what is the Y intercept of the quadratic function f(x)=(x-6)(x+3)

Answer:

The answer is "[tex]\bold{\frac{32}{3}}\\[/tex]"

Step-by-step explanation:

The rectangle should also be symmetrical to it because of the symmetry to the y-axis  The pole of the y-axis.  Its lower two vertices are (-x,0). it means that  

and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:  

The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).  

The area of the rectangle:

[tex]A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3[/tex]

The local extremes of this function are where the first derivative is 0:

[tex]A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\[/tex]

Simply ignore the negative root because we need a positive length calculation

It wants a maximum, this we want to see if the second derivative's profit at the end is negative.

[tex]A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}<0\\\\2.\frac{4\sqrt{3}}{3}= \frac{8\sqrt{3}}{3}\\\\\vertical \ dimension\\\\16-(\frac{4\sqrt{3}}{3})^2= \frac{32}{3}[/tex]

Answer:

$300

Step-by-step explanation:

Let [tex]x[/tex] be the original price.

[tex]x \times (1-0.04)=288[/tex]

[tex]0.96x=288[/tex]

[tex]x=\frac{288}{0.96}[/tex]

[tex]x=300[/tex]

Answer:

$300

Step-by-step explanation:

If it was a 4% reduction then we get:

[tex]x*0.96=288\\[/tex]

Divide both sides by 0.96

[tex]x=300[/tex]

The original suit price was $300

Answer:

(74/9,274/9)

Step-by-step explanation:

You have

x-5y=4 and

y=2x+14

so we subsitute y in the first equation

x-5(2x+14)=4

x-10x-70=4

-9x=74

x=74/9

so y=2(74/9)+14

y=148/9+14

y=274/9

so the oredered pair is

(74/9,274/9)

The solution of the system of equations given is (-74/9, -22/9).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given linear equations are,

x - 5y = 4

y = 2x + 14

We have to solve this by substitution.

Substituting the value of y as y = 2x + 14 in the first equation x - 5y = 4,

x - 5 (2x + 14) = 4

By the distributive property,

x - 10x - 70 = 4

-9x = 74

x = -74/9

y = 2x + 14 = (2 × -74/9) + 14 = -22/9

Hence the solution of the system of equations as the ordered pair is (-74/9, -22/9).

Learn more about System of Linear Equations here :

https://brainly.com/question/19549073

#SPJ2

Answer:

x≤3

Step-by-step explanation:

9-3x≥2(x-3)

9-3x≥2x-6

-3x-2x≥-6-9

-5x≥-15

-5x/-5≥-15/-5

x≤3

Answer:

17 inches

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

a²=90.25

b²=196

c²=286.25

c=length of diagonal

c=16.9189243

c≅17 inches

Answer:

A,D and E

Step-by-step explanation:

We are given that a function

[tex]f(x)=49(\frac{1}{7})^x[/tex]

The given function is exponential function .

The exponential function is defined for all real values of x.

Therefore, domain of f=Set of  all real numbers

Substitute x=0

[tex]y=f(0)=49>0[/tex]

Range of f is greater than 0.

x=1

[tex]y(1)=\frac{49}{7}[/tex]

x=2

[tex]y=49(\frac{1}{7})^2=\frac{1}{7}y(1)[/tex]

As x increases by 1, each value of y is one-seventh of the previous y-value.

Therefore, option A,D and E are true.

Answer:

A D E

Step-by-step explanation:

Edge2020 quiz

Answer:

7 and 12

Step-by-step explanation:

7 and 12 are ok

17 is not

hope this helps

The solution of the inequality x < 17 will be all the real numbers less than 17. Then the correct options are A and B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The inequality is given below.

x < 17

The solution of the inequality x < 17 will be all the real numbers less than 17. Then the correct options are A and B.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

Answer:

Volume: 3x2x4=24 so the volume is 24 Meter3

Surface area:

52 Square meter

The correct answer is

B) 17

I just took the quiz on edge

Answer:

it is 17

Step-by-step explanation:

i got it right on my test review

Answer:

  193.77 < p < 1806.23

Step-by-step explanation:

You want R(p) > 2,100,000, so ...

  -6p^2 +12000p > 2100000

  p^2 -2000p < -350000 . . . . divide by -6

Adding (2000/2)^2 = 1000000 will "complete the square".

  p^2 -2000p +1000000 < 650000 . . . . complete the square

  (p -1000)^2 < 650000

  -√650000 < p -1000 < √650000 . . . . take the square root

  1000 -806.23 < p < 1000 +806.23 . . . .add 1000

  193.77 < p < 1806.23 . . . . range of prices for desired revenue

Answer:

The return on assets in this business for Macrosoft is

ROA = 10.50%

Step-by-step explanation:

Return on Equity:

ROE represents how much a firm is generating profits by using the shareholder's money.

ROE is calculated as

[tex]$ {ROE = \frac{Annual \:\: net\: \: income}{Average \:\: shareholder's \:\: equity} $[/tex]​  ​

Return on Assets:

ROA represents how much a firm is generating profits for every dollar of its assets.

ROA is calculated as

[tex]$ {ROA = \frac{Annual \:\: net\: \: income}{Total \:\: assests} $[/tex]​  ​ ​

What is the return on assets in this business if Macrosoft has no debt?

Debt plays an important role in the calculations of return on assets.

We know that

Assets = Liabilities + Equity

Since the Macrosoft has no debt, its return on assets will be same as return on equity.

Assets = Equity

ROA = ROE

ROA = 10.50%

Answer:

(a) 125

[tex](b) \dfrac{1}{125}[/tex]

[tex](c) \dfrac{124}{125}[/tex]

Step-by-step explanation:

We are given that access code consists of 3 digits.

Each digit can be any digit through 1 to 5 and can be repeated.

Now, this problem is equivalent to the problem that we have to find:

The number of 3 digit numbers that can be formed using the digits 1 to 5 with repetition allowed.

(a) We have 3 places here, unit's, ten's and hundred's places respectively and  each of the 3 places have 5 possibilities (any digit allowed with repetition).

So, total number of access codes possible:

[tex]5\times 5 \times 5 = 125[/tex]

(b) Suppose, an access code is randomly selected, what is the probability that it will be correct.

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Here, only 1 code is correct, so

Number of favorable cases = 1

Total number of cases = 125

So, required probability:

[tex]P(E) = \dfrac{1}{125}[/tex]

(c) Probability of not selecting the correct access code on first time:

[tex]P(\overline E) = 1-P(E)\\\Rightarrow P(\overline E) = 1-\dfrac{1}{125}\\\Rightarrow P(\overline E) = \dfrac{125-1}{125}\\\Rightarrow P(\overline E) = \dfrac{124}{125}[/tex]

So, the answers are:

(a) 125

[tex](b) \dfrac{1}{125}[/tex]

[tex](c) \dfrac{124}{125}[/tex]

Answer: b

Explanation:

The -2 outside of the parentheses means it’s at y=-2 and the -4 inside the parentheses means it’s at x= 4 because it’s always the opposite

Answer:

SA = 144π or 452 cm

Step-by-step explanation:

Surface area of a sphere: SA = 4πr²

To find r radius, we simply divide diameter by 2 to get r = 6. Now we simply plug in 6:

SA = 4π(6)²

SA = 4π36

SA = 144π or 452.389

Answer:

144pi

Step-by-step explanation:

calculator

Answer:

A. The E(Y) is 0.80

B. The expected amount of the surcharges is $165

Step-by-step explanation:

A. In order to calculate the E(Y), we would have to calculate the following formula:

E(Y)=∑yp(y)

E(Y)=(0*0.5)+(1*0.25)+(2*0.20)+(3*0.05)

E(Y)=0+0.25+0.40+0.15

E(Y)=0.80

B. In order to calculate the expected amount of the surcharges we would have to calculate the following formula:

E($110Y∧2)=110E(Y∧2)

=110∑y∧2p(y)

=110((0∧2*0.5)+(1∧2*0.25)+(2∧2*0.20)+(3∧2*0.05))

110(0+0.25+0.80+0.45)

=$165

Answer:

Step-by-step explanation:

Let x represent the amount invested in the higher-earning account. Then the investment in the other account is (7200-x), and the total interest is ...

  0.13x +0.11(7200 -x) = 832

  0.02x = 832 -792 . . . . . . eliminate parentheses, collect terms, subtract 792

  x = 40/0.02 = 2000 . . . . divide by the coefficient of x

$2000 was invested at 13%; $5200 was invested at 11%.

Answer:

  A. The weight of the objects inside the box

Step-by-step explanation:

The energy required to lift a box is a function of the weight of it and of the distance it is lifted.

_____

In physics terms, the energy is the product of force and distance. The applicable force when lifting the box is the weight of the box (the box itself and any objects inside).

Answer:

The population proportion is 0.1057.

For samples of size n: Mean = 0.1057, Standard deviation [tex]s = \frac{0.3075}{\sqrt{n}}[/tex]

Step-by-step explanation:

Central Limit Theorem for Proportions:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Population proportion:

Of 30,000 people, 3,170 people either drive a hybrid car or have indicated on a recent survey that they would be interested in driving one.

This means that [tex]p = \frac{3170}{30000} = 0.1057[/tex]

The population proportion is 0.1057.

Mean and standard deviation of the sampling distribution for samples of size n

By the Central Limit Theorem, the mean is [tex]\mu = p = 0.1057[/tex]

Standard deviation:

[tex]s = \sqrt{\frac{0.1057*0.8943}{n}} = \frac{0.3075}{\sqrt{n}}[/tex]

Answer:

[tex]t=\frac{10.8-11}{\frac{1.5}{\sqrt{9}}}=-0.4[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=9-1=8[/tex]  

And the p value would be given by:

[tex]p_v =P(t_{(8)}<-0.4)=0.350[/tex]  

Since the p value is higher than the the significance level of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from the traditional methods.

Step-by-step explanation:

Assuming this first part of the problem obtained from the web: "Using traditional methods, it takes 11.0 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed"

Information given

[tex]\bar X=10.8[/tex] represent the mean height for the sample  

[tex]s=1.5[/tex] represent the sample standard deviation

[tex]n=9[/tex] sample size  

[tex]\mu_o =11[/tex] represent the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

t would represent the statistic  

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to check if the true mean for this case is equal to 11 or not, the system of hypothesis would be:  

Null hypothesis:[tex]\mu = 11[/tex]  

Alternative hypothesis:[tex]\mu \neq 11[/tex]  

The statistic would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{10.8-11}{\frac{1.5}{\sqrt{9}}}=-0.4[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=9-1=8[/tex]  

And the p value would be given by:

[tex]p_v =P(t_{(8)}<-0.4)=0.350[/tex]  

Since the p value is higher than the the significance level of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from the traditional methods.

Step-by-step explanation:

1.07×1.25

=1.3375 euros

Answer:

[tex]\boxed{\sf \ \ \ 49a^8b^6c^2 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex](-7a^4b^3c)^2=(-1)^27^2a^{4*2}b^{3*2}c^2=49a^8b^6c^2[/tex]

as

[tex](-1)^2=1[/tex]

Answer:

7.5* 10^8

Step-by-step explanation:

(1.5 x 10^5)(5 x 10^3)

Multiply the numbers

1.5*5=7.5

Add the exponents

10 ^(5+3) = 10^8

Put back together

7.5* 10^8

This is in scientific notation

Answer: base width = 27 in

Step-by-step explanation:

Base width = 3 x (V / hl)

3 x (1296 / 24 x 6)

3 x (1296 / 144)

3 x 9 = 27

Answer:

  73.4%

Step-by-step explanation:

The ratio of acid to mixture volume is ...

  (0.62·175 +1.00·75)/(175 +75) = 183.5/250 = 0.734 = 73.4%

73.4% of the resulting mixture is acid.

Answer:

Store A

Step-by-step explanation:

So. What we are going to want to do here is start off by having two stores obviously. And we have the sales that they have. If the discount is 20% rhat means the new price will be 80% of 250. So we take 250 x .8 = 200

If the discount is 25%, that means the new price will be 75% of what it was before hand. So we take 280 x .75 = 210. So the better price is at Store a

Answer:

{-1, -8}

Step-by-step explanation:

Please enclose "1 - 3x" inside parentheses so the reader will know that you want the square root of all of "1 - 3x".

Squaring both sides of the given equation, we get:

1 - 3x = x^2 + 6x + 9, or  x^2 + 6x + 8 + 3x, or

x^2 + 9x + 8 = 0.  Factoring, we get:  (x + 8)(x + 1) = 0, so that the solutions are {-1, -8}.

Answer:

I hope the given equation is :

{-1, -8}

First step to solve this equation to remove square root from the left side. So, take square on each sides of the equation. Therefore,

1 - 3x = (x + 3)²

1 - 3x = (x + 3)*(x + 3) Since a² = a * a

1 - 3x = x² + 3x + 3x + 3² By multiplication.

1 - 3x = x² + 6x + 9 Combine the like terms.

x² + 6x + 9 - 1 + 3x = 0 Subtract 1 and add 3x from each sides of equation

x² + 9x + 8 = 0 Combine the like terms.

Next step is to factor the trinomial to solve the above equation for x.

For that break downn the constant 8 into two multiples so that the addition of the multiples will result the coefficient of x = 9.

So, 8 = 1 * 8

Addition of 1 and 8 will give 9. So, next step is to replace 9x with 1x + 8x. So,

x² + 1x + 8x + 8 = 0

(x² + 1x) + (8x + 8) = 0 Group the terms.

x ( x + 1) + 8 (x + 1 ) = 0 Take out the common factor from each group.

(x +1 ) ( x + 8 ) = 0 Take out the common factor (x + 1).

So, x + 1 = 0 and x + 8 = 0 Set up each factor equal to 0.

Hence, x = -1 and - 8.

Next step is to plug in -1 and -8 in the original equation to cross check the solutions.

For x = -1,

Simplify each sides separately.

2 = 2

2 = 2 is correct. So, x = -1 satisfy the equation.

Hence, x = -1 is the real solution of the given equation.

Similarly let's plug in x = -8 now. So,

Simplify each sides separately.

5 = 2

5 = 2 is not true. So, x = -8 is the extraneous solution.

Therefore, the only solution is x = -1.

Hence, the correct choice is C.

Hope this helps you!

Step-by-step explanation:

mark brainlies plssssssssss

Answer:

80-119 ⇒ 5

Because

80-99 ⇒ 3

100-119 ⇒ 2

So 2+3 = 5

Answer:

80-119: 5

Step-by-step explanation:

If you just added up, you can find all the values.

Answer:

Step-by-step explanation:

10.5a + 3.75b = 2071.50

b = 82 students

Substitute 'b' value in the equation

10.5a + 3.75 * 82 = 2071.50

10.5a + 307.5 = 2071.50

10.5a = 2071.50 - 307.5

10.5a = 1764

Divide both sides by 10.5

a = 1764/10.5

a =17640/105

a= 168

168 adult tickets were sold

Answer:

Brainleist :)

Step-by-step explanation:

120 dollars for 4 hours of labor

120/4 dollars for 1 hour of labor

B) 30 dollars for 1 hour of labor

answe:

B) 30 dollars for 1 hour of labor

Step-by-step explanation:

120 dollars for 4 hours of labor

120/4 dollars for 1 hour of labor

important messagee:

♡ ∩_∩

（„• ֊ •„)♡

┗━∪∪━━━━━━━━━

♡ Thank you for ur time 。 ♡

┗━━━━━━━━━