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3 years ago

5

Why is the relationship between the u.s and foreign nations important?

1 answer:

Leni [432]3 years ago

3 0

Foreign relations are important because they are meant to prevent misunderstandings and future conflicts between nations. They strengthen the economy and the common goals between countries, becoming the root of great binding agreements. Foreign relations plays a key part in order to achieve peace one day.

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Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x

VLD [36.1K]

Answer:

Step-by-step explanation:

1_| 1 -2 -5 6

<u> 1 -1 -6</u>

1 -1 -6 0

Q(x)= x^2 - x - 6

R: 0

4 0

2 years ago

Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

tia_tia [17]

<h3><u>Explanation</u></h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

$y = - \frac{3}{4} x + b$

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

$3 = - \frac{3}{4} (4) + b \\$

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

$y - y_1 = m(x - x_1)$

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

$y - 3 = - \frac{3}{4} (x - 4)$

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3><u>Answer</u></h3>

<u> $\large \boxed {y = - \frac{3}{4} x + 6}$ </u>

6 0

3 years ago

Can someone explain what to do here I’m very confused?

Grace [21]

Start by distributing the - 1/3 which is the same as dividing the entire parentheses by 3 which results in (3x+10)

4 0

3 years ago

Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6

shtirl [24]

If Sandra mixes <em>x</em> L of 65% solution with <em>y</em> L of 90% solution, then the resulting mixture has a total volume of

<em>x</em> + <em>y</em> = 500

litres, and it contains

0.65<em>x</em> + 0.90<em>y</em> = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for <em>y</em> :

<em>y</em> = 500 - <em>x</em>

<em />

Substitute this into the second equation and solve for <em>x</em> :

0.65<em>x</em> + 0.90 (500 - <em>x</em>) = 375

0.65<em>x</em> + 450 - 0.90<em>x</em> = 375

75 = 0.25<em>x</em>

<em>x</em> = 300

Solve for <em>y</em> :

<em>y</em> = 500 - 300

<em>y</em> = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

8 0

3 years ago

'Nine less than the product of four and a number

maxonik [38]

Answer:

(4 x X)-9

Step-by-step explanation:

I think this is correct pls tell me if this is wrong

Hope this helps

7 0

2 years ago