Which is the equation of the given line? (-10,-7) (3,-7)

Answer:

Quotient: y^2 -2y +3

Remainder = 0

Step-by-step explanation:

We need to solve he equation:

y^3-4y^2+7y-6 ÷ y -2

It is solved in the figure attached below:

After solving we get

Quotient: y^2 -2y +3

Remainder = 0

Answer

B. 4/5

Explanation

Since Clarissa has 20 DVDs, it is safe to assume that the denominator will be 20 since that is the complete total.

She also owns 16 comedy movies which is the numerator.

So far, the fraction we have is 16/20

Now reduce that number into simplest terms

16/4 = 4

20/4 = 5

4/5

Answer:

A. he held the tube iver the flame too long

Final answer:

The cracking of the test tube could have been caused by thermal shock due to overheating one side of the test tube by holding it over the flame for too long, or by heating an empty test tube meant for containing liquids.

Explanation:

When heating substances in a test tube, such as in a chemistry lab, it's important to take certain precautions to prevent accidents, such as the cracking of the test tube. One potential cause for a test tube to crack is thermal shock, which can occur if the test tube is heated too quickly or unevenly. This brings us to option A: 'He held the test tube directly over the flame for too long'. Holding a test tube directly in the flame can cause one side to expand more rapidly than the other due to the heat, leading to stress and cracking, particularly if the glass isn't designed to withstand rapid temperature changes. To avoid this, the test tube should be moved in and out of the flame to heat it gently and evenly, and a boiling chip can be used to prevent superheating and ensure smooth boiling.

Option B suggests another possibility: 'He did not add water to the test tube'. While not adding water to a test tube might not directly cause it to crack, if the test tube was meant to contain a liquid and was instead heated while empty, the glass could become too hot and weaken, increasing the chance of breaking. It's always important to follow specific instructions for each experiment, including whether or not to add substances to the test tube.

Both scenarios emphasize the importance of careful temperature control when heating glassware to avoid breakage from thermal stress.

Answer:

[tex]\large\boxed{x=\dfrac{-9\pm\sqrt{41}}{2}}[/tex]

Step-by-step explanation:

[tex]\text{The quadratic formula of}[/tex]

[tex]ax^2+bx+c=0[/tex]

[tex]\text{If}\ b^2-4a<0,\ \text{then the equation has no solution}\\\\\text{If}\ b^2-4ac=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ b^2-4ac>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\=========================================[/tex]

[tex]\text{We have}\ x^2+9x+10=0\\\\a=1,\ b=9,\ c=10\\\\\text{substitute:}\\\\b^2-4ac=9^2-4(1)(10)=81-40=41>0\qquad _{\text{two solutions}}\\\\\sqrt{b^2-4ac}=\sqrt{41}\\\\x=\dfrac{-9\pm\sqrt{41}}{2(1)}=\dfrac{-9\pm\sqrt{41}}{2}[/tex]

Answer:

Step-by-step explanation:

Points to remember

solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

It is given that, x² + 9x + 10 = 0.

To find the solution

Here a = 1, b= 9 and c = 10

x = [-b ± √(b² - 4ac)]/2a

 = [-9 ± √(9² - 4*1*10)]/2*1

 = [-9 ± √(81 - 40)]/2

 =  [-9 ± √(41)]/2

 = [-9 ± √41]/2

Therefore the solution of given quadratic equation  =  [-9 ± √41]/2

Answer:

Option C.

Step-by-step explanation:

It is given that a box contains red, blue, green, purple, and yellow crayons such that the probability of drawing a purple crayon is 3/7.

We draw two crayons randomly such that both draws are independent.

Let X be a random variable that assigns the number of purple crayons to each outcome.

We need to find the range of X.

If no purple crayon is selected, then X=0

If 1 purple crayon is selected, then X=1

If 2 purple crayons are selected, then X=2

The range of X is {0,1,2}.

Therefore, the correct option is C.

On what I don’t see anything on here

The inside angle next to the 70 degrees would be 180 - 70 = 110 degrees.

The measure of an outside angle is equal the the sum of the two opposite inside angles.

X is an exterior angle and it's 2 opposite inside angles are 40 and 110.

X = 40 + 110 = 150 degrees.

The answer is E.

Answer:

1st option because those angles are a linear pair.

Answer:

∛x^4

Step-by-step explanation:

x^(4/3) = ∛x^4

Last option is the answer

To find the two numbers, we set up a system of equations and solve it to find the values of x and y.

To solve this problem, we can set up a system of equations. Let's represent the two numbers as x and y. Since the sum of the two numbers is 24, we can write the equation:

x + y = 24

Twice the smaller number, which is 2x, is 3 less than the larger number, so we can write the equation:

2x = y - 3

Now we can solve this system of equations using substitution or elimination method. Let's start with substitution method:

Therefore, the two numbers are 7 and 17.

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the two numbers are 7 and 17.

The problem states that the sum of two numbers is 24 and that twice the smaller number is 3 less than the larger number. Let's denote the smaller number as 'x' and the larger number as 'y'. According to the first condition, we have:

x + y = 24 ... (1)

For the second condition, twice the smaller number (2x) is 3 less than the larger number (y), so we have:

2x = y - 3 ... (2)

To find the two numbers, we solve these equations simultaneously. By rearranging equation (2), we get y = 2x + 3. Substituting this into equation (1), we have:

x + (2x + 3) = 24

3x + 3 = 24

3x = 24 - 3

3x = 21

x = 7

Now that we have the smaller number, we substitute x back into equation (1) to find the larger number:

7 + y = 24

y = 24 - 7

y = 17

Thus, the two numbers are 7 and 17.

ANSWER

y=(x+3)(x-1)(x-5)

EXPLANATION

The given polynomial has x-intercepts at x=-3,x=1,x=5

These are called the zeros of this polynomial.

We can use the factor theorem to obtain the polynomial in factored form.

The polynomial in factored form is of the form

y=a(x+3)(x-1)(x-5)

The polynomial rises on the left and keep rising on the right.

This implies that, the 'a' is positive.

Therefore

y=(x+3)(x-1)(x-5)

The correct choice is the first option.

Answer: y = (x + 3)(x - 1)(x - 5)

So in your case, it would be C.

[tex]\bf \cfrac{\textit{small prism}}{\textit{large prism}}\qquad \qquad \stackrel{~\hfill \textit{yes 1:4}}{\cfrac{18}{72}\implies \boxed{\cfrac{1}{4}}\qquad \cfrac{4}{16}\implies \boxed{\cfrac{1}{4}}\qquad \cfrac{3}{12}\implies \boxed{\cfrac{1}{4}}}[/tex]

The figures are same and the ratio of the adjacent sides of the small rectangular prism to big is 1:4 option first is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

As we can see in the figure two three-dimensional figures are given.

To know whether the two figures are similar or not we first find the ratio of the adjacent sides.

4/16 = 1/4

3/12 = 1/4

18/72 =1/4

The ratios are equal that's why the two figures are same, and the ratio is: 1:4

Thus, the figures are same and the ratio of the adjacent sides of the small rectangular prism to big is 1:4 option first is correct.

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The radius of the circle with a circumference of 12.56 inches is 2 inches, calculated using the formula C = 2πr and rearranging it to find the radius.

The circumference of a circle is given by the formula C = 2πr, where C stands for the circumference and r stands for the radius of the circle. The value of π (pi) is approximately 3.14159. Given the circumference of the circle as 12.56 inches, you can find the radius by rearranging the equation to r = C / (2π).

Now, let's calculate the radius using the given circumference:

r = 12.56 inches / (2 × 3.14159)

r = 12.56 inches / 6.28318

r = 2 inches

Therefore, the measure of the radius of the circle is 2 inches, which corresponds to option A.

To find the measure of the radius of the circle given its circumference, we can use the circumference formula of a circle, which is:
\[ C = 2 \pi r \]
Where \( C \) is the circumference, \( \pi \approx 3.14159 \), and \( r \) is the radius of the circle.
Now, we know the circumference (\( C \)) is 12.56 inches. We can solve for the radius (\( r \)) by rearranging the formula:
\[ r = \frac{C}{2 \pi} \]
Plugging the given circumference into the equation, we get:
\[ r = \frac{12.56}{2 \times \pi} \]
\[ r = \frac{12.56}{2 \times 3.14159} \]
\[ r = \frac{12.56}{6.28318} \]
\[ r = 2 \]
Rounding the result to two decimal places as may be required for some comparisons, we still get \( r = 2.00 \) inches.
Therefore, the measure of the radius of the circle is 2 inches, which corresponds to option A.

A. -3/8

B. -2/5, -1/2

Answer:

13.6

Step-by-step explanation:

I gave the same explanation on your previous question.

Answer:

The value of c is 10.9 ⇒ 3rd answer

Step-by-step explanation:

* Lets study the problem

* In ΔABC

- a, b, c are the lengths of its 3 sides, where

# a is opposite to angle A  ⇒ BC

# b is opposite to angle B  ⇒ AC

# c is opposite to angle C  ⇒ AB

- m∠C = 68°  

- a = 8 ⇒ side BC

- b = 11 ⇒ side AC

- Find the value of c ⇒ side AB

* We have the length of two sides and the measure of the

  including angle between them and we want to find the

  length of the side opposite to this angle then the cosine

  rule is the perfect way

∵ c² = a² + b² - 2ab cos(C)

∵ a = 8 , b = 11 and m∠C = 68°

∴ c² = (8)² + (11)² -2(8)(11) cos(68°)

∴ c² = 119.069 ⇒ take √ for both sides

∴ c = 10.9 units

* The value of c is 10.9

Answer:

x = -2

Step-by-step explanation:

In order to find the axis of symmetry, we will have to find the x-value of the vertex.

Vertex = (-b/2a, f(-b/2a))

In x² + 4x + 6,

a = 1 , b = 4 , c = 6

Vertex = (-4/2,f(-4/2))

Vertex = (-2,f(-2))

We have found the x-value of the vertex which is -2.

Hence, line/axis of symmetry is x = -2

The axis of symmetry for f(x) = [tex]x^2 + 4x + 6[/tex]  is -2.

Given that,

Based on the above information, the calculation is as follows:

Here we have to determine the x-value of the vertex.

[tex]Vertex = (-b\div 2a, f(-b\div 2a))[/tex]

Now as per the given equation i.e [tex]x^2 + 4x + 6[/tex]

Here,

a = 1 , b = 4 , c = 6

Now  

[tex]Vertex = (-4\div 2,f(-4\div 2))[/tex]

 = (-2,f(-2))

= -2

Therefore we can conclude that the axis of symmetry for f(x) = [tex]x^2 + 4x + 6[/tex]  is -2.

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How much money you will make is included in a financial plan to protect assets. Hence, option A is correct.

Financial plan is the compressive study and understanding of the financial goals with looking the current situation or current financial condition. Financial plan is the best way to achieve the targeted goal in life, as it give a map and blueprint to the person to go with.

Some of the strategies to make the financial plan -

Thus, option A is correct.

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Answer:

I know that A is correct

B the first part is correct, But the second part isnt.

C I dont know, not a good grapher

D would be correct if there was tax.

Step-by-step explanation:

Answer:A,B,D are correct!

Step-by-step explanation:

ANSWER

First choice

EXPLANATION

The graph of f(x) and

[tex] {f}^{ - 1} (x)[/tex]

are symmetric about the line y=x.

This means that the graph of

[tex]{f}^{ - 1} (x)[/tex]

is the reflection of f(x) in the line y=x.

This explains why the composition of a function and its inverse yields x, as the result.

The first choice is correct.

Answer:

9/4 (Answer 2)

Step-by-step explanation:

Take half the coefficient of x and square that result:

(1/2)(-3) = -3/2

Squaring this, we get 9/4 (Answer 2)

To create a perfect square trinomial [tex]\frac{9}{4}[/tex] should be placed in the space shown in x^2 - 3x +___

The trinomial equation is of the form
[tex]x^{2}[/tex] - 2ax + [tex]a^{2}[/tex]

given equation is [tex]x^{2}[/tex] - 3x + _

comparing the two equation

2ax = 3x

a = [tex]\frac{3}{2}[/tex]

[tex]a^{2}[/tex] = [tex]\frac{9}{4}[/tex]

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

Therefore, option 2) 9/4 is the correct answer

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Answer:

Step-by-step explanation:

4,3

Answer:

D. The last one

Step-by-step explanation:

When you convert measures into m³ the measurement is the SAME but it changed from cm to m. That's it.

Answer:

48 in³

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

V = [tex]\frac{1}{3}[/tex] × area of base × height

here area of base = 24 and height = 6, so

V = [tex]\frac{1}{3}[/tex] × 24 × 6 = 8 × 6 = 48 in³

Answer:

It is answer C

Step-by-step explanation:

Answer:

C.) y = x^2 -5

Step-by-step explanation:

The table pair (x, y) = (0, -5) tells you that the constant will be -5. Only answer choice C has that value for the constant.

___

You can check other (x, y) values in the rule to see that they work.

Answer:

the solution is (5, 6)

Step-by-step explanation:

Please reserve " × " for representing multiplication, and " x " as a variable name.

Starting with the system

6x-5y= 0  

4×-5y = -10​

multiply the 2nd equation by -1.  This results in the system

6x - 5y  = 0  

-4x + 5y = 10

and combining these two equations results in

​ 6x - 5y  = 0  

-4x + 5y = 10

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

2x         = 10, or x = 5.

Substituting 5 for x in the first equation, we get

6(5) - 5y = 0, or 5y = 30.  Then y = 6, and the solution is (5, 6).

Answer:

x=35

Step-by-step explanation:

These are alternate interior angles.  Since a and b are parallel, they are equal

5x - 54 = 3x+16

Subtract 3x from each side

5x-3x -54 = 3x -3x +16

2x -54 = 16

Add 54 to each side

2x-54+54 = 16+54

2x = 70

Divide each side by 2

2x/2 = 70/2

x = 35

Answer:

Step-by-step explanation:

38. b. the mode would decrease

39. 4 since it is the middle point by count of x

Answer:

1)   the mean would basically decrease so its B

2) the balanced point would be 4 as the two numbers 4 and 4 come in the middle.

~batmans wife dun dun dun....

Answer: 25

Form a proportion. Let x be the missing term.

[tex]\frac{60}{144} = \frac{x}{60}[/tex]

Solve for x by cross-multiplying.

[tex]144x = 60(60)\\144x = 3600\\x = 25[/tex]

Answer:

Step-by-step explanation:

The formula of a Surface Area of a sphere:

[tex]S.A.=4\pi R^2[/tex]

R - radius

We have

[tex]S.A.=1024\pi\ in^2[/tex]

Substitute:

[tex]4\pi R^2=1024\pi[/tex]               divide both sides by π

[tex]4R^2=1024[/tex]             divide both sides by 4

[tex]R^2=256\to R=\sqrt{256}\\\\R=16\ in[/tex]

To find the radius of a sphere when you are given the surface area, you can use the formula for the surface area of a sphere, which is:
\[ \text{Surface area of a sphere} = 4 \pi r^2 \]
where \( r \) is the radius of the sphere. Now, let's solve for \( r \) using the surface area provided:
We are given that the surface area is \( 1024 \pi \) square inches, so we set that equal to the formula for the surface area:
\[ 1024 \pi = 4 \pi r^2 \]
To solve for \( r^2 \), we first divide both sides of the equation by \( 4 \pi \):
\[ \frac{1024 \pi}{4 \pi} = \frac{4 \pi r^2}{4 \pi} \]
On simplifying the left-hand side and cancelling \( 4 \pi \) from the right-hand side, we get:
\[ 256 = r^2 \]
Now, to solve for \( r \), we take the square root of both sides:
\[ r = \sqrt{256} \]
This results in:
\[ r = 16 \]
So, the radius of the sphere is 16 inches.

Answer:

C ≈ 56.55

Step-by-step explanation:

First I translated this into English.

"Find the circumference of a circle whose diameter is 18 cm."

Formula:

C = 2πr

Translated in Spanish:

Primero tienes que dividir la circunferencia por dos. Luego lo enchufas en la fórmula para "R" y resuelves.

English Translation:

First you have to divide the circumference by two. Then you plug it into the formula for "R" and solve.