(2y^2 – 3y + 1) = (y - 2)

Answer:

2p+3>2(p−3)

Use the distributive property to multiply 2 by p−3.

2p+3>2p−6

Subtract 2p from both sides.

2p+3−2p>−6

Combine 2p and −2p to get 0.

-3>6

This is true for any p.

p∈R

Step-by-step explanation:

Hope this helps! :)

Answer:

C. No solution

Step-by-step explanation:

Sove for p;

2p + 3 > 2 (p – 3)

First: distribute 2 (p – 3):

2 (p – 3)

2(p) + 2(-3)

2p - 6

Now add it back to your original problem:

2p + 3 > 2p - 6

Subtract 3 from both sides of the equation:

2p + 3 > 2p - 6

     - 3         - 3

2p > 2p -9

Subtract 2p from both sides of the equation:

2p > 2p -9

-2p -2p

0 > -9

Therefore, this inequality has no solution, because we could solve for p.

Hope this helps!

Answer:

64%

Step-by-step explanation:

Answer:

y = 2x +5

Step-by-step explanation:

f(x) = y means that you want y to be on one side of the equation by itself.

so you need to isolate y.

2y - 4x = 10

first add 4x to both sides of the equation

2y = 4x + 10

then, divide by 2 on both sides to have y by itself

y = 4/2x + 10/2

finally, simplify:

y = 2x + 5

p = -4 and q = -6

hope it helps...!!!

Answer:

D) 79%

Step-by-step explanation:

I had this question on USATestprep and got it right.

A group of students formed a circle during a game. The circumference of the circle was about 50.24 feet, and the diameter of the circle was 16 feet. The required expression for value of π is: 3.14

A circle is a form made up of all points on a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to travel around a curve while maintaining a constant distance from another point.

Given that,

The circumference of the circle was about 50.24 feet,

And the diameter of the circle was 16 feet

We have to determine,

Which expression best represents the value of π.

According to the question,

Circumference of the circle = 50.24 feet

Diameter f the circle = 16 feet

Then,

Circumference of the circle = π × d

Circumference of the circle = 50.24 feet

Therefore,

50.24 = π × d

or. π × 16 = 50.24

or,  π = 3.14

Hence, The required expression for value of π is: 3.14

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#SPJ1

Answer:

c or a one of the 2

Step-by-step explanation:

Answer:

80°

Step-by-step explanation:

AB and AC are chords.

Chords AB and AC are at a distance of 2 units from the center of the circle.

-> Chord AB = Chord AC

[tex]\implies m(\widehat {AB})=m(\widehat {AC})[/tex]...(1)

(Equal chords intercept equal arcs)

[tex]m(\widehat {AB})+m(\widehat {AC})+m(\widehat {BC})=360\degree[/tex]

(By arc sum property of a circle)

[tex]\implies m(\widehat {AB})+m(\widehat {AB})+200\degree=360\degree[/tex]

(From equation 1)

[tex]\implies 2m(\widehat {AB})=360\degree-200\degree[/tex]

[tex]\implies 2m(\widehat {AB})=160\degree[/tex]

[tex]\implies m(\widehat {AB})=\frac{160\degree}{2}[/tex]

[tex]\implies \huge{\orange{m(\widehat {AB})={80\degree}}}[/tex]

Step-by-step explanation:

9 metres = 900cm

Scale = Object length :image length

= 900:12

= 75:1

This means that every 75cm length of the court is represented by 1cm on the drawing paper.

Answer:

7) a

8) b

9) d

Step-by-step explanation:

Given,

Time taken to cover the last last straight stretch of a race = 4 seconds

He speeds up from 5 m/s to 9 m/s

To find,

The acceleration of the runner.

Solution,

We can simply solve this numerical problem by using the following process.

Here,

Initial velocity (u) = 5 m/s

Final velocity (v) = 9 m/s

Time (t) = 4 seconds

Acceleration (a) = ?

According to the formula of kinematics,

a = (v-u)/t

a = (9-5)/4 [By putting the given values.]

a = 4/4 = 1 m/s²

(We have used SI unit of the acceleration, because all the initial physical quantities are also in SI units.)

Hence, the acceleration is 1 m/s²

Step-by-step explanation:

xbc = 55

because corresponding angle of parallel lines are equal

BXC = 70

because triangle XBC is Isosceles triangle

angle B = angle C

B = C = 55

so angle

BXC = 180 - 55 - 55

BXC = 180 - 110

BXC = 70

Answer:

x=23

Step-by-step explanation:

the red angle is equal 136 because a || b . I think its called altering angles or something like that . also the red angle and (x+21) angle are complementary angles (they add up to 180) thats where I got the equasion i wrote from.

Answer:

Step-by-step explanation:

67 becaue you divide all the numbers together then add then multiply then subtract divide that number and you get 67

Answer:

17

Explanation:

First, we observe that 1 row will seat 9 people.

Second, we take 150 and divide that by 9 to get our conversion factor for the amount of bleachers that are needed. Our answer comes out to 16.67, which we can assume that the question is asking for enough to seat all 150 of those people.

So we round up to 17, since 16.67 bleachers simply doesn't exist.

The research analysis computed do not give supporting evidence that employer-sponsored wellness programs work.

From the information given, the sample proportion for treatment group will be:

= 356/3300 = 0.1078

The sample proportion for the control group will be:

= 184/1534 = 0.1199

The z value is -1.24 and the p value is given as 0.1078. In this case, we fail to reject the null hypothesis.

Therefore, the results do not provide convincing evidence that offering employees paid time off to participate on a wellness program will reduce the proportion of those who leave their job within two years.

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Answer:

  3/8 cubic units

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH

Using the given dimensions, we find the volume to be ...

  V = (1/2)(1)(3/4) = 3/8 . . . . cubic units

Answer:

13.5

Step-by-step explanation:

A triangles area is base x height divided by two.

Height is 3, and base is 9.

9 x 3 = 27 / 2 = 13.5

Answer:

[tex]at \: y = 20 \\ x = 20[/tex]

Answer:

Explanation: to find the x-intercepts, that is the points on the x-axiswhere the graph crosses

x2−5x−24=0←in standard formfactorise the quadratic using the a-c methodthe factors of - 24 which sum to

- 5 are - 8 and + 3⇒(x−8)(x+3)=0equate each factor to zero and solve for

xx−8=0⇒x=8←x-interceptx+3=0⇒x=−3←x

-interceptgraph{x^2-5x-24 [-10, 10, -5, 5]}

Answer:

Both are used to measure some things to some kind of extent.

Step-by-step explanation:

For example Rulers and Scales are used in Geometry to measure length but the extent to which a Scale can measure the length is limited wheareas the for the ruler it is unlimited.

Answer:

They both have a measuring system that looks somewhat like a numberline  and they both mesure something.  (Also both are referred to as a rular

Step-by-step explanation:

In scientific and engineering terminology, a device to measure linear distance and create proportional linear measurements is called a scale. A device for drawing straight lines is a straight edge or ruler. In common usage, both are referred to as a ruler.

Answer:

11, 6

just do 8 - (-3) and 9 - 3

Step-by-step explanation:

a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.

b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

[tex]47+2x-5=180\\47-5+2x=180\\42+2x=180\\42-42+2x=180-42\\2x=138\\\frac{2x}{2} =\frac{138}{2} \\x=69[/tex]

Answer:

y intercept: 4, x-intercept: None

Step-by-step explanation:

Took the test and got it right

Answer:

the sum is the total amount resulting from the addition of two or more numbers, amounts, or items.

The sequence an = 2(an-1 - 3) is a recursive sequence

The 4th term of the sequence is -42

The given parameters are:

a1 = 0

a2 = -6

an = 2(an-1 - 3)

Start by calculating a3 using:

a3 = 2(a2 - 3)

This gives

a3 = 2 * (-6 - 3)

a3 = -18

Calculate a4 using:

a4 = 2(a3 - 3)

This gives

a4 = 2 * (-18 - 3)

a4 = -42

Hence, the 4th term of the sequence is -42

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Simplifying

8d + -6d = 10

Combine like terms: 8d + -6d = 2d

2d = 10

Solving

2d = 10

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Divide each side by '2'.

d = 5

Simplifying

d = 5

Answer:

b

Step-by-step explanation:

perpendicular lines have reciprocol slopes,the given line has a gradient of _1/3 nd its reciprocal is 3

Answer:70

Step-by-step explanation:30 divided by 6 equals 5. And 420 divided by 6 equals 70