A factor divides evenly into another number without a ________ left over.

Answer:

After the first day, 1/3 of the original amount remained:

... (1/3)·45 = 15

After the second day, 2/3 of that amount remained:

... (2/3)·15 = 10

The bookstore has 10 copies left.

Step-by-step explanation:

Answer:

Step-by-step explanation:

45 copies and sold 2/3= 30 sold so 15 left

15 copies and sold 2/5= 6 sold so 9 left

Answer:

3rd quadrant

Step-by-step explanation:

Answer:

This is incorrect.  

Step-by-step explanation:

You move the decimal 7 places to the right after the 7.  Since 2 is the third digit, you're adding 4 more zeros.

Answer:

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

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\sqrt{x+3}[/tex]

We can find the inverse function by exchanging x and y, and then solve for y.

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

Replace x with y.

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

square both sides

[tex]x^2=y+3[/tex]

[tex]y=x^2-3[/tex]

Hence,

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

Answer:

-6 < x < 1

Step-by-step explanation:

-14 < 10 + 4x < 14

Subtract 10 from both sides

-24 < 4x < 4

Divide both sides by 4

-6 < x < 1

Answer: - 6 < x < 1

|10 + 4x| < 14

⇔ -14 < 10 + 4x < 14

⇔ -14 - 10 < 4x < 14 - 10

⇔ - 24 < 4x < 4

⇔ -24/4 < x < 4/4

⇔ - 6 < x < 1

Step-by-step explanation:

Answer:

\tan \left(\frac{\sin \left(x\right)-\cos \left(x\right)}{\cos \left(x\right)+\sin \left(x\right)}\right)

Step-by-step explanation:

Answer:

it will be option 3 if isnt pls tell me and I'll work if out

(8 x 3) - 2³+ 17 = 33 is the true statement and so Option 3 is the correct answer.

An equation is a statement that links variables to constants and even with other variables and is helpful in solving complex problems.

The options given below needs to be checked for

Left Hand Side =  Right Hand Side

Option 1

LHS = -133.33

RHS = 33

Option 2

LHS = -125

RHS = 33

Option 3

LHS = 33

RHS = 33

Therefore Option 3 is the correct answer.

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Answer:

$150

Step-by-step explanation:

5 x 6 = 30

25 x 6 = 150

Answer:

If it is a solution of equations, then plug your solution into the equations you are working on to make sure that all equations are satisfied by your solution.

Step-by-step explanation:

I hope that this was helpful.

Answer:

-27

Step-by-step explanation:

Answer:

-27 maybeeeeeeeeeeeee

Answer:

Option B: f(x) = 2x2 + 2x – 4

Step-by-step explanation:

f(x)=x²-4x-5 is the polynomial function of the given graph.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

We need to find the polynomial of the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

When x=0, then y should be -5.

This can be satisfied by f(x)=x²-4x-5 and  f(x)=-x²-4x-5

Now let us find the value of y when x is 2.

When x is 2 the value of y should be -9 by the given graph

f(x)=x²-4x-5

=4-8-5

=-9

Hence, f(x)=x²-4x-5 is the polynomial function of the given graph.

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Answer:

FOIL

Step-by-step explanation:

" is just a mnemonic. It helps some people to remember all the steps needed to multiply two binomials. It "makes sense" because it's methodical and gives the right answer.

Answer:

70 miles

Step-by-step explanation:

Divide 42 by 0.60 = 70

Multiply 70 * 0.60 = 42.

Answer:

-1/3

Step-by-step explanation:

m = (y2-y1) / (x2-x1)

m = (-2-(-1)) / (3-0)

m = (-2+1) / 3

m = -1/3

Answer:

-1/3

Step-by-step explanation:

equation is y2-y1/x2-x1

So the second y (-2) minus the first y (-1) is -1

And 3-0 is 3. So 3/1

Answer:

56, 112, 168, 224, and more

The to your problem is m = -3, I hope this really helps you :)

Y= -3x+5 that’s the answer I got

Answer:

4.7

Step-by-step explanation:

4.69041575982

Round to 4.7

Answer:

slope: 0.05

y-intercept: 320

Step-by-step explanation:

y is the total weekly salary and x is the sales

there is a constant salary of $320, which will be the constant in the equation.

y = mx + b

y = mx + 320

we know there is a 5% commission on all sale, which we can convert to the fraction 0.05.

y = .05x + 320

Now we can see that the slope is .05 and the y-intercept is 320

Answer:

Step-by-step explanation:

Given

Length of the ladder = 12foot

angle of elevation = 80 degrees

Required

Height of the wall (opposite side)

The set up will form a right angled triangle where

length of the ladder is the hypotenuse

height of the wall is opposite;

Using SOH, CAH, TOA trig identity

According to SOH

sin 80 = opp/hyp

sin80 = opp/12

opp = 12sin80

opp = 11.82 feet

Hence the height of the wall is 11.8feet (to the nearest tenth)

Answer:

The equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be:  [tex]x-2y=0[/tex]

Step-by-step explanation:

Given the line

[tex]x-2y=-4[/tex]

[tex]x+4 = 2y[/tex]

[tex]y=\left(\frac{1}{2}\right)x+2[/tex]

[tex]m_1=\frac{1}{2}[/tex]

so, the slope of the line parallel to the given line would have

the same slope as  [tex]\frac{1}{2}=m[/tex], and passed through the point (0, 0).

Therefore, the equation of the required line is given by

[tex]y = mx+b[/tex]

[tex]y=\left(\frac{1}{2}\right)x+0[/tex]

[tex]y=\left(\frac{1}{2}\right)x[/tex]

[tex]2y=x[/tex]

[tex]x-2y=0[/tex]

Therefore,  the equation of a line that is parallel to x−2y=−4 and passes through the point (0, 0) will be:  [tex]x-2y=0[/tex]

D. The function shown on the graph has a smaller rate of change and a lower starting point. Sorry if incorrect i hope i helped.

do u like beans?Step-by-step explanation: hope it helps

Answer:

-0.2z

Step-by-step explanation:

-0.5z + 0.9z - ( -0.3z+0.9z) open paranthesis and change the sign of all terms

-0.5z + 0.9z + 0.3z - 0.9z combine terms

-0.5z+0.3z= -0.2z

Answer:

First =  Poppy seed  = 3x10^-4 grams  = 0.0003 grams

Second  =  sesame seeds  =  3.64x10^-6 grams  = 0.00364 grams

third  = 250 pumpkin seeds 21 grams  = one seed 0.084 grams

Step-by-step explanation:

3.64x10^-6 kilograms *1000gr/Kilograms =  0.00364 grams

21/250 = 0.0084 grams one seeds

Answer:

∠ EFG = 83°, ∠ GCE = 97°

Step-by-step explanation:

Since FE and FG are tangents to the circle then

∠ FGC and ∠ FEC are right angles

The sum of the angles in quadrilateral CEFG = 360°

Sum the 4 angles and equate to 360

3x + 11 + 90 + 5x - 23 + 90 = 360, that is

8x + 168 = 360 ( subtract 168 from both sides )

8x = 192 ( divide both sides by 8 )

x = 24

Thus

∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°

∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°

Answer:

a I think

Step-by-step explanation:

I dont know how to explain if its not im sorry

Given:

The distance between 63 feet above sea level and 48 feet below sea level.

To find:

The ​absolute value expression for the given situation.

Solution:

We have,

Distance above the sea level = 63 feet

Distance below the sea level = -48 feet

Here, negative sign represents the distance in below the sea level.

So, absolute value expression that can be written to determine the distance between 63 feet above sea level and 48 feet below sea level is

[tex]Distance=|63-(-48)|[/tex]

[tex]Distance=|63+48|[/tex]

[tex]Distance=|111|[/tex]

[tex]Distance=111[/tex]

Therefore, the required absolute expression is [tex]|63-(-48)|[/tex] and distance is 111 feet.

Answer: