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mojhsa [17]
3 years ago
9

Plz I need some help with 11-12 . My teacher didn’t even explain it correctly so now I’m confused.

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

Step 1: Transpose everything to one side

12. x²+16x+15-10x+4=0

Step 2: Add the like terms

x² + (16x - 10x) + 15 + 4=0

x² + 6x + 19=0

Step 3: Use the quadratic formula to get the value(s) of x.

a=1 b=6 c=19

x =  \frac{ - b +  -  \sqrt{b {}^{2} - 4ac }  {}^{} }{2a}

therefore, x=... or x

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Which is the best approximation for the solution of the system of equations?
SpyIntel [72]

Answer:

(0.88, 0,65)

Step-by-step explanation:

what do we have to do ? I assume we need to find the crossing point between the 2 lines.

when looking at the graphic, we can already rule out the first, third and fourth option.

none of the coordinates of that point is larger than 1 in any direction or smaller than 0.5.

so, just by looking at things I immediately "bet" on answer option 2 (0.88, 0.65).

but let's check.

y = -2x/5 + 1

y = 3x - 2

for the crossing point both functions must produce the same functional value.

=>

-2x/5 + 1 = 3x - 2

-2x/5 + 5/5 = 15x/5 - 10/5

-2x + 5 = 15x - 10

15 = 17x

x = 15/17 = 0.88...

y = 3×0.88... -2 = 0.65...

hurray, our original observation and "suspicion" is confirmed.

5 0
3 years ago
Both before and after a recent earthquake, surveys were conducted asking voters which of the three candidates they planned on vo
andre [41]

Answer:

0.05547

Step-by-step explanation:

Given :

_____Peter __ Alan __ Sui__total

Before 1838 __ 418 ___1475 _3731

After _ 1420 __ 329 ___1140_2889

Total _3258 __ 747 __ 2615 _6620

The expected frequency = (Row total * column total) / N

N = grand total = 6620

Using calculator :

Expected values are :

1836.19 __ 421.006 __ 1473.8

1421.81 ___325.994__ 1141.2

χ² = Σ(Observed - Expected)² / Expected

χ² = (0.00177817 + 0.0214571 + 0.000974852 + 0.00229642 + 0.0277108 + 0.00125897)

χ² = 0.05547

3 0
3 years ago
An object accelerates from rest at 10m/s2 for 20s. Calculate the velocity reached. ​
Nata [24]

Answer:

400 m/s

Step-by-step explanation:

u=0 m/s

t=20 s

a=20 m/s²

v=u+at

=0+20×20

=400 m/s

7 0
3 years ago
Find these coordinates
ohaa [14]

Answer:

A: (-2, 0)

B: (-1, 0)

C: (-1/4, 0)

D: (1/4, 0)

E: (1/2, 0)

F: (1  1/2, 0)

G: (2, 0)

H: (2 3/4, 0)

I: (3 1/2, 0)

Step-by-step explanation:

<em>From the graph we can see that every 4th line from </em><em>0</em><em> is a </em><em>whole unit</em><em>. </em>

<em>I put a </em><em>0</em><em> in place of the </em><em>y value</em><em> for every coordinate because the points don't move neither up nor down.</em>

4 0
3 years ago
Find the sum or difference 1/4(q-12)+1/3(q+9)
omeli [17]
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3 0
3 years ago
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