Write -74.5 as a mixed number.

Answer:

[tex]\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}[/tex]

Step-by-step explanation:

[tex]f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}[/tex]

Answer:

[tex]-8a^{7b}[/tex]

Step-by-step explanation:

[tex](-4 a^{5b}) (2a^{2b}) = -(2^2 a^{5b}) (2a^{2b})\\[/tex]

                    [tex]= -(2 ^2 \times 2) \times a^{5b + 2b}\\\\= -(2 ^{2+1}) \times a^{7b}\\\\=-(2^{3}) \times a^{7b}\\\\= - 8 a^{7b}[/tex]

Answer:

$19.99

Step-by-step explanation:

There are 12 months in a year, so in 2 years, there are 24 months.

Find how much each payment will be by dividing the cost by 24:

479.76/24

= 19.99

So, each payment will be $19.99

Answer:

$480

Step-by-step explanation:

multiply the normal price $600 by 20 then divide it by one hundred

the discount is $120

the sales price is subracting the discount of $120 from the original price of $600 then get $480 as the sales price.

Answer:

Step-by-step explanation:

Method 1:  Subtract 20% from 100%, obtaining 80%, and then multiply the regular price ($600) by the decimal equivalent 0.80.  We get $480 as the sale price.

Method 2: Calculate the amount of the discount by multiplying $600 by 0.20, obtaining $120.  Then subtract this discount from the regular price, $600, obtaining $480.

Answer:

The yellow trapezoid, blue rectangle, and whatever that purple thing is are zingoes

Step-by-step explanation:

As far as I can tell, all the correct examples are

1) Symmetrical

2) Have a line splitting them symmetrically and does not go above or below the shape (Does that make sense?)

The wrong examples don't have any of the characteristics told above. For example, the square would be wrong because it doesn't even have a line

(P.S- This isn't my picture, just found it on the web. Shout out to whoever owns this)

Answer:

(7 , -3)

Step-by-step explanation:

The distance between A and B is 7 squares to the right and 3 squares down

Answer:

la respuesta es nose

Answer:

YZ , XZ , XY

Step-by-step explanation:

first lets find angle Z

angle x + angle y + angle z=180 degree (being sum of interior angles of a triangle)

27 + 48 + angle z=180

75 + angle z=180

angle z =180-75

angle z =105 degree

side YZ is the shortest one because the side opposite to the smallest angles is shortest in side.Then ,XZ is shortest in side because the side opposite to the smallest angle is shortest in side.Since angle z is largest angle so the side opposite to angle z will be the longest side i.e XY

first YZ then XZ and XY.

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Answer:

B $1050

Step-by-step explanation:

Determine 30% of the price

1500 * 30%

1500 *.30

450

Subtract this from the price

1500-450

1050

Answer:

B $1050

Step-by-step explanation:

0.3 x 1500 = 1050

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

Answer:

I think b

Step-by-step explanation:

Answer:

As x reaches negative infinity y reaches negative infinity

Step-by-step explanation:

So, first off, when looking at graphs, there will always be a infinite end behavior.

This is because either the x or y axis can be set to a infinitly large number.

We can instantly set up a 2 things for this graph.

We see that y NEVER reaches postive infinity. This is because both left and right sides of the graph have downwards slopes.

This removes our second answer, because it is postive infinity for y.

It also removes our first answer, since it is just 5 for y, notn negative infinity.

Finally, it removes our third answer, since it is just 7 for y, not negative infinity.

This leaves D.

D is correct since y reaches negative infinity when x reaches both postive and negative infinity.

D says x is negativly infinite, which fits this.

So D is our answer.

Hope this helps!

Answer:

x = 8

Step-by-step explanation:

A² + B² = C²

x² + 15² = 17²

x² + 225 = 289

x² = 289 - 225

x² = 64

x = [tex]\sqrt{64}[/tex]

x = 8

Hope this helps!

Answer:

x=16

..................

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

Answer:

The lower left one.

Step-by-step explanation:

If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.

Answer:

[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]

Step-by-step explanation:

[tex]6(\frac{1}{2} w-1)=3(w-2)[/tex]              (Isolate parentheses)

[tex]3w-6=3w-6[/tex]                      (Add six to both sides to isolate one variable w)

[tex]3w=3w[/tex]                                  (Divide by three to isolate variable w)

[tex]w=w[/tex]

Because we got [tex]w=w[/tex], that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.

I hope this helped :)

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Answer:

B) 7x + 8

Step-by-step explanation:

distribute 4 first to get:

12x + 8 - 5x

combine like terms to get:

7x + 8

Answer:

it's hypotenuse will be -8

Answer:

27

Step-by-step explanation:

4a + 5b

12 + 15

=27

Answer:

Number of oranges = 8

Step-by-step explanation:

let

a = number of apples

n = number of oranges

Number of apples = 6

Cost of each apple = 0.75

Number of oranges = n

Cost of each orange = $1.25

Total cost = $14.50

Total cost = Number of apples * Cost of each apple + Number of oranges * Cost of each orange

14.50 = 6 * 0.75 + n * 1.25

14.50 = 4.5 + 1.25n

14.50 - 4.5 = 1.25n

10 = 1.25n

n = 10 / 1.25

n = 8

Number of oranges = n = 8

Therefore, there are 8 oranges in a bagful of orange

Step-by-step explanation:

the answer is 36000 cm2

please mark the brainliest

┻━┻︵└(՞▽՞ └)

Answer:

it is the second one

Step-by-step explanation:

the y intercept for the first one isnt the origin

It is decreasing from negative infinity to -2.5 for the first one

Answer:

65

Step-by-step explanation:

Since they drove for 2 hours at an average rate of 40 miles per hour, they've travelled [tex]40\cdot 2=80[/tex] miles so far. Therefore, they still have [tex]145-80=\boxed{65}[/tex] miles to go.

Answer:

65

Step-by-step explanation:

Since u traveled for 2 hours at 40 miles per hour, you have traveled for 80 miles. Then u subtract the total miles, 145 by 80

145-80

= 65 more miles

Answer:

the anser is no.b that is 30°

Answer:

90°

Step-by-step explanation:

There's are supplementary angles at point C. These are two angles that add up to 180°. We know this because a straight line makes 180° on both sides. Since we know that the first angle is 150°, we can determine the angle a point C is 30°. This is shown by:

180-150=30

So now we know 1 angle and the other two angles are put into like terms (in this case, multiples of x). It is known that the sum of all angles in a triangle equates to 180°. Using this information we can set up a simple equation.

[tex]3x+2x+30=180[/tex]

Combining like terms, we get:

[tex]5x+30=180[/tex]

Isolating x, we get:

[tex]5x=150[/tex]

Dividing both sides by 5, we get:

[tex]x=30[/tex]

So now we can use this x-value to determine the angle that is being asked. It is shown that angle ABC is equal to 3x. Using the x value we just calculated, we get a final answer of:

[tex]3x=3(30)=90[/tex]

Therefore, the answer is 90°. Hope this helps!