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3 years ago

The equation of the blue line is y = –x + 5.

Mathematics

2 answers:

pishuonlain [190]3 years ago

7 0

Answer:

The lines intersect at a different point than before the changes.

Step-by-step explanation:

EastWind [94]3 years ago

3 0

The lines intersect at a different point than before the changes.

Because the orange line will keep the same slope, the orange line will always cross the blue line, but the point where it intersects will change depending on the new value of the y-intercept.

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factory A produces 4.6 * 10^8 bolts a year and factory B produces 6.3 * 10^8 bolts a year. what is the total number of bolts pro

VLD [36.1K]

Answer:

Step-by-step explanation:

total bolts

$=4.6*10^8+6.3*10^8\\=(4.6+6.3)*10^8\\=10.9*10^8$

4 0

2 years ago

Solve for x.<br> 6(x - 1) = 9(x + 2)<br> x = -8<br> X = -3<br> X = 3<br> x = 8

Wewaii [24]

Answer:

$x=-8$

Step-by-step explanation:

$6\left(x-1\right)=9\left(x+2\right)\\\mathrm{Expand\:}6\left(x-1\right):\quad 6x-6\\6\left(x-1\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=6,\:b=x,\:c=1\\=6x-6\cdot \:1\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\9\left(x+2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=9,\:b=x,\:c=2\\=9x+9\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:9\cdot \:2=18\\=9x+18\\6x-6=9x+18\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}$

$6x-6+6=9x+18+6\\Simplify\\6x=9x+24\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\6x-9x=9x+24-9x\\Simplify\\-3x=24\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{24}{-3}\\Simplify\\\frac{-3x}{-3}=\frac{24}{-3}\\\mathrm{Simplify\:}\frac{-3x}{-3}:\quad x\\\frac{-3x}{-3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{3x}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1\\=x\\\mathrm{Simplify\:}\frac{24}{-3}:\quad -8\\\frac{24}{-3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\\$

4 0

3 years ago

Read 2 more answers

Explain why any number that is divisible by 9 is also divisible by 3.

slamgirl [31]

Since 3 x 3 = 9, 9 is divisible by 3. So, 3 would be a factor of any number divisible by 9

6 0

3 years ago

Find the solution to the equation 4r + 2(r - 8) = 4(3 + r).

o-na [289]

Answer:

r = 14

Step-by-step explanation:

Use distributive property:

4r + 2r - 16 = 12 + 4r

Combine like terms:

6r - 16 = 12 + 4r

Isolate the variable:

6r = 28 + 4r

2r = 28

r = 14

3 0

3 years ago

Read 2 more answers

Serena does 10 minutes of endurance exercises. she plans on doing it for s minutes of doing strength exercises. complete the two

worty [1.4K]

The equation that represents the time spent on the exercise by Serena will be t = 10 + s

<h3>How to compute the equation? </h3>

From the information given, it was stated that Serena does 10 minutes of endurance exercises. and that she plans on doing s minutes of strength exercises.

Therefore, the equation that represents the time spent on the exercise will be t = 10 + s

Learn more about equations on:

brainly.com/question/2972832

3 0

2 years ago