MATHEMATICS HIGH SCHOOL

Help me plz I don't get it !!!!!!!!

Answers

Answer 1

Answer: Answer: B.

It grows 3 inches per week

Answer 2

Answer:

Answer:

B. 3

Step-by-step explanation:

The constant of proportionality is 3 because every week, the tree grows 3 more inches at a constant rate. The increase amount doesn't change. It's constantly growing by 3 inches.

I hope this helps!

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Find the slope of the line through the pair of points. (6, 12) and (–6, –2)

Answers

slope of betewen points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1)

(6,12)
(-6,-2)
x1=6
y1=12
x2=-6
y2=-2

slope=(-2-12)/(-6-6)=-14/-12=7/6
slope=7/6

Solve using substitution

x = y +3
-3x + 3y = 6

Answers

$\large\bf{\underline{\underline{\mathfrak{Question}:}}}$

Solve using substitution

x = y +3,

-3x + 3y = 6

$\large\bf{\underline{\underline{\mathfrak{Solution}:}}}$

Giventhat,

${\small{\rm{x=y+3}}}$

Equation:

${\small{\rm{-3x + 3y = 6}}}$

So,

By substituting the value of xthat is y+3 in the given equation we get,

$:{\Longrightarrow{\small{\rm{-3(y+3) + 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{-3y-9+ 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{\cancel{-3y}-9\cancel{+3y} = 6}}}}$

$:{\Longrightarrow{\small{\rm{x = 6+9}}}}$

$:{\Longrightarrow{\small{\rm{x = 15}}}}$

${\therefore{\small{\rm{Value\:of\:x = 15}}}}$

Now to find the value of Y use the value of x in the givenequation.

$:{\Longrightarrow{\small{\rm{-3(15) + 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{-45+ 3y = 6}}}}$

$:{\Longrightarrow{\small{\rm{3y = 6+45}}}}$

$:{\Longrightarrow{\small{\rm{3y = 51}}}}$

$:{\Longrightarrow{\small{\rm{y =(51)/(3)}}}}$

$:{\Longrightarrow{\small{\rm{y =17}}}}$

${\therefore{\small{\rm{Value\:of\:y = 17}}}}$

Forverification:

$:{\Longrightarrow{\small{\rm{-3(15) + 3(17) = 6}}}}$

$:{\Longrightarrow{\small{\rm{6= 6}}}}$

Henceverified!

Algebra II. Radical expressions.: Multiply, and then simplify if possible. Show your work.

Answers

remember distributive property
a(b+c)=ab+ac
a(b-c)=ab-ac

also
law of exponents
$√(mn)$ = $√(n) √(m)$

and
(a-b)(a+b)=a^2-b^2 (for question 14)
and (a+b)^2=a^2+2ab+b^2 (for question 15)

11. $√(2x)(√(6x)-3√(x))$ = $\sqrt{12x^(2)}-3\sqrt{2x^(2)}$ = $2x√(3)-3x√(2)$

12. 108+(28∛21)

13. (-2√6)+(4√10)

14.√(2x-3)-49

15. 2x+(20√x)+50

16. (3∛2)-(6∛4)-16

17. 42x-6

A quarterly telephone bill consist of N$79.15 rental plus 4.7 cents for each dialled unit. Sales tax is added at 15%. What is the total bill for Mrs. Jones who used 915 dialled units?

Answers

Answer:

$140.48

Step-by-step explanation:

Let x represent dialed units.

We have been given that a quarterly telephone bill consist of $79.15 rental plus 4.7 cents for each dialed unit.

4.7 cents = $0.047

Cost of dialing x units would be $0.047x$ .

Total cost of dialing x units would be $0.047x+79.15$ .

Let us find cost of dialing 915 units by substituting $x=915$ in above expression.

$0.047(915)+79.15$

$43.005+79.15$

$122.155$

Now, we will find 15% of sales tax as:

$122.155* (15)/(100)$

$122.155* 0.15$

$18.32325$

Total bill: $18.32325+122.155=140.47825\approx 140.48$

Therefore, Mrs. Jonas's bill would be $140.48.

$4.7 × 915 = 4300.5
$4300.5 + 79.15 = 4379.65
15% of 4379.65 = 656.9475
4379.65 + 656.9745 = 5036.6245
Mrs. Jones' Bill was $5036.63
(Rounded to the nearest 1/10)

There is a number that if you multiply it by 4 first, and then subtract 10 from the result, you get 14. What's the number.

Answers

it's 6. 6 times 4 is 24, and 24 minus 10 is 14

PLS HELP SHOW ALL YOUR WORKING OUT :D

Answers

$AB=√((10-1)^2+(3-7)^2)=√(81+16)=√(97)\approx9.85$

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