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max2010maxim [7]
4 years ago
7

Which function has a greater y-intercept?

Mathematics
1 answer:
erica [24]4 years ago
8 0
To find the y-intercept of h(r), plug in 0 for r, and solve:

h(r) = -\frac{3}{2} r - 5

h(r) = -\frac{3}{2} × 0 - 5    <em>(plug in 0 for r and solve)</em>
= h(r) = -5

So the y-intercept for h(r)  is: -5
-------------------------------------------------------------------------------------------------------------

For p(r), the y-intercept is when x = 0.
From looking at the table, we see that when x=0,   p(r) = -5

So the y-intercept of p(r) = -5
-------------------------------------------------------------------------------------------------------------

ANSWER:

The y-intercept of h(r) and p(r) are both equal to -5, therefore the y-intercepts are the same.

So the answer would be:

c) The functions have the same y-intercept.

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Professor Anthony calculated a chi-square statistic of 16.22 with df=8. What is the critical value of chi-square in order to tes
Pavlova-9 [17]

Answer:  The P-Value is .039337. The result is not significant at p < .01.

Step-by-step explanation:

In the following Chi square table attached, the value is of df=8 and chi square statistic value of 16.22 is found to be between (15.507, X²₀.₀₅) and    ( 17.353, X²₀.₀₂₅).

Using the table for critical value calculation:-

Df=8 Critical value for 1%= 1.646, and we calculated our value of 17.353.

We can reject is on the basis of X²calculated > X²Critical.

The outcome doesn't falls to be in 1% of the distribution.

or

We can reject it on basis that the outcome between X²₀.₀₅ and X²₀.₀₂₅ whereas the required level of upper distribution is X²₀.₀₁

5 0
3 years ago
What angle does the tangent to the curve y(x)=sin^2 (x/4)+12sin(x/4) at x=4_ make with the x-axis?
cluponka [151]

y(x)=sin^2 (x/4)+12sin(x/4)

y(x) = sin^2(x/7) +16sin(x/7)

From the Chain Rule,

y'(x) = 2sin(x/4)*(1/4)cos(x/4) + 12(1/4)cos(x/4).

 

At x=4pi, the slope of the tangent line is

y'(4pi) = 2sin(4pi/4)*(1/4)cos(4pi/4) + 12(1/4)cos(4pi/4).

= 2sin(pi)*(1/4)cos(pi) + 12(1/4)cos(pi)

= 2(0)(1/4)(-1) + 12(1/4)(-1)

= -3

 

The angle (in radians) that the tangent line makes to the positive x-axis is

pi - arctan(3)= 1.249 rad =71.565 degree

8 0
3 years ago
The price of an item has been reduced by $8.35. The new sale price is $21.36. What was the original price. answer fast!
mel-nik [20]

Answer:

$29.71

Step-by-step explanation:

just add the reduced price to the amount you took away: 8.35+21.36=29.71

4 0
3 years ago
Read 2 more answers
Pls help me<br><br> what is 7/2 not simplified as a mixed number?
stiv31 [10]

Answer:

3 1/2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1​]
blagie [28]

\green{\large\underline{\sf{Solution-}}}

<u>Given expression is </u>

\rm :\longmapsto\:\dfrac{5 \times  {25}^{n + 1}  - 25 \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {25}^{n + 1} }

can be rewritten as

\rm \:  =  \: \dfrac{5 \times  { {(5}^{2} )}^{n + 1}  -  {5}^{2}  \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {( {5}^{2} )}^{n + 1} }

We know,

\purple{\rm :\longmapsto\:\boxed{\tt{  {( {x}^{m} )}^{n}  \: = \:   {x}^{mn}}}} \\

And

\purple{\rm :\longmapsto\:\boxed{\tt{ \:  \:   {x}^{m} \times  {x}^{n} =  {x}^{m + n} \: }}} \\

So, using this identity, we

\rm \:  =  \: \dfrac{5 \times  {5}^{2n + 2}  - {5}^{2n + 2} }{{5}^{2n + 3 + 1}  -  {5}^{2n + 2} }

\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1}  - {5}^{2n + 2} }{{5}^{2n + 4}  -  {5}^{2n + 2} }

can be further rewritten as

\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1}  - {5}^{2n + 2} }{{5}^{2n + 2 + 2}  -  {5}^{2n + 2} }

\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2}  - 1)}

\rm \:  =  \: \dfrac{4}{25 - 1}

\rm \:  =  \: \dfrac{4}{24}

\rm \:  =  \: \dfrac{1}{6}

<u>Hence, </u>

\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times  {25}^{n + 1}  - 25 \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {25}^{n + 1} }  =  \frac{1}{6} }}

3 0
3 years ago
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