3x2 + 6x + 3


Factor out the GCF

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:

33.75

Step-by-step explanation:

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:

[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:

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 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: 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:

undefined

Step-by-step explanation:

when x has the same number is undefined

but when y has the same is zero

Answer:

Que

Step-by-step explanation:

i speak english

Answer:

$408

Step-by-step explanation:

Find 3% of $13,600:

3 * 13,600 / 100 = $408

Answer:

b. y=0.6x+6

Step-by-step explanation:

First, find the slope using the slope formula, [tex]\frac{0-6}{-10-0}[/tex]. This is 6/10, which simplifies to 3/5 or 0.6. Then you need to find the y-intercept, however, this is already given to you. Remember that the y-intercept is when x=0, so (0,6) must be the y-intercept. Therefore the equation is y=0.6+6.

Answer:

i exactly didnt understand what you meant but if that was a question on what was the number it was 16.

Step-by-step explanation:

cause 16+4=20

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:

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].

hi can you send me the formula...let me teach you

Answer:

Step-by-step explanation:

ABCD is a square.

BD and AC are diagonals and they have equal length.

We have AC = 7x + 18 and BD = 10x - 3

Since AC = BD, we substitute their values and solve for x:

Then find the length of BD:

Correct option is B.  BD = 67

Answer:

the third one cause of it's inputs

Answer:

Try finding some place with cheap screen fixing prices. If you can't, ask a friend if they know how to do this type of stuff.

Step-by-step explanation:

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!

Answer:

2.75

Step-by-step explanation:

Answer:

22%

Step-by-step explanation:

out of 100, 22 boxes are shaded

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:

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:

Answers 3 ((3x4)x2) and 6 (3x(4x2)) are equal to eachother.

Step-by-step explanation:

1. 3(4+2)=18

2. 3+(4x2)=11

3. (3x4)x2=24

4. (3x4)+2=14

5. (3+4)+2=9

6. 3x(4x2)=24

3. and 6. are the only two answers that have the same outcome, therefore equaling eachother.

Answer:

C. y = -5/2x +8

Step-by-step explanation:

To solve first find the slope using the slope formula which is m=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. To find the slope simply plug in the points, [tex]\frac{-2-3}{4-2}[/tex] which equals -5/2. Next, put the equation into slope-point form, which is [tex]y-y_{1} = m(x-x_{1})[/tex]. I will use the point (2,3). y-3=-5/2(x-2), then solve for y which equals y=-5/2+8.

Answer:

21/4 or 5 1/4

Step-by-step explanation:

Answer: 1 1/3 * 3 = 4

Answer:

second option

Step-by-step explanation:

Answer:

y = 2x +4

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} - x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~

(1, 6)

(- 3, - 2)

m = 2

y - 6 = 2 ( x - 1 ) <------ ( point-slope form )

y = 2x + 4  <------- ( slope-intercept form )

2x - y = - 4  <------ ( standard form )

Answer:

C. The mean daily salary is greater than $350 per day

Step-by-step explanation:

The computation is shown below:

Y = a + bX

where,

Y = money made by a random selected

a = $150

b = $50

X = number of loan

Now

E(x) = (1 × 0.05) + (2 × 0.10) + (3 × 0.22) + (4 × 0.30) + (5 × 0.18) + (6 × 0.12) + (7 × 0.03)

= 3.94

Now

E(y) = $150 + ($50 × 3.94)

= $347

hence, the option C is not correct

The mean daily salary is greater than $350 per day and this can be determined by using the given data.

Given :

At a certain company, loan agents are paid based on the number of loans they close in a day.

The computation is given by:

Y = a + bX

where Y is the money made by randomly selected, a is $150, b is $50, and X is the number of loans.

Now, the value of E(x) is given by:

[tex]\rm E(x) = (1\times 0.5)+(2\times 0.1)+(3\times 0.22)+(4\times 0.3)+(5\times 0.18)+(6\times 0.12)+(7\times 0.03)[/tex]

[tex]\rm E(x) = 3.94[/tex]

Now, the value of E(y) is given by:

[tex]\rm E(y) = 150+(50\times 3394)[/tex]

E(y) = $347

So, the correct option is given by C) The mean daily salary is greater than $350 per day.

For more information, refer to the link given below:

https://brainly.com/question/21586810

Answer: 2.4

Step-by-step explanation: