8th grade Mathematics

A line has a slope of -3 and a y-intercept of 3.

What is the slope of the line?

O. -9
O. -1
O. 1
O. 9

I appreciate all of your answers even if they are wrong, thanks!! :)
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Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)

In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'

We need to write an equation for the given math sentence.

Given math sentence: one fourth times the difference of ten and a variable

Let the variable be 'x'

We rewrite above statement as,

one fourth times the quantity ten minus x

⇒ 1/4 × (10 - x)

so, we get an expression 1/4 (10 - x)

Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)

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Answer:

.

.

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There are three possible positive and one negative root for the equation.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

We have been given the equation as

⇒ -4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0

Check the polynomial "as is" for positive zeros, the symbol changes three times. This means that you might either have one or three positive zeros. If they are imagined, they will depart in pairs.

So changes signs 3 times: possible positive roots 3 or 3-2=1

The polynomial must be rewritten as  [tex]f(-x)[/tex] for negative zeroes, or

⇒ -4x⁶ + 3x⁵ + 2x² + 4x + 1

This polynomial changes signs just once, So There will have 1 negative zero.

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The question seems to be incomplete the correct question would be

According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation

-4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0

Answer:

the number is 53611

Step-by-step explanation:

mark me brainliest hope this answer helps

Answer: B

Step-by-step explanation: B

Answer:

8x+5=hx-8

collect like terms (values that are alike in one place)

8x-hx = -8-5

8x-hx = -13

8x -hx+13 =0

factorize

x(8-h) + 13 =0

we can't do nothing to it anymore I think

The expression which is equivalent to the given expression is option B. 3(5)^1/2

A surd is a topic which involves expressing a given number with a square root. Thus to arrive at the final expression, the answer is either a whole number or an expression involving a square root.

When a question involving a square root is given, the answer is a number which should be squared to give the same value in the given question.

Given: 45^1/2

we have;

45^1/2 = (5 x 9)^1/2

           = 3(5)^1/2

So that the expression which is equivalent to the given expression is option B. 3(5)^1/2

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The expression that is equivalent to the given surd expression is; Option B. 3√5

In Mathematics, surds are defined as the values in square root that cannot be further simplified into whole numbers or integers. Thus, surds can be classified as  irrational numbers.

The question gives the surd expression as √45.

Now, according to surds product rule, we know that;

√45 = √(9 * 5)

= √9 * √5

= 3√5

Thus, we conclude that is the final simplification of the given surd expression.

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Answer: When students register online, the question appears in a pop-up window that must be answered in order to proceed with registering. If students register in person, make them answer the question before their registration is processed.

Step-by-step explanation:

9990000 are 7 digit phone number combinations are possible.

what is permutation and combination?

Find every 7-digit phone number combination that exists first.

Given that the digit can be repeated, a total of 107 combinations are available.

The next step is to identify all conceivable combination of seven-digit numbers that begin with "911."

since it begins with "911" Therefore, there are just 4 digits left. 104 combinations are thus feasible in total.

The total number of potential combinations that begin with "911" is then subtracted.

We finally get

10⁷  - 10⁴

= ( 10³ - 1 ) ×  10⁴

= 999 × 10⁴

= 9990000

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keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]2x-y=6\implies -y=-2x+6\implies y=\stackrel{\stackrel{m}{\downarrow }}{2} x-6\leftarrow \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 2 and it passes through (-4 , -6)

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-4)}) \implies y +6= 2 (x +4) \\\\\\ y+6=2x+8\implies y=2x+2[/tex]

Answer:

22.

Step-by-step explanation:

22-7=15.

Answer:

Yes

Step-by-step explanation:

30/3=10

10 is a whole number, so it is a natural number.

The dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

The perimeter of rectangle is expressed as;

P = 2( l + w )

Given the data in the question;

Let x represent the width of the rectangular base.

Plug these values into the equation above.

P = 2( l + w )

810 = 2( (3x-75) + x )

810 = 6x - 150 + 2x

810 = 8x - 150

8x = 810 + 150

8x = 960

x = 960/8

x = 120

Hence,

Width of the rectangle = x = 120ft

Length of the rectangle = 3x-75 = 3(120) - 75 = 285ft

Therefore, the dimensions of the rectangular base of the building with the given perimeter are 120ft and 285ft.

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It should be noted that the value of 98.3 x 104.7 will be 10292.01.

It should be noted that the first method will be to multiply the values directly. This will be:

= 98.3 x 104.7

= 10292.01

The second method will be to convey them to the nearest while number and multiply. This will be

= 98.3 × 104.7

= 98 × 105

= 10290

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The rate of reaction will increase by a factor of 4. The correct option is D.

In a reaction mechanism, a chemical reaction is depicted step-by-step. It is composed of separate chemical processes known as elementary stages. An elementary reaction is one that only requires one step to complete.

In an elementary reaction, the orders relative to each reactant are equal to the stoichiometric coefficient of that reactant. A provided rate law must be consistent with both the experimental rate law and the overall rate law that is being suggested.

The rate of reaction will be calculated as below:-

Rate (R) = k[x][y]²

R' = k[x][2y]²

R'=4k[x][y]²

R'=4R

Hence, the rate of reaction will increase by a factor of 4.

The complete question is given below:-

Given the following rate law, how does the rate of reaction change if the concentration of Y is doubled? Rate = k [X][Y]2

A) The rate of reaction will increase by a factor of 2.

B) The rate of reaction will increase by a factor of 5.

C) The rate of reaction will increase by a factor of 4.

D) The rate of reaction will decrease by a factor of 2.

E) The rate of reaction will remain unchanged.

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22 ml of rboh is titrated with 35 ml of 0.9 m hf. The concentration of the base is 1.43M.

Titration is a method of chemical analysis in which the amount of a sample's ingredient is determined by adding an exact known amount of a different substance to the measured sample in which the desired constituent interacts in a specific, known proportion. Titrating reagent, or titrant, is often added to a standard solution (i.e., a solution of known concentration) using a burette, which is essentially a long, graduated measurement tube with a stopcock and a delivery tube at its bottom end. When the equivalence point is achieved, the addition is terminated.

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Answer:

1 5/6

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

p=1 pie

p divided by 7 is p/7 ==> 1/7

Each friend get 1/7 of the pie.

Since Omar only has half of the pie left and needs to share it equally among his 7 friends, we'll need to divide.

So, a pie has 6 pieces and Omar has only 3 pieces left.

Then, we divide 3 by 7. This gives us a REALLY long decimal so we would have to round.

The rounded answer would be 0.43.

Finally, each friend will get forty-three hundredths of the pie that is left.

Answer:0.81285714285

Step-by-step explanation: bc you are deviding by a desimal

If you want to solve for y, then you would get y = -2x-9

This is the result after subtracting 2x from both sides. This is so we can undo the +2x that happens to the y variable.

Answer:

Infinitely many solutions (If its solved by systems of equations)

y = -2x - 9 (if you ONLY want to solve for y)

Step-by-step explanation:

Well you can solve this is 2 ways. Substitution and Elimination

SUBSTITUTION

2x + y = -9

2x+y=-9

Step 1: Solve 2x+y =−9 for y:

2x+y=−9

2x+y+−2x=−9+−2x(Add -2x to both sides)

y=−2x−9

Step: Substitute −2x−9 for y in 2x+y=−9:

2x+y=−9

2x+−2x−9=−9

−9=−9(Simplify both sides of the equation)

−9+9=−9+9(Add 9 to both sides)

Final answer -----> 0=0

ELIMINATION

2x + y = -9

2x+y=-9

Step 1: Multiply the second equation by -1, then add the equations together.

(2x + y = -9)

-1(2x+y=-9)

Which then becomes:

2x + y = -9

-2x - y = 9

Step 2: Add these equations to eliminate x:

Final answer -----> 0 = 0

Answer:

See below

Step-by-step explanation:

A function is continuous within an interval if its first derivative exists
[tex]\text{The first derivative of }\dfrac{2x+3}{x\:-\:2} = \dfrac{d}{dx}\left(\dfrac{2x+3}{x\:-\:2}\right) = -\dfrac{7}{\left(x-2\right)^2}[/tex]

Let's call this first derivative g(x)

g(x) is defined at all values of x except at x=2 since at this value the denominator becomes 0 and g(x) is not defined.

So the function has a discontinuity at x = 2

But in the interval (2, ∞ ) the function g(x)  always has a real value so f(x) is continuous in that interval

The Average Rate of change of a function f on the interval [a , b] is given by

[tex]r=\frac{f(b) - f(a)}{b-a}[/tex]

Now, the given interval is [1, 5]

⇒ b=5 and a = 1

Since, the graph passes through (1, 3) and (5, 5)

⇒ f(1) = 3 and f(5) = 5

Thus,

[tex]r=\frac{f(5) - f(1)}{5-1}[/tex]

[tex]r=\frac{5- 3}{4}[/tex]

[tex]r=\frac{2}{4}[/tex]

[tex]r=\frac{1}{2}[/tex]

[tex]r=0.5[/tex]

∴ The Average Rate of change of the graph is equal to 0.5

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Answer: 83

Step-by-step explanation:

you travill 25 feet long

Answer:

8 cups

Step-by-step explanation:

Amount of cups of dough for each dumpling × Number of dumplings = Number of cups of dough

1/2 × 16 = 8

8 is the simplest form; cannot be simplified.

Hope this helps! ^^

(-1/5, 37/70) are the coordinates of a point 7/10 of the way between A and B.

Let P be the point 7/10 of the way from A to B. This implies that it partitions P in the 7:10 ratio (AP/PB = 7/10).

Should use section formula to find the coordinates, which is given as:

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Where,

(x₁, y₁) = A(-4, -7)

(x₂, y₂) = B(11, 5)

m = 7 and n = 10.

Put the values to obtain the x and y coordinates of point P.

y = (7×5 + 10(-7))/(7 +10)

On solving;

y = -1/2

Solve for x coordinates;

x = (7(11) + 10(-4))/(7 +10)

on solving;

x = 37/70

Therefore, the coordinates of a point 7/10 a way from A and B is (-1/5, 37/70).

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Answer:16

Step-by-step explanation:

subtract the old number by the new number

197-181=16