[tex]5y( y + 3) - 2(y - 2) = 20[/tex]
​

Answer:

(x + 4)(x + 3)

Step-by-step explanation:

x^2 + 7x + 12

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.

so we need two number that gives 12 when multiplied and 7 when added

4 and 3 are the numbers because 4*3 = 12 and 4+3 = 12

=x^2 + (4 + 3)x + 12

=x^2 + 4x + 3x + 12

=x(x + 4) + 3(x + 4)

take (x + 4) as common

=(x + 4) (x*1 + 3*1)

=(x + 4)(x + 3)

Answer:

compound interest in year 2 is 12.75% than compound interest in year 1. This is because semi annual compounding yield a higher compound interest

Step-by-step explanation:

compound interest = future value - present value

The formula for calculating future value:

FV = P (1 + r/m)^nm

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding  

compound value in the first year = 80,000(1.1)^1 = 88,000

compound interest = 88,000 - 80,000 = 8,000

compound interest in the second year = 88,000(1 + 0.01/2)^2 = 97,020

compound interest = 97,020 - 88,000 = 9020

Percentage change = (9020 / 8,000) - 1 = 12.75%

Answer:

4762 N/m^2

Step-by-step explanation:

Find area.

30x5.6=168

Convert to m^2

168cm^2=0.0168m^2

Use pressure formula to get answer

P=F/A

P=80/0.0168

P=4762 N/m^2

Answer:

y = x + 6

x is any real number greater than or equal to 0,

and y is any real number greater than or equal to 6.

The formula to determine the value of y, or the total amount of flour that Otto used in the recipe, is y=6x.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The correct equation is y = 6 + x, where y is the total amount of flour and x is the amount of white flour used.

The constraints on the values of x and y are x ≥ 0 (because you cannot use negative flour) and y ≥ 6 (because the minimum amount of flour used is 6 cups, and that is when x = 0).

Any real number more than or equal to 0 and any real number higher than or equal to 6 are the restrictions on the values of x and y, respectively.

So the correct answer is: y = x + 6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ7

Answer:

D = [tex]\sqrt{\frac{216W}{35L} }[/tex]

Step-by-step explanation:

From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;

W [tex]\alpha[/tex] L[tex]D^{2}[/tex]

W = kL[tex]D^{2}[/tex]

where k is the constant of proportionality.

When W = 140, D = 4 and L = 54, then;

140 = k(54)[tex](4)^{2}[/tex]

      = 864k

k = [tex]\frac{140}{864}[/tex]

  = [tex]\frac{35}{216}[/tex]

k = [tex]\frac{35}{216}[/tex]

⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]

So that;

35L[tex]D^{2}[/tex] = 216W

[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]

D = [tex]\sqrt{\frac{216W}{35L} }[/tex]

Answer:

Following are the response to the given question:

Step-by-step explanation:

Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.

Answer:

let the ages of the brothers be 2x and 3x

2x +3x=35

5x=35

x=35÷5

x=7

now,

A=2x=2×7=14

B=3x=3×7=21

this is the answer

Answer:

2nd option

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex](\sqrt[n]{a}) ^{m}[/tex] , then

[tex]\sqrt{10} ^{\frac{3x}{4} }[/tex]

= [tex](\sqrt[4]{10}) ^{3x}[/tex]

Step-by-step explanation:

sorry can't help u because I can't see any picture

Step-by-step explanation:

Recall the identity

[tex]\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}[/tex]

We can see that

[tex]\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A[/tex]

Answer:

the third graph is the answer

Answer:

It's A.

Step-by-step explanation:

Since 175-87 is 88, there is 88 or less available tickets left. So it is A.

Hope this helps.

hope this helps. Please mark me brainliest

Answer:

3.27

16 is what percent of 489? = 3.27.

Answer:

640 feet.

Step-by-step explanation:

Let d represent the distance required to stop and let s represent the speed of the car.

The distance required to stop varies directly as the square of its speed. In other words:

[tex]d=ks^2[/tex]

Where k is the constant of variation.

250 feet are required to stop a car traveling 60 miles per hour. Substitute:

[tex](250)=k(60)^2[/tex]

Simplify and solve for k:

[tex]\displaystyle 3600k=250\Rightarrow k=\frac{250}{3600}=\frac{25}{360}=\frac{5}{72}[/tex]

So, our equation is:

[tex]\displaystyle d=\frac{5}{72}s^2[/tex]

Then the distance required to stop a car traveling 96 miles per hour will be:

[tex]\displaystyle d=\frac{5}{72}(96)^2=\frac{5}{72}(9216)=640\text{ feet}[/tex]

B. 525 square units

S= 27+14+9×14+3×7

S= 525

[tex]{{hope it helps}}}[/tex]

Answer:

Option B 525 Square units

Step-by-step explanation:

7x3=21

27x14=378

14x9=126

21+378+126=525

Answer:

Step-by-step explanation:

That exterior angle is equal to the sum of the remote interiors, specifically:

2x + 3 = 45 + x + 8 and

x = 50

So the angles inside the triangle...we already know one of them is 45. If x = 50, then x + 8 is 50 + 8 = 58. That means that the third angle is 180 - 45 - 58 which is 77.

Answer:

[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297

Step-by-step explanation:

Answer:

36/121

Step-by-step explanation:

We have 5+6 = 11 marbles

P(red) = number of red/ total = 6/11

We replace the marble so we still have 11 marbles

P(red) = number of red/ total = 6/11

P(red, red) = 6/11*6/11 = 36/121

Answer:

[tex]{ \bf{a).}} \\ { \tt{( \sqrt{6} + \sqrt{3} )( \sqrt{6} - \sqrt{3}) }} \\ { \tt{ = ( { \sqrt{6} )}^{2} - {( \sqrt{3}) }^{2} }} \\ { \tt{ = 6 - 3}} \\ { \tt{ = 3}} \\ \\ { \bf{b).}} \\ { \tt{( \sqrt{5} - \sqrt{2})( \sqrt{2} + \sqrt{5} )}} \\ { \tt{ = ( { \sqrt{5} }^{2}) - { (\sqrt{2} }^{2}) }} \\ { \tt{ = 5 - 2}} \\ { \tt{ = 3}}[/tex]

Answer:

(6-3)(5-2)=3×3=9

Step-by-step explanation:

[tex]x ^{2} - {y}^{2} = (x - y)(x + y)[/tex]

[tex]( \sqrt{6} - \sqrt{3} )( \sqrt{6} + \sqrt{3} ) = ( { \sqrt{6} }^{2} - { \sqrt{3} }^{2} ) = 6 - 3 = 3[/tex]

Answer:

∠ BCD = 111°

Step-by-step explanation:

Since AB = BC then the triangle is isosceles and the 2 base angles are congruent.

∠ ACB = ∠ A = 69°

∠ ACB and ∠ BCD are adjacent angles and sum to 180° , that is

∠ BCD + ∠ ACB = 180°

∠ BCD + 69° = 180° ( subtract 69° from both sides )

∠ BCD = 111°

Hope this helps

Answer:

£21

€28 = £21

Answer:

<K ≅ <N

Step-by-step explanation:

JKL ≅ MNP

That means the angles are the same

<J ≅< M

<K ≅ <N

<L ≅<P

The sides are also congruent

JK ≅ MN

KL ≅ NP

JL ≅ MP

Answer:On June 17

the explanation is in the picture

Step-by-step explanation:

The first president of the United States was

[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]

Answer:

x=9

y=12

Step-by-step explanation:

Answer:

50 crates

Step-by-step explanation:

First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D

10235

I just typed it in a calculator

the answer is in the above image

Answer:

Step-by-step explanation:

5* (2⁰ + 2¹ + 2 ²+ 2³+ ........+ 2¹⁰)

Sum of geometric series = [tex]a*\frac{r^{n}-1}{r-1}[/tex]

a -> first term = 1

r- ratio = 2

n --> number of terms = 11

5* (2⁰ + 2¹ + 2 ²+ 2³+ ........+ 2¹⁰)=

 [tex]5*[1*\frac{2^{11}-1}{2-1}]\\\\=5 *[1*(2048-1)]\\\\= 5 * 2047\\= 10235[/tex]

Answer:

A

Step-by-step explanation:

Total eggs in lay in one week = 48 * 7 = 336

total eggs sold = 336 - 12 = 324

Total dozen = 324 : 12 = 27

Total profit = 27 * 4 = $108

Profit without chicken feed = 108 - 9.75 = $98.25

Answer:

The axis of symmetry is (0,0)

Step-by-step explanation:

This is the picture