HELP! answer if you can !!​

Answer:

Range : { -5,1,7}

Step-by-step explanation:

Take the values in the domain and substitute into the equation

x = -3

y = -2(-3) +1 = 6+1 =7

x = 0

y = -2(0) +1 = 0+1 =1

x = 3

y = -2(3) +1 = -6+1 =-5

The range is the y values

We put then in order from smallest to largest

Range : { -5,1,7}

Answer:

( 0,0) is the x intercept

Step-by-step explanation:

y = (2x)/(x-1),

To find the x intercept set y = 0 and solve for x

0 =  (2x)/(x-1)

Multiply by x-1 on each side assuming x does not equal 1

0 = 2x

x = 0

The x intercept is 0

( 0,0) is the x intercept

Answer:

The two polynomials are:

(x + 1) and (x² + x)

Step-by-step explanation:

A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.

Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.

Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.

So,

Let's multiply both numerator and denominator by (x + 1) to get;

(x + 1)/(x(x + 1))

This gives; (x + 1)/(x² + x)

Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.

Answer:

90 degrees

Step-by-step explanation:

Add them together. 58+32=90

90 degrees

add them togather

Answer:

[tex]p = \frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]x\² - 5x + p[/tex]

Required

Find p, such that the expression is a perfect square

Write out the coefficient of x

Coefficient = -5

Next step is to divide the coefficient of x by 2

[tex]Result = \½(-5)[/tex]

Take the square of the above expression to give p

[tex]p = (\½(-5))\²[/tex]

[tex]p = (\½(-5) * (\½(-5)[/tex]

[tex]p = \½ * \½ * (-5) * (-5)[/tex]

[tex]p = \¼(25)[/tex]

[tex]p = \frac{25}{4}[/tex]

Substitute 25/4 for p in the given expression

[tex]x\² - 5x + p[/tex] becomes

[tex]x\² -5x + \frac{25}{4}[/tex]

Expand the above expression

[tex]x\² - \frac{5x}{2} - \frac{5x}{2} + \frac{25}{4}[/tex]

Factorize

[tex]x(x - \frac{5}{2}) - \frac{5}{2}(x - \frac{5}{2})[/tex]

[tex](x - \frac{5}{2})(x - \frac{5}{2})[/tex]

[tex](x - \frac{5}{2})\²[/tex]

Hence, the value of p is [tex]p = \frac{25}{4}[/tex]

Hello!

Answer:

[tex]\huge\boxed{c = 3}[/tex]

Given:

[tex]\frac{6}{3c} = \frac{2}{3}[/tex]

Cross multiply:

[tex]6 * 3 = 3c * 2[/tex]

Simplify:

[tex]18 = 6c[/tex]

Divide both sides by 6:

[tex]c = 18/6 = 3[/tex]

Answer:

c=3

Step-by-step explanation:

6          2

----- = -----

3c        3

Using cross products

6*3 = 2*3c

18 = 6c

Divide each side by 6

18/6 = 6c/6

3 =c

Answer:

a² + 2ab + b²

Step-by-step explanation:

Given

(a + b)²

= (a + b)(a + b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + b) + b(a + b) ← distribute both parenthesis

= a² + ab + ab + b² ← collect like terms

= a² + 2ab + b²

Answer:

t ≈ 5.1 days

Step-by-step explanation:

A 10 gram sample of a substance thats used to detect explosives has a k-value of 0.1356. Find the substances half-life in days. round your answer to the nearest tenth. N=N₀ e^-kt N₀= initial mass (at time t = 0) N = mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t=time in days

The initial condition is that, at time t = 0, the amount of substance contains originally 10 grams

Find the value of N₀

N=N₀ e^-kt

We substitute:

10 = N₀ {e^(-0.1356)*0}

10 = N₀ (e^0)

10=N₀(1)

10=N₀

N₀ = 10

When the substance is in half-life

That is, half of the original substance (5 grams)

Find t

N=N₀ e^-kt

5 = 10 e^(-0.1356*t)

0.5 = e^(-0.1356*t)

Bring down t by multiplying natural log on both sides

ln(0.5) = -0.1356*t

Divide both sides by -0.1356

t = -(ln(0.5) / 0.1356

t ≈ 5.11 days

To the nearest tenth

t ≈ 5.1 days

Answer:

5.1 days in Plato

Step-by-step explanation:

Answer:

two complex solutions

Step-by-step explanation:

2x^2 + 4x+4

Factor out 2

2( x^2+2x+2)

Using the discriminant on the inner term

b^2 -4ac  where a=1  b=2  c=2

2^2 -4 (1) (2)

4 - 8

-4

Since the  discriminant  is negative, we will have 2 complex solutions

Answer:

  2 complex solutions

Step-by-step explanation:

Given the standard form quadratic ...

  ax^2 +bx +c

The expression b^2-4ac is called the "discriminant." Its value can be used to predict the type of solutions. Here, we have ...

  a=2, b=4, c=4

so the discriminant is ...

  d = b^2 -4ac = 4^2 -4(2)(4) = -16

Because the discriminant is negative, we can predict there are 2 complex solutions.

__

The graph has no x-intercepts, confirming there are 2 complex solutions.

Answer:

40

Step-by-step explanation:

The first box is 2--> 16*3 divided by 24= 2

Second box is 40--> 5*24 divided by 3= 40

Hope it helps.

Answer:

The answer is

[tex] \sqrt{65} \: \: \: units[/tex]

Step-by-step explanation:

To find the distance between two points we use the formula

[tex] \sqrt{ ({x1 - x2})^{2} + ( {y1 - y2})^{2} } [/tex]

where

( x1 , y1) and ( x2 , y2) are the points

From the question the points were

(-8,5), (-1.1)

Substitute the values into the above formula

That's

[tex] \sqrt{ ({ - 8 + 1})^{2} + ({5 - 1})^{2} } [/tex]

[tex] \sqrt{ ({ - 7})^{2} + {4}^{2} } [/tex]

[tex] \sqrt{49 + 16} [/tex]

We have the final answer as

[tex] \sqrt{65} \: \: units[/tex]

Hope this helps you

Answer:

Correct

1.5×10^5

Step-by-step explanation:

first multiply 0.00045x500000 then you get 200 and divide that by 0.0015 you will get 150000 the equation will be 1.5x10^5

The expression is in scientific notation [tex]1.5 \times 10^5[/tex].

The expression is;

[tex]\dfrac{0.00045 \times 500,000}{0.0015}[/tex]

Firstly simplify the equation

[tex]= \dfrac{0.00045 \times 500,000}{0.0015}\\\\= \dfrac{2225}{0.0015}\\\\= 150,000[/tex]

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Therefore,

The expression is in scientific notation.

[tex]= 150,000\\\\= 15 \times 10000\\\\= 1.5 \times 10 \times 10000\\\\= 1.5 \times 10^5[/tex]

Hence, the expression is in scientific notation [tex]1.5 \times 10^5[/tex].

To know more about Scientific notation click the link given below.

https://brainly.com/question/10764675

Answer:

a. 5×=8+2

5×=10

b. 4×-2×=9+3

2×=13

c. 6×-2×=8-3

4×=5

Answer:

[tex] \boxed{\sf (3x - 2)(2x + 1)} [/tex]

Step-by-step explanation:

[tex] \sf Factor \: the \: following: \\ \sf \implies 6 {x}^{2} - x - 2 \\ \\ \sf The \: coefficient \: of \: {x}^{2} \: is \: 6 \: and \: the \: constant \\ \sf term \: is \: - 2. \: The \: product \: of \: 6 \: and \: - 2 \\ \sf is \: - 12. \\ \sf The \: factors \: of \: - 12 \: which \: sum \: to \\ \sf - 1 \: are \: 3 \: and \: - 4. \\ \\ \sf So, \\ \sf \implies 6 {x}^{2} - 4x + 3x - 2 \\ \\ \sf \implies 2x(3x - 2) + 1(3x - 2) \\ \\ \sf \implies (3x - 2)(2x + 1)[/tex]

Answer:

Step-by-step explanation:

[tex] \mathsf{ {6x}^{2} - x - 2}[/tex]

Write -x as a difference

[tex] \mathsf{6 {x}^{2} + 3x - 4x - 2}[/tex]

Factor out 3x from the expression

[tex] \mathsf{3x(2x + 1) - 4x - 2}[/tex]

Factor out -2 from the expression

[tex] \mathsf{3x(2x + 1) - 2(2x + 1)}[/tex]

Factor out 2x + 1 from the expression

[tex] \mathsf{(2x + 1)(3x - 2)}[/tex]

[tex] \mathcal{Hope \: I \: helped!}[/tex]

[tex] \mathcal{Best \: regards!}[/tex]

Answer:

6,5

Step-by-step explanation:

Answer:

(6,0),(-2,8),(-2,0)

Answer:

second table

Step-by-step explanation:

Out of the 8 options on the spinner, 2 of them are 0's, 1 of them is a 1, 2 of them are 2's and 3 of them are 3's so the probability of spinning a 0, 1, 2 or 3 is 2/8, 1/8, 2/8 or 3/8 which becomes 0.25, 0.125, 0.25 or 0.375 respectively. Therefore, the answer is the second table.

Answer:

90°

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is 90 deg.

There are three 90-deg angles in the quadrilateral, so the 4th angle must also measure 90 deg.

Answer: 90°

Based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

The tangent theorem states that an angle of 90 degrees is formed at the point of tangency where a tangent meets the radius of a circle.

YX and WX are tangents of the circle.

m∠Y = m∠W = 90°

Sum of interior angles of a quadrilateral is 360°

m∠X = 360 - 90 - 90 - 90

m∠X = 90°

Therefore, based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

Learn more about the tangent theorem on:

https://brainly.com/question/9892082

Answer:  x = 4/5

Step-by-step explanation:

[tex]\tan\ y=\dfrac{\text{side OPPOSITE y}}{\text{side ADJACENT to y}}=\dfrac{1}{6}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \dfrac{x}{x+4}=\dfrac{1}{6}\\\\\\\text{Cross multiply, distribute, and solve for x:}\\6(x)=1(x+4)\\6x=x+4\\5x=4\\\\\large\boxed{x=\dfrac{4}{5}}[/tex]

Answer:

80 m

Step-by-step explanation:

Given :-

One side of rhombus = 20 m.

[ as one of the property of rhombus = all sides are equal ]

So, perimeter of rhombus = sum of all sides

= 20+20+20+20 = 80 m

...........................OR............................

Perimeter of rhombus = 4 × side

= 4 × 20 = 80 m

Hence, the perimeter of the rhombus is 80m.

Answer:

The perimeter is 80 meters

Step-by-step explanation:

The geometric characteristic of a rhombus is that it has 4 equal sides, then if one side measures 20 m, then each of the other sides measure also 20 m.Then its perimeter (addition of all the sides must render: 4 * 20 m = 80 m

Answer:

greater than or equal to -36

Step-by-step explanation:

2x >= -36-16

2x >= -52

x >= -26

Answer:

x = -9

Step-by-step explanation:

2x + 8 = -10

2x = -8 -10

2x = -18

x = -9

Answer:

we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10

Step-by-step explanation:

From the given information;

Sample  size n = 12

the probability of passing a student who guesses on every question is less than 0.10

In a alternative - response question (true/false) question, the probability of answering  a question correctly  = 1/2 = 0.5

Let X be the random variable that is represent number of correct answers out of 12.

The X [tex]\sim[/tex] BInomial (12, 0.5)

The probability mass function :

[tex]P(X = k) = \dfrac{n!}{k!(n-k)!} \times p^k\times (1-p)^{n-k}[/tex]

[tex]P(X = 12) = \dfrac{12!}{12!(12-12)!} \times 0.5^{12}\times (1-0.5)^{12-12}[/tex]

P(X = 12) = 2.44 × 10⁻⁴

[tex]P(X = 11) = \dfrac{12!}{11!(12-11)!} \times 0.5^{11}\times (1-0.5)^{12-11}[/tex]

P(X =11 ) = 0.00293

[tex]P(X = 10) = \dfrac{12!}{10!(12-10)!} \times 0.5^{10}\times (1-0.5)^{12-10}[/tex]

P(X = 10) = 0.01611

[tex]P(X = 9) = \dfrac{12!}{9!(12-9)!} \times 0.5^{19}\times (1-0.5)^{12-9}[/tex]

P(X = 9) = 0.0537

[tex]P(X = 8) = \dfrac{12!}{8!(12-8)!} \times 0.5^{8}\times (1-0.5)^{12-8}[/tex]

P(X = 8)  = 0.12085

[tex]P(X = 7) = \dfrac{12!}{7!(12-7)!} \times 0.5^{7}\times (1-0.5)^{12-7}[/tex]

P(X = 7) = 0.19335

.........

We can see that,a t P(X = 9) , the probability is 0.0537 which less than 0.10 but starting from P(X = 8) downwards the probability is more than 0.01

As such, we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10

Answer:

12 ^ 1/2 or [tex]\sqrt{12}[/tex]

Step-by-step explanation:

12^2

We want to do the inverse operation, which is the square root

We can write the square root as

^ 1/2  or as [tex]\sqrt{ }[/tex]

So the inverse of squaring 12 is

12 ^ 1/2 or [tex]\sqrt{12}[/tex]

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

Explanation:

Both of these represent the same idea. Square root notation is probably what you're more familiar with. It turns out that raising any positive number to the 1/2 power is the same as a square root. We can write

[tex]\sqrt{x} = x^{1/2}[/tex]

The 1/2 power notation may seem more clunky or confusing, but its helpful to extend to things like cube roots, fourth roots, etc.

The more general rule is

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

which says the nth root of x is the same as x^(1/n).

Answer:

48

Step-by-step explanation:

52-4=48

hope this helps

Answer:

a) m∠BPD = 120°

b) m∠BC + m∠AD = 120°

Step-by-step explanation:

a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:

The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.

The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2

The larger exterior arc (m∠BD) = 170°

The small exterior arc (m∠CA) = 70°

m∠BPD = m∠BD + m∠CA/2

m∠BPD = 170° + 70°/2

= 240°/2

= 120°

b) We are to find m∠BC + m∠AD

The sum of exterior angles in a circle = 360°

360° = m∠BD + m∠CA + m∠BC + m∠AD

360° = 170° + 70° + m∠BC + m∠AD

360° = 240 + m∠BC + m∠AD

360 - 240° = m∠BC + m∠AD

Thererefore,

m∠BC + m∠AD = 120°

Answer:

1. m∠BPD = 120°

2. m∠BC + m∠AD = 120°

Answer:

I believe the answer is d

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

In this case, since [tex]\sqrt{81}[/tex] can be simplified to 9 and 9 can be written as a fraction (9/1) it is a rational number.

Answer:

what are the items

Step-by-step explanation:

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

Answer:

30.0g

Step-by-step explanation:

In order to determine the amount of each chemical to the nearest tenth of gram prior to computing the sum is shown below:

Like

10.357, 57 > 50, rounded to 10.4

12.062, 62 > 50, rounded to 12.1

7.506, 06 < 50, rounded to 7.5

Now

The Sum is

= 10.4g + 12.1g + 7.5g

= 30.0g

Hence, 30.0g medicine required to make in grams

Answer:

[tex]\large \boxed{\mathrm{-1}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{-1}[/tex]

Apply radical rule:

[tex]\sqrt[n]{-1}=-1[/tex]

If [tex]n[/tex] is odd.

[tex]\sqrt[3]{-1}=-1[/tex]

Answer:

exact arc length = 21pi

approximate arc length (using calculator) = 65.9734457253857

approximate arc length (using 3.14 for pi) = 65.94

units are in feet

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

Work Shown:

L = (x/360)*2*pi*r

L = (315/360)*2*pi*12

L = 21pi = exact arc length in terms of pi

If you use your calculator's stored version of pi, then L is approximately

L = 21pi

L = 65.9734457253857

Or if you end up using pi = 3.14, then

L = 21*pi

L = 21*3.14

L = 65.94

Fairly close to the other approximation though a bit off because pi = 3.14 is just a rough approximation.