What is the Constant for 8x+6

Answer:

-2/5

Step-by-step explanation:

You can solve this by doing that rise/run

rise/run = -2/5

Slope = -2/5

Answer: C

Step-by-step explanation:

In the algebraic term, there are a number and a variable, the number is called the coefficient of the variable

EX: 2x is an algebraic term, where 2 is the coefficient of x

In the given polynomial

There are 4 algebraic terms

The coefficient of each term in the number before the variable

If there is no number that means the coefficient is 1

Since there is no number before x^3, then

Its coefficient is 1

The answer is D

Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Answer:

f(1·2)

Step-by-step explanation:

Subbing x=1 (f(1)) into the original function f(x)=a^x will give f(1)=a^1 which is simply equal to a. Therefore, if we were to do [f(1)]^2, we would just get a^2 because f(1) is equivalent to a. Out of the choice.s present, only f(1·2) is equal to a^2, because a^(1·2)=a^2

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer:

I'm assuming 45−−√ is \(\sqrt{45}\), and that it belongs to the subset of irrational numbers.

16/5 is a rational number, and -1 is an integer.

All numbers belong to the subset of real numbers.

Step-by-step explanation:

Hope this helped!

Answer:

3 : 4 : 7

Step-by-step explanation:

apple juice - 2/7 = 4/14

orange juice - 1/2 = 7/14

AJ + OJ = 11/14

this means that 3/14 of the punch is cranberry juice.

cranberry : apple : orange

3 : 4 : 7

Answer: yes

Step-by-step explanation:

25 divided by 4 1/4 = 5 15/17

hope this helps :)

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Therefore, the equation is satisfied when the point (cos(theta), sin(theta)) lies on the circle with center (1, 0) and radius 1.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. There are many equations in trigonometry that relate these values. Here are a few examples:

The Pythagorean theorem: In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as \(a^2 + b^2 = c^2\), where a and b are the lengths of the legs (the two sides that meet at the right angle), and c is the length of the hypotenuse.

The sine, cosine, and tangent functions: These functions relate the angles of a right triangle to the ratios of the lengths of its sides. Specifically:

Let's simplify the left-hand side of the equation first:

\((sec(theta) - tan theta) / (sec(theta)) + (tan theta + sec(theta)) / (tan theta)\)

\(= [(1/cos(theta)) - (sin(theta)/cos(theta))] / (1/cos(theta)) + [(sin(theta)/cos(theta)) + (1/cos(theta))] / (sin(theta)/cos(theta))\)

= [(1 - sin(theta)) / cos(theta)] / (1/cos(theta)) + [(sin(theta) + 1) / cos(theta)] / (sin(theta)/cos(theta))

\(= (1 - sin(theta)) + (sin(theta) + 1) / sin(theta)\)

\(= 2 + 1/sin(theta)\)

Now let's simplify the right-hand side:

\(2 + cos(theta) * cot(theta)\)

\(= 2 + cos(theta) * (cos(theta) / sin(theta))\)

\(= 2 + cos^2(theta) / sin(theta)\)

Since we want to show that the left-hand side is equal to the right-hand side, we can simplify the right-hand side to have a common denominator with the left-hand side:

\(2 + cos^2(theta) / sin(theta)\)

\(= (2sin(theta) + cos^2(theta)) / sin(theta)\)

Now we can compare the two sides:

\(2 + 1/sin(theta) = (2sin(theta) + cos^2(theta)) / sin(theta)\)

Multiplying both sides by sin(theta), we get:

\(2sin(theta) + 1 = 2sin^2(theta) + cos^2(theta)\)

Rearranging terms, we get:

\(2sin^2(theta) - 2sin(theta) + cos^2(theta) - 1 = 0\)

We recognize this as the equation of a circle:

\((x - 1)^2 + y^2 = 1\)

where x = cos(theta) and y = sin(theta)

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Answer:

10

Step-by-step explanation:

each tick mark is worth 5

there is the -10, then one to the right is -5, next is 0, next is 5, next one (the one where the x is) 10, next 15, next 20.

The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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You should write down and track only the 20lbs weight during your weighted exercise while ignoring your body weight.

Actual weight is also referred to as gross weight and it can be defined as the exact (original) weight of an object, as measured using an appropriate weighing scale.

This ultimately implies that, you would write down and track only the 20lbs weight during your weighted exercise such as a single rep of weighted overhand chin ups.

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Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.

d = √((x - 5)² + (0 - (-8))²)

Simplifying:

d = √((x - 5)² + 64)

Now, we want the distance d to be equal to 16 units. So, we set up the equation:

16 = √((x - 5)² + 64)

Squaring both sides of the equation to eliminate the square root:

16² = (x - 5)² + 64

256 = (x - 5)² + 64

Subtracting 64 from both sides:

192 = (x - 5)²

Taking the square root of both sides

√192 = x - 5

±√192 = x - 5

x = 5 ± √192

Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:

Point 1: (5 + √192, 0)

Point 2: (5 - √192, 0)

In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).

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Answer:

5

Step-by-step explanation:

It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.

Answer:

scale factor = 1.5

Step-by-step explanation:

15 / 10 = 1.5

10 * 1.5 = 15

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

\( \bf \large City \: A \: = \frac{69000}{52000} => 1.33\)

\( \bf \large City \: B = \frac{110000}{90000} => 1.22\)

\( \large\implies \bf1.33 > 1.22\)

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Answer:

opis is false and q is false

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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Answer:

a number question's answer is a power 2. and is c power 1

a. F is concave up on (-∞, 0) ∪ (6, ∞) and concave down on (0, 6).

b. The inflection points are (0, -2) and (6, -226).

a) To determine the intervals of concavity, we need to find the second derivative of f:

f(x) = (x⁴)/4-3x³-2f'(x) = x³ - 9x²f''(x) = 3x² - 18x

The second derivative f''(x) is a polynomial. We need to find the values of x for which f''(x) is zero or undefined.3x² - 18x = 3x(x - 6)f''(x) = 0 when x = 0 or x = 6.

Now we can determine the intervals of concavity by testing the sign of f''(x) in each interval:

Interval (-∞, 0):f''(-1) = 3(-1)² - 18(-1) = 21 > 0, so f is concave up on (-∞, 0).

Interval (0, 6):f''(1) = 3(1)² - 18(1) = -15 < 0, so f is concave down on (0, 6).

Interval (6, ∞):f''(7) = 3(7)² - 18(7) = 63 > 0, so f is concave up on (6, ∞).

Therefore, f is concave up on (-∞, 0) ∪ (6, ∞) and concave down on (0, 6).

B. The inflection points occur where the concavity changes, which are at x = 0 and x = 6.

The ordered pairs for the inflection points are (0, f(0)) and (6, f(6)).

f(0) = -2 and f(6) = -226, so the inflection points are (0, -2) and (6, -226).

c) To find the critical points, we need to find the values of x for which f'(x) = 0 or f'(x) is undefined:

f'(x) = x³ - 9x² = x²(x - 9)

f'(x) = 0

when x = 0 or x = 9.f''(0) = 0,

so we can use the First Derivative Test to determine that f has a relative maximum at x = 0.f''(9) = 36 &

gt; 0 so we can use the Second Derivative Test to determine that f has a relative minimum at x = 9.

Therefore, the relative extrema are:

Relative maximum at x = 0.

Relative minimum at x = 9.

d) To find where f'(x) has relative maxima and minima, we need to find the values of x for which f''(x) = 0 or f''(x) is undefined:

f''(x) = 3x² - 18x = 3x(x - 6)f''(x) = 0 when x = 0 or x = 6.

We can use the First Derivative Test to determine the nature of the relative extrema:

For x &

lt; 0, f'(x) is negative, then f'(x) is increasing from negative to zero as x approaches 0 from the left.

Therefore, f'(x) has a relative minimum at x = 0.

For 0 < x < 6, f'(x) is positive, then f'(x) is increasing from zero to positive as x increases.

Therefore, f'(x) has a relative maximum at x > 0.

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a. F is concave up on (-∞, 0) ∪ (6, ∞) and concave down on (0, 6).

b. The inflection points are (0, -2) and (6, -226).

How to determine the intervals of concavity?

a) To determine the intervals of concavity, we need to find the second derivative of f:

f(x) = (x⁴)/4-3x³-2f'(x) = x³ - 9x²f''(x) = 3x² - 18x

The second derivative f''(x) is a polynomial. We need to find the values of x for which f''(x) is zero or undefined.3x² - 18x = 3x(x - 6)f''(x) = 0 when x = 0 or x = 6.

Now we can determine the intervals of concavity by testing the sign of f''(x) in each interval:

Interval (-∞, 0):f''(-1) = 3(-1)² - 18(-1) = 21 > 0, so f is concave up on (-∞, 0).

Interval (0, 6):f''(1) = 3(1)² - 18(1) = -15 < 0, so f is concave down on (0, 6).

Interval (6, ∞):f''(7) = 3(7)² - 18(7) = 63 > 0, so f is concave up on (6, ∞).

Therefore, f is concave up on (-∞, 0) ∪ (6, ∞) and concave down on (0, 6).

B. The inflection points occur where the concavity changes, which are at x = 0 and x = 6.

The ordered pairs for the inflection points are (0, f(0)) and (6, f(6)).

f(0) = -2 and f(6) = -226, so the inflection points are (0, -2) and (6, -226).

c) To find the critical points, we need to find the values of x for which f'(x) = 0 or f'(x) is undefined:

f'(x) = x³ - 9x² = x²(x - 9)

f'(x) = 0

when x = 0 or x = 9.f''(0) = 0,

so we can use the First Derivative Test to determine that f has a relative maximum at x = 0.f''(9) = 36 &

gt; 0 so we can use the Second Derivative Test to determine that f has a relative minimum at x = 9.

Therefore, the relative extrema are:

Relative maximum at x = 0.

Relative minimum at x = 9.

d) To find where f'(x) has relative maxima and minima, we need to find the values of x for which f''(x) = 0 or f''(x) is undefined:

f''(x) = 3x² - 18x = 3x(x - 6)f''(x) = 0 when x = 0 or x = 6.

We can use the First Derivative Test to determine the nature of the relative extrema:

For x &

lt; 0, f'(x) is negative, then f'(x) is increasing from negative to zero as x approaches 0 from the left.

Therefore, f'(x) has a relative minimum at x = 0.

For 0 < x < 6, f'(x) is positive, then f'(x) is increasing from zero to positive as x increases.

Therefore, f'(x) has a relative maximum at x > 0.

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