max and min of f(x)=x^2+8x+14

As x and y are directly proportional the value of y is 9 when the value of x is 15.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The value of y varies directly with x.

So, y ∝ x, Or y = kx, where k is the constant of proportionality.

When the value of y is 6 the value of x is 10.

Therefore, 6 = 10k.

k = 6/10 ⇒ 3/5.

Now the value of x is 15 hence the value of y will be,

y = (3/5).15.

y = 3×3 = 9.

The question can be formed as follows :

Q. x and y are directly proportional, when x is 10, y is 6. what is the value

y when x is 15?

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the time will be 12:05.........

Answer:

12:05

Step-by-step explanation:

Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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It does not matter which of the two "slope" formulas you use, nor does it matter which point you pick to be your "first" and which you pick to be your "second". The only thing that matters is that you subtract your x-values in the same order as you had subtracted your y-values.

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.

given

Put this together using the conditions given: 319.14 / (1- 19%)

Determine the total or difference: 319.14 / 0.81

Diminish the fraction: 394

Response: 394

The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.

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Answer:

I'd say still 90%

Step-by-step explanation:

The other 10% of bacteria that was left over was probably immune or unaffected by the disinfectant, hence why the spray didn't kill 100% to begin with.

Its similar to hand sanitizer, It kills 99.99% of germs because one germ is always immune or unaffected by it. Hope that makes sense and helps!

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

70/100 ; 3/10 ; 50/100

Step-by-step explanation:

You need to multiply numbers to make them equivalent.

1st Question:

7/10 has to multiply by 10/10 because the denominator of the other one is 100 and 10 x 10 is 100.

7 x 10 = 70

70/100 shall be your answer.

2nd Question:

This time you need to find your starting point.

A way to do this is to divide/simplify the fraction in order to make it equivalent.

You need to divide by 10 because your quotient and denominator at your starting point is 10 and 100/10 is 10.

30 divided by 10 is 3

Your Answer for this one is: 3/10

3rd Question:

Same thing as the 1st one.

Multiply by 10.

5 x 10 = 50

50/100 is your answer.

The calculated value of x at g(x) = 2 is x = 2.5

from the question, we have the following parameters that can be used in our computation:

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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The value of x=4, y = 5/2.

Linear equation solutions are the crossings or meetings of the lines or planes that describe the linear equations. A solution set for a system of linear equations is the set of values for the variables in every conceivable solution.

If no lines connect, or if the graphs of the linear equations are parallel, the system of linear equations cannot be solved.

x + 4y = 14,

3x + 4y = 22

here 3x-x = 22-14

2x = 8

x=4

y = 14-4/4 = 10/4 =5/2

y=5/2

Hence the value of x=4, y = 5/2.

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Answer:

Step-by-step explanation:

the their one is infinite solutions because they do not intersect first one is (3,2) then the middle one is (2,3)

In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles

The distance = bicycle 6 miles

number of hours =3/5 of an hour

then the rate = 6/ (3/5)

Then we can calculate the number of miles with the 6milesi n 3/5 hours  as;

= (6 * 5/3 )

=30/3

=10

Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs

=10 * 3 hours

= 30 miles

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The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

Answer:

$21

Step-by-step explanation:

There are two ways to do this question:

1. Multiply 60 by .65 and minus the product from the original price ($60)

2. Multiply 60 by .35 (This is because the discounted price maintains 35% of the regular price)

Let's do it both ways:

1. (60)(.65) = 39

60 - 39 = 21

2. (60)(.35) = 21

Therefore, the price now is $21.

I hope this helps!!

- Kay :)

Answer:

$21.00

Step-by-step explanation:

$60.00*(1.00-.65)

$60.00*(35)

$21.00

Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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ANSWER:

(0, 9)

STEP-BY-STEP EXPLANATION:

We have the following function:

We differentiate with respect to x to calculate the differential of y, like this:

To find out if there is a horizontal line dy/dx is 0, and we solve for x, just like this:

We substitute in the function and get:

Therefore, it has a horizontal tangent line at the point (0, 9)

The manny must do his signature on the deposit ticket in order to get deposited the cashback ticket.

What is cashback?

Cashback is a type of reward program offered by some retailers and online merchants that gives customers money back for making purchases. It is a way for retailers to reward customers for their loyalty and encourage them to keep coming back to their store. Cashback can be offered in the form of a fixed amount, a percentage of the purchase price, or a combination of both. Cashback rewards may be paid in cash or as credits to the customer's account, and they may be used to purchase additional items from the store or to offset future purchases.

When teller sees the deposit ticket he must have seen that it is not signed by manny hence he returned this to manny now manny just have to do one work that to sign that deposit ticket after that teller will accept that deposit ticket and manny will get his required cashback easily in his bank account

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Answer:

a edge

Step-by-step explanation:

lmk is anything is unclear. This would also work with cosine but it would have to be set up a little differently.

The value of x for the chord is:

x = 12

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.

Using the above principle, we can say:

3 * x = 4 * 9

3x = 36

x = 36/3

x = 12

Thus, the value of x for the chord is 12.

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The type I error, in the context of the problem, would be the incorrect rejection of the null hypothesis. This would mean that the college admissions office would incorrectly conclude that the claim is true, when in fact it is not.

The type II error, in the context of the problem, would be the incorrect acceptance of the null hypothesis. This would mean that the college admissions office would incorrectly conclude that the claim is false, when in fact it is true.

The college admissions office sets up a hypothesis test with the claim being 60% of college students have a job outside of school.

The null hypothesis would be that the claim is false, or that less than 60% of college students have a job outside of school.

The alternative hypothesis would be that the claim is true, or that at least 60% of college students have a job outside of school.

The type I error would be if the college admissions office incorrectly rejected the null hypothesis, that is, if they concluded that the claim is true and at least 60% of college students have a job outside of school when in fact the claim.

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Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

The instrument used here is a protractor.

An instrument used to measure angles in degrees is a protractor. When measuring angles using a protractor, it's crucial to check that the vertex of the angle is in the protractor's centre and that the angle's base is lined up with the protractor's baseline.

Acute Angle: - An angle that is less than 90 degrees is considered to be acute. For instance, if the angle is 30 degrees, we would line up the vertex of the angle with the protractor's centre and one of its sides with the baseline. The measurement would be read off the protractor scale, which in this instance would be 30 degrees.

Right Angle: - A right angle is a triangle with a 90 degree angle on each side. Using a protractor, we would line up the vertex of the angle with the protractor's centre and one side of the angle with the baseline to measure a right angle. The measurement would be read off the protractor scale, which in this instance would be 90 degrees.

Obtuse Angle: - An angle that is more acute than 90 degrees is referred to as an obtuse angle. When using a protractor to measure an obtuse angle, we would line up the vertex of the angle with the protractor's centre and one side of the angle with the baseline. The measurement would then be taken from the protractor scale and would be more than 90 degrees in this instance.

Straight Angle: - A straight angle is one that is 180 degrees in length. Using a protractor, we would line up the vertex of the angle with the protractor's centre and one side of the angle with the baseline to measure a straight angle. The measurement would then be taken from the protractor scale, which would be 180 degrees in this instance.

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Choice D is correct

Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.

The weight of the male that has a body surface area of 2.3 would be = 108kg

The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.

The formula for BSA = √w×h/3600

The weight of the male = X

The height of the male = 176cm

The BSA = 2.3

From the formula, make w the subject of formula;

w = BSA²× 3600/h

w = 2.3²× 3600/176

w= 5.29×3600 /176

w = 19044/176

w = 108kg

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Answer:

y = -6/3 + 12

Step-by-step explanation:

Step 1: Plot the point

Step 2: Simplify the given function then graph it

3y = -6x + 9 becomes:

y = -6/3x + 3

Step 3: Using the slope of -6/3 (because parallel lines will ALWAYS have the same slope) find 1 more point on the graph.

Step 4: Draw a line thru those points and find the y-int

y = ax + b, x and y are variables, a is the slope and b is the y-int

y = -6/3 + 12