / * ³/₂

x = -12

Answer:

0.8 euro

Step-by-step explanation:

Suppose the price of bottle of lemonade is x, when the bottle of water costs y.

Four bottles of lemonade cost 4x, two bottles of water cost 2y

4x+2y=2.45

Two bottles of lemonade cost 2x, four bottles of water cost 4y

2x+4y= 2.35

These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so

multiply the first one by -2

-8x-4y=-4.9

-8x-4y+2x+4y= -4.9+2.35

-6x=-2.55

x=0.425 euro - the cost of bottle of lemonade

y=(2.45-4*0.425)/2

y=0.375 euro - the cost of bottle of water

0.425+0.375= 0.8 euro - the total cost  of one bottle of

lemonade and one bottle of water

Answer:

price of lenonade bottle is 0.425

price of water bottle is 0.375

Step-by-step explanation:

In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.

All explaination is in picture below.

Answer:

hope this helps you

have a great day

Answer:

[tex] \frac{6 {x}^{2}y - 12 {x}^{4} y + 15 {x}^{3} {y}^{2} - 3 {x}^{2} {y}^{2} }{3 {x}^{2}y } \\ \frac{2 \times 3 {x}^{2}y - 6 {x}^{2} 3 {x}^{2} y + 5xy3 {x}^{2} y - y3 {x}^{2} y}{3 {x}^{2}y } \\ cancel3 {x}^{2} y \: from \: all \: term \\ = \frac{2 - 6 {x}^{2} + 5x y - y }{1} \\ = 2 - 6 {x}^{2} + 5xy - y \\ thank \: you[/tex]

Answer:

[tex]commutative \: property \: of \: addition \\ thank \: you[/tex]

Answer:

3√2

Step-by-step explanation:

−3√2+3√8

=3√2 (Decimal: 4.242641)

Answer:

3√2

~~~~~~~~~~~~~~~

-3√2+ 3√8

-3√2+ 6√2

3√2

Step-by-step explanation:

Answer:32x -72

Step-by-step explanation:

Answer:

72,000

Step-by-step explanation:

20% of 60,000 = 12,000

60,000 + 12,000 = 72,000

Chow,...!

[tex]\\ \sf\longmapsto Area=Length(Breadth)

[tex]\\ \sf\longmapsto Area=(5x+2)2x[/tex]

[tex]\\ \sf\longmapsto Area=10x^2+4x[/tex]

Answer:

12

Step-by-step explanation:

you would divide -2 on both sides to isolate the variable a leaving you with 12

Answer:

12

Step-by-step explanation:

-2a= -24

or, a= -24/-2

:. a= 12

Answer:

do you mean PEMDAS?

Step-by-step explanation:

parenthesis, exponents, multiplication, division, addition, and subtraction

you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

Step-by-step explanation:

1- solve operation in parantheses or brackets.

2- we solve any exponent

3- solve all multiplication and division left to right

Answer: the second to last

Step-by-step explanation: because there’s no multipcation in the first box and if you look at the rest it wou make sense for it to be the second to last

3.5 ounces hope this helps

Answer: C

Hello,

Step-by-step explanation:

WZ=7-3=4

YW²=XW*WZ=3*4=12 ==> WY=2√3

In the right triangle YWZ, using the Pythagorean's theorem:

YZ²=WY²+WZ²=12+4²=28

YZ=2√7≅5.29150....

Answer C

Answer:

The answer is 3/3 or 1

Step-by-step explanation:

I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1

           When [tex]1^{-1}[/tex] = 1

         [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex]

         = [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]

         = [tex]\frac{3}{3}[/tex]

         = 1

Hope that help :D

Answer:

185.22 km

Step-by-step explanation:

Assuming that you forgot the percentage sign In the question. Ann drove 185.22 km on Saturday.