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stira [4]
3 years ago
13

Work out 5/9 x 8/11

Mathematics
1 answer:
maksim [4K]3 years ago
5 0

Answer:

40/99

Step-by-step explanation:

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Find the zeros of the function f(x) = x2 + 5x + 6. A) y = 6 because the graph crosses the y-axis at 6. B) y = -0.25 because that
Fofino [41]

Answer:

D.)

Step-by-step explanation:

The zero's are referencing when y=0, note that when y=0 they are talking about the x-intercepts.  You can graph the function and see when the graph crosses the x-axis or solve for the x-values.  I will solve it via factoring and so:

f(x)=x^2+5x+6

Multiply the outer coefficients, in this case 1 and 6, and 1×6=6.  Now let's think about all the factors of 6 we have: 6×1 and 2×3.  Now is there a way that if we use any of these factors and add/subtract them they will return the middle term 5?  Actually we can say 6-1=5 and 2+3=5.  Let's try both.

First let's use 6 and -1 and so:

x^2+5x+6\\\\x^2+6x-x+6\\\\x(x+6)-1(x-6)

Notice how we have (x+6) and (x-6), these factors do not match so this is incorrect.

Now let's try 2 and 3 and so:

x^2+5x+6\\\\x^2+3x+2x+6\\\\x(x+3)+2(x+3)\\\\(x+2)(x+3)

Notice how the factors (x+3) matched up so this is a factor and so is (x+2), now to solve for the zero's let's make f(x)=0 and solve each factor separately:

Case 1:

f(x)=x+2\\\\0=x+2\\\\x=-2

Case 2:

f(x)=x+3\\\\0=x+3\\\\x=-3

So your zero's are when x=-2 and x=-3.

D.) x=-3 and x=-2 because the graph crosses the x-axis at -3 and -2.


~~~Brainliest Appreciated~~~

8 0
3 years ago
Which situation represents 25 x + 500 ≥ 50 x + 250?
inessss [21]

Answer:

move 50x on to the other side then move 500 to the other side too so that it reads 25x-50x *sign*250-500

Step-by-step explanation:

-25x*sign*-250 divide both sides by 25so answer x*sign*100

4 0
3 years ago
The diameter of a circle is 4 yards. whats the circle's area?
White raven [17]

Answer:

4π

Step-by-step explanation:

the radius is 4/2=2 yards

circle's area is π*2^2=4π

8 0
3 years ago
Can someone help me with this please? Thanks :)
OLga [1]

Answer:

I just did this question I got confused for a second maybe you have a classmate or someone on here lol! x = 6 measure EJF: 64 HOPE THAT HELPS!

7 0
2 years ago
Adrian is training for a 5K race. She ran 5.5 miles the first week, 7.25 miles the second week and 10 miles the third week. On t
Scorpion4ik [409]

\text{We need to find the average amount of miles she ran per week}\\\\\text{We know that she ran 5.5 miles the first week, 7.25 miles the second}\\\text{week, and 10 miles the third week}\\\\\text{To find the average, add all of the miles and divide by 3}\\\\5.5+7.25+10=22.75\\\\22.75\div3=7.5833333333\\\\\text{Round to the nearest hundredths place}\\\\\boxed{\text{7.58 miles}}

6 0
3 years ago
Read 2 more answers
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