The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
4 (89.95) + x = 628.35; x = 538 dollars and 40 cents

Answer:

The equation for the parabola is [tex]y = 2\cdot x^{2}+4\cdot x +3[/tex].

Step-by-step explanation:

Let be [tex]P(x,y) = (2, 19)[/tex], [tex]Q(x,y) = (6,99)[/tex] and [tex]R(x,y) = (-1, 1)[/tex] and quadratic regression is represented by a second-order polynomial of the form:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex] (1)

Where:

[tex]x[/tex] - Independent variable

[tex]y[/tex] - Dependent variable

[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Coefficients

Algebraically speaking, we need three distinct points on plane to determine the quadratic regression. By using all information, we form the following system of linear equations:

[tex]4\cdot a +2\cdot b + c = 19[/tex] (2)

[tex]36\cdot a + 6\cdot b + c = 99[/tex] (3)

[tex]a -b + c = 1[/tex] (4)

The solution of this system is: [tex]a = 2[/tex], [tex]b = 4[/tex], [tex]c = 3[/tex]. Hence, the equation for the parabola is [tex]y = 2\cdot x^{2}+4\cdot x +3[/tex].

Answer:

29 degree

because it is a linear pair and sum of Lanier pairs is 180 degree so one value is give and the other value we have to find by subtracting 151 from 180

mark me as the brainliest

Answer: The cost is $600

Step-by-step explanation: The wall is a rectangle whose area is calculated as:

S = 8.5 x 2

S = 17

However, there is a door on the wall which won't be whitewashed so:

Area of door:

[tex]S_{d}[/tex] = 2 x 1

[tex]S_{d}[/tex] = 2

Whitewashed area will be

S - [tex]S_{d}[/tex] = 17 - 2

S - [tex]S_{d}[/tex] = 15m²

To whitewash the wall, it costs $40 per each m², so:

Cost = 15*40

Cost = 600

To whitewash the wall, it will cost $600.

Answer: 2.4

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

[tex]\boxed{\pink{\sf Option \ (1) \ is \ correct . }}[/tex]

Step-by-step explanation:

Given function to us is ,

[tex]\implies y = 5x^2 + 10 [/tex]

And, we need to find the inverse of the equation.

So , for that firstly replace x with y . The equation becomes

[tex]\implies x = 5y^2 + 10 [/tex]

Now , next we need to solve for y .

[tex]\implies x = 5y^2 + 10 \\\\\implies 5y^2 = x - 10 \\\\ \implies y^2 = \dfrac{x-10}{5} \\\\\implies y = \sqrt{\dfrac{x-10}{5}} [/tex]

Now , replace y for [tex]f^{-1}(x)[/tex]

[tex]\underline{\boxed{\orange{\tt \implies f^{-1}(x) = \pm\sqrt{\dfrac{x-10}{5}}}}}[/tex]

As per the options provided in Question we can that option (1) mathces with our answer when we just interchanged the variables.

Hence option (1) is correct.

Answer:

False

Explanation:

Quadratic functions can sometimes even have only one or NO x-intercepts.

So the answer is false.

Hope this is correct, have a great day!

Step-by-step explanation:

To rationalize this, Multiply both numerator and denominator by the conjugate of the denominator

The conjugate of the denominator is 5-√3

9(5-√3)/(5+√3)(5-√3)

=45-9√3/22

Answer:

I believe the answer is

x + 4 = 6.5

-4 -4

__________

x = 2.5

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

Given that:

The sample size = 150

The sample mean = 70.69

The standard deviation = 29.60

The sample mean is equal  to the point estimate of the population = 70.69

At 99% confidence interval level is:

∝ = 1 - 0.99

∝ = 0.01

The critical value:

[tex]Z_{\alpha/2} = Z_{0.01/2} \\ \\ Z_{0.005} = 2.58 \ using \ Z \ tables[/tex]

The Margin of error = [tex]Z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]= 2.58 \times \dfrac{29.6}{\sqrt{150}}[/tex]

= 2.58 × 2.4168

≅ 6.235

At 99% confidence interval; the estimate of the population mean lies within the interval:

= [tex]\overline x - E < \mu \ < \overline x + E[/tex]

= 70.69 - 6.235 < μ <  70.69 + 6.235

= 64.455  < μ < 76.925

= (64.455 , 76.925 )

Answer:

the third one cause of it's inputs

Answer:

$408

Step-by-step explanation:

Find 3% of $13,600:

3 * 13,600 / 100 = $408

Answer:

B. $3.56

Step-by-step explanation:

You take $28.48 and divide it by 8

28.48 / 8 = 3.56

/ = divide

Answer: 44%

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

   = 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%

Answer:

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

= 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%

Answer:

2.75

Step-by-step explanation:

Answer:

33.75

Step-by-step explanation:

Answer:

A, B, C, D

Step-by-step explanation:

If it is wrong, then remove the C because i am not too sure about that

Answer:

take a look at the explanation

-u divided by h

Answer:

Step-by-step explanation:

Examples of radical functions:

The first one undefined when the domain is negative

The second one is defined at any value of domain, so it includes all real numbers

Answer:

Que

Step-by-step explanation:

i speak english

Answer:

The third one.

Step-by-step explanation:

Assuming that Clarence repaired the eight transmissions using 2 days, he will likely repair 24 transmissions if he works for the next 6 days.

A proportion shows the relationship between two or more ratios or quantities.

Number of transmissions repaired in 2 days = 8

Number of days to repair more transmissions = 6

Estimated number of transmissions to be repaired = 24 (8/2 x 6)

Since the graph was not showed, it is assumed that Clarence completed repairing the 8 transmissions in 2 days.

Thus, assuming that Clarence repaired the eight transmissions using 2 days, he will likely repair 24 transmissions if he works for the next 6 days.

Learn more about proportions at https://brainly.com/question/870035

#SPJ1

Answer:

22%

Step-by-step explanation:

out of 100, 22 boxes are shaded

Answer:

x = 5 ± i √ 11 /6

Step-by-step explanation:

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y  with  0  and solve for  x .

Answer:

Temperature on Tuesday morning is [tex]-18^{o}[/tex].

Step-by-step explanation:

Temperature is the measure in degrees how cold or hot a substance is. The three scale of measurements are: Celsius, Fahrenheit, and Kelvin.

In the given question, temperature on Monday morning is -14 degrees. Since it was given that the temperature on Tuesday morning is 4 degrees colder than that of Monday, then;

Temperature on Tuesday = -14 + (-4)

                                          = -14 -4

                                          = -18

Therefore, the temperature on Tuesday morning is [tex]-18^{o}[/tex].

Answer:

A) £1440 in the ratio of 3:5:7 is - £288: £480: £672

After Fran gives her sister Ali a share in the ratio 4:1, Fran was left with £537.60 and her sister was left with £134.40

B) Fran to Seth = £537.60: £480 → £28: £25

Step-by-step explanation:

To find 1 part of £1440 in the ratio of 3:5:7 you have to add 3+5+7= 15

Then you divide £1440 by 15 which is = £96

Next you take 96 and times it by 3 then 5 then 7 and put it in the ratio 3:5:7= £288: £480: £672

To find out how much Fran and her sister Ali end up with you have to add 4 & 1 = 5

Then divide Fran’s share, £672, by 5= £134.40

£134.40 is Ali’s share and now we need to find Fran’s by multiplying £134.40 by 4 which is= £537.60

F: A = £537.60: £134.40

As we now know Fran is left with £537.60 and we have to put that into a ratio with what Seth has. Earlier we found out that Seth has a total of £480 from the original share (£1440). If we put this knowledge into a ratio it becomes:

£537.60: £480

But we need to simplify them. So we need to change the values to whole number.

Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places. We then have: 480: 537.6 = 4800: 5376

Try to reduce the ratio further with the highest common factor (HCF). The HCF in our case is 192.

We need to divide both terms by the HCF:

4800 ÷ 192= 25

5376 ÷ 192= 28

Answer:

Step-by-step explanation:

Since we don't know how much each one of them gets, we will call that unknown amount x. Luiz gets 3x of the total amount, Seth gets 5x of the total amount, and Fran gets 7x of the total amount. The total amount is 1440, so the equation to find out how much that unknown amount x is looks like this:

3x + 5x + 7x = 1440 and

15x = 1440 so

x = 96.

That means that Luiz gets 3(96) = 288,

Seth gets 5(96) = 480,

and Fran gets 7(96) = 672. But Fran shares her portion in the ratio 4:1 with her sister. That's a separate equation that looks like this:

4x + 1x = 672 and

5x = 672 so

x = 134.40

That means that Ali gets 134.40, leaving Fran with 537.60.

That answers a. Now for b, the ratio of Fran's portion (what she's left with, at least) to Seth's is the fraction

[tex]\frac{537.60}{480}=\frac{28}{25}[/tex] or in decimal form, 1.12

Answer:

The first one is c the second is b