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4 years ago

Help me please I don’t understand

Mathematics

2 answers:

ankoles [38]4 years ago

5 0

A² + b² = c²
8² + x² = 16²
x² = 16² - 8²
x² = 192
x =√192
x =8√3

gladu [14]4 years ago

4 0

16x16 + 8x8 = 320

*320 = 8*5

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Which of the following is true about the function y=4*3^x

Trava [24]

Answer:

option-c

Step-by-step explanation:

we are given

$y=4(3)^x$

we will verify each options

option-A:

we can see that exponent is over 3

and it is positive and greater than 1

so, this function is increasing

so, this is FALSE

option-C:

At x=1:

$y=4(3)^1$

$y=12$

At x=2:

$y=4(3)^2$

$y=36$

$\frac{y_2}{y_1} =\frac{36}{12}$

$\frac{y_2}{y_1} =3$

$y_2=3y_1$

So, it is getting tripled

so, this is TRUE

option-b:

we can plug x=0

$y=4(3)^0$

$y=4$

so, this is FALSE

option-d:

we can plug x=1

$y=4(3)^1$

$y=12$

so, this is FALSE

5 0

3 years ago

Find the x and y intercepts.

Roman55 [17]

-3/4x + 5/6 y = 15

Multiply through by 6

-9/2x + 5y = 90

Add 9/2x to both sides

5y = 90 + 9/2x

Divide both sides by 5

y = 18 + 9/10x

y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c

Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18

3 0

3 years ago

Solve the equation x^6+3x^5+x^4-5x^3-6x^2-2x=0 in the real number system

koban [17]

First, pull out a factor of $x$ .

$x^6+3x^5+x^4-5x^3-6x^2-2x=x(x^5+3x^4+x^3-5x^2-6x-2)$

Notice that when $x=-1$ (which you can arrive at via the rational root theorem), you have

$(-1)^5+3(-1)^4+(-1)^3-5(-1)^2-6(-1)-2=-1+3-1-5+6-2=0$

which means you can pull out a factor of $x+1$ . Upon dividing you get

$\dfrac{x^5+3x^4+x^3-5x^2-6x-2}{x+1}=x^4+2x^3-x^2-4x-2$

The rational root theorem will come in handy again, suggesting that $x=-1$ appears a second time as a root, which means

$\dfrac{x^4+2x^3-x^2-4x-2}{x+1}=x^3+x^2-2x-2$

Now this is more readily factored without having to resort to the rational root theorem. You have

$x^3+x^2-2x-2=x^2(x+1)-2(x+1)=(x^2-2)(x+1)$

so in fact, $x=-1$ shows up as a root for a third time.

So, you have

$x^6+3x^5+x^4-5x^3-6x^2-2x=x(x+1)^3(x^2-2)=0$

Two roots are obvious, $x=0$ and $x=-1$ (with multiplicity 3). The remaining two are given by

$x^2-2=0\implies x^2=2\implies x=\pm\sqrt2$

3 0

4 years ago

Help me please thank you

kramer

Answer:

50 cents per lollipop

Step-by-step explanation:

The full bag of lollipops costs 5.99 for 12 lollipops. You must use proportions.

5.99. _ X

———. ——

12. 1

Cross multiply to get 5.99 = 12x. Isolate the variable (x) by dividing by 12. 5.99/12 = 0.499166666666667

Because it is a price, round to the nearest hundredth and it costs about 50 cents per lollipop

3 0

3 years ago

Read 2 more answers

A mortgage is paid in ___ after signing a purchase agreement. One lump sum monthly installments two major payments, plus deposit

Galina-37 [17]

Answer:monthly installments. Answer b

Step-by-step explanation:

4 0

4 years ago