Solve the following quadratic equation for all values of x in simplest form.
(x – 4)^2 – 47 = 32

Answer:

225 x 0.15 = 33.75 profit

Step-by-step explanation:

Answer:

Profit:  Rs 33.75

Step-by-step explanation:

His profit was 15% of Rs 225, which comes to 0.15(Rs 225), or Rs 33.75

Answer:

a=6

b=-2

Step-by-step explanation:

You can use the hint provided on the mathswatch question page, I've attached it below

step 1

h(4) = ax+b = (ax4)+b = 4a+b

it is given in the question that h(4)=22, therefore 4a+b=22

step 2

work out the equation for inverse g

g^-1(x) = [tex]\frac{x-2}{3}[/tex]

step 3

input 14 into the equation in place of x to find g^-1(x)

[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]

so, g(x)^-1=4

step 4

find h(1):

h(1) = (ax1)+b = a+b

so, h(1)=a+b

step 5

a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))

step 6

Now you have two simultaneous equations:

4a+b=22

a+b=4

then, solve for a:

4a+b=22

- a+b=4  

3a=18

a=6

then, input answer for a into either equation (I've gone with the a+b=4 equation):

6+b=4

-6   - 6

b=-2

(p.s i know this is very late but hope it helps someone)

Answer:

The loan will be paid after 39 monthly installments.

Step-by-step explanation:

Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:

13900 - 13500 = 400

400 x 5 = 2000

2000 + 13500 = 15500

15500/400 = 38.75

Thus, the loan will be paid after 39 monthly installments.

Answer:

%312.50

Step-by-step explanation:

Answer:

312.50%

(Please tell me if I'm wrong)

Answer:

36 miles

Step-by-step explanation:

The area of a rectangle = Length × Width

One dimension = 6 miles

Area = 216 square miles

Hence, the other dimension = 216 square miles/6 miles

= 36 miles

The unknown dimensions is 36 miles

Answer:

the ratio used was 1:19

Step-by-step explanation:

let a be the action figure version

let r be the real iron man

let's list out the important things.

a = 4''

r = 6'4''

one foot has 12 inches

convert r into inches:

6 × 12 = 72           (6 feet in r)

       r = 76''          (72 + 4)

r = 76''

a = 4''

ratio is 4:76

simplify

4:76

2:38

1:19

the ratio they used is 1:19

good luck,

-cheesetoasty

Answer:

Each side is 25 square centimeters

Step-by-step explanation:

100 divided by 4 is 25

Answer:

Um what’s this language?

Step-by-step explanation:

The missing step in the given proof is ∠DEB ≅ ∠ACE

From the two triangles named ΔABC and ΔDBE, we can see that in both triangles, the angles ∠ABC and ∠DBE are equal.

Now, we are told that if two parallel lines are cut by a transversal that the corresponding angles formed are congruent. Thus, we can say that ∠DEB and ∠ACE are equal.

Thus, the missing step in the given proof is ∠DEB ≅ ∠ACE.

Read more about Similar Triangles at; https://brainly.com/question/8691470

#SPJ1

What are the options???

Answer:1

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(glazed donut)

=

glazed donuts

total

=

3

2+2+5+3

=

3

12

=

1

4

The experimental probability is

1

4

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

4

=

n

20

1

4

(420)

=

n

20

(420) Multiply both sides by (420)

120

= 4n Simplify

20

= 4n Simplify

5

= n Divide both sides by 4

You would expect 5 out of the next 20 donuts Brenna eats to be glazed donuts.

Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

25/30 = 48/x

25x = 30 * 48

25x = 1440

x = 57.6

Answer:

Starts at 13122, and divides by 3

Step-by-step explanation:

4374 x 3 = 13122

Answer:

2.25

Step-by-step explanation:

Answer:

2 and x=-2

Step-by-step explanation:

Answer:

the GCF is 3x^3

Step-by-step explanation:

Identifying the greatest common factor of an expression like this one involves finding the GCF of each term  when the terms are placed side by side:  the GCF of -15x^3 and 6x^4 is 3x^3, because 3 and x^3 are the largest factors of their type (constant, power of x) that will divide evenly into -15x^3 and 6x^4.

The end result is 3x^3(-5, 2x).  Once again, the GCF is 3x^3.

Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?

A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.

I hope this helped!

~flipohrama

Answer:

Step-by-step explanation:

H

Answer:

74.5

Step-by-step explanation:

Answer: The answer is 74.5

Step-by-step explanation:

Hope this helped! :)

Answer:

6

Step-by-step explanation:

105 is a composite number (not prime).  If you decompose 105 into its prime factors (see attached image), you get 105 = 3 x 5 x 7.  This means that the product 105 can only be written this way; any other way, for example 15 x 7 would not use numbers that are single digits.

The question boils down to how many ways the digits 3, 5, 7 can be arranged, using each digit exactly once.

That's a permutation problem, and it can be answered easily by thinking this way:  given the digits 3, 5, 7, there are 3 choices for the first digit, then 2 for the second digit (for EACH of the first choices), then only 1 choice for the final digit.

3 x 2 x 1 = 6 ways that 3, 5, 7 can be arranged to make a 3-digit number.  Here they are:

357, 375, 537, 573, 735, 753

Answer:

Parallel:

y=3x-7       y=-4x-1         y=1/3x +9     -9x+12y=24       y=x-3

y=3x+1       8x+2y=14     x-3y =3         y=3/4x -5          x-y=8

Perpendicular:

y=-2/5x +3       y=-1/4x        2x+7y=28      y=-5x+1        x+y=7     5x-10y=-20

y=2/5x +8        y=4x-5         7x-2y=4        x-5y=30         x-y=9     y=-2x+6

10x+8y=16

5y=4x-15

Neither:

3x+2y=8        4x+9=18        y=5/3x +7

2x+3y=-12      y=4x+9         6x-10y=10

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

8x+10=90

8x=80

x=10

180-90-(3x+4)=90-34=56

56×2=112

Answer: 61.58

Step-by-step explanation:

C = 2 π r = 2 · π · 9.8

π = pi

radius times pi (3.14) times 2 (because two radius makes the diameter)

9.8 times 3.14 times 2 = 61.57522in

Now we round.. 61.58

:) I hope this helps!  

Answer:

x = 4

Step-by-step explanation:

1. Write the equation

3/4x = 2x - 5

2. Get the variables on the same side

Let's subtract 2x! Now, since math is a veryyy jealous subject, you're going to do it on the other side too!

-1.25x = -5

3. Divide both sides by -1.25

x = 4

Thank you for the points!!!

Answer:

B: 76

Step-by-step explanation:

I have to put an explanation.I don't have an explanation.

Answer:

a) (4x® - 5x + 15) - (11 - 7x - 2x)

b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

Step-by-step explanation:

a) (4x® - 5x + 15) - (11 - 7x - 2x)

b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

Answer:

image pls see <3

Step-by-step explanation: