is y+15=30,y=20 true or false?​

The quadratic equation is  3x² - 27.

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

Given:

The roots are 3 and -3

We have

α= 3   and β=-3

So,

α+β = -b/a  and αβ = c/a

α+β = 0 =-b/a and  αβ= -9 = c/a

Comparing from above

a=1, b= 0 and c=-9

Also, the leading coefficient is 3.

Then the quadratic equation is,

= 3(ax² + bx + c)

= 3( x² +0x- 9)

Hence, the quadratic equation is 3x² - 27.

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Answer:

57 square units

Step-by-step explanation:

Area is = Length x Width

Given:

f(x)= 4x + 3    Length

g(x)=2x-5      Width

x = 4

============

Width

g(x)=2x-5

g(4)=2(4)-5

g(4)= 3

Length

f(x)= 4x + 3

f(4) = (4)(4) + 3

f(4) = 19

Area = (length)*(width)

Area = f(x)*g(x) for x = 4

Area = (f(4))*(g(4))

Area = (19)*(3)

Area = 57 square units

Answer: 2

Step-by-step explanation:

By the geometric mean theorem,

[tex]\sqrt{8k}=4\\\\8k=16\\\\k=\boxed{2}[/tex]

Answer:

Standard Deviation is s = 2.9

Step-by-step explanation:

Count = [tex]N[/tex] = 5

Mean = [tex]x^-[/tex] = 9

Variance = [tex]s^2[/tex] = 8.5

SD Formula = [tex]s = \sqrt \frac{1}{N - 1} (x_{i} - x^-)^2[/tex]

Variance Formula[tex]s^2 = \frac{(x_{i} - x^-)^2}{N- 1}[/tex]

Step 1: Calculate the variance

[tex]= \frac{(7-9)^2 + (5-9)^2 + (10-9)^2 + (11-9)^2 + (12 -9)^2 }{5-1}[/tex]

[tex]=\frac{34}{4} = 8.5[/tex]

Step 2: Apply square root/SD formula

[tex]=\sqrt{8.5} = 2.9[/tex]

The closest benchmark for 99% is 100%.

We know that benchmarks in mathematics are the norm or point of comparison that something can be measured, compared, or evaluated against. Benchmark values are values that can be used to estimate and contrast other values or quantities. Typically, benchmark figures are multiples of 10 or 100. 0 percent, 10 percent, 25 percent, 50 percent, 75 percent, and 100 percent are the most popular benchmark percentages.

Here we have to find the closest benchmark for 99%. Clearly, from the definition 100% is the required answer.

We can conclude that the closest benchmark for 99% is 100%.

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The function would become an exponential decay function.

Answer:

Step-by-step explanation:

Solve for x in the equation

x/5 - 2 = 11

x/5 = 11 + 2

x/5 = 13

x = 5 * 13

x = 65

-----------------

check

65/5 - 2 = 11

13 - 2 = 11

11 = 11

the answer is good

The x-intercept is (16, 0) and y- intercept is (0, 6).

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given: 24x+64y=384

For y- intercept, put x=0

Then,

24*0+64y=384

64y= 384

y= 6

Now, for x- intercept put y=0

Then,

24x+64*0=384

24x= 384

x= 15

Hence, the x-intercept is (16, 0) and y- intercept is (0, 6).

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Answer:

Sample Answer: Substitute 0 for the x-value in the equation and solve for y. The result is y = 6, so the y-intercept is at (0, 6). Next, substitute 0 for the y-value in the equation and solve for x. The result is x = 16, so the x-intercept is at (16, 0).

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

When graphing inequalities:

Given inequality:

[tex]y-5 > 2x-10[/tex]

Rearrange the given inequality to make y the subject:

[tex]\implies y-5+5 > 2x-10+5[/tex]

[tex]\implies y > 2x-5[/tex]

Therefore, we need to draw a dashed line and shade above it.

To draw the line:

Replace the > with = to find two points on the line:

[tex]\implies y=2x-5[/tex]

[tex]x=0 \implies y=2(0)-5=-5 \implies (0,-5)[/tex]

[tex]x=3 \implies y=2(3)-5=1 \implies (3,1)[/tex]

Plot the two found points: (0, -5) and (3, 1)

As the inequality is  y > 2x - 5

The inequality equation is solved and the solution is plotted on the graph

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y - 5 > 2x - 10

On simplifying , we get

Adding 5 on both sides , we get

y > 2x - 5

where 2 is the slope and 5 is the the intercept

Now , let the first point be P ( 0 , -5 )

when x = 0 and y = -5

-5 > -5

And , the graph of the inequality is plotted

Hence , the inequality is solved

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Answer:

Hey there : y= 3x - 3

Answer:

y = [tex]\frac{3}{2}[/tex] x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0-(-2)}[/tex] = [tex]\frac{3}{0+2}[/tex] = [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = [tex]\frac{3}{2}[/tex] x + 3 ← equation of line

Let's take this problem step-by-step:

Let's convert the equation back into the standard form:

     ⇒ standard form: (x-h)² +(y-k)² = r²

       [tex]x^2+y^2-8x+10y + 37 = 0\\\rm \hookrightarrow x^2 - 8x + y^2+10y = -37\\\rm \hookrightarrow (x^2 - 8x) + (y^2 + 10y) = -37\\\rm \hookrightarrow (x^2-8x+16) + (y^2+10y+25) = -37 + 16 +25\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 4\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 2^2[/tex]

Based on the equation found

  ⇒ center: (4, -5)

   ⇒ radius: 2

Answer:

Hope that helps!

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The side length of the original cube is 1.95 inch.

Let each side length of each cube be 'x' inch.

Given : New side = (x+4 ) inch

Another new side = 2x inch

Since the sides are not equal, so it forms a cuboid in the case of new sides as given.

Also, according to question,

The volume of new rectangular prism is 450 cubic inches

= (x+4)*2x*x = 450

⇒ 2x cubed 8x squared =450

=16x5=450= 1.95 inch ( by taking out the cubic root of x3=7.5)

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The value of a2+b2 = 0.05

The value of a3+b3 = 41.73

Concept: (a+b)2 = a2+b2+2ab

(a-b)2 = a2+b2-2ab

(a+b)3 = a3+b3+3a2b+3ab2

(a-b)3 = a3-b3-3a2b+3ab2

(I) a²+b²=(1/7-4✓3)²+(1/7+4✓3)²

⇒ ( 1/49 - 48) +(1/49 + 48)=(1-2352/49) + (1+2353/49)

⇒ -47.97 +48.02= 0.05

(ii) a³+b³=(1/7-4✓3)³+(1/7+4✓3)³

⇒(-6.78)³ +(7.07)³

⇒-311.66 +353.39= 41.73

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Answer:

200:1, Bryn is correct.

Step-by-step explanation:

Each 10 m is represented by a 5cm length on the diagram.  We first note that 100 cm = 1 meter.   5 cm is (0.5 cm)*(1 meter/100 cm) =0.05 meters.

The 0.05 meters on the diagram represents 10 meters on the actual building.  The ratio is (10 meters/0.05 meters) or 200:1.  This is what Bryn believes is the ratio.  

Answer:

hey diddle the medians the middle

you add and then divide for the mean

the mode is the one you see the most and the range is the difference between.

Hope this helps you with your question

Step-by-step explanation:

7h-15h+40=-72

40+72=15h-7h

112=8h

h=14

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: length = 11 \: \: in[/tex]

[tex]\qquad \tt \rightarrow \: width = 4 \: \: in[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Let the measures be :

[tex] \textsf{\large Area of rectangle :} [/tex]

[tex]\qquad \tt \rightarrow \: Area = length \sdot width [/tex]

[tex]\qquad \tt \rightarrow \: 44 = x \sdot(x + 7)[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x = 44[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x - 44 = 0[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + 11x - 4x - 44 = 0[/tex]

[tex]\qquad \tt \rightarrow \: x(x + 11) - 4(x + 11) = 0[/tex]

[tex]\qquad \tt \rightarrow \: (x + 11)(x - 4) = 0[/tex]

possible values of x = -11 and 4

[tex] \textsf{But the acceptable value of x = 4} [/tex]

[ length or width of rectangle can't be negative ]

[tex]\qquad \tt \rightarrow \: length = x + 7 = 4 + 7 = 11 \: \: in[/tex]

[tex]\qquad \tt \rightarrow \: width = x = 4 \: \: in[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Step-by-step explanation:

[tex] - \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1[/tex]

[tex] - \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2} [/tex]

[tex] \frac{ - 3x + 9}{4} = \frac{2x + 4}{4} [/tex]

[tex] - 3x + 9 = 2x + 4[/tex]

[tex] - 3x - 2x = 4 - 9[/tex]

[tex] - 5x = - 5[/tex]

[tex]x = \frac{ - 5}{ - 5} [/tex]

[tex]x = 1[/tex]

The answer is C.

Answer:

y=ax+b

a=-0.6020457867

b=-2.256697516   <------- There is your value for b, which is the answer to the problem.

You can use these values for a and b to generate an equation in slope-intercept form, which you can then enter under Y= and view the graph.

Step-by-step explanation:

The value of y is multiplied by 2 each time when the value of x increases by 1 and this can be determined by using the arithmetic operations.

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

Given that,

Table --    x            y

                1            20

                2            40

                3            80

                4            160

                5            320

The following steps can be used in order to describe how the y values are changed over each interval:

Step 1 - When value of (x = 1) and the value of (y = 20).

Step 2 - When value of (x = 2) and the value of (y = 40).

Step 3 - When value of (x = 3) and the value of (y = 80).

Step 4 - When value of (x = 4) and the value of (y = 160).

Step 5 - From the above steps, it can be concluded that the value of y is multiplied by 2 each time when the value of x increases by 1.

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Answer:15

Step-by-step explanation:

Start off using Java. As u progress you cant move over to C and the then transfer to python.

The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers.

The box plot showing scores for the Panthers basketball team has the median shown by a vertical line dividing the box into 2 equal halves.

Also, both whiskers on either side are relatively equal which shows that the data set for bulldogs is symmetric.

On the other side, the box plot for wolverine shows the median closer to the upper quartile.

That shows that the data set for team Wolverines' distribution is negatively skewed.

The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.

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The remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.

We know that the remainder theorem states that if a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, then the remainder is given by r = p(a).

Here p(x) = f(x) = 2x³ + 2x² - 3x - 3 and q(x) = x - 2. First, we have to find the zero of q(x).

Now, q(x) = 0

i.e. x - 2 = 0

i.e. x = 2.

So, the zero of q(x) is 2, i.e. a = 2.

Then by the remainder theorem,

r = p(a) = f(2) = 2(2)³ + 2(2)² - 3(2) - 3 = 2 × 8 + 2 × 4 - 6 - 3 = 16 + 8 - 9 = 16 - 1 = 15

We can conclude that the remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.

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Answer: 2

Step-by-step explanation:

The opposite of a negative number is the corresponding positive number.

Answer:

x = ± [tex]\sqrt{2}[/tex] , x = ± i

Step-by-step explanation:

f(x) = [tex]x^{4}[/tex] - x² - 2

to find the zeros , equate f(x) to zero , that is

[tex]x^{4}[/tex] - x² - 2 = 0

using the substitution u = x² , then

u² - u - 2 = 0 ← in standard form

(u - 2)(u + 1) = 0 ← in factored form

equate each factor to zero and solve for u

u - 2 = 0 ⇒ u = 2

u + 1 = 0 ⇒ u = - 1

convert u back into terms of x

x² = 2 ( take square root of both sides )

x = ± [tex]\sqrt{2}[/tex]

x² = - 1 ( take square root of both sides )

x = ± [tex]\sqrt{-1}[/tex] = ± i

Answer: Positive or negative square root of 2, ±i

Proof o fvalidity is shown below.

The number of units that will maximize revenue will be 672 units.

From the given information, p = 336 - 0.5x. The revenue function will be:

= (336 - 0.5x)x

= 336x - 0.5x²

This will be equated to 0. This will be:

336x - 0.5x² = 0

0.5x² = 336x

0.5x = 336

x = 336/0.5

x = 672

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The transformation occurs from function g is a vertical translation 6 units down.

A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.

Given:

g(x) = 4x + 6

g(x) = 0

4x + 6=0

x= -6/4

Now,

f(-6/4) = 2 - 1

=-1

By seeing g(x), we can say that  function g is a vertical translation 6 units down.

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Step-by-step explanation:

please mark me as brainlest

Answer:

10.5 is the correct answer.

Step-by-step explanation:

Due to the fact Triangle CAB has "6" as its length, and Triangle FDE has "2" as its length, you multiply 3.5 and 3.

3.5 x 3=10.5

2 x 3=6

3.5/2=10.5/6, so the answer is 10.5.

Answer:

Step-by-step explanation:

Find the value of x, given that the two triangles are similar.

​

Given that the two triangles are similar we can solve with a proportion

6 : 2 = x : 3.5

x = 6 * 3.5 : 2

x = 21 : 2

x = 10.5

Answer:

choosing 1 red marble

choosing 1 white marble, replacing it, and choosing another white marble

choosing 1 white marble

Step-by-step explanation:

red marble has a 30 percent chance

1 white marble and then replacing and another white marble is 25% chance

1 white marble is 50% chance

The correct values of a and b to rewrite the expression as (x + a)(x + b) are:

a = 9

b = -8

So, (x + 9)(x - 8) is the correct form of the given expression.

Here, we have to rewrite the expression x² + x - 72 in the form (x + a)(x + b), we need to find two numbers a and b such that when multiplied,

it give us the constant term -72 and when added, it give us the coefficient of the x term, which is 1.

The expression x² + x - 72 can be factored as follows:

x² + x - 72

= x² + 9x - 8x - 72

=x(x+9) -8(x+9)

= (x + 9)(x - 8)

Therefore, the correct values of a and b to rewrite the expression as (x + a)(x + b) are:

a = 9

b = -8

So, (x + 9)(x - 8) is the correct form of the given expression.

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