First 5 multiples of 48

Nonamiya [84]

16=m-14
16=m-14+14
14+16=m
30=m

8 0

4 years ago

Triangle A B C. Angle C is 80 degrees and angles B and A are y degrees. What is the value of y in the triangle? Angle y = °

Marrrta [24]

Answer:

50

Step-by-step explanation:

a triangle's sum of all angles is 180 degrees

so a+b+c=180

we know c=80

and a=b

so that'll be

2y+80=180

subtract 80 from each side

2y=100

divide by 2

y=50

4 0

3 years ago

Read 2 more answers

Given g(x)=sqrt x-4 and h(x)=2x-8 what is (g(h(10)) HELP ME I AM .3 POINTS AWAY FROM PASSING.

Whitepunk [10]

The answer (g(x))=x−7

g(f(x))=√x2−7

Explanation:

Put g inside f to find f(g(x))

f(x)=x2−4

g(x)=√x−3

f(g(x))=(√x−3)2−4

f(g(x))=x−3−4

f(g(x))=x−7

Put f inside g to find g(f(x))

g(x)=√x−3

f(x)=x2−4

g(f(x))=√x2−4−3

g(f(x))=√x2−7:

The answers are f(g(x))=x−7
and g(f(x))=√x2−7

Explanation:

This is a composition of functions.

f(x)=x2−4

g(x)=√x−3

fog(x)=f(g(x))=f(√x−3)=(√x−3)2−4

=x−3−4=x−7

And

gof(x)=g(f(x))=g(x2−4)=√(x2−4)−3

=√x2−4−3=√x2−7

You can see that

f(g(x))≠g(f(x))

7 0

4 years ago

Read 2 more answers

Pauline invested $10,000 at two different

Dahasolnce [82]

Answer:

So for this, I will be doing a system of equations. Let x = money invested at 4% and y = money invested at 6%. We know that x and y will total up to 10k since that's how much he initially invested, so that'll be one of our equations.

Our other equation will represent the total balance he has after investing. We know that x's interest is 4% (since the money is increasing, this would translate to 1.04 in decimal form) and y's interest is 6% (aka 1.06 in decimal form since its increasing) and that the total balance is 10470 (initial balance + interest income).

Step-by-step explanation:

Using all this info, these are our two equations:

X+Y=10000

1.04x+1.06=10470

Next, substitute x in the second equation for (10000 - y) and solve for y as such:

1.04(10000-y) +1.06y =10470

10400 - 1.04y + 1.60y = 10470

10400 + 0.02y = 10470

0.02y =70

y = 3500

Now that we have the value of y, substitute it into either equation to solve for x:

x + 3500 = 10000

x= 6500

1.04x + 1.06(3500)= 10470

1.04x = 6500

Answer

In short:

$6,500 was invested in the 4% rate

$3,500 was invested in the 6% rate

4 0

3 years ago

Which of the following options have the same value as 2%, percent of 90?

Liula [17]

Answer:

B) $0.02\times 90$

E) $\frac{2}{100} \times 90$

Step-by-step explanation:

Given expression:

2% of 90

Evaluating the expression:

$\frac{2}{100} \times 90$

⇒ $0.02\times 90$

⇒ $1.8$

Evaluating each choices given to check if the value matches with the value of given expression.

A) $0.2\times90$

⇒ $18$

B) $0.02\times 90$

⇒ $1.8$

C) $200\times 90$

⇒ $18000$

D) $2\times 90$

⇒ 180

E) $\frac{2}{100} \times 90$

⇒ $0.02\times 90$

⇒ $1.8$

∴ We see that the value of expressions in options B and E matches with the value of the given expression i.e. 1.8

4 0

3 years ago