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3 years ago

Evaluate. −7×(−6)×5= -7×(-6)×5= ______

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

Answer:

210

Step-by-step explanation:

double negatives = positive

-7 * -6 * 5 = 7 * 6 * 5 = 42* 5 = 210

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

3 0

3 years ago

a driver was fined $20.00 plus $4.00 for every mile per hour over the speed limit of 55 mph. is the fine was $76, how fast was t

Ksenya-84 [330]

20+4x=76 subtract 20 from both sides

4x=56 divide both sides by 4

x=14

So he was driving at 55+14=69 mph

3 0

3 years ago

Please help me do number 3 and number 4

Marina86 [1]

Hello :
let : A(0,3) B(4,8)
<span>the slope is : (YB - YA)/(XB -XA)
</span>(8-3)/(4-0) = 5/4
same method for 4

3 0

2 years ago

9) Three times a number added to 12 gives -6. Find the number.

KatRina [158]

Answer:

The number is -6.

Step-by-step explanation:

Variable x = a number

Set up an equation:

3x + 12 = -6

Isolate variable x:

3x = -18

x = -6

Check your work:

3(-6) + 12 = -6

-18 + 12 = -6

-6 = -6

Correct!

7 0

3 years ago

Read 2 more answers

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?

Zanzabum

Answer:

I think it is D.

Step-by-step explanation:

5 0

2 years ago