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tatyana61 [14]
3 years ago
9

Factor f(x)= 3x³+5x²-47x+15 into linear factors given that -5 is a zero of f(x)

Mathematics
1 answer:
AveGali [126]3 years ago
7 0
If  -5 is a zero then f(x) is divisible by (x + 5)

the quotient when F*x) is divided by x + 5  is  :-
3x^2 - 10x + 3
this factors to 
(3x  - 1)(x  -  3)

so the answer is (x + 5)(3x - 1)(x -  3)  
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Solve for a -4+2(3a-5)=(1-1a)
Kobotan [32]
Distribute the two to each of the values in the parentheses.
-4 +6a-10= 1-1a

Then move like terms to the same side to simplify.
6a+1a=1+10+4
7a=15
a=15/7
6 0
2 years ago
Please help me, will mark!!
BabaBlast [244]

Answer:

613 meters

Step-by-step explanation:

1)

cos(50 degrees)=324/x

x*cos(50 degrees)=324

x=324/cos(50 degrees)

x=around 504.1

2)

cos(35 degrees)=324/x

x*cos(35 degrees)=324

x=324/cos(35 degrees)

x=around 395.5

now lets find the distance in between the two people:

Distance from Shively to the tower

tan(50 degrees)=x/324

x=324*tan(50 degrees)

x= around 386.1

Distance from Sparzak to the tower

tan(35 degrees)=x/324

x=324*tan(35 degrees)

x=around 226.9

total distance=386.1+226.9=613 meters

8 0
3 years ago
A linear function is graphed below.
Evgen [1.6K]

Answer:

-1\frac{1}{2}

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

\frac{y^2-y^1}{x^2-x^1}}

To understand what the variables are, you can take this :

(x^1,y^1)

(x^2,y^2)

Substitute the points :

(-1,4)

(5,-5)

Now substitute it into the formula :

\frac{-5-4}{5-(-1)}

\frac{-3}{2}

-1\frac{1}{2}

4 0
3 years ago
Read 2 more answers
What measure of central tendency is most affected by outliers?.
Elden [556K]

Answer: Mean

Mean is the only measure of central tendency that is always affected by an outlier.

hope this helps!

have a nice day!

8 0
2 years ago
Write 9.68 x 104 in standard form?
-Dominant- [34]

Answer:

1006.72

Step-by-step explanation:

Multiply 9.68 by 104

7 0
3 years ago
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