Write the equation of the piecewise function whose graph is shown

Please help will give brainlist only if correct!

Answer:

Step-by-step explanation:

b

Answer:618.014

Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.

The area of the shape with parallel sides is 35 unit² of trapezoid .

Describe the trapezoid shape?

A = (1/2) * (a + b)h

Where a, b is the length of the parallel sides and h is the height of the trapezoid.

Given that a = 8, b = 6 and h = 5, hence:

A = (1/2) * (8 + 6) * 5 = 35 unit²

The area of the shape with parallel sides is 35 unit².

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Answer and Step-by-step explanation:

A root is considered a real root if it is not an imaginary number (a number in the form of a + bi, where i is a number that is not on the real number line, hence the name: imaginary). Let's inspect the given polynomials.

1. (x-4)(x+3)^2(x-1)^3=0, the equation implies

x – 4 = 0 or (x + 3)^2 = 0 or (x – 1)^3 = 0, this gives:

x = 4

x = –3 twice

x = 1 thrice

They are all real numbers, therefore it has 6 real roots.

2. x^2(x^3-1)=0

x² = 0

x³ – 1 = x³ – 1³ = (x – 1)(x² + x + 1) = 0

The quadratic expressions gives 2 imaginary roots. To check this we can use the determinant formula.

D = b² – 4ac = 1² – 4(1)(1) = 1 – 4 = –3 < 0. This gives roots that are not real.

Therefore the real roots of this polynomial are: 0(twice) and 1. Hence, it has 3 real roots.

3. x(x+3)(x-6)^2=0

x = 0

x = 3

x = 6 twice

Thus, it has 4 real roots.

4. 3x(x^3-1)^2=0

3x = 0 and this gives x = 0

(x^3 – 1)² = [(x – 1)(x² + x + 1)]² = (x – 1)²(x² + x + 1)² = 0, only two roots are real here (the quadratic expression has unreal roots, therefore 1 twice are the real roots).

Therefore, this has 3 real roots.

5. (x^3-8)(x^4+1)=0

x³ – 8 = x³ – 2³ = (x – 2)(x² + 2x + 4) = 0

The only real root here is 2, the quadratic expression had imaginary roots and can be checked using the determinant formula

D = b² – 4ac = 2² – 4(1)(4) = 4 – 16 = – 12 < 0.

x⁴ + 1 = 0 has imaginary roots. Therefore, this polynomial has only one real root.

The probability of getting at least one card is a club from a deck of cards when a card is 3/4. Thus, option D is correct.

The deck of cards = 52 cards

The number of non-club cards = 13 +13 = 26 cards.

The probability of not choosing a club on the first draw = 26/52

The probability of not choosing a club on the second draw = 26/52

The probability of not choosing will be calculated so that we can estimate the probability of getting at least one card in a club.

The probability of not choosing a club on either draw = (26/52) x (26/52) The probability of not choosing a club on either draw = 676/2704

P(at least one club) = 1 - 676/2704 = 2028/2704 = 0.75

The value of 0.75 can be represented as 3/4 as a fraction value.

Therefore, we can conclude that the probability of getting the card at least one card is 3/4.

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

total number of ace=4

probability of getting an ace =4/52

=1/13

hope it helps you

The probability of choosing "an ace" from the pack of 52 cards is 1/13.

In mathematics, a random event's occurrence is called probability. The range of the value is 0 to 1.

By simply dividing the favourable number of outcomes by the entire number of possible outcomes, one can use the probability formula to determine the likelihood of an event.

Probability = Number of favourable outcome/ Number of total outcome

The total number of cards present in the standard deck of cards is 52.

Total number of ace present in the pack is 4.

So, the probability of getting an ace is = total number of ace /total number of card is deck

Probability = 4/52

Probability = 1/13

Therefore, the probability of getting an ace from the pack of well shuffled cards is 1/13.

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Answer:

-11x⁶

Step-by-step explanation:

-11x⁴ * x² = -11x⁶

**for multiplication just add the exponent power**

The equivalent expression in the form \(x^2 + rx + sx + 6\) is:

\(x^2 + 2x + 3x + 6\), which can be further factored as (x + 2)(x + 3).

To rewrite the expression \(x^2 + 5x + 6\) in the form \(x^2 + rx + sx + 6\), we need to find values for r and s such that the coefficients of the x terms match.

Given expression: \(x^2 + 5x + 6\)

To factorize this expression, we need to find two numbers that multiply to give 6 and add up to 5. The numbers that satisfy these conditions are 2 and 3.

Now, let's rewrite the expression using these values:

\(x^2 + 2x + 3x + 6\)

By grouping the terms, we can rewrite it as:

\((x^2 + 2x) + (3x + 6)\)

Factoring out the common terms in each group:

x(x + 2) + 3(x + 2)

Now, notice that (x + 2) appears as a common factor in both terms. We can further simplify the expression:

(x + 2)(x + 3)

Thus, the equivalent expression in the form \(x^2 + rx + sx + 6\) is:

\(x^2 + 2x + 3x + 6\), which can be further factored as (x + 2)(x + 3).

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Answer:

Step-by-step explanation:

25 + 14 / (5-3)

25 + 14 / 2

25 + 7

32

Answer:

y=6!

Step-by-step explanation:

you can easily see it on the graph. on the x axis, 2 is equivalent to 6

Answer:

When x is 2 y equals 6.

Step-by-step explanation:

You go right on the graph two units then go up the y axis till the line intersects the lines. In this case the graphed point is (2,6)

Answer:

25

Step-by-step explanation:

17+8

Answer:

To divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

For more examples and explanatTo divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

For dividing fractions:

Remember:

Keep Change Flip

Keep the first the same

Change the sign to multiplication

Flip the second fraction.

EX.

\(\frac{4}{5}\) ÷ \(\frac{1}{2}\)                           >Keep, Change Flip

=\(\frac{4}{5}\) * \(\frac{2}{1}\)                          >Now it's multiplication, reduce first if you can

                                    (nothing reduces in this problem), so mulitply

                                    across

= \(\frac{8}{5}\)

As per the perimeter the length of the shorter side is 10.5 feet and the length of the longer side is 73.5 feet.

The perimeter of a rectangle is the sum of the lengths of all its sides. If we know the perimeter of a rectangle and some information about the relationship between its sides, we can use that information to find the lengths of the sides.

Let's call the length of the shorter side "x".

The other side is seven times as long, so it is 7x.

The perimeter of the rectangle is 168 feet, so we have

=> 2x + 14x = 168.

Simplifying the equation, we have

=> 16x = 168.

Dividing both sides of the equation by 16, we find

=> x = 10.5.

So, the length of the shorter side is 10.5 feet and the length of the longer side is

=> 7x = 7 * 10.5 = 73.5 feet.

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Answer:

im not sure hmu if gets answered

Step-by-step explanation:

Answer:

SAS and not similar

Step-by-step explanation:

For the first one, the two triangles are similar (SAS) because the ratio of the two sides is the same (3:5) and the angle in between them is the same.

For the second one, the two triangles are not similar because if we look at the lengths of the sides which is the only information we have of them, we can see that their ratios are not the same.

We were told that each box contains 16 granola bars. This means that the number of boxes for 800 granola bars is

800/16 = 50

Option A is correct

Answer:

Maximum value: \((-1, \frac{7}{2})\)

Step-by-step explanation:

Given the quadratic function, f(x) = -½x² - x + 3

where a = -½, b = -1, and c = 3

Since the value of a is negative, then it means that the graph of the parabola opens downward. Therefore, its vertex is the maximum point.

The vertex of the parabola occurs at the point (h, k).

Axis of symmetry:  x = h.

The axis of symmetry is the imaginary straight line that passes through the x-intercept which divides a parabola into two symmetrical parts. To find the value of the h coordinate of the vertex (h, k), use the following formula:

\(x = \frac{-b}{2a}\)

\(x = \frac{-(-1)}{2(-1/2)} = -1\)

Now that we have the value for h, substitute its value into the original quadratic function:

h = -½(-1)² - (-1) + 3

h = 7/2 or 3.5

Vertex (h, k) =  \((-1, \frac{7}{2})\)

Therefore, the maximum value of the function is \((-1, \frac{7}{2})\).

Expanded Notation Form: 60,978= 60,000 +0 +900 +70 +8 

Expanded Factors Form:  60,978= 6 × 10,000 +0 × 1,000 +9 × 100 +7 × 10 +8 × 1 

Expanded Exponential Form: 60,978 = 6 × 104+0 × 103+9 × 102+7 × 101+8 × 100

Word Form:60,978 =sixty thousand nine hundred seventy-eight

The statement "color cannot work to bring together parts of a painting" is false. OB. False

what is proportionality ?

The interaction of two variables that changes as a single ratio or proportion is referred to as proportionality.

The use of a cohesive color palette can help to create a sense of unity throughout the painting, tying together disparate elements and creating a harmonious whole. Color can also be used to create visual connections between different parts of the painting, leading the viewer's eye from one area to another and creating a sense of flow and movement within the composition.

So, the statement "color cannot work to bring together parts of a painting" is false.

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Answer:

  21 -j volts

Step-by-step explanation:

You want the voltage in a circuit that has a current of 5+j3 amps and a resistance of 3-j2 ohms.

Voltage is the product of current and resistance:

  (5 +j3)(3 -j2) = 5·3 +j(3·3 -5·2) -6j² = 21 -j

The voltage of the circuit is 21-j volts.

Answer:

True

Step-by-step explanation:

3x8=24

24-63=-39

39=39

Hence, the equation is true.

Answer:

The answer is true.

Step-by-step explanation:

3 x 8 = 24

24 - 63 = -39

Hope this helps. :)

Answer:

Group A (distance in miles) 1, 1.5, 3.03, 3.2, 2.8, 1.5, 1.8, 2.5, 2.2) Group B (distance in miles) 2, 2.5, 3.23, 1.3, 1.8, 2.4, 3, 1.5, 1.8)Therefore, the correct answer is A) It is equal for Group A and Group B.

a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.

a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:

Industry Average Salary = 96% of Firm B's Average Salary

= 0.96 * $58,000

= $55,680

b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:

Firm A's Average Salary = 93% of Industry Average Salary

= 0.93 * $55,680

= $51,718.40

c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:

Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100

= ($58,000 / $51,718.40) * 100

≈ 112.27%

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Answer: la 3ra contando desde la isquierda

Step-by-step explanation:

Ordering fractions on a number line involves considering both the numerators and denominators, whereas ordering whole numbers only involves comparing the size of the digits.

A number line is a visual representation of numbers arranged in a linear order, usually with zero in the middle and positive numbers to the right and negative numbers to the left.

Ordering fractions on a number line is similar to ordering whole numbers on a number line in that both involve arranging values in increasing or decreasing order.

However, ordering fractions requires attention to the size of the denominators as well as the numerators, while ordering whole numbers only involves comparing the size of the digits.

Additionally, whole numbers are evenly spaced on the number line, while fractions are not, which means that ordering fractions requires a more careful consideration of their relative sizes and placements on the number line.

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The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:

B. What must be true.

Step-by-step explanation:

hope that helps :)