Match each equation to the situation it represents.

Answer:

[tex]\fbox{\begin{minipage}{15em}A half-liter of water costs 2.46$\end{minipage}}[/tex]

Step-by-step explanation:

Dominique wants to buy [tex]2[/tex] liters of water.

Case 1:

A half-liter of water costs [tex]2.46[/tex].

The [tex]2[/tex] half-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]A[/tex]) is calculated by multiply  the cost of [tex]1[/tex] half-liter by [tex]2[/tex]:

[tex]A = 2.46[/tex] x [tex]2[/tex] = [tex]4.92[/tex]

=> The cost of two liters: [tex]A_{1}[/tex] = [tex]A[/tex] x [tex]2[/tex] = [tex]4.92[/tex] x [tex]2[/tex] = [tex]9.84[/tex] $

Case 2:

A quarter-liter of water costs [tex]1.48[/tex].

The 4 quarter-liters is [tex]1[/tex] liter => The cost of a liter of water ([tex]B[/tex]) is calculated by multiply the cost of [tex]1[/tex] quarter-liter by [tex]4[/tex]:

[tex]B = 1.48[/tex] x [tex]4[/tex] = [tex]5.92[/tex]

=> The cost of two liters: [tex]B_{1} = 5.92[/tex] x [tex]2[/tex] = [tex]11.84[/tex] $

Compare [tex]A_{1}[/tex] and [tex]B_{1}[/tex], the cost of second buying method is more expensive.

=> She should buy the water, in which a​ half-liter of water costs ​$[tex]2.46[/tex]

Hope this helps!

:)

Answer:

Answer (a)

Step-by-step explanation:

(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.

Since |x| cannot be less than zero, the range of this composite function

(f + g)(x) = |x| + 3 is [3, infinity).  That is, the smallest value is 3.  This corresponds to Answer (a).

Answer:

The slope of the line is D. 3/2.

Step-by-step explanation:

Answer:

[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=\frac{x}{3}-2[/tex]

[tex]f^{-1}(x)=a(x+2)[/tex]

To find: slope, a, of the inverse function and the x-intercept of the inverse function

Solution:

Let [tex]y=f(x)=\frac{x}{3}-2[/tex]

[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]

So, [tex]f^{-1}(x)=3(x+2)[/tex]

On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]

To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]

The slope, a, of the inverse function is  3 , and the x-intercept of the inverse function is at x =  -2 .

Answer:

a

Step-by-step explanation:

Radical roots occur as conjugate pairs

Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then

- 5 - [tex]\sqrt{3}[/tex] t is also a root → a

Answer:

x=-1/2

Step-by-step explanation:

9X = 3X + -3

Reorder the terms:

9X = -3 + 3X

Solving

9X = -3 + 3X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3X' to each side of the equation.

9X + -3X = -3 + 3X + -3X

Combine like terms: 9X + -3X = 6X

6X = -3 + 3X + -3X

Combine like terms: 3X + -3X = 0

6X = -3 + 0

6X = -3

Divide each side by '6'.

X = -0.5

Answer:

Step-by-step explanation:

In an equation, the goal is the isolate the variable. We do this by undoing the operations done to result in the given equation.

Step 1: Subtract 3x

6x = -3

Step 2: Divide by 6

-0.5

Step 3: Check

9(-0.5) = 3(-0.5) - 3

-4.5 = -4.5 ✅

I'm always happy to help :)

Answer:

76.58 feet.

Step-by-step explanation:

A yard is 3 feet. Change each value to feet. So then we have 2 pieces of rope that are each 48 feet in length, 1 piece of rope that is 4.17 feet in length, and 1 piece of rope that is 123.25 feet in length. Add these all together. 223.42 is what you get. Subtract this from 300. You get 76.58.

Answer:

132.25 feet

Step-by-step explanation:

total rope they have now= (2x16)+(1x12.5)+(1x123.25)= 167.75

additional rope needed= 300-167.75= 132.25

Step-by-step explanation:

Answer:

0.25n>0.15n+3

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Since Purple taxi charges 0.25 per mile, the cost of using Purple taxi is:

0.25n  

Where n is the number of miles.

ABC Taxi charges $3 for pick-up and $0.15 per mile

So, the cost for using ABC taxi is equal to the fixed fee per pick up (3) , plus the cost per mile (0.15n)

3+0.15n

To find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi, the cost of a cab ride with purple taxi must be higher (>) than the cost of a cab ride with ABC taxi.

0.25n>0.15n+3  

Answer:

check the first one only

Step-by-step explanation:

in a cube, no matter which side it is, there will never be a rectangle, it will all be squares

not exactly good at drawing but I drew out what the description looks like and hope you can somehow understand it better!

Explanation:

The unit price is the price of 1 unit, in this case one pound. So we locate x = 1 on the x axis, draw a vertical line upward til we get to the diagonal line, and then draw a horizontal line until we reach the y axis. You should arrive at y = 3.

Answer:

3$/1lb

Step-by-step explanation:

thats the answerrrr

Answer: A

Step-by-step explanation:

Answer: it would be 1.25 since 1/4 is a fraction

1st 1/4 x 5/1

2nd 1+4 =5  keep the denominator

so the final product would be 5/4 or 1.25

Solution of expression 1/4 × 5 is 1.25

Division is an operation that represents the basic idea of repeated subtraction of the same number. It is inverse of multiplication operation.

Given expression

1/4 × 5

= 5/4

= 1.25

Hence, 1.25 is solution of given expression.

Learn more about division here:

https://brainly.com/question/2273245

#SPJ5

Answer:

x=36

Step-by-step explanation:

3x+2x=180 (because they're supplementary angles)

5x=180

x=36

Answer:

x <-8

Step-by-step explanation:

3-(2x-5) < -4(x+2)

Distribute

3 -2x+5 < -4x-8

Combine like terms

8 -2x < -4x-8

Add 4x to each side

8 -2x+4x< -4x-8+4x

8+2x < -8

Subtract 8 from each side

8-8+2x< -8-8

2x<-16

Divide by 2

2x/2 < -16/2

x <-8

Answer:

[tex]x < - 8[/tex]

First answer is correct

Step-by-step explanation:

[tex]3 - (2x - 5) < - 4(x + 2) \\ 3 - 2x + 5 < - 4x - 8 \\ 3 + 5 + 8 < + 2x - 4x \\ 16 < - 2x \\ \frac{16}{ - 2} < \frac{ - 2x}{ - 2} \\ x < - 8[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1

Answer:

b is (4,55). c is correct I believe.

Step-by-step explanation:

You need to find where the lines cross on the graph. You see that at point (4,55)

Answer:

BBBBBBBBBB is the anwser!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

[tex]xy=30-109i+30i^2[/tex]

Step-by-step explanation:

If x=(10-3i) and y=(3-10i), then xy=

[tex](10-3i)(3-10i)=[/tex]

Using the FOIL method:

First: [tex]30[/tex]

Outer: [tex]-100i[/tex]

Inner: [tex]-9i[/tex]

Last: [tex]30i^2[/tex]

[tex]30-100i-9i+30i^2=\\30-109i+30i^2[/tex]

[tex]xy=30-109i+30i^2[/tex]

Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100 respectively. (Vote me brainliest please)

________________________________

Hey!!!

Solution,

U=4

V=-5

Now,

T=2U+4V

=2*4+4*(-5)

=8+(-20)

=8-20

=-12

So the value of T is -12.

hope it helps

Good luck on your assignment

_____________________________

Answer:

The numbers are 7 and 42

Step-by-step explanation:

Let x and y be the numbers

x = 6y

x-y = 35

Substitute the first equation into the second equation

6y -y = 35

Combine like terms

5y = 35

Divide by 5

5y/5 = 35/5

y = 7

Now find x

x = 6*y

x = 6*7

x = 42

Answer:

The two numbers are 42 and 7.

Step-by-step explanation:

6x-x=35

5x=35

x=7

6(7)=42

7=7

Step-by-step explanation:

Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

Answer:

if you draw a single number tile there are 4 possible outcomes 2, 4, 6, or 8

Step-by-step explanation:

there are 4 number tiles 2, 4, 6, and 8 so there are 4 different possibilities 2, 4, 6, or 8

Answer:

4 possible outcomes

Step-by-step explanation:

please mark me brainliest!

Answer:

3 miles per hour

Step-by-step explanation:

The formula for average speed is: [tex]R = \frac{D_{total} }{T_{total} }[/tex] R being rate, D being distance, T being time. We substitute the values to get [tex]R = \frac{15}{5}[/tex] Simplified 3. Her average speed was 3 miles per hour. Hope this helps!

Answer:

3 miles per hour.

Step-by-step explanation:

15 divided by 5 is 3

each hour he would have covered 3 miles of distance.

Answer:

6, 0, 10

B

Step-by-step explanation:

Plug in the values of x into the equation to find the y coordinate. Then match the coordinates in the table to the graph.

Answer: b.y=1/4x-1

Step-by-step explanation:

Y=mx+b

Y=1/4x-1 because 1/4 is the slope which is what you put in m and -1 is the y-intercept which is where it starts and is what you put in b.

Answer:y=1/4x-1

Step-by-step explanation:

Answer:

80 words per minute

Step-by-step explanation:

320/4

80 wpm

Answer:80 wpm

Step-by-step explanation:

Divide 320 by 4.

That should give you 80.

Hope i helped :)))

Answer:

2,144.7

4 x pi x (radius x radius x radius / 3)

4 x pi = 12.5663706

8 x 8 x 8 / 3 = 170.66

12.5663706 x 170.67 =2,144.66 rounded is 2,144.7

Hope this helps

Step-by-step explanation:

Answer:

Biggest = 111

Smallest = 0.1^(11) = 0.00000000001

Step-by-step explanation:

The smallest number I believe you can get is 0.1^11 this results in a number of 0.00000000001 and I believe the biggest number is 111.