Given that
[tex] log_{4}(y - 1) + log_{4}( \frac{x}{2} ) = z \: \: and \: log_{2}(y + 2) + log_{2}(x) = z - 1 \: show \: that \: {y}^{2} = 1 + {8}^{z} \: and \: find \: the \: values \: of \: y \: and \: x [/tex]
when z = 1

Answers

Answer 1

Answer:

Gracias por los puntos

Bye :v


Related Questions

what is 345.543 multyply by 46.34 devide by 666.89 ???? help faster 3 minutes remaining

Answers

Answer:

24.010

Step-by-step explanation:

hope it helps

I need help asap! Pls :)

Answers

Answer:

x = 18

Step-by-step explanation:

3 + 6 x (5 + 4) ÷ 3 -7?

Answers

Answer:

Answer: 14

Step-by-step explanation:

[tex]{ \rm{3 + 6 \times (5 + 4) \div 3 - 7}} \\ \\ = { \rm{3 + (6 \times 9) \div 3 - 7}} \\ \\ = { \rm{3 + (54 \div 3) - 7}} \\ \\ = { \rm{14 }}[/tex]

MODELING REAL LIFE A charm bracelet costs $65, plus $25 for each charm. The equation -25x+y=65 represents the cost y (in dollars) of the bracelet, where x is the number of charms.

a. Graph the equation.

b. How much does a bracelet with three charms cost?

Answers

Answer:

B = $140

Step-by-step explanation:

for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is [tex]\frac{25}{1}[/tex]

we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money

for part B, y=25x+65

so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140

A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 90 for homework, 95 for the quizzes, 85 for the midterm and 84 for the final exam. What will be the student’s class grade?
Class grade: ?

Answers

Answer:

86.55%

Step-by-step explanation:

Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:

90 × 0.20= 18

95 × 0.10= 9.5

85 × 0.25= 21.25

84 × 0.45= 37.8

Adding these numbers together, you could get 86.55, or 86.55%.

Line j has an equation of y = 1/5x + 7. Perpendicular to line j is line k, which passes through
the point (-1, -3). What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]

so then line K has a slope of -5 and pass through (-1, -3)

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8[/tex]

Which term of the AP 21, 18, 15 ...... is -81 ?​

Answers

Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

⇛24-3n = -81

⇛ 24+81 = 3n

⇛ 105= 3n

⇛ n = 105/3

⇛ n = 35

35th term of the AP is -81.

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Which term of the AP:3, 8, 13, 18,...,is 78?

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Write the equation of the line perpendicular to y = 8 - 5z that contains the point (0, 0) . Fill in the slope and y-intercept

Answers

The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.

8y=-5x+16

y=-5/8x+2.

To be perpendicular, the slope has to be 8/5.

What is the slope-intercept form of the line?

The slope-intercept form is y=mx+c

Where m is the slope and c is the y-intercept.

So y=8/5x+b.

We can plug in the given coordinates to get

7=8/5*-5+b

7=-8+b

b=15.

So eqn is y=8/5x+15 or in point-slope form, y=8/5x+15

5y=8x+75

5y-8x=75

The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.

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A jet travels 1198 miles against the wind in 2 hours and 1438 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the jet wind?

Rate of the jet still in the air: x mi/h
Rate of the wind: x mi/h

Answers

Answer: tbh jets arent really a good way to travel man. you better start walking ur lazy butt and get movin.

Step-by-step explanation:

Um yeah so ignore the blue circles. I need your helpp ty <3

Answers

Answer:

where is the diagram u there is must must graphic of this or diagram

Answer:

15, 6,0, 11, 7

I'm not sure but hope it helps

Step-by-step explanation:

y=8+7

=15

y=-1+7

=6

y=-7+7

=0

y=4+7

=11

y=0+7

=7

10 minus one third of a number is 4

Answers

Answer:

x = 18

Step-by-step explanation:

10 - x/3 = 4

=> - x/3 = -6

=> -x = -18

=> x = 18

Hoped this helped.

Answer: 18

Step-by-step explanation:

10 -1/3y = 4

1/3y = 10 - 4

1/3y = 6

y = 6 x 3 = 18

Find the complex zeros of
[tex] f(x) = {x}^{3 } - 13 {x}^{2} + 59x - 87[/tex]

Answers

[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]

[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]

A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. Complete the table. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. How much flour is needed for 15 tablespoons of honey? 17 tablespoons? Explain or show your reasoning. honey (tbsp) flour (c) 1 8 10 16 30 h

Answers

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can someone give me the answers please?

Answers

Answer:

6. slope= -4/5     Y-intercept is 3

7.

a.y=-2x

b.y=1x+1

c.5/2x-1

d.y=4x+3

e.y=-3/2x-5

Step-by-step explanation:

which erosional force acts alone to produce avalanches and landslides?

Answers

Answer:

Freeze thaw cycle

Step-by-step explanation:

The force which produce avalanches and landslides is gravity.

What is erosion?

The process by which the Earth's surface is worn down is called erosion. Erosion and weathering are two distinct but related processes. The decomposition of materials through chemical or physical processes is known as weathering. When weathered materials like soil and rock fragments are carried away by wind, water, or ice, erosion occurs.

The Earth's three substances—air, water, and ice—continue to flow in large quantities from one location to another, making erosion an essential component of human life. The energy in their flow is extremely high. All of the small and large substances in their path break and move in the flow's direction.

The most dramatic, unexpected, and hazardous examples of earth elements being pushed by gravity are landslides and avalanches. Avalanches are abrupt snowfalls, whereas landslides are sudden rockfalls.

Massive chunks of rock move swiftly and violently when they abruptly break free from a cliff or hillside. The falling rocks are kept from slowing down by air that is trapped beneath them. Avalanches and landslides can travel at speeds of 200 to 300 km/h.

Prevention's,

Be mindful of your surroundings and keep an eye out for changes in the environment.

When it rains heavily, keep an eye out for deck or patio tilting, cracks or bulges in slopes, and drooping posts or fences. As soil steadily presses against a house and shifts windows and doors out of place, sticking windows and doors can be an indication of earth movement.

Because landslides are more likely to occur where they have already happened, look for landslide scars.

Hence,  Earth materials are transported by gravity from higher elevations to lower heights. Examples of hazardous gravity-driven erosion include mudflows, avalanches, and landslides.

Learn more about erosion;

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Coffee is priced at 6.63

Answers

Answer:

ok, anddddd???

Step-by-step explanation:

America says that the point (0,0) on the graph below means that you use no sugar if you make 1 pie. Is America correct? ​

Answers

Answer:

America is correct

Step-by-step explanation:

it says 0,0 and then it would mean it wouldn't have any sugar in the pies

Answer:

No, America's wrong.

If you look on the graph, as the line increases you can see one pie needs around 3/4(not accurate). (0,0) is the origin point. No sugar is used, and no pie was made.

What is the number ten written in base 2?

Answers

10001 should be the answer if not i’m special

true or false

A political party is a group of people who seek to control government by winning elections and holding office

Answers

Answer:

True

Step-by-step explanation:

Eg. Republican party nominates a candidate to be considered by the people [hopefully voted] into office. If they win the election, they control a part of government in office.

What are the length and width of a rectangular traffic sign if the length exceeds the width by 4 inches and the perimeter is 152 inches?

Answers

Answer:

L = 40

w = 36

Step-by-step explanation:

P = 2*L + 2*w

L = w + 4

w = w

P = 152

P = 2*(w + 4) + 2*w             Remove the brackets

P = 2w + 8 + 2w                  Combine and switch sides Use P = 152

4w + 8 = P

4w + 8 = 152                        Subtract 8 from both sides.

4w = 152 - 8

4w = 144                               Divide by 4

4w/w = 144/4                  

w = 36

L = w + 4

L = 36 + 4

L = 40

at a community college a survey was taken to determine where students study on campus. Of the 270 students surveyed, it was determined that 177 studied in the library , 142 studied in the cafeteria, 82 studied in both the library and the cafeteria. Of those students surveyed, how many studied only in the library?

Answers

Answer:

177

Step-by-step explanation:

Although it says that 82 studied in both, the question is aksing for ONLY at the library. It says that of the 270 surveyed, 177 study at the library.

This means that 65.56% of the students studied at the library primarely.

Answer:

95

Step-by-step explanation:

Use a Venn diagram;

2 places are identified where students may study, the library and the cafeteria so there are 2 circles;

One represents library (L) and the other is cafeteria (C);

82 goes in the overlap since 82 study in both places;

177 study in the library, but this includes the 82 that also study in the cafeteria, so 177 - 82 will give us the number who study only in the library, i.e. 95;

If we wanted to find the number who study only in the cafeteria, it would be similar;

142 study in cafeteria, including the 82 who also study in the library, therefore 142 - 82 will give the number who only study in the cafeteria, i.e. 60;

The number who study in neither the library nor the cafeteria would be the total number of students surveyed (270) take the 82 who study in both places and take the 95 who study only in the library and take the 60 who study only in the cafeteria, which gives 33 (i.e. 270 - 82 - 95 - 60)


Two trains are traveling at a constant rate. Which train has the greater speed?

Answers

A point on the graph (for train b) that is exact is (2,250). From the origin, the rise is 250 and the run is 2. Rise/run would give us 250/2, which is 125. This means that train B travels 125mi every hour. For train A, we subtract the distance from hour 2 from hour 3 to get the miles per hour (because 3-2=1, subtracting the distance of hour 3 from 2 will give us the distance in 1 hour). 180-120= 60, meaning train A travels at 60mph. 60<125, meaning A

Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =



Plz help me I need the answer

Answers

Step-by-step explanation:

what is the problem ?

as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.

g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...

g(0) = 3 - 1/3 × 0 = 3

g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...

Answer:

g(-1) = 3/2

g(0) = 3

g(4) = 1

6w+8+4w-3=_w
What’s the awsner

Answers

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

PLZ HELP WITH ME WITH MY MATH HOMEWORK!!!!! SHOW WORK!!!!!

Answers

Explanation:

(I). 5/6 (4X+8) = (3/8) X - (1/4)

→ [{5(4X) + 5(8)}/6] = (3/8)X - (1/4)

→ [{20X + 40}/6] = (3/8)X - (1/4)

→ [{(20X/6) + (40/6) = (3/7)X - (1/4)

Now,

shift all variables fraction on LHS and constant fraction on RHS.

→ [(20X/6) - (3X/7)]= -(1/4) - (40/6)

Take the LCM of LHS denominator of 6&7 is 42.

→ [(140X - 18X)/42] = -(1/4)-(40/6)

→ [(122X)/42] = -(1/4)-(40/6)

Again take the LCM of the denominator in RHS i.e 4&6 is 12.

→ [(122X)/42] = (-12 - 80)/4

→ [(122X)/42] = (-92)/4

By doing Cross multiply the fraction, we get

→ 4(122X) = 42(-92)

→ 488X = -3 864

→ X = -3 864÷488

Therefore, X = -3864/488

Answer: Hence, the value of X for the given problem is -3864:488.

Explanation:

ii)Given algebraic equation is: 5(3p-5)+4p=5p-6(p+4)

→ 15p - 25 + 4p = 5p - 6p + 24

Shift all variables in LHS and constant on RHS.

→ 15p + 4p +6p = 25+24

→ 19p + 6p = 49

→ 25p = 49

Shift the number 25 from LHS to RHS.

Therefore, p = 49/25.

Answer: Hence, the value of P for the given algebraic equation is 49/25.

help me plssssssssssssssssssss

Answers

Answer:

Both the median and mean are 13

A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)​

Answers

Answer: B. (-3, 0)

Step-by-step explanation:

y = -3x - 9...(1)

y = 3x + 9...(2)

Substitute (1) into (2)

3x+9=-3x-9

6x=-18

x=-3

Substitute y=0 into (1)

y=3(-3)+9

y=0

Therefore, the solution to the system is the ordered pair (-3, 0)

being timed so help me please!

Answers

A.) bc you divide 110 by 5 :)

On a separate sheet of paper, graph the function. In the answer box, describe the function.
f(x) = {-5x+2 if x 2
2x - 2 if x 22

Please type your explanation (no links).

Answers

Answer:

  see attached

Step-by-step explanation:

The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).

The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).

You can plot the points described here and draw rays through them to form the graph. A graph is attached.

__

description

The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).

Its domain is all real numbers. Its range is all y-values greater than -8.

Mrs. marks has to pay if she drives 300 miles. 25 + 0.30*m=

Answers

Answer:25.3

Step-by-step explanation:

Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30

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