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zhannawk [14.2K]
3 years ago
7

Can some please do these for me

Mathematics
1 answer:
Contact [7]3 years ago
4 0
12.  \frac{r-3}{-4-(-8)} =  -5
\frac{r-3}{4} = -5
r - 3 = 4(-5)
r - 3 = -20
r = -20 + 3
r = -17

13.  \frac{r-2}{-2-5} = \frac{5}{6}
\frac{r-2}{-7} =  \frac{5}{6}
6(r - 2) = -7(5)
6r - 12 = -35
6r = -35 + 12
6r = - 23
r = \frac{-23}{6}
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A video game sets the points needed to reach the next level based on the function g(x) = 10(2)x − 1, where x is the current leve
Len [333]

Answer:

The correct option is C.

Step-by-step explanation:

The given functions are

g(x)=10(2)^{x-1}

h(x)=2x

It is given that the point needed for next level is defined by the function g(x) and hardest setting promises to multiply the points needed in each level according to the function h(x) .

The total points will a player need on the hardest setting of level 5 are

g(5)\times h(5)=10(2)^{5-1}\times 2(5)

g(5)\times h(5)=10(2)^4\times 10

g(5)\times h(5)=10(16)\times 10

g(5)\times h(5)=160\times 10

g(5)\times h(5)=1600

Therefore the total points will a player need on the hardest setting of level 5 are 1600 and option C is correct.

3 0
4 years ago
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Which math expression means "45 less than an unknown number"?
Allushta [10]

Answer:

D. x * 45

Step-by-step explanation:

this is unknown number, everyone can't answer if there is that mark (*)

6 0
3 years ago
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What is the graph of 3x + 5y = –15? Image for option 1 Image for option 2 Image for option 3 Image for option 4
Leokris [45]

The "intercept form" of the equation for a line is ...

... x/a + y/b = 1

where a and b are the x- and y-intercepts, respectively.

Dividing by -15 will put your equation into this form:

... 3x/-15 + 5y/-15 = 1

... x/(-5) + y/(-3) = 1

Your graph will go through the points (-5, 0) and (0, -3).

7 0
4 years ago
Based on your data, what is the experimental probability that the family has two dogs or two cats? (Heads= dogs and tails=cats)
natulia [17]

Answer:

none I'm pretty sure

Step-by-step explanation:

because the total is 50

7 0
3 years ago
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Lim x-->0 ((sqrt(ax+b) -2) / x) =1 show steps....
Andrew [12]
Lim x→0 (√(ax+b)-2)/x=1

You want to know the value of "a" and "b"

lim x→0  (√(ax+b)-2)/x=(√(0+b)-2)/0=(√b -2)/0;

Then if (√b -2)/0=1; the numerator must be "0"
(√b-2)=0
√b=2
(√b)²=2²
b=4

It is necessary the numerator must be "0", if the denominator is "0" and the result is equal a number.

Therefore:
lim     (√(ax+4)-2)/x=1
x⇒0

I imagine you know Taylor Series.
√(ax+4)=(4(1+ax/4))¹/²=2(1+ax/4)¹/²
Remember:
               (1/2)   
(1+x)ᵃ=<span>Σ ( a  ) x^a
</span>
In our case:
                   (1/2)             (1/2)              (1/2)
(1+ax/4)¹/²=(   0) (ax/4)⁰+(  1 ) (ax/4)¹+(   2) (ax/4)²+...
                =1 +(1/2) ax/4 + -1/8 (ax/4)²+...
                =1+ax/8-a²x²/128+...

Therefore:
lim     (√(ax+4)-2)/x=lim       [2(1+ax/8-a²x²/128+...)-2]/x=
x⇒0                          x⇒0 

lim       [(2+ax/4-a²x²/64+...)-2]/x=
x⇒0 

lim      (ax/4-a²x²/64+...)/x=
x⇒0

lim   x(a/4-a²x/64+...)/x=
x⇒0

lim    (a/4-a²x/64+...)=(a/4-0-0-0-...)=4/a
x⇒0

Because:

lim     (√(ax+4)-2)/x=1
x⇒0

Then:
4/a=1 ⇒  a=4

Answer: a=4; b=4
4 0
3 years ago
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