4. The list shows the dinner prices at the Carlton Cafe. Organize the data in a table using
intervals: $5.00-$9.99, $10.00-$14.99, $15.00-$19.99, $20.00-$24.99, and $25 and up.
What is the most common interval of dinner prices?
$17.99
$14.00
$17.49
$12.98
$10.00
$12.99
$7.50
$26.00 $22.00
$12.00
$13.50
$21.00
$7.98
$11.50
$14.75
$9.99
$12.50
$8.25
$8.75
$28.50
$11.25
$13.00
$9.00
$6.50
$16.00

Answer:

The correct option is A

Step-by-step explanation:

Since (1, 3) are the solutions to the function g(x), then

g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3

We know that f(x) is on the same plane and f(1) = 1.

Let's take g(1) = (1 – 1)(1 – 3) = 0

Therefore, when x = 1; f = 1 and g = 0. Hence

g(1) = f(1) – 1

In order words, g(x) could be f(x) – 1.

The correct option is A

The final expression after simplifying

[tex](-y^2-3y-5) - (3y^2-7y+4)-(2y^2+4y-9)-(2y^2-10y+4)-(2y^2-7y-9)-(-2y^2-10y-1)[/tex]

is [tex]\bold{-8y^2+27y+6}[/tex].

The given expression is

[tex](-y^2-3y-5) - (3y^2-7y+4)-(2y^2+4y-9)-(2y^2-10y+4)-(2y^2-7y-9)-(-2y^2-10y-1)[/tex]

We will solve this step-by-step. Also remember that (a -b) = -(b -a), when

a < b and -a-b = -(a + b)

So first solving by subtraction,[tex](-y^2-3y-5)-(3y^2-7y+4)=-y^2-3y-5-3y^2+7y-4= -4y^2 +4y-9[/tex]

Next, [tex]-4y^2+4y-9 -(2y^2+4y-9)=-4y^2+4y-9-2y^2-4y+9=-6y^2[/tex]

i.e., [tex]-6y^2-(2y^2-10y+4) = -8y^2+10y-4[/tex]

which gives, [tex]-8y^2+10y-4-(2y^2-7y-9)=-10y^2+17y+5[/tex]

And finally,[tex]-10y^2+17y+5-(-2y^2-10y-1)=\bold{-8y^2+27y+6}[/tex]

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Step-by-step explanation:

  Radical already isolated

    √163 = x

Raise both sides to the second power

    (√163)2 = (x)2

    After squaring

    163 = x2  Rearranged equation

    x2  -163 = 0

    This equation has two real roots:

      x1 = ( 0 + sqrt(652) ) / 2 = 12.7671

     x2 = ( 0 - sqrt(652) ) / 2 = -12.7671  Original equation

    √163 = x

    Plug in 12.7671 for  x  

     √163 = (12.7671)

     Simplify

     √163 = 12.767

     Solution checks !!

    Solution is:

     x = 12.7671   Original equation

    √163 = x

    Plug in -12.7671 for  x  

     √163 = (-12.7671)

     Simplify

     √163 = -12.767

     Solution does not check

     12.767 ≠ -12.767

Answer:

The answer is C, (12, -1).

Step-by-step explanation:

Answer:

Step 2 should be division, not subtraction.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8x = 24

Step 2: Solve for x

We see that 8x is actually 8 times x. Therefore, we would need to use the Division Property of Equality to isolate x and get our answer.

Answer:

Step-by-step explanation:

product of (2.5 x 10²) x (10⁵)=2.5 x 10⁷

when we multiply the powers we add the 2+5=7

Answer:

9.25×10^7

Step-by-step explanation:

2.5 × 3.7 =9.25 and 10^2+10^5=10^7

Answer:

1 = 120

2 =60

3= 120

4= 60

5= 120

6= 60

Step-by-step explanation:

angles in a straight line add upto 180

the total angles in a triangle is 180.

Answer:

BOOMDELAKAKAK

Step-by-step explanation:

EGEHSSSSSSS

When the shadow is 45 meters long, it should be noted that the height of the utility pole will be 24 meters.

It should be noted that from the information, Antonio knows that a antenna that is 16 meters tall casts a shadow that is 30 meters long and he wants to calculate the height of a nearby pole.

Let the height be x.

Therefore, this will be illustrated as:

16 / 30 = x / 45

Cross multiply.

30 × x = 45 × 16

x = (45 × 16) / 30

= 24

Therefore, when the shadow is 45 meters long, it should be noted that the height of the utility pole will be 24 meters.

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Step-by-step explanation:

[tex] - 8(5 + 4x) = - 232[/tex]

[tex] - 40 - 32x = - 232 \\ - 32x = - 232 + 40 \\ - 32x = - 192 \\ \frac{ - 32x}{ - 32} = \frac{ - 192}{ - 32} \\ \\ \huge x = 6[/tex]

[tex] - 84 = 4(4r + 7) \\ - 84 = 16r + 28 \\ 16r = - 84 - 28 \\ 16r = - 112 \\ \frac{16r}{16} = - \frac{112}{16} \\ \\ \huge r = 7[/tex]

Hope this helps you

Answer:

Both are correct in certain situations.

Step-by-step explanation:

If the angle between the two given sides is provided, then the triangle is always congruent but if any other angle is provided, the triangle may or may not be congruent.

Answer:

113

Step-by-step explanation:

gsfhvxryjbvyghkf

Answer:

113.04 square miles or

113 square miles approximately

Step-by-step explanation:

A=π*r^2

r=6 mile

A=π*6^2

A=π*36

we know that π=3.14

so

A=3.14*36

A=3.14×36=113.04 square miles

Answer:The blouse was 28 dollars.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope is 1.5

Y intercept is (0,1) A

Equation y = (3x/2) + 1 = 1.5x + 1A

What does it mean by another solution?

If it means the other way to do slope (y=mx+b)

b=4−(3/2) * 2 = 1

The answer is still y=(3x/2)+1

Answer:

points

Step-by-step explanation:

Answer:

formulla of perimeter of rectangle

Step-by-step explanation:

perimeter of rectangle=2(l+b)

= 2(7.5+3.25)

=2(11.25)= 22.5

Step-by-step explanation:

l = 7.5cm

b = 3.75cm

perimeter of rectangle = 2(l+b)

= 2(7.5+3.75)

= 2(11.25)

=22.5cm

Answer:

11

Explanation:

Because 57 minus 2 games already equals 55, so 55 games divided by 5 months equals 11, so 11 games each month will get u to 57.

The number of games must his team win per month will be;

⇒ x > 11

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Steve Conway wants his team to win more than 57 games this year.

And, His team has already won 2 games this season and there are 5 more months to play.

Now,

Let number of games must his team win per month = x

So, We can formulate the inequality as;

⇒ 5x + 2 > 57

Solve for x as;

⇒ 5x > 57 - 2

⇒ 5x > 55

⇒ x > 11

Thus, The number of games must his team win per month will be;

⇒ x > 11

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Answer:

x = 30

Step-by-step explanation:

5/6x- 1/5x =19

Get a common denominator of 30

5/6x * 5/5  - 1/5x * 6/6 = 19

25/30x - 6/30x = 19

19/30x = 19

Multiply each side by 30/19

19/30x * 30/19  = 30/19 * 19

x = 30

Answer:

5/6x- 1/5x =19

5/6x- 1/5x =19

?/30x=19

19/30x = 19

x = 19 / 19/30

x = 19 * 30/19

x = 30

Answer:

  Change on Day 1 = 29.80 °C

  Change on Day 2= 30.60 °C

  the most change occurred on Day 2

Step-by-step explanation:

Given a table of days and temperatures, you are asked for the changes each day, and you are asked which day changed the most.

In general, the change in an amount is the difference between the final amount and the beginning amount. Here we have temperatures at the beginning of the day and the end of the day. We presume the change of interest is the difference between the temperature at the end of the day and that at the beginning.

  end of day temp - beginning temp = 18.74 -(-11.06) = 29.80 . . . °C

  end of day temp - beginning temp = 21.29 -(-9.31) = 30.60 . . . °C

The day 2 change is larger than the day 1 change, so the most change occurred on day 2.

Answer:

250x^3 - 500x^3i

Step-by-step explanation:

We have a = 5x

b = 2 - 4i

Now,

= a^3b

= (5x)^3(2 - 4i)

= 125x^3 (2 - 4i)

= 250x^3 - 500x^3i

Answer:

Submarine W. the closest submarine is the one with the lowest depth, -1.5 km (which should actually be written as an absolute value, 1.5km, depth can't be negative).

Answer:

4.

or fish

Step-by-step explanation:

thank you.

Answer:

4

Step-by-step explanation:

i hope this helped you ;)

thank you

Answer:

a = 151 degrees

Step-by-step explanation:

180 - 29 = 151

Answer:

151

Step-by-step explanation:

180 -29 = 151

Answer:

Question 5: Reduction. 1/3

Question 6: Dilation. 2.5

Step-by-step explanation:

In 5 it's getting smaller, and it was 1/3 the size

In 6 it's getting bigger, and it was 2.5 times the size

pls brainliest :D

b it is b sorry if it is wrong

The value of equivalent expression is,

⇒ 25z⁴ + 30z³ + 29z² + 12z + 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (5z² + 3z + 2)²

Now, We get;

⇒ (5z² + 3z + 2)²

⇒ 25z⁴ + 9z² + 4 + 30z³ + 12z + 20z²

⇒ 25z⁴ + 30z³ + 29z² + 12z + 4

Thus, The value of equivalent expression is,

⇒ 25z⁴ + 30z³ + 29z² + 12z + 4

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Answer:

b or g(x) = |x + 4| – 10

Step-by-step explanation:

Answer:

B) g(x) = |x + 4| – 10

Hope This Helps!

The values of x in the interval [0,2π] are given by:

[tex]\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}[/tex]

Given: 9 sin (x) [tex]\leq \frac{9}{2}[/tex]

To find: Values of x in the interval [tex][0,2\pi][/tex].

Finding:

As 9 sin (x) [tex]\leq \frac{9}{2}[/tex],

=> [tex]sin(x)\leq \frac{1}{2}[/tex]

As, [tex]sin (\frac{\pi}{6})=sin(\frac{1}{2})[/tex],

=> [tex]sin(x)\leq sin(\frac{\pi}{6})[/tex]

=> [tex]x\leq \frac{\pi}{6}[/tex], i.e., the principle value of x.

As sin (x) = sin (π - x), [tex]\pi -x\leq \frac{\pi}{6}[/tex]

=> [tex]\pi -\frac{\pi}{6}\leq x[/tex]

=> [tex]\frac{5\pi}{6}\leq x[/tex]

Hence, the values of x in the interval [0,2π] are given by:

[tex]\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}[/tex]

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