Omar needs at least $8 to buy lunch. Which number line represents this scenario?

Answer:

0..........5

Step-by-step explanation:

The give quadratic function is dilated by the given coefficient, and shifted

horizontally to the left.

(a) The transformation of the common function f(x) are;

Please find attached the required graph created with MS Excel

(b) Where t = 0, represent the year 2,000 we have;

(c) The mortgage debt in the year 2014 is M ≈ $5.622 trillion

Reasons:

The given function is f(t) = 0.0037·(t + 14.979)²

Year 1990 is t = 0

(a) The given common function is; f(x) = x²

The transformation of the quadratic function are;

The coefficient 0.0037 widens the common function such that f(t) is wider

than f(x).

The constant, 14.979 added to the variable, t, shifts the graph of the

common function horizontally to the left.

Therefore;

Please find attached the required graph over the interval 0 ≤ t ≤ 19 created with MS Excel.

(b) The amount of mortgage debt in 2,000 is given as follows;

With t' = 0 represent the year 2,000, we have;

At year 1990, t' = -10

Which gives, t' = t + 10

From which we have;

f(t) = 0.0037·(t + 14.979)² = 0.0037·(t' + 10 + 14.979)²  = 0.0037·(t' + 24.979)²

Therefore;

The function with t = 0 representing the year 2,000 is presented as follows;

f(t) = 0.0037·(t + 24.979)²

(c) In the year 2014, we have;

t = 2014 - 2000 = 14

Which gives;

f(14) = 0.0037·(14 + 24.979)² ≈ 5.622

The mortgage debt in the year 2014 is M ≈ $5.622 trillion dollars

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Answer:

(2,2)

Step-by-step explanation:

4x-6 = 4-x

5x = 10

x = 2

y = 4-2 = 2

(2,2)

Answer:

ABC & E are true statements about the graph

Answer:

x = -5

Step-by-step explanation:

log5((5-3x)/((7+x)^2))=1

(5-3x)/(7+x)^2 = 5

5-3x = 5x^2+70x+245

5x^2+73x+240=0

x= -5, x= -48/5

-48/5 is extraneous

x = -5

Answer:

-20x^2-59x-43

Step-by-step explanation:

Answer: The equation of the line is y = 3/2 x + 1

Step-by-step explanation:

Slope 3/2; The Equation of the line passing through (-4, -5) having a slope of 3/2 is y + 5 = 3/2 (x + 4) or y = 3/2 times X + 6 - 5 or y = 3/2 times X + 1[Ans] graph {3/2*x+1[-10, 10, -5, 5]}

I hope this makes sense to you :)

Answer:

D. [tex]-5 \frac{5}{6}[/tex]

Step-by-step explanation:

Add the values:

[tex]-3\frac{2}{3}+\left(-2\right)\frac{1}{6}[/tex]

[tex]=-\frac{11}{3}+\left(-2\right)\frac{1}{6}[/tex]

[tex]=-\frac{11}{3}-\frac{1}{3}[/tex]

[tex]-5 \frac{5}{6}[/tex]

Answer:

C. - 1 ½

Step-by-step explanation:

-3⅔ - x = - 2⅙

x = -3⅔ + 2⅙

x = -11/3 + 13/6

x = -22/6 + 13/6

x = -9/6

x = -1 ½

Answer:

[tex]259 \frac{21}{46}[/tex]

Step-by-step explanation:

In order to solve this question we will need to use BODMAS to help us get a reasonable answer. If you don't know what BODMAS is it stands for:

B: Brackets

O: Orders

D: Division

M: Multiplication

A: Addition

S: Subtraction

First Step:

1.  [tex]275/92*50[/tex]

First we multiply 50 by 275. Then we divide this result by 92.

[tex]275/92*50=6875/46[/tex]

Second Step:

2. [tex]45+45-45+45-45+65[/tex]

Now lets subract and minus and such that we get 110.

[tex]110[/tex]

Third Step:

Now we combine both these value and we get [tex]259 \frac{21}{46}[/tex]

The cost function is an illustration of a linear function

The equation of the cost function is C(x) = 35 + 0.5x

The given parameters are:

[tex]Rentals = 35[/tex] -- the cost of renting a cooler

[tex]Rate = 0.5[/tex] --- the rate per bottle

Assume the number of bottles in a cooler is x.

The cost function for the bottles in a cooler would be:

[tex]C(x) = Rentals + Rate \times x[/tex]

So, we have:

[tex]C(x) = 35 + 0.5\times x[/tex]

Evaluate the products

[tex]C(x) = 35 + 0.5x[/tex]

Hence, the equation is [tex]C(x) = 35 + 0.5x[/tex]

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Answer: 8.26

Step-by-step explanation:

Should I Explain How I got it?

132.16 divided by 16 is equal to 8.26.

Here, we have,

given that,

132.16 divided by 16

so, we have, 132.16 ÷ 16

To find the quotient of 132.16 divided by 16,

we can perform long division:

    8.26

____________

16 | 132.16

112

____________

20

Therefore, 132.16 divided by 16 is equal to 8.26.

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Answer:

[tex]q\le \:12[/tex]

Step-by-step explanation:

Solving

[tex]\mathrm{Switch\:sides}[/tex]  (Not a required step)

[tex]q+3\le \:15[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]q+3-3\le \:15-3\\=q\le \:12[/tex]

[tex]\bold{q\le \:12}[/tex]

Graphing

Answer:

22.40 feeds

Step-by-step explanation:

multiply it

Answer:

no solutions exist

Step-by-step explanation:

We can solve this by using system of equations and using substitution.

2(8-3y)+6y=2      Substitute x=8-3y into the first equation.

16-6y+6y=2         Distribute.

16=2                     Simplify.

16 does not equal 2, so there are no solutions.

Answer:

Step-by-step explanation:

Given isosceles trapezoid.

Its congruent sides are 4 and (2x + 2):

Solve for x:

The amount of fabric used to make the headband is 16.13 inches. The amount of fabric used to make the wristband is 9.64 inches.

In order to determine the amount of fabric used to make the accessories, the total inches used would be divided by the total number of people the accessory was made for.

The amount of fabric used to make headband for a player = total quantity of fabrics used / total number of people

677.46 / (38 + 4)

677.46 / 42

= 16.13 inches

The amount of fabric used to make wristband for a player = total quantity of fabrics used / total number of players

366.32 / 38 = 9.64 inches

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Answer:

$8   16    24     32   40     48      56      64   72      80

---------------------------------------------------------------------------

4     8     12     16    20     24     28     32     36     40

Step-by-step explanation:

Answer:

B. slope

Step-by-step explanation:

Step-by-step explanation:

you have to be careful what you are typing.

the way you wrote the numbers Asia would be a tiny place with very few people.

but I think you meant to say :

area is 4.46 × 10⁷ km²

with 3.70 × 10⁹ people.

people / km² = 3.70/4.46 × 10⁹/10⁷ =

= 0.829596413... × 10² = 82.9596413... =

= 82.96 people/km²

The population density will be equal to 82.96 people/km2. The correct option is B.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the area is 4.46 × 10⁷ km² with 3.70 × 10⁹ people. The population density will be calculated as below:-

Density = people / km² = ( 3.70 × 10⁹ ) / ( 4.46 x 10⁷ )

Density = 0.829596413... × 10² = 82.9596413

Density = 82.96 people/km²

Therefore, the population density will be equal to 82.96 people/km2. The correct option is B.

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Answer:

Step-by-step explanation:

Domain : [-9,-3]

Range: [2,6]

Answer:

um I think it's the range is 30

Answer:

ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Step-by-step explanation:

convert all % to decimals

0.06 x 21 = $1.26 tax

0.15 x 21 = $3.15 tip

1.26 + 3.15 = $4.41 added payment

4.41 + 21 = = $25.41 total bill

(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)

Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents. Otherwise B.

Answer:

62% = 31 / 50

Step-by-step explanation:

62/100

if you need to simplify then it would be 31/50

Answer:

  10, 12, 14  or  -10, -8, -6

Step-by-step explanation:

We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...

  (x-2)(x) = 92 +2(x+2)

  x^2 -2x = 92 +2x +4 . . . eliminate parentheses

  x^2 -4x = 96 . . . . . . . . . subtract 2x

  x^2 -4x +4 = 100 . . . . . . add 4 to complete the square

  (x -2) = ±√100 = ±10 . . . take the square root

  x = 2 ± 10 = -8 or +12 . . . . add 2

The three integers might be ...

  -10, -8, -6  or  10, 12, 14

Answer:

Step-by-step explanation:

Solution for 468 is what percent of 486:

468:486*100 =

(468*100):486 =

46800:486 = 96.3

Now we have: 468 is what percent of 486 = 96.3

Question: 468 is what percent of 486?

Percentage solution with steps:

Step 1: We make the assumption that 486 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=486$.

Step 4: In the same vein, $x\%=468$.

Step 5: This gives us a pair of simple equations:

$100\%=486(1)$.

$x\%=468(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$frac{100%}{x%}=frac{486}{468}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$frac{x%}{100%}=\frac{468}{486}$

$Rightarrow x=96.3%$

Therefore, $468$ is $96.3%$ of $486$.

Answer:

You'll have to give more information about the question or about what you need solved.

Step-by-step explanation:

Answer:

The height of the larger window is 15.36 units.

Step-by-step explanation:

Let the height of the larger window be h.

The width and height of smaller window are 5 and 8 respectively.

The width and height of smaller window are 9.6 and h respectively.

It is given that both windows are similar. The corresponding sides of similar figures are proportional.

\frac{5}{9.6}=\frac{8}{h}

9.6

5

=

h

8

5h=8\times 9.65h=8×9.6

5h=76.85h=76.8

Divide both sides by 5.

h=\frac{76.8}{5}=15.36h=

5

76.8

=15.36

Therefore the height of the larger window is 15.36 units.