Write each of the following expressions without using absolute value. |7m–56|, if m<8

1. this way is overestimating

assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds

2. his way is overestimating

assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar

this is overestimating because you're raising the price of the cheese by 5 cents.

Answer: 71.1

Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful

Answer:

y= x^2 + 6

Step-by-step explanation:

y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2.  For y= x^2 +  6, h = 0 and k  = 6.  Thus the vertex is (0, 6)

Answer:

i think its the first one-

Step-by-step explanation:

Answer:

the answer is the second one to the right on the top.

Step-by-step explanation:

i got it right on the quiz

Answer:

the smallest possible perimeter is 6

Step-by-step explanation:

since the smallest possible prime number is 2 it would make since if each side is 2 which makes the smallest perimeter possible. i really hope this helped :)

Answer:

6

Step-by-step explanation:

the smallest possible number will be 2.

2 inches/centimeters of each 3 sides of the triangle

For the entirety of this problem, p will represent a pair of pants and b will represent a bracelet.

Step 1) Set up equations for Destiny and Guadalupe

Destiny: 178 = 2p + 6b

Guadalupe: 155 = 3p + 2b

I will be using substitution to solve this problem, but elimination can also be used.

Step 2) Solve Destiny's equation for p

178 = 2p + 6b

178 - 6b = 2p

89 - 3b = p

Step 3) Substitute the found value of p from Destiny's equation into Guadalupe's equation and solve for b

155 = 3(89 - 3b) + 2b

155 = 267 - 9b + 2b

155 = 267 - 7b

-7b = -112

b = 16

Step 4) Use the value of b found in step 3, plug that back into our equation from step 2 and solve for p

89 - 3(16) = p

89 - 48 = p

p = 41

one pair of pants = $16

one bracelet = $41

Hope this helps!! :)

Answer:

6:11

Step-by-step explanation:

There are 12 grapes and 12 + 5 + 2 + 3 = 22 total fruits, so the ratio is 12:22 which simplifies to 6:11.

Step-by-step explanation:

Given:

Orange=5

Apple=3

Grape=12

Avocado=2

Formula:

Grape:Fruits

Answer:

Fruits= 5+3+12+2

Fruits=22

Grape/Avocado

12/2=6

Grape:Apple

12/3=4

Grape:Orange

12/5=2.4

Grape: All fruits

12/22=0.54

Hope it helps ;) ❤❤❤

Answer: NO

Step-by-step explanation:

The functions that models the height of the ball is given as

h(t) = -5t2 + 40t + 100

Where

a = -5, b = 40, c = 100

The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:

t = -b/2a

Substitute b and a into the formula above.

t = - 40 / -5 = 8

Substitute 8 for t in the function f(t)

h(t) = - 5(8)^2 + 40(8) + 100

h(t) = -5(64) + 40(8) + 100

Open the bracket

h(t) = -320 + 320 + 100

h(t) = 100

The maximum height of the ball is 100m

Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres

Answer:

Step-by-step explanation:

A(1) = 9

A(n+1) = A(n) - 5

n = 1 ;     A(1+1) = A(1) - 5

             A(2) =  9 - 5

             A(2) = 4

n = 2 ;     A(2+1) = A(2) - 5

             A(3) =  4 - 5

             A(3) = 1

n = 3 ;     A(3+1) = A(3) - 5

             A(4) =  1 - 5

             A(4) = -4

n = 4 ;     A(4+1) = A(4) - 5

             A(5) =  -4 - 5

             A(5) = -9

First four terms are: 9 , 4 , 1 , -4 , - 9

Answer:

Option A

Step-by-step explanation:

Because 72/9 = 8 or 8/1

Hope this helps and pls make as brianliest :)

Answer:

A

Step-by-step explanation:

the numerator is 72

while the denominator is 9

divide

72/9 = 8

we have a numerator 8

when the answer is a whole number the denominator is always 1

so the answer is 8/1

Answer:

dollars

Step-by-step explanation:

Answer:

(x+ (b/2a))^ 2 = (b/2a) ^2 + c/a

Step-by-step explanation:

ax²+bx=c

first we know the form of a square

(x+a)^2 = x^2 + 2ax +  a^2

we have to write the given ax²+bx=c in the above form

for that we bring c on LHS

for the we subtract c from both sides

ax²+bx -c =c - c

=> ax²+bx - c = 0

now we see that in x^2 + 2ax +  a^2 , term x^2 does not have any coefficient,

so in our equation we get rid of coefficient a from  ax²+bx - c = 0

for that we divide both LHS and RHS by a

(ax²+bx - c)/a = 0/a

x²+bx/a - c/a = 0

now we have to write (b/a)x in form of 2ax

for we divide and multiply (b/a)x by 2

thus we have

x²+2 (b/2a)x - c/a = 0

now comparing above equation with x^2 + 2ax +  a^2

we see that 2ax is same 2 (b/2a)x

thus (b/2a) is same as a in standard form of quadratic equation  x^2 + 2ax +  a^2

now we have to get   a^2

as (b/2a)  is same as a

we add and subtract square of (b/2a) on LHS

x²+2 (b/2a)x - c/a + (b/2a) ^2 - (b/2a) ^2 = 0

rearranging it

x²+2 (b/2a)x  + (b/2a) ^2 - (b/2a) ^2 -c/a = 0

=> x^2 + (b/2a)x + (b/2a) ^2 -(b/2a) ^2 -c/a = 0

=> (x+ (b/2a))^ 2 - ((b/2a) ^2 + c/a ) = 0

=> (x+ (b/2a))^ 2 = (b/2a) ^2 + c/a  answer

Answer:

[tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{2} cos^{-1} (\pi x)-3[/tex]

Firstly, we've to interchange the variables.

[tex]x = \frac{1}{2} cos^{-1}(\pi y)-3[/tex]

Solving for y

[tex]x = \frac{cos^{-1} \pi y}{2} -3[/tex]

Adding 3 to both sides

[tex]x+3 = \frac{cos^{-1}(\pi y)}{2}[/tex]

Multiplying 2 to both sides

[tex]2(x+3) = cos^{-1} (\pi y)\\2x+6 = cos^{-1} (\pi y)[/tex]

Taking cosine on both sides

[tex]\pi y = cos (2x+6)[/tex]

Dividing both sides by y

[tex]y = \frac{cos(2x+6)}{\pi }[/tex]

Replace y by [tex]f^{-1}(x)[/tex]

=> [tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]

Answer:

[tex]\large \boxed{f^{-1}(x)=\frac{cos(2x+6)}{\pi} }[/tex]

Step-by-step explanation:

[tex]\displaystyle y=\frac{cos^{-1} (\pi x)}{2} -3[/tex]

Swicth variables.

[tex]\displaystyle x=\frac{cos^{-1} (\pi y)}{2} -3[/tex]

Solve for y.

Add 3 to both sides.

[tex]\displaystyle x+3=\frac{cos^{-1} (\pi y)}{2}[/tex]

Multiply both sides by 2.

[tex]\displaystyle 2(x+3)=cos^{-1} (\pi y)[/tex]

[tex]\displaystyle 2x+6=cos^{-1} (\pi y)[/tex]

Take the cos of both sides.

[tex]\displaystyle cos(2x+6)=\pi y[/tex]

Divide both sides by [tex]\pi[/tex].

[tex]\displaystyle \frac{cos(2x+6)}{\pi} =y[/tex]

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

~ an aesthetics lover

[tex]f(x) = \dfrac{x-2}{2}\\\\\\f(f(x)) = \dfrac{\dfrac{x-2}{2}-2}{2}\\\\\\f(f(x)) = \dfrac{\dfrac{x-2-4}{2}}{2}\\\\\\f(f(x)) = \dfrac{x-6}{4}[/tex]

Answer:

Step-by-step explanation:

The Volume is given by the following equation: V= Base x Height

Therefore,  [tex]V = 16\frac{1}{4} * \frac{1}{2} = \frac{65}{4} * \frac{1}{2} = \frac{65}{8} = 8\frac{1}{8}[/tex] units

The solution to the inequality equations are Option A, Option C, Option E.

The ordered pairs are ( 37 , 18 ) , ( 22 , 38 ) and ( 13 , 51 )

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Let the number of sweatshirt = s

Let the number of towels be = t

Let the cost of one sweatshirt = $ 20.00

Let the cost of one towel = $ 15.00

The Coach asked the team to raise at least $1000

So , the value of 20s + 15t ≥ 1000

Now , substituting the values for s and t in the equation , we get

a)

The ordered pair to the solution of equation ( s , t ) = ( 37 , 18 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 37 ) + 15 ( 18 ) ≥ 1000

740 + 270 ≥ 1000

1010 ≥ 1000

So , the inequality equation satisfies

b)

The ordered pair to the solution of equation ( s , t ) = ( 41 , 11 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 41 ) + 15 ( 11 ) ≥ 1000

820 + 165 ≥ 1000

985  < 1000

So , the inequality equation does not satisfies

c)

The ordered pair to the solution of equation ( s , t ) = ( 22 , 38 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 22 ) + 15 ( 38 ) ≥ 1000

440 + 570 ≥ 1000

1010 ≥ 1000

So , the inequality equation satisfies

d)

The ordered pair to the solution of equation ( s , t ) = ( 8 , 55 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 8 ) + 15 ( 55 ) ≥ 1000

160 + 825 ≥ 1000

985  < 1000

So , the inequality equation does not satisfies

e)

The ordered pair to the solution of equation ( s , t ) = ( 13 , 51 )

So , 20s + 15t ≥ 1000   be equation (1)

Substituting the values for s and t in the equation , we get

20 ( 13 ) + 15 ( 51 ) ≥ 1000

260 + 765 ≥ 1000

1025 ≥ 1000

So , the inequality equation satisfies

Hence , the inequality equations are solved

To learn more about inequality equations click :

https://brainly.com/question/11897796'

#SPJ2

Answer:

2/6 (1/3)

12 gallons

Step-by-step explanation:

3) 1/2x1/3=1/6, so he'd used 1/6 of a tank.

1/2-1/6=

3/6-1/6=2/6.  So the tank was 2/6 full, or 1/3 full when he got home.

4) If it's 1/3 full and has 4 gallons, it can hold 12 gallons.  (4x3)

Answer:

The answer is given below

Step-by-step explanation:

The statements are not given but from this definition, you should be able to select the correct statement.

Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:

a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.

b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.

c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.

d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.

Answer:

45

Step-by-step explanation:

There are 10 points to choose as "starting points" and 9 points to connect them to so you would think that the answer is 10 * 9 = 90. However, this is incorrect as it is over-counting by a factor of 2. Suppose we have two points A and B. Using this method, 2 of the 90 line segments would be AB and BA but AB and BA are the same line segment. Therefore, the answer is 90 / 2 = 45.

Answer:

hope it helps

this is my best

please tell me if I'm wrong

Answer:

The valueof x is root under 41.

Hope this helps.

Answer:

a + b = 12

Step-by-step explanation:

Given

Quadrilateral;

Vertices of (0,1), (3,4) (4,3) and (3,0)

[tex]Perimeter = a\sqrt{2} + b\sqrt{10}[/tex]

Required

[tex]a + b[/tex]

Let the vertices be represented with A,B,C,D such as

A = (0,1); B = (3,4); C = (4,3) and D = (3,0)

To calculate the actual perimeter, we need to first calculate the distance between the points;

Such that:

AB represents distance between point A and B

BC represents distance between point B and C

CD represents distance between point C and D

DA represents distance between point D and A

Calculating AB

Here, we consider A = (0,1); B = (3,4);

Distance is calculated as;

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex](x_1,y_1) = A(0,1)[/tex]

[tex](x_2,y_2) = B(3,4)[/tex]

Substitute these values in the formula above

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}[/tex]

[tex]AB = \sqrt{( - 3)^2 + (-3)^2}[/tex]

[tex]AB = \sqrt{9+ 9}[/tex]

[tex]AB = \sqrt{18}[/tex]

[tex]AB = \sqrt{9*2}[/tex]

[tex]AB = \sqrt{9}*\sqrt{2}[/tex]

[tex]AB = 3\sqrt{2}[/tex]

Calculating BC

Here, we consider B = (3,4); C = (4,3)

Here,

[tex](x_1,y_1) = B (3,4)[/tex]

[tex](x_2,y_2) = C(4,3)[/tex]

Substitute these values in the formula above

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}[/tex]

[tex]BC = \sqrt{(-1)^2 + (1)^2}[/tex]

[tex]BC = \sqrt{1 + 1}[/tex]

[tex]BC = \sqrt{2}[/tex]

Calculating CD

Here, we consider C = (4,3); D = (3,0)

Here,

[tex](x_1,y_1) = C(4,3)[/tex]

[tex](x_2,y_2) = D (3,0)[/tex]

Substitute these values in the formula above

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}[/tex]

[tex]CD = \sqrt{(1)^2 + (3)^2}[/tex]

[tex]CD = \sqrt{1 + 9}[/tex]

[tex]CD = \sqrt{10}[/tex]

Lastly;

Calculating DA

Here, we consider C = (4,3); D = (3,0)

Here,

[tex](x_1,y_1) = D (3,0)[/tex]

[tex](x_2,y_2) = A (0,1)[/tex]

Substitute these values in the formula above

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}[/tex]

[tex]DA = \sqrt{(3)^2 + (- 1)^2}[/tex]

[tex]DA = \sqrt{9 + 1}[/tex]

[tex]DA = \sqrt{10}[/tex]

The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral

[tex]Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}[/tex]

[tex]Perimeter = 4\sqrt{2} + 2\sqrt{10}[/tex]

Recall that

[tex]Perimeter = a\sqrt{2} + b\sqrt{10}[/tex]

This implies that

[tex]a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}[/tex]

By comparison

[tex]a\sqrt{2} = 4\sqrt{2}[/tex]

Divide both sides by [tex]\sqrt{2}[/tex]

[tex]a = 4[/tex]

By comparison

[tex]b\sqrt{10} = 2\sqrt{10}[/tex]

Divide both sides by [tex]\sqrt{10}[/tex]

[tex]b = 2[/tex]

Hence,

a + b = 2 + 10

a + b = 12

Answer:

a+b=6

Step-by-step explanation:

The tutor verified answer is mostly correct however, if you look under both by comperision sections you will see that it is:

[tex]4\sqrt{2}[/tex] and [tex]2\sqrt{10}[/tex] thus the answer is 4+2=6

Answer: [tex]\frac{7}{12}.[/tex]

Step-by-step explanation:

Given table:

X            f(X)

-1                -2

0                 -1

1                  [tex]-\dfrac{1}{2}[/tex]

2                 [tex]-\dfrac{1}{4}[/tex]

3                 [tex]-\dfrac{1}{8}[/tex]

i.e. , f(-1) = -2

f(2) = [tex]-\dfrac{1}{4}[/tex]

The rate of change between [tex]f(a)[/tex] and [tex]f(b)=\dfrac{f(b)-f(a)}{b-a}[/tex]

Then, the rate of change between f(-1) and f(2) = [tex]\dfrac{-\dfrac{1}{4}-(-2)}{2-(-1)}[/tex]

[tex]=\dfrac{-\dfrac{1}{4}+2}{3}=\dfrac{\dfrac{-1+8}{4}}{3}\\\\=\dfrac{\dfrac{7}{4}}{3}\\\\=\dfrac{7}{12}[/tex]

Hence, the rate of change between f(-1) and f(2) is [tex]\frac{7}{12}.[/tex]

Answer:

A. 85

Step-by-step explanation:

SInce nickels are worth 5 cents, the number of pennies must end with an 8 or a 3 in order for the total to end with a 3 ($9.83)

Answer:

40 degrees

Step-by-step explanation:

90 degrees + 50 degrees = 140 degrees

there are 3 angles that total at 180 degrees in every  triangle

180 degrees - 140 degrees = 40 degrees

Answer:

8mins

Step-by-step explanation:

(2x60)/15=8 I hope this helps, hope it's right

Answer:

8 minutes

Step-by-step explanation:

You will multiply 60 times 2 and then divide by 15 leaving you with 8

Answer:

its not a right triangle

Step-by-step explanation:

Answer:

1: 18

2: P

Step-by-step explanation:

1: each number in the second row is the square of the number in the first row but it's kinda backwards! for example 4×4=16 writing it backwards would be 61.

now: 9×9=81 and the backwards would be 18

2:the code for each letter is the number of its ends! like: A has 2 ends. S has 2 Ends. O doesn't have any ends.

now: the only letter left with 1 end is P

Answer: pretty tricky question, the answer would be 18

Step-by-step explanation:

each number is multiplied by itself so

4x4=16

and then reverse the writing of the product

16 to 61

9x9=81

81 to 18

Answer:

29

Step-by-step explanation:

To find the lower quartile you need to split it into 2 by finding the median

Set A: 73, 75, 79, 81, 84, 85

Set B: 47, 49, 51, 51, 55, 56

Now you have to find the median of each

A: 80

B: 51

Lastly, you subtract and get 29

You didn't attach a photo, so I am confused on what your question is. I am answering 3 problems that have the same intro.

If your question was not any of these, I can't help, sorry :)