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3 years ago

Algebra 1 help please!

Mathematics

1 answer:

Vsevolod [243]3 years ago

7 0

Answer:

$x=46$ and $y=45$

Step-by-step explanation:

To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is $x+y=91$ . For the next equation, it says that the difference of those same numbers is 1, which means that the equation is $x-y=1$ . Now, putting those two together for the system of equations, it's easiest to add them. The result will be $2x=92$ which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.

Hope this helped!

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One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept o

pickupchik [31]

Answer:

x-intercept(s): (−1.9900717, 0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in $0$ for $y$ and solve for $x$ . To find the y-intercept, substitute in $0$ for $x$ and solve for $y$ .

$f(x)=y$

$(x)=x$

<u>x-intercept</u>

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5$

$=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)$

$=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10$

$=0=10x^3-80x^2+170x-105\left(x-5\right)$

$=0=10x^3-80x^2+65x+525$

$=10x^3-80x^2+65x+525=0$

$=10x^2-99.90071\dots x+263.80959\dots \approx \:0$

$\bold{x\approx \:-1.99007\dots}$

<u>y-intercept</u>

$f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5$

$=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)$

$=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)$

$=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)$

$=y=0-0+0-\left(-52.5\right)$

$=0-0+0+52.5$

$\bold{y=52.5}$

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2 years ago

Please help me find the missing angle

alexgriva [62]

Answer:

Step-by-step explanation:

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3 years ago

Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observing

Kazeer [188]

Answer:

a. A = {RRR,LLL,SSS}

b. B = {RLS, RSL, LSR, LRS, SRL, SLR}

c. C = {RRS, RRL, RSR, RLR, LRR, SRR}

d. D = {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}

e. C U D= {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}

C n D = {RRS, RRL, RSR, RLR, LRR, SRR}

Step-by-step explanation:

a..

All three vehicles go in the same direction

This means that all the three vehicles either go straight, or right or left at the same time.

So, A { {RRR, LLL, SSS}

b..

All three vehicles take different directions

Thus means that all the vehicle take different routes

If a vehicle takes the the straight direction, the other 2 vehicles take right and left directions respectively

So, B = {RLS, RSL, LSR, LRS, SRL, SLR}

c..

Exactly two of the three vehicles turn right

This means that two vehicles take right direction while the last vehicle either tske the straight route or left route.

C = {RRS, RRL, RSR, RLR, LRR, SRR}

d..

Exactly two vehicles go in the same direction.

The means that if two vehicles pass straight direction then the third vehicle takes either the right or left direction.

Also, if two vehicles pass right direction, the third vehicle either takes the left direction or straight direction

Lastly, if two vehicles pass left direction then the third vehicle either pass the straight direction or right direction.

D = {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}

e. C U D = the union of items in C and D without repetition

So,

C U D= {RRS, RRL, RSR, RLR, LRR, SRR, SSR, SSL, SRS, SLS, LSS, RSS, LLS, LLR, LRL, LSL, SLL, RLL}

C n D = Common items in C and D

C n D = {RRS, RRL, RSR, RLR, LRR, SRR}

List outcomes in D'.D' = List outcomes in C ∪ D.C ∪ D = List outcomes in C ∩ D.C ∩ D =

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4 years ago

Jessie served 11 pints of orange juice at her party. How many quarts of orange juice did she serve

Savatey [412]

Answer:

5 and 1/2 quarts

Step-by-step explanation:

A quart is 2 pints

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3 years ago

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kkurt [141]

Answer:

-10

Step-by-step explanation:

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3 years ago

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