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Arturiano [62]
3 years ago
14

100 POINTS HELP PLEASEEEE !!!HURRY!!!

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
6 0

                                           <em>Question # 1 Solution</em>

<em>Answer:</em>

(h-f)(-8)=-229

<em>Step-by-step Solution:</em>

Given

h(r)=-4r^{2}+4

f(r)=2r-7

As

(h-f)(r)=h(r)-f(r)

(h-f)(r)=-4r^{2}+4-(2r-7)

(h-f)(r)=-4r^{2}+4-2r+7)

We have to find (h-f)(-8)

So,

(h-f)(-8)=-4(-8)^{2}+4-2(-8)+7)

(h-f)(-8)=-4(64)+4+16+7

(h-f)(-8)=-4(64)+4+16+7

(h-f)(-8)=-256+4+16+7

(h-f)(-8)=-229

∴ (h-f)(-8)=-229

<em>                                              Question # 2 Solution</em>

Answer:

∴ (f.p)(9)=38979

Step-by-step Solution:

Given

f(s)=7s-2

p(s)=s^{3}-10s

As

(f.p)(s)=f(s).p(s)

(f.p)(s)=(7s-2)(s^{3}-10s)

(f.p)(s)=7s^4-2s^3-70s^2+20s

We have to find (f.p)(9)

So,

(f.p)(9)=7\left(9\right)^4-2\left(9\right)^3-70\left(9\right)^2+20\left(9\right)

(f.p)(9)=7\cdot \:9^4-2\cdot \:9^3-70\cdot \:9^2+20\cdot \:9

(f.p)(9)=9^4\cdot \:7-9^3\cdot \:2-9^2\cdot \:70+180

(f.p)(9)=45927-1458-5670+180

(f.p)(9)=38979

∴ (f.p)(9)=38979

<em>                                       Question # 3 Solution</em>

<em>Answer:</em>

(\frac{f}{p})(r)=\frac{11r+8}{r\left(r^2+6\right)}

<em>Step-by-step Solution:</em>

Given

p(r)=r^{3}+6r

f(r)=11r+8

We have to find (\frac{f}{p})(r)

Using the formula

(\frac{f}{p})(r)=\frac{f(r)}{p(r)}

As

p(r)=r^{3}+6r

f(r)=11r+8

So

(\frac{f}{p})(r)=\frac{11r+8}{r^{3}+6r}

(\frac{f}{p})(r)=\frac{11r+8}{r\left(r^2+6\right)}

∴ (\frac{f}{p})(r)=\frac{11r+8}{r\left(r^2+6\right)}

<em>                                      Question # 4 Solution</em>

<em>Answer:</em>

(h-p)(k)=5k^2-3-k^3-8k

<em>Step-by-step Solution:</em>

Given

h(k)=5k^{2}-3

p(k)=k^{3}+8k

We have to find (h-p)(k)

Using the formula

(h-p)(k)=h(k)-p(k)

As

h(k)=5k^{2}-3

p(k)=k^{3}+8k

So

(h-p)(k)=5k^{2}-3-(k^{3}+8k)

(h-p)(k)=5k^2-3-k^3-8k

∴ (h-p)(k)=5k^2-3-k^3-8k

<em>                                        Question # 5 Solution</em>

<em>Answer:</em>

(\frac{p}{g})(11)=\frac{1287}{155}

<em>Step-by-step Solution:</em>

Given

p(b)=b^{3}-4b

g(b)=b^{2}+4b-10

We have to find (\frac{p}{g})(11)

As

(\frac{p}{g})(b)=\frac{p(b)}{g(b)}

(\frac{p}{g})(b)=\frac{b^{3}-4b}{b^{2}+4b-10}

So

(\frac{p}{g})(11)=\frac{11^{3}-4(11)}{11^{2}+4(11)-10}

(\frac{p}{g})(11)=\frac{1287}{155}

∴ (\frac{p}{g})(11)=\frac{1287}{155}

<em>                                    Question # 6 Solution</em>

<em>Answer:</em>

(f+g)(x)=x^2+20x-18

<em>Step-by-step Solution:</em>

Given

g(x)=x^{2}+11x-7

f(x)=9x-11

We have to find (f+g)(x)

As

(f+g)(x)=f(x)+g(x)

(f+g)(x)=9x-11+(x^{2}+11x-7)

(f+g)(x)=9x-11+x^{2}+11x-7

(f+g)(x)=x^2+20x-18

∴ (f+g)(x)=x^2+20x-18

<em>                                   Question # 7 Solution</em>

<em>Answer:</em>

h(10)+g(10)=-983

<em>Step-by-step Solution:</em>

Given

h(w)=-11w^{2}-7

g(w)=w^{2}+3w-6

We have to find h(10)+g(10)

So,

h(10)=-11(10)^{2}-7

h(10)=-1107.....[1]

and

g(10)=10^{2}+3(10)-6

g(10)=124.....[2]

Adding Equation [1] and Equation [2]

h(10)+g(10)=-1107+124

h(10)+g(10)=-983

∴ h(10)+g(10)=-983

<em>                                    Question # 8 Solution</em>

<em>Answer:</em>

(f+g)(-3)=-6

<em>Step-by-step Solution:</em>

Given

g(b)=b^{2}+9b+10

f(b)=3b+11

We have to find (f+g)(-3)

As

(f+g)(b)=f(b)+g(b)

So

(f+g)(b)=3b+11+b^{2}+9b+10

(f+g)(-3)=3(-3)+11+(-3)^{2}+9(-3)+10

(f+g)(-3)=-6

∴ (f+g)(-3)=-6

<em>                               </em>

<em>                                    Question # 9 Solution</em>

<em>Answer:</em>

(f.h)(k)=33k^3+22k-12k^2-8

<em>Step-by-step Solution:</em>

Given

f(k)=-11k+4

h(k)=-3k^{2}-2

We have to find (f.h)(k)

As

(f.h)(k)=f(k).h(k)

So,

(f.h)(k)=(-11k+4).(-3k^{2}-2)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

∵ FOIL means (First, Outer, Inner, Last)

(f.h)(k)=\left(-11k\right)\left(-3k^2\right)+\left(-11k\right)\left(-2\right)+4\left(-3k^2\right)+4\left(-2\right)

(f.h)(k)=33k^3+22k-12k^2-8

∴ (f.h)(k)=33k^3+22k-12k^2-8

<em>                                  Question # 10 Solution</em>

<em>Answer:</em>

p(-8)-f(-8)=-581

<em>Step-by-step Solution:</em>

Given

p(s)=s^{3}+6s

f(s)=-2s+5

We have to find p(-8)-f(-8)

So,

p(-8)=(-8)^{3}+6(-8)

p(-8)=-560.....[1]

and

f(-8)=-2(-8)+5

f(-8)=21.....[2]

Subtracting Equation [2] from Equation [1]

p(-8)-f(-8)=-560-21

p(-8)-f(-8)=-581

∴ p(-8)-f(-8)=-581

<em>Keywords: function operation</em>

<em>Learn more about function operations from brainly.com/question/3725682</em>

<em>#learnwithBrainly</em>

Umnica [9.8K]3 years ago
6 0

Answer:

-2229

Step-by-step explanation:

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