If y=3x+5 and z=x^2+2x-5, what is yz?

Answers

Answer 1
Answer:  3x^3 + 11x^2 - 5x - 25

Work Shown:

yz = y(x^2+2x-5)

yz = y(x^2) + y(2x) + y(-5)

yz = x^2( y ) + 2x( y ) - 5( y )

yz = x^2( 3x+5 ) + 2x( 3x+5 ) - 5( 3x+5 )

yz = x^2*3x + x^2*5 + 2x*3x + 2x*5 - 5*3x - 5*5

yz = 3x^3 + 5x^2 + 6x^2 + 10x - 15x - 25

yz = 3x^3 + 11x^2 - 5x - 25


Related Questions

11. Find the coordinates of the point located six units behind the yz- plane, seven units to the right of the xz - plane, and eight units above the xy-plane. O x = -6, y = 7, z =-6 O x = -6, y = 7, z = 8 Ox=7, y = 7, z = 8 O x = 6, y= 7, z = 8​

Answers

Answer: I think

Step-by-step explanation:Let the coordinate of the point be (x,y,z). Since the point is located 3 units behind the YZ− plane, 4 units to the right of XZ− plane and 5 units above the XY−plane ,x=−3,y=4 and z=5 Hence, coordinates of the required points are (−3,4,5)

How are statistical questions different from other questions?​

Answers

Answer & explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer. For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question.

Pls, choose me as brainliest!

What is the length of line segment AB in the triangle shown below?

Answers

Answer:

the lenght of the segment ab is 15 inches

Abby has 159 bonus coupons. She wants to staple them in groups of 30. How many complete groups of 30 can Abby make?
5 complete groups


6 complete groups


14 complete groups


59 complete groups

Answers

Abby can make 5 complete groups with 9 extra bonus coupons.

What is Division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, Abby has total number of coupons = 159

        Number of coupons in a group = 30

Total number of groups = Total Coupons / coupons in a group

                                         = 159 / 30

                                         = 5.3

Thus, Abby can make 5 complete groups with 9 extra bonus coupons.

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Please help asap!! drag each tile to the correct box.
arrange the steps in the correct order to solve this trigonometric equation.
cos^2x = 3sin^2x

Answers

cos²(x) = 3 sin²(x)

1 - sin²(x) = 3 sin²(x)

1 = 4 sin²(x)

1/4 = sin²(x)

± √(1/4) = sin(x)

± 1/2 = sin(x)

sin(x) = 1/2   or   sin(x) = -1/2

[x = arcsin(1/2) + 2nπ   or   x = π - arcsin(1/2) + 2nπ]

… … … or   [x = arcsin(-1/2) + 2nπ   or   x = π - arcsin(-1/2) + 2nπ]

(where n is any integer)

[x = π/6 + 2nπ   or   x = 5π/6 + 2nπ]

… … … or   [x = -π/6 + 2nπ   or   x = 7π/6 + 2nπ]

Match the function in the left column with its period in the right column.

Answers

The results for the matching between function and its period are:

Option 1 - Letter DOption 2 - Letter AOption 3 - Letter COption 4 - Letter B

What is a Period of a Function?

If a given function presents repetitions, you can define the period as the smallest part of this repetition. As an example of periodic functions, you have: sin(x) and cos(x).

[tex]\mathrm{Period\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}[/tex]

[tex]\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}[/tex]

The period of sin(x) and cos(x) is .

For solving this question, you should analyze each option to find its period.

1) Option 1

[tex]\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}\\ \\ \mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{2\pi }{\frac{1}{2} }=4\pi[/tex]

Thus, the option 1 matches with the letter D.

2) Option 2

[tex]\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}\\ \\ \mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{4} =\frac{\pi }{2}[/tex]

Thus, the option 2 matches with the letter A.

3) Option 3

[tex]\mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\cos \left(x\right)}{|b|}\\ \\ \mathrm{Periodicity\:of\:}a\cdot \cos \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{2} =\pi[/tex]

Thus, the option 3 matches with the letter C.

4) Option 4

[tex]\mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{\mathrm{periodicity\:of}\:\sin \left(x\right)}{|b|}\\ \\ \mathrm{Period\:of\:}a\cdot \sin \left(bx\:+\:c\right)\:+\:d=\frac{2\pi}{8} =\frac{\pi }{4}[/tex]

Thus, the option 4 matches with the letter B.

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Could you help me find X,

Answers

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{4}{x}~~ = ~~\cfrac{x}{9}\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]

Cindy wants to put new carpet in her entryway. The entryway is 15ft. long and 7ft. wide. She wants to buy 10% extra carpet in case it is needed. How much carpet will she need to order?

Answers

Answer:

10.5

Step-by-step explanation:

quick math

Can y’all help with this?

Answers

I think the second one is a paralellogram . And the first one is a trapezoid

Answer:

Quadrilateral:  shape with 4 sides

Perpendicular means at right angles.  Therefore, draw two sides at a right angles to each other.  Mark this with a right angle symbol.

Draw 2 sides that are parallel.  Mark these with arrows.

Please see attached diagrams.

what is the the value of m in the equation 1/2m-3/4n=16, when n=8

Answers

answer: m=44

explanation:
1/2m-3/4(8)=16
just fill substitute the n for 8 and then find the value of m

The height of lava fountains spewed from volcanoes cannot be measured directly. Instead, their height in meters can be found using the equation y=1/2 gt^2

where y represents the height, g is 9.8, and t represents the falling time of the lava rocks. Find the height in meters of a lava rock that falls for 5 seconds.

Answers

The height in meters of a lava rock that falls for 5 seconds is; 122.5 m.

How to calculate height from quadratic equations?

We are told that the height is modelled by the equation;

y = ¹/₂gt²

where;

y represents the height.

g is 9.8 m/s²

t represents the falling time of the lava rocks.

Thus, at t = 5, we have;

y(5) = ¹/₂(9.8)(5)²

y(5) = 122.5 m

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David Saw three ducks in a pond then he saw two more ducks on the path how many decks did David see all together ​

Answers

Answer:

5

Step-by-step explanation:


12. The mean number of boxes of cookies sold by
each girl scout in Emma's troop was 28 with a
standard deviation of 8. If Emma's z-score
was -1.5, how many boxes of cookies did she
sell?
Answer:

Answers

Answer:

16

Step-by-step explanation:

i hope this help you

4 Solve these inequalities. Show the solutions on the number lines.
a 4v-2 > 16
b 6 ≥ 2(w-7)
0
5 a Write as a recurring decimal.
b Convert 0.45 to a fraction.
(5 marks)

Answers

Answer:

a) v>4.5

b) w<6.5

a) 0.3 recurring

b) 5/11

Solve the system of equations:
y=2x
y=x²-8

Answers

Set equal to each other
x^2 - 8 = 2x
x^2 - 2x - 8 = 0

Factor
(x - 4)(x + 2) = 0
x = 4 or x = -2

Plug in 4
y = 2x or y = x^2 - 8
y = 2(4) or y = 4^2 - 8
y = 8

Plug in -2
y = 2x or y = x^2 - 8
y = 2(-2) or y = (-2)^2 - 8
y = -4

There are two solutions
(4, 8) and (-2, -4)

The measure of the base angle of an isosceles triangle is 52.

What is the measure of the vertex angle?

Answers

Answer:

76°

Step-by-step explanation:

The 2 base angles are equal so

52+52+vertex angle=180° (Angle Sum Property)

104+ vertex angle=180°

vertex angle= 180-104

vertex angle=76°

[tex]\sqrt{8+2\sqrt{15}[/tex] Simplify this equation! Please help ASAP

Answers

[tex] \sqrt{8 \: + \: 2 \sqrt{15} } [/tex]

Factor the indicated expression:

[tex] \sqrt{( \sqrt{3 } \: + \: \sqrt{5} ) ^{2} } [/tex]

Simplified the index, the root and also the exponent using the number 2.

[tex] \boxed{ \bold{\sqrt{3} \: + \: \sqrt{5} }}[/tex]

MissSpanish

Which expression is equivalent to 12b + 3a? choices: a (a + b) x 12 b 3 (4b + a) c ab x 12 x 3 d (12 x 3) + (b x a)

Answers

Answer:

The answer to the equation is B.

Step-by-step explanation:

Answer:

i took the test and its B

Step-by-step explanation:

What is the value of a in the equation? 22 = startfraction a over 11 endfraction 2 33 222 242

Answers

Answer:

D / 242

Step-by-step explanation:

hope this helps!

3. a local sports store charges $22.33 for a football and 6% tax. how much
will the total price be to purchase the football? *

Answers

Given the charges for a football and the tax rate, the total price to purchase a football is $23.6698.

How much will the total price be to purchase the football?

Given that;

Charges for a football = $22.33Tax rate = 6%Total price to purchase football = ?

First, we calculate the tax price on the football.

Tax price = Tax rate × Charges for the football

Tax price = 6% × $22.33

Pax price = 0.06 × $22.33

Tax price = $1.3398

Now, total price to purchase football will be;

Total price = Charges for a football + Tax price

Total price = $22.33 + $1.3398

Total price = $23.6698

Given the charges for a football and the tax rate, the total price to purchase a football is $23.6698.

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for the function f(x) = x^2, what effect will be multiplying f(x) by 1/2 have on the graph?

Answers

We are describing the Transformation which would be that it shrinks

URGENT


Christian installed an electric pump to pump water from a borehole into a 30 000 litre cement dam. If the water is pumped at a rate of 75 litres per minute. How long does it take to fill the dam? A 4 h
B. 6 h 40 min
C 6 h 20 min
D 3 h 40 min​

Answers

B 6hrs 40 minutes
30000 / 75 = 400
400 minutes put into hours is 6 hours 40 minutes

what is the slope-intercept equation of the line that includes the points in the table?

Answers

Answer:y=5x+1

Step-by-step explanation:the y intercept is the y value when x=0 which we can read off as run. Slope =rise/run=(change in y value)/(change in x value) for any two points.

Lawyer Fees:
A lawyer charges a base (one time) fee of
$200 and $75 each hour for consulting with
her. What would be the equation to model the situation?

Answers

$200 + $75 = $275

8 hours = $275 x 8

= 2,200

y'all pls help im really confused on how to do this

A train traveled 300 miles. How long did the trip take if the train was traveling at a rate of 50mph
70mph
Xmph
x=10MPH
x-5mph

Answers

The trip would have taken 6 hours.

(300 mi) / (50 mi/h) = 6 h

Which point on the number line most closley represents 1.ModifyingAbove 6 with bar?

A number line going from negative 6 to positive 6. Point A is between negative 2 and negative 1, point B is between 0 and 1, point C is 1, point D is between 1 and 2.
A
B
C
D

Answers

The correct answer is option D.The point 1.6 with bar will be lies between 1 and 2.

The image of the question is attached with the answer below:-

What is a number line?

The number line is the line on which real numbers are marked with the same interval between them. Number lines are used to mark any point of the real number on the line.

We can see in the image that A, B, C and D points are marked on the number line. The line is marked with real numbers that are integers.1.6 bar number will lie between 1 and 2 numbers.

Therefore the correct answer is option D.The point 1.6 with a bar will be lies between 1 and 2.

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Answer:

D

Step-by-step explanation:

Select the correct answer.


What is the general form of the equation for the given circle centered at O(0, 0)?

A.
x2 + y2 + 41 = 0
B.
x2 + y2 − 41 = 0
C.
x2 + y2 + x + y − 41 = 0
D.
x2 + y2 + x − y − 41 = 0

Answers

The general form of the equation for the given circle centered at O(0, 0) is x² +y² - 41=0.

The correct option is (B).

What is equation of circle?

The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

as, general equation for a circle is ( x - h )² + ( y - k )² = r²

Here,  centered at O(0, 0).

So,

a =0 and b = 0

now, r² = (BO)²

r² = (4-0)² +(5-0)²

r²  = 16+25

r² = 41

Hence, Center at the origin passing through B(4, 5) is x² +y² = 41.

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help please I really need help and thank you :))))​

Answers

Answer:

14) x = 30°

15) x = 50°

Step-by-step explanation:

14) 60 + x = 90

     x = 90 - 60

     x = 30°

15) 130 + x = 180

     x = 180 - 130

     x = 50°

Hope this helps

Step-by-step explanation:

Is first image we are given a right angle and we know that right angle = 90°

So,

60 + x = 90

x = 90 - 60 = 30°

x = 30°

In the second image we are given a straight line and we know that on the 180° angle is a straight line.

so,

130 + x = 180

x = 180 - 130

x = 50°

A rectangle has a length 10 more than its width. If the width is increased by 8
and the length by 4, the resulting rectangle has an area of 135 square units.
Part A
Write an equation to model the above scenario. Use the model to find the length
of the original rectangle?
powered by
esmos
Part B
What is the perimeter of the expanded rectangle?

Answers

Step-by-step explanation:

length = the original length

width = the original width

length = width + 10 or

width = length - 10

(length + 4) × (width + 8) = 135

A

now we are using the first equation in the second to solve then for length :

(length + 4) × (length - 10 + 8) = 135

(length + 4) × (length - 2) = 135

length² - 2×length + 4×length - 8 = 135

length² + 2×length = 143 or

length² + 2×length - 143 = 0

this is the equation to model the scenario.

solving in general such a quadratic equation :

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = length

a = 1

b = 2

c = -143

length = (-2 ± sqrt(2² - 4×1×-143))/(2×1) =

= (-2 ± sqrt(4 + 572))/2 =

= (-2 ± sqrt(576))/2 =

= (-2 ± 24)/2 = (-1 ± 12)

length1 = -1 + 12 = 11

length2 = -1 - 12 = -13

a negative solution for a length is not applicable, so,

length = 11

width = length - 10 = 11 - 10 = 1

B

the expanded length = 11 + 4 = 15

the expanded width = 1 + 8 = 9

the expanded perimeter is then

2×15 + 2×9 = 30 + 18 = 48

If y varies inversely with x and y=2 when x=5, what is the value of x when y=3?

Answers

Answer:

Step-by-step explanation:

Method

Inversely in this sentence means

y = k/x    

So you first step is to find the value of k. You do that by setting up an inverse relationship with y = 2 , x = 5

2 = k/5                     Multiply both sides by 5

2*5 = 5*k/5

10 = k

Now you are able to answer the question.

k = 10y = 3x = ?

y = 10/x

3= 10/x                      Multiply both sides by x

3*x = x * 10/x

3x = 10                      Divide both sides by 3

3x/3 = 10/3

x = 3.33 or x = 3 1/3

Answer

x = 3.33 or x = 3  1/3

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