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Marianna [84]
4 years ago
11

Find the greatest common factor of 3y2 - 4y. Type an expression for the greatest common factor in the space provided. Type only

lowercase letters, and do not include spaces in your expression.
Mathematics
1 answer:
Sonbull [250]4 years ago
7 0

greatest common factor ..... what factor(s) do these two terms have in common?

3y² contains the following factors: 3 · y · y

-4y contains the following factors: -1 · 4 · y

Answer: y

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marissa [1.9K]

Answer:

Black Fur: 100%    White Fur: 0%

Step-by-step explanation:

    B     B

b  Bb  Bb              (all dominant)

b  Bb  Bb

Black Fur: 100%  White Fur: 0%

8 0
3 years ago
Read 2 more answers
find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope
Paraphin [41]

Slope-intercept form:

y = mx + b      "m" is the slope, "b" is the y-intercept


For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2



3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

y=-\frac{1}{2}x+b To find "b", plug in the point (-5 , 5) into the equation

5=-\frac{1}{2}(-5)+b

5=\frac{5}{2}+b     Subtract 5/2 on both sides

5-\frac{5}{2}=b   Make the denominators the same

\frac{10}{2}-\frac{5}{2}=b

\frac{5}{2}=b


y=-\frac{1}{2}x+\frac{5}{2}



4.) -6x + 5y = -10     Get "y" by itself, add 6x on both sides

5y = -10 + 6x          Divide 5 on both sides

y=-2+\frac{6}{5}x

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

y=-\frac{5}{6}x+b       Plug in (-2, 5)

5 = -\frac{5}{6}(-2)+b

5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b    Subtract 5/3 on both sides

5-\frac{5}{3} =b    Make the denominators the same

\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b


y = -\frac{5}{6}x+\frac{10}{3}



7.) Perpendicular line's slope is -2

y = -2x + b      Plug in (1,4)

4 = -2(1) + b

4 = -2 + b

6 = b


y = -2x + 6



8.) Perpendicular line's slope is -1/4

y = -\frac{1}{4}x+b     Plug in (-5 , 2)

2=-\frac{1}{4}(-5)+b

2 = \frac{5}{4}+b    Subtract 5/4 on both sides

2-\frac{5}{4}=b     Make the denominators the same

\frac{8}{4}-\frac{5}{4}=b

\frac{3}{4}=b


y=-\frac{1}{4}x+\frac{3}{4}

5 0
3 years ago
2. the student to faculty ratio at a small college is 17:3 the total of students and faculty is 740 how many faculty members are
balu736 [363]
<span>#2) 629 students and 111 faculty. #3) 1259 skiers and 2518 snowboarders.

Explanation<span>:
#1) Let S be the number of students and F be the number of faculty. S/F = 17/3.
We know that S+F = 740; subtracting F from both sides, we have S=740-F. We can use this to rewrite the proportion:
(740-F)/F=17/3.

Cross multiply:
3(740-F)=17(F).

Using the distributive property, we have
3*740-3*F=17F; 2220-3F=17F.

Add 3F to both sides:
2220-3F+3F=17F+3F
2220=20F.

Divide both sides by 20:
2220/20 = 20F/20
111=F.

There are 111 faculty members. Substitute that into our equation, S=740-F: S=740-111
S=629.

#2) Let x be the number of skiers. We know that there were 1259 more snowboarders with passes than skiers; that gives us x+1259.
The ratio of skiers to snowboarders is 1/2; this gives us the proportion x/(x+1259)=1/2.

Cross multiply:
2(x)=1(x+1259)
2x=x+1259.

Subtract x from both sides
2x-x=x+1259-x
x=1259.

There were 1259 skiers. This means there were 1259+1259=2518 snowboarders.</span></span>
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3 years ago
There are 26.2 miles in a marathor write the number of miles using a fraction
MAXImum [283]
26 and 2/10 is how to write the answer as a mixed number fraction.
7 0
3 years ago
Which situation does the graph illustrate?
iVinArrow [24]

Answer:

eju 48, 23w6yuw43wdgn

Step-by-step explanation:

6 0
3 years ago
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