What is the apparent solution to the system of equations graphed above?

(0,-1)
(0,3)
(1,2)
(2,1)

The value of the phrase is 5/8.

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of them.

We use these fundamental mathematical operations every day (plus, minus, and). Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.

Given a phrase half of 1 and 1/4 cups,

1 and 1/4 = 1 + 1/4 = 5/4

and half of 5/4 is

1/2(5/4)

1/2 x 5/4 = 5/8

Hence the value is 5/8.

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Since, probability of selecting a blue candy and anything but a blue candy are mutually exclusive events, the probability of selecting anything but an blue candy at random from a large bag = P(Not blue) = 0.76

In logic and probability theory, two events are mutually exclusive or disjoint if they cannot both occur at the same time.

P(Blue) + P(Not blue) = 1 (mutually exclusive events)

0.24 + P(Not blue) = 1

P(Not blue) = 1 - 0.24 = 0.76

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Final answer:

The lowest possible value for t as the median of the numbers 32, 64, 22, t, 41, 22, and 78 is 32. This value maintains the order when the numbers are arranged from lowest to highest for t to be the median.

Explanation:

To find the lowest possible value for t given that it is the median of the numbers 32, 64, 22, t, 41, 22, and 78, we first need to arrange the numbers in ascending order.

Since there are seven numbers, the median would be the fourth number when sorted.

To ensure t is the lowest possible median, we sort the remaining numbers excluding t. Thus, we have:

22, 22, 32, 41, 64, 78

The third value is 32, and the fifth value is 41, so for t to be the median, t must be greater than or equal to 32 but less than or equal to 41.

However, since we are looking for the lowest possible value of t, t would be 32, as this is the lowest it can be while still being the median of the sorted list.

The rate of change in miles per gallon for a car trip represents the number of miles the car can travel per gallon of gasoline used. The ordered pairs (0, 2), (1, 2), (2, 3), (1, 4), (3, 1) accurately correspond with the values provided in the given table.

In the given situation, the rate of change of a graph showing the miles per gallon of gasoline a car uses on a trip would represent the number of miles traveled for every one gallon of gas used. This is because the rate of change in this context quantifies how much distance can be covered (in miles) using one unit of gasoline (in gallon). For instance, if the rate of change is 30, it indicates that the car can travel 30 miles using just one gallon of gasoline.

For the second part of your question, matching the ordered pairs with the table, the correct match would be (0, 2), (1, 2), (2, 3), (1, 4), (3, 1). This set of pairs corresponds accurately to the values given in your table for x and y. To understand this, you can match each x value with its corresponding y value in the table. For example, when x is 0, y is 2 - and this gives you the ordered pair (0, 2).

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The quotient is -3x² + 3x + 8.

To find the quotient when [tex]\(-3x^3 + 5x + 14\)[/tex] is divided by x - 2, we can use polynomial long division.

The dividend is [tex]\(-3x^3 + 0x^2 + 5x + 14\)[/tex] (since there is no [tex]\(x^2\)[/tex] term) and the divisor is x - 2.

1. Divide the first term of the dividend by the first term of the divisor: [tex]\(-3x^3 \div x = -3x^2\)[/tex].

2. Multiply the divisor by the result of step 1: [tex]\((-3x^2)(x - 2) = -3x^3 + 6x^2\).[/tex]

3. Subtract the result of step 2 from the dividend: [tex]\((-3x^3 + 0x^2 + 5x + 14) - (-3x^3 + 6x^2) = -6x^2 + 5x + 14\).[/tex]

4. Repeat the process with the new dividend [tex]\(-6x^2 + 5x + 14\)[/tex].

Continuing the division process, we find the quotient:

[tex]\[ \frac{-3x^3 + 5x + 14}{x - 2} = -3x^2 + 3x + 8 \][/tex]

So, the quotient is -3x² + 3x + 8.

Answer:

none there would be an answer if it was 3√7

Step-by-step explanation:

The horizontal component of the velocity of a ball thrown at a 30 degree angle above the horizontal with an initial speed of 10 ft/s will remain approximately 8.66 ft/s after 0.50s, assuming no air resistance.

A ball is thrown at a 30 degree angle above the horizontal with a speed of 10 ft/s. After 0.50s the horizontal component of its velocity will remain the same, assuming no air resistance, because horizontal velocity in projectile motion is constant if air resistance is ignored. The vertical component will change due to gravity, but that does not affect the horizontal component.

To find the horizontal component of the velocity, we can use the cosine of the launch angle:
Horizontal velocity (v_x) = initial speed * cos(launch angle)
So, v_x = 10 ft/s * cos(30 degrees)

= 10 ft/s * (√3/2)

≈ 8.66 ft/s

As there is no horizontal acceleration in ideal projectile motion, after 0.50s, the horizontal component of the ball's velocity will still be approximately 8.66 ft/s.

Answer:

6s-54

Step by step: Put the 6 in front of the s and then multiply 6*9. so the answer is 6s-54

The distributive property is used in mathematics to multiply a number by multiple numbers within parentheses. Using it for expression 6(s - 9) gives us 6s - 54.

The expression you need to simplify using the distributive property is 6(s - 9). The distributive property is a fundamental property in mathematics that allows you to multiply a singular number by multiple numbers within parentheses.

In case of the expression 6(s - 9), you'll simply need to distribute or multiply the number 6 to each term inside the parentheses.

6 x s and 6 x -9. Performing these will give us 6s - 54.

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1/4 divided by 5 results into '0.05'

Given that we need to find 1/4 divided by 5

Thus let the required answer be denoted as "A"

Thus using basic definitions of divisions and fractions we can find out the resultant value

[tex]A=\frac{\frac{1}{4} }{5} \\A=\frac{1}{4*5} \\A=\frac{1}{20}[/tex]

Thus '1/20' is  the required answer

Now the resultant value can also be simplified to get a decimal value

[tex]A=\frac{1}{20} \\A=\frac{1}{2*10} \\A=\frac{1}{2} *\frac{1}{10} \\A=0.5*0.1\\A=0.05[/tex]

Thus '0.05' is the final answer

According to Remainder Theorem for the polynomials, for every polynomial P(x) there exist such polynomials G(x) and R(x), that [tex] P(x)=(x\pm a)G(x)+R(x) [/tex].

When the polynomial in P(x) is divided by (x + a), then there exist such polynomials G(x) and R(x), that P(x)=(x+a)G(x)+R(x). Note that for x=-a:

Answer:

false

Step-by-step explanation:

Answer:

The absolute value parent function is symmetric with respect to the y-axis.  

The graphs of f(x) = 2|–x| and f(x) = 2|x| are identical because the absolute value of negative x is a reflection across the y-axis.  

If you substitute the three given points into both functions, they produce true statements.

Step-by-step explanation:

Answer:

The answer is ∠EGH.

Step-by-step explanation:

In order to determine the correct option, we have to know about adjacent angle.

Two angles are adjacent when they have a common side and vertex (corner point). So in this case, the adjacent angle must have GE or DG common side and the G vertex.

According to the options, the adjacent angle to ∠DGE is:

∠EGH

The other options are not adjacent angles because they do not have a common side.

Finally the correct option is ∠EGH.

The expressions equivalent to 10x are 50x/5 and (50/5)x as they both simplify to 10x. The other options do not simplify to 10x. Hence option D and E are correct.

To determine which expressions are equivalent to 10x, we need to simplify each option. Let us consider the options one by one:

To solve this a simple division is required.

⇒ (50x/5x)= 10÷(1) = 10

⇒ 10 is not equivalent to 10x.

⇒ 100x - 10

This is not equivalent to 10x.

⇒  10 • 10x • 10 = 100x+10 (Not equivalent to 10x)

⇒ (50/5)x = 10x (Equivalent to 10x)

The correct answers are D and E, both of which simplify to 10x.