How do I do this? I’m completely lost!!!

The factors of the polynomial x² + 16x + 48 are ;

-4 and -12.

Given the polynomial :

x² + 16x + 48

To factorize :

x² + 16x + 48 = 0

Two numbers whose addition gives 16 and product gives 48

The two numbers are : 12 and 4

x² + 12x + 4x + 48 = 0

x(x + 12) + 4(x + 12)

Hence,

(x + 12) = 0

(x + 4) = 0

Hence,

x = -4 or x = -12

Learn more : https://brainly.com/question/12787576

Answer:

Rs 180

Step-by-step explanation:

sp=200

discount=10%

10/100*200=20

200-20

180

Graph of increasing exponential function going through point (0, 2)

=======================================================

Explanation:

Assuming you meant to say f(x) = 2(1.5)^x, then we can see the equation is an exponential and it is increasing. It is increasing because the base b = 1.5 is larger than 1.

Plug in x = 0 to find y

y = 2(1.5)^x

y = 2(1.5)^0

y = 2(1)

y = 2

We have x = 0 and y = 2 pair up together meaning (0,2) is on the function curve. This is the y intercept.

Answer:

A.  graph of increasing exponential function going through point 0, 2

Step-by-step explanation:

Answer:

4y - 9

Step-by-step explanation:

y×4= 4y

4y-9

Answer:

5/w -7

Step-by-step explanation:

quotient means division

5/w

less than means it comes after

5/w -7

Answer:

5/w-7

Step-by-step explanation:

First, let's write out "the quotient of a number 5 and w"

The quotient is the result from dividing two numbers. Therefore, we must divide 5 and w.

5/w

Now, let's add on "7 less than". Since it is "less than" it will come after the division. "Less" means subtract. So, subtract 7 from 5/w.

5/w-7

7 less than the quotient of a number 5 and w as an expression is: 5/w-7

Answer:

The load weight is 2.29 N

Step-by-step explanation:

We note that  at equilibrium, the sum of the moment and the sum of forces about a point is zero, therefore, we have;

∑M =0

∑F = 0

The parameters given are;

The distance of the load from the hinge = 35 cm

The distance of the load from the spring balance = 15 cm

The applied force on the spring balance = 4 N↑

The direction of the applied force on the spring balance = Upwards

Let the weight of the load = W↓

The direction of the weight of the load = Downwards

We use downward negative and upward positive coefficients for the forces

We take moment about the hinge as follows;

Sum of moments equals zero gives;

4 × (35 - 15) - W × 35 = 0

∴ 4 × (35 - 15) = W × 35

4 × 20 = W × 35

W = 4 × 20/35 = 2.29 N

The weight of the load = 2.29 N.

Answer:

The load weight is 2.29 N

hope it helps

Answer: 10x^4y^5

Step-by-step explanation:

5x^3y^1•2x^1y^4

5•2=10

x^3•x^1=x^4

y^1•y^4=y^5

10x^4y^5

Answer:

144.5 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h  where the b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 9.7+24.3) * 8.5

  = 1/2 ( 34)*8.5

   =144.5

Answer:

it should be 4.24264068712 looked it up

Answer:

18 doesn't have a square root but you can simplify it

[tex] \sqrt{18 } [/tex]

then you take 9 which is a square number and divide it to get 3 which you'll place on the outside

[tex] 3\sqrt{2} [/tex]

Options :

A. 6 cups of flour

B.7 cups of flour

C.8 cups of flour

D.9 cups of flour

Answer:

B.7 cups of flour

Step-by-step explanation:

Given the following :

Cups of flour required to make muffins = 3 1/5

Cups of flour required to make banana = 3 2/3

Number of cups of flour required to make both recipe :

(cups of flour required to make muffins + cups of flour required to make bread)

(3 1/5 + 3 2/3) = 3+3+(1/5 + 2/3)

= 6 + (1/5 + 2/3) = (3 + 10)/15 = 6 + (13/15)

6 13/15 = 6.8666666

The best estimate is to round to the nearest whole number = 7

Answer: The answer is 7

Step-by-step explanation:

I got it right in my quiz! Hope this helps (:

Answer:

11/50 is the simplified form of the given expression.

Step-by-step explanation:

22/100

We will cancel the values by the table of 2

11/50 is the simplified form of the given expression.

Hope it will help you :)

Answer:

Step-by-step explanation:

Volume of the can is expressed as Length *Breadth* Height.

If the area of the can base is Length * Breadth

Volume of the can = area of the base of the can * Height

Given parameters

Volume of the can V = 3416.32cm³

Height of the can h = 17cm

Required

Area of the base of the can

Substituting the given parameters into the formula we have;

V = Ah

A = V//h

A = 3416.32/17

A = 200.96cm²

Hence, the area of the base of the can is 200.96cm²

Answer:

Standard deviation

Step-by-step explanation:

The standard deviation provides a measure of the overall variation in a data set. The standard deviation is always positive or zero. The standard deviation is small when the data are all concentrated close to the mean, exhibiting little variation or spread.

Answer:

Step-by-step explanation:

The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is

[tex]Y= mx+c\\\\ Y= 2X+25[/tex]

where Y= the dependent variable, monthly cost

          x= the independent variable, the number of hours for aerobic classes

          c= the intercept, $25

Answer:

Well, in the local reservoir we have an initial amount of water A.

And per hour, the amount of water in the reservoir decreases by 500 gals.

So after t hours, the amount of water in the reservoir is:

W = A - 500gal*t

This is a linear equation, so the model that fits best in the given situation is a linear model.

Where the only thing that you need to take in mind, is that the domain of this model is restricted:

This is because we can not have a negative amount of water in the reservoir, so the maximum value of t accepted is:

W = 0 = A - 500gal*t

t = A/500 hours

So the domain of this linear relation is:

t ∈ {0h, A/500 }

Answer: lin

Step-by-step explanation:

Answer:

3900

Step-by-step explanation:

since its to the nearest 100th we use the common rule that if the number is greater than half way then we round up otherwise if it is less then we round down. In the number 3867, 867 is greater than 850 so we round up. It becomes 3900 then.

w = 1ft

l = 4ft

P  =2w + 2l

2w = l/2 => l = 4w

10ft = 2w + 2×4w

10ft = 2w + 8w

10ft = 10w

w = 10ft/10

w = 1 ft

l = 4w

l = 4×1ft

l = 4 ft

Answer:

length = 4 ft

Width = 1 ft

Step-by-step explanation:

Let length = l ft

Width = w feet

[tex]\frac{1}{2}l = 2w\\\\l = 2w*2\\\\l = 4w[/tex]

Perimeter = 10 ft

2*(l +w)= 10

2*( 4w + w ) = 10

2*5w = 10

10w = 10

Equation:  10w = 10

Divide both sides by 10

10w/10 = 10/10

w = 1 ft

Plug in the value of w in l = 4w

l = 4 *1

l = 4 ft

Answer:

NL  = 440 /13  or 33.85 (to two decimals)

Step-by-step explanation:

Consider triangles JKL and NML

angle JLK = angle NLM           vertical angles

angle KJL = angle MNL           given

Therefore triangles JKL and NML are similar

By proportion of corresponding sides of similar triangles,

NL / JL = LM / LK

Substitute given values

NL / 20 = 22 / 13

solve for NL

NL = 20*22 / 13 = 440 /13  or 33.85 (to two decimals)

Answer:

[tex]\huge \boxed{33.85}[/tex]

Step-by-step explanation:

JL is similar to NL. KL is similar to ML.

We can use ratios to solve.

JL/KL = NL/ML

Let the length of NL be x.

20/13 = x/22

Cross multiply.

13 × x = 22 × 20

13x = 440

Divide both sides by 13.

(13x)/13 =440/13

x = 440/13 = 33.846154...

Answer:

10.34

Step-by-step explanation:

converting digits to feet,

3ft 6in = 3.5 ft

2ft 9in = 2.75 ft

now feet to yards

3.5ft = 1.16666667 yards (rounded)

2.75ft = 0.9166666667 yards (rounded)

29ft = 9.66666667 yards (rounded)

multiplying them, you'll get approximately 10.34 cubic yards (rounded), that's the volume.

or you can multiply the digits in feet,

3.5×2.75×29

= 279.125 cubic ft

now to convert to cubic yards from cubic ft,

279.125/3³

= 10.337963..

= 10.34 (rounded to the nearest hundredth)

Answer:

n = -56

Step-by-step explanation:

n/8 = (-7)

Multiply each side by 8

n/8* 8 = (-7)*8

n = -56

Answer:

[tex]n=-56[/tex]

Step-by-step explanation:

We can use algebra and simplify the equation until we have n isolated.

[tex]\frac{n}{8} = -7\\\frac{n}{8}\cdot8 = -7\cdot8\\\\n=-56[/tex]

Hope this helped!

Answer:

vertical

Step-by-step explanation:

The line x = -5 includes all points where the value of x is -5, regardless of the value of y. This can be graphed as a vertical line going through (-5, 0), as the line represents the only place where x is the value -5.

Answer:

Not enough infomation, you need to provide #12

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.

Answer:

approximately 9.2195

Step-by-step explanation:

We can use Pythagorean theorem

one leg is 7 and the other leg is 6

square them

49 and 36

add

85

square root

approximately 9.2195

Answer:

The answer is

[tex] \sqrt{97} \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J( – 8,0) and K(1, 4)

The distance between them is

[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]

We have the final answer as

[tex] \sqrt{97} \: \: \: units[/tex]

Hope this helps you

Answer:

Ok, we know that the driving accuracy is of 71%.

Then the first step is to get a spinner that is enumerated from 1 to 100 (in such way that each number is equispaced)

Now, we can mark a section between numbers 1 and 71. (this regio represents the cases where the shot lands in the fairway) and the unmarked region represents the cases where the shot does not land in the fairway.

Now, for each shot, we can spin our spinner next to a fixed pencil, depending on the section of the spinner that is marked by the pencil when the spinner fully stops, we can guess if the shot landed or not in the fairway.

In this way the shot has the region from 1 to 71 (71%) to land in the fairway

and the region from 72 to 100 to not land in the fairway.

If you want to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives, you need to spin the spinner 15 times, and record the oucomes.

Answer:

94.33

Step-by-step explanation:

add up all numbers then input into a percentage calculator

Percentage of flu vaccine has been given 94.33%

Percentage is defined as ratio expressed as a fraction of 100.

The physician have total 1500 flu injections

300 shots given in September,

450 shots given in October,

and 665 shots given in November,

Total flu vaccine has been given = 300+450+665 = 1415

Percentage of flu vaccine has been given = (1415/1500)×100%

Percentage of flu vaccine has been given = 0.9433×100%

Percentage of flu vaccine has been given = 94.33%

Hence, percentage of flu vaccine has been given 94.33%

Learn more about percentage

brainly.com/question/24159063

#SPJ2

Answer:

c) 12/15 = 4/5

Step-by-step explanation:

imagine we mirror the triangle up, so that Z is on top.

then you can clearly see that 6 is cos(X) times r (and r is then 7.5).

XY is sin(X)×7.5

and again, 7.5 is r (the line making the X angle).

so, the cosine ratio of X is

6 = cos(X)×7.5

cos(X) = 6/7.5 or then 12/15. or simplified 4/5.

Answer:

well i cant answr it if i oont have more inforomartion

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we add 11,36,61,... to the bottom we get bottom as a multiple of numerator.

Answer:

Hey there!

Do you mean- [tex]n^2+2n?[/tex]

If so, then your answer would be 5^2+2(5), or 35.

Let me know if this helps :)