Five times a number plus four times a second number is 20. Four times
the first number added by two times the second number is 16. Write the
system of equations for this situation. *

Answer:

a)6

b)v^2-u^2/2a

Step-by-step explanation:

a)Given that,

u=12

a= -6

s=9

We know that,

v^2=u^2+2as

or, v^2=(12)^2+2×(-6)×9

or,v^2=144-108

or,v^2=36

or, v=√36

∴v=6

         (Ans)

b)If ,v^2=u^2+2as

then, u^2+2as=v^2

or,2as=v^2-u^2

or, s=v^2-u^2/2a

∴s=v^2-u^2/2a

Hope ya find it helpful.. Thanks a lot...

Answer:

We want to rewrite:

sin^4(x)

in a way that only involves the first power of the cosine function.

We know that:

sin^2(x) = 1 - cos^2(x)

Then:

sin^4(x) = sin^2(x)*sin^2(x) = sin^2(x)*(1 - cos^2(x))

Now we know that:

cos(2x) = cos^2(x) - sin^2(x)

then

cos(2x) + sin^2(x) = cos^2(x)

We can replace that in our equation to get:

sin^2(x)*(1 - cos^2(x)) =  sin^2(x)*(1 - cos(2x) - sin^2(x) )

sin^2(x)*(1 - cos(2x) - sin^2(x) ) = sin^2(x) - sin^2(x)*cos(2x) - sin^4(x)

then:

sin^4(x) =  sin^2(x) - sin^2(x)*cos(2x) - sin^4(x)

sin^4(x) + sin^4(x) =   sin^2(x) - sin^2(x)*cos(2x)

2*sin^4(x) =  sin^2(x) - sin^2(x)*cos(2x)  = sin^2(x)*(1 - cos(2x))

sin^4(x) = sin^2(x)*(1 - cos(2x))/2

So we rewrite the equation in such a way that we only have the first power of the cosine function.

Answer:

(-2, -1, 0, 3,3)

Step-by-step explanation:

The domain simply refers to the possible x-values the function can take

so by listing out all the x-values of the individual points, we have all the domains

That will be ;

(-2, -1, 0, 3,3)

y intercept is where x=0 or the initial value

which is 60 because we gots

y=60(1)

y=60

y intercept is at y=60

8 years is x=8

y=82.114

round

y=82.11

answer:

y intercept is y=60

after 8 years, has $82.11

Answer:

The answer is "[tex]142,857 \times 6=857,142[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

Let:

[tex]a b c d e f \times 6 = d e f a b c[/tex]

[tex]\to (10^5 a+10^4 b+10^3c+10^2d+10e+f) \times 6 =10^5d+10^4e+10^3f+10^2a+10b+c \\\\\to ( 6 \times 10^5 a+ 6 \times 10^4 b+6 \times 10^3c+ 6 \times 10^2d+ 6 \times 10e+ 6 \times f) =10^5d+10^4e+10^3f+10^2a+10b+c \\\\\to 600,000a+60,000b+6,000c+600d+60e+6f=100,000d+10,000e+1,000f+100a+10b+c \\\\\to 599,900a+59,990b+5999c=99,400d+9,940e+994f\\\\[/tex]

[tex]\to 7(599,900a+59,990b+5999c)=7(99,400d+9,940e+994f)\\\\\to 85,700a+8,570b+857c=14,200d+1420e+142f\\\\\to 857(100a+10b+c)=142(100d+10e+f)\\\\\to \frac{(100a+10b+c)}{(100d+10e+f)}=\frac{142}{857}\\\\\to \frac{abc}{142}=\frac{de f}{857}\\[/tex]

therefore 142 and 857 are mutually exclusive, so, the only possible way is:

[tex]\to a=1; b=4; c=2; d=8; e=5; f=7 \\\\ \therefore \\\\ \to 142,857 \times 6=857,142[/tex]

Answer:

A. 17 m

Step-by-step explanation:

perpendicular (p) = 15 m

base (b) = 8 m

hypotenuse (h) = ?

We know that by using Pythagoras theorem

h = √p² + b²

= √ 15² + 8²

= √289

= 17 m

Hope it will help :)

Answer:

1.918

Step-by-step explanation:

1 then do 459/500 x 2 to make 918/1000 then add and convert

Answer:

1.6f + 0.4j - 13

Step-by-step explanation:

Answer:

1.6f+0.4j-13

Step-by-step explanation:

-1.3f + 0.4j - 12 - 1 + 2.9f

Combine like terms

-1.3f+2.9f     +0.4j    -12-1

1.6f+0.4j-13

Answer:

58.50

Step-by-step explanation:

Hope it helps and I hope you have a wonderful rest of your day!!!! :)

Answer:

Width of the house is [tex]X + 10[/tex]

Step-by-step explanation:

Given

The area of the house

[tex]X^2 + 30 X + 200[/tex]

On solving the above equation we get

[tex]X^2 + 20 X + 10 X + 200\\X (X +20) + 10 (X + 20)\\(X +10)(X +20)[/tex]

Width of the house is [tex]X + 10[/tex]

Answer:

Yes

Step-by-step explanation:

15% of 17500 is 2625 which you would subtract of off the original price. So it would be 14875, which is less than 15000.

Answer:

2 and 6 corresponding, 3 and 5 alt int angles, 1 and 7 alt ex angles

Step-by-step explanation:

Answer:

$36.38

Step-by-step explanation:

If the sales tax rate is 7% in New York, then how much sales tax would you pay in New York for a $34 pair of pants?

Given data

Tax= 7%

Cost = $34

Let us solve for the amount of tax

=7/100*34

=0.07*34

=2.38

Hence the total is =2.38+34

=$36.38

Answer:

192

Step-by-step explanation:

Answer:

The answer is number 3

Step-by-step explanation:

I hada this question on a quiz and i clicked this and it was rigt

Step-by-step explanation:

[tex]{ \huge {\underline {\underline {\mathtt {\red{♡Answer}}}}}}[/tex]

=> X - 2 = -8

=> X=(-6) - 2

=> -8

Answer:

x = -6

Step-by-step explanation:

x - 2 = -8

Add 2 to both sides to isolate the variable, x.

x - 2 + 2 = -8 + 2

-2+2 = 0

-8+2 = -6

Therefore,

x = -6

Check:

-6 -2 = -8

Hope this helps

Answer:

14/18

Step-by-step explanation:

Answer:

Infinitely many solutions.

Step-by-step explanation:

Multiply the second equation by -2, then add the equations together

(20x+2y=18)

−2(10x+y=9)  

20x+2y=18

−20x−2y=−18

Add these equations to eliminate x

0=0

Infinitely many solutions.

Answer:

4×3+3=15

so the answer must be 15

Answer:

The GCF of 40x and 25 is 5.

Step-by-step explanation:

5 goes into both 40 and 25.

Answer:

what is it

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Since ∠ A = ∠ B then the triangle is isosceles and AC = BC , that is

4x - 30 = 2x + 20 ( subtract 2x from both sides )

2x - 30 = 20 ( add 30 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

Step-by-step explanation:

x=11

hope it helps.

comment me if im correct then i will post step by step

and sorry, if im incorrect.

Answer:

8x^2+122x-481

Step-by-step explanation:

you need to multiply these together to simplify.

(4x-13)(2x+37)

8x^2+148x-26x-481

8x^2+122x-481

not sure if this is what you were asking or if it needed to be graphed or what but i hope this helps?

Answer: 14.1

Step-by-step explanation:

Answer:

question 2 is a

question 4 is a

I don't know number 3 sorry!

Step-by-step explanation:

Law of detachment. If a conditional is true and its hypothesis is true, then its conclusion is true. In symbolic form, if p → q is a true statement and p is true, then q is true.

not detachment

Law of Syllogism says that if the following two statements are true: (1) If p , then q . (2) If q , then r . Then we can derive a third true statement: (3) If p , then r .

so not Syllogism

law of contraposition says that a conditional statement is true if, and only if, its contrapositive is true

not contraposition either

hope this helps! <3

Answer:

31.72

Step-by-step explanation:

100-35=65

100%->48.80

65%->31.72

Answer:

A

Step-by-step explanation:

logarithmic= log

The only one with log in it is A

From the given set of equation Y = log3x is a logarithmic function.

" Logarithmic function is defined as the function which represents the inverse of the exponential function."

Exponential function expressed as

[tex]y = a^{x}[/tex]

According to the question,

Given functions ,

      So Y is equals to logarithmic function of 3x.

      [tex]Y = log_{10} 3x\\\\\implies3x = 10^{y}[/tex]

It's inverse is exponential function

It is a correct answer.

Can not be expressed in exponential form.

All these are not logarithmic function.

Hence, Y = log3x is  a logarithmic function.

Learn more about  logarithmic function here

https://brainly.com/question/3181916

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