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4 years ago

The basic unit of weight in the metric system equal to 0.35 ounces is called what

1 answer:

6 0

We know that
<span>The basic unit of weight in the metric system is the gram
</span>1 ounce is equal to 28.3495 grams
by using proportion
$\frac{ 1 oz}{28.3495 gr} = \frac{0.35 oz}{x gr} \\ x=28.3495*0.35 \\ x=9.92 gr$

the answer is
$9.92 grams$

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What number must be added to the expression below to complete the<br> square?<br> x² - 18x

kiruha [24]

Answer:

$\boxed {\boxed {\sf 81}}$

Step-by-step explanation:

The standard form of a quadratic is:

$ax^2+bx+c$

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.

The expression given:

$x^2-18x$

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

$(\frac{b}{2})^2$

The b in the expression is -18.

$(\frac{-18}{2})^2$

$(-9)^2= -9*-9= 81$

This is the number that is added.

5 0

3 years ago

Please help with 32 and 33, thank you.

PtichkaEL [24]

Answer:

32. ∛((x-7)/4) = f^(-1)(x)

33. -10x - 9

Step-by-step explanation:

32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.

x = 4f(x)³ + 7

subtract 7 from both sides

x -7 = 4f(x)³

divide both sides by 4

(x-7)/4 = f(x)³

cube root both sides

∛((x-7)/4) = f(x)

make f(x) f^(-1)(x) because this is now the inverse

∛((x-7)/4) = f^(-1)(x)

the second answer is correct

33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in

2(-5x-7) + 5

expand

-10x - 14 + 5

add

-10x - 9

the second answer is correct

4 0

3 years ago

I literally need help.

Paha777 [63]

Answer:

$4P+2G=96\\3P+1G=60 or 3P+G=60$

Step-by-step explanation:

Given in the question:

a) A family paid $96 for 4 pool passes and 2 gym memberships.

b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her . She paid $60.

Let's write the system of equation for each purchase that happened in the scenario.

Let,

P= Price of each pool passes

G= Price of each gym membership

We get,

a) A family paid $96 for 4 pool passes and 2 gym memberships:

$4P+2G=96$

b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her . She paid $60:

$3P+1G=60$

Therefore, the equations generated in the scenario were:

$4P+2G=96\\3P+1G=60 or 3P+G=60$

Where,

P=Price of each pool passes

G=Price of each gym membership

PLEASE MARK ME AS BRAINLIEST

5 0

3 years ago

What is a external factor

LenaWriter [7]

Answer:

External factors that affect an organization may be political, economic, social or technological. The same internal factors that lead to an organization's success inevitably characterize that organization's relationship to the external environment in these broad areas.

Step-by-step explanation:

4 0

3 years ago

Please help !!! I have no idea what I’m doing and can’t find anyone to teach me this

rewona [7]

Answer:

The required equation in factored form is: $\mathbf{y=-4(x+2)(x-1)}$

Step-by-step explanation:

In this question we need to find the equation of the graph in factored form.

The factored form will be: $f(x)=a(x-r_1)(x-r_2)..$

where a is y-intercept and r₁, r₂ are x-intercepts

X-intercepts

When y=0, the values of x axis are known as x-intercepts

Y-intercepts

When x=0, the values of y-axis are known as y-intercepts.

Looking at the graph finding x-intercepts

When y=0 x=-2 and 1

So, we have

r₁ = -2

r₂ = 1

Looking at the graph finding y-intercepts

When x=0, y=-4

So, a = -4

Putting values in the formula we will get:

$f(x)=a(x-r_1)(x-r_2)\\f(x)=-4(x-(-2))(x-1)\\f(x)=-4(x+2)(x-1)$

So, the required equation in factored form is: $\mathbf{y=-4(x+2)(x-1)}$

3 0

3 years ago