The value of y, the length of each leg, must be equal to 7. between 7 and 14. greater than 7. between 14 and 28.

Answer: \(y=3x-1\)

Step-by-step explanation:

Parallel lines have the same slope. So, the equation is

\(y+7=3(x+2)\\\\y+7=3x+6\\ \\ y=3x-1\)

The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients. To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Given,

Equations:

y + 2x = -1

y = x + 4

y - x = 4

Using elimination method,

y + 2x = -1

y - x = 4

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

x = 3

The value of x in the solution to this system of equations y + 2x = -1 and y=x+4 is 3.

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Answer:

Answer to the triangle will be 12

Step-by-step explanation:

This will be twelve determined by the other sides

This is wrong.

It's supposed to be -4/15.

But try -4/5.

Coefficient values weight varies by 25%, which is explained by the link with height.

Coefficient values have always been around -1 and 1, with -1 reflecting perfect negative linear correlation and 1 indicating perfect positive linear correlation.

The correlation coefficient in a correlation study reflects the strength of the linear relationship between two variables.

r represents the correlation coefficient.

Given this, the adult height-weight correlation is -0.50.

r = -0.50

The weight variance is, r² = (-0.50)² = 0.25

As a result, the weight variation is 25%, which is explained by the height relationship.

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The average conclusion is that since they are monkeys, all wookies are good chess players.

Two premises form the basis for the conclusion. All monkeys are skilled chess players, according to the first postulate. The idea that all Wookies are monkeys is the second premise. The first assumption indicates that all monkeys are brilliant chess players, and since the second premise states that all wookies are monkeys, it follows that all wookies must likewise be good chess players. The conclusion is that since they are monkeys, all wookies are good chess players. This conclusion comes logically from the two supplied premises. The conclusion is also presumptively true because the premises are believed to be true.

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x+y-z+w = 10--------(1)

x+3y-4z+5w=26------(2)

x+4y-7z+7w = 37-------(3)

x+2y-3z+6w = 22--------(4)

Subtract equation (1) from (2)

x+3y-4z+5w - (x+y-z+w) = 26 - 10

2y + -3z - 4w = 16-----------------------------(5)

Subtract equation (1) from (3)

Step-by-step explanation:

Assuming you meant to factor (comment and ill update if you didnt)

we can use the AC method

multiple the A term(2) by the c term(9)

and then factor by grouping \(2x^2+9x+9\\2x^2+9x+18 (We\ use\ 18\ to\ get\ more\ factors,\ then\ we\ set\ it\ back\ to\ 9)\\2x^2+6x+3x+9\\\\2x(x+3)3(x+3)\)\((2x+3)(x+3)\)

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be p(x) = 3x - 8.

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,

⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

The zeros are -2/3. Then the factor of the polynomial is given as,

x = - 2/3

3x = - 2

3x + 2 = 0

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be given as,

p(x) = 3x + 2 - 10

p(x) = 3x - 8

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be p(x) = 3x - 8.

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The measure of the smallest angle A of the triangle is 29°, whose second angle is 6 degrees larger than the smallest angle and the third angle is 4 times as big as the smallest one.

we know that the Sum of the measure of all the angles in the triangle is 180 degrees.

Let,  ∠ A = smallest angle

  ∠ B = A+6

 ∠ C = 4 (∠A)

So, we can write that,

∠ A + ∠ B +  ∠ C = 180°

∠A + (∠A+6) + 4∠A = 180°

6 +  ∠A + ∠ A + 4∠A = 180°

6 + 6 ∠A = 180°

6∠A = 180° - 6

6 ∠A = 174

∠A = 174/6

∠A = 29°

Hence, the smallest angle A is 29°

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Answer:

What's listed is not a function, the numbers that aren't listed under is a function.

1.

J

S

Q

M

E

2.

D

F

K

L

3.

B

F

Step-by-step explanation:

If x have more than one output which is y, then it's not a function.

And for the graph function, it is not a function if the vertical line intersects the graph in more than one point.

The ratio of a to be is expressed as a/b or a:b

Given that Emma drew 11 hearts and 20 cycles, the ratio of circles to hearts would be

20/11

Looking at the above ratio, there are no common factors. This means that it cannot be simplified further. Therefore, the ratio of circles to hearts in simplified form is

20/11

The probability of getting the color yellow when spinning a spinner with three equal sections colored red, white, and blue is 0%. Therefore, the correct answer is d) 0%.

Since the spinner has three equal sections colored red, white, and blue, and there is no section labeled yellow, it is not possible to obtain the color yellow when spinning the spinner. Each section has an equal chance of being landed on, but none of them represent the color yellow. Therefore, the probability of getting the color yellow is 0%. It's important to note that probability represents the likelihood of an event occurring, and in this case, the event of landing on the color yellow is not possible given the given information about the spinner. Therefore, the probability is 0%.

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Given,P(A) = 0.30 and P(B) = 0.40. It is not the case that P(A) + P(B) = 1 because there are other software packages for which requests could be made. It does not include other software packages such as Minitab, JMP, and R.

Therefore, the correct option is:The probabilities do not add to 1 because there are other software packages for which requests could be made. We know that P(A) + P(A′) = 1Now, substituting the value of P(A), we get:

P(A′) = 1 - P(A)P(A′) = 1 - 0.30P(A′) = 0.70

Therefore, P(A′) = 0.70(c) We know that

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Now, substituting the values of P(A), P(B), and P(A ∩ B), we get:

P(A ∪ B) = P(A) + P(B) - P(A)P(B)P(A ∩ B) = P(A) x P(B)P(A ∪ B) = 0.30 + 0.40 - (0.30 × 0.40)P(A ∪ B) = 0.70 - 0.12P(A ∪ B) = 0.58

Therefore, P(A∪B) = 0.58(d) We know that A' means not A and B' means not B.So, A′∩B′ means not A and not B.Now, we have:

P(A) = 0.30P(B) = 0.40P(A′) = 0.70P(B′) = 0.60P(A′∩B′) = P(A') x P(B')P(A′∩B′) = 0.70 x 0.60P(A′∩B′) = 0.42

Therefore, P(A′∩B′) = 0.42. Given, P(A) = 0.30 and P(B) = 0.40.The sum of P(A) and P(B) is not equal to 1, i.e., P(A) + P(B) ≠ 1. This is because there are other software packages for which requests could be made such as Minitab, JMP, and R. Hence, there are chances of requests from these packages as well and thus the probability of the events of choosing these packages must also be taken into consideration.P(A′) can be calculated as

P(A) + P(A′) = 1 ⇒ P(A′) = 1 - P(A).

Therefore, P(A′) = 0.70.P(A ∪ B) can be calculated as

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) ⇒ P(A ∪ B) = 0.30 + 0.40 - (0.30 × 0.40) = 0.70 - 0.12 = 0.58.

P(A′∩B′) means not A and not B. Hence, P(A′∩B′) can be calculated as P(A′) x P(B′) = 0.70 x 0.60 = 0.42.Therefore, P(A′∩B′) = 0.42.

Thus, it can be concluded that the sum of probabilities of choosing SPSS and SAS software packages does not add to 1 as there are other software packages available for requests. The probability of the next request being for SPSS can be calculated as 0.30 and that of not being for SPSS can be calculated as 0.70. The probability of the next request being either for SPSS or for SAS can be calculated as 0.58. The probability of the next request being for neither SPSS nor SAS can be calculated as 0.42.

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Answer:

I say option D. -3x-11

Step-by-step explanation:

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

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the answer is c (x=15)...

\(\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}\)

\(\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}\)\(\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } \)

\(\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}\)

Here,

\(\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}\)

\(\rm{↠Substituting \: values }\)

\( \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }\)

\( \underline{\rule{100mm}{3.2pt}}\)

\(\sf{\:мѕнαcкεя\: ♪...}\)

Answer:

1.) A. 8/9

2.) C. 4/9

3.) B. 7/11

4.) D. 10/3

5.) C. 0.06 (repeating)

Step-by-step explanation:

Uncle Makhosi needs approximately 1.56 kilograms of butter.

To determine the amount of butter in kilograms, we'll use the conversion rate of 1 kg = 2.25 pounds.

First, we need to convert 3 and a half pounds to a decimal form. Since half a pound is equal to 0.5 pounds, we can express 3 and a half pounds as 3.5 pounds.

Next, we'll use the conversion rate to calculate the equivalent weight of 3.5 pounds in kilograms:

3.5 pounds * (1 kg / 2.25 pounds) = 1.56 kilograms (rounded to two decimal places).

To summarize, based on the given conversion rate of 1 kg = 2.25 pounds, Uncle Makhosi requires approximately 1.56 kilograms of butter to fulfill his 3 and a half pound requirement. This conversion can be useful when dealing with different units of measurement, allowing us to easily switch between kilograms and pounds.

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Answer:

1=8 2=11/12

Step-by-step explanation:

Answer:

\(m=\frac{17}{37}\)

Step-by-step explanation:

When given two coordinates, you must use this formula to find the slope of a line:

\(m= \frac{y_{2} - y_{1}}{x_{2}-x{1}}\)

where m is your slope.

So, plug in your coordinates. Remember, a coordinate is denoted by (x,y). So, for example, your \(x_{1}\) would be -18 and your \(x_{2}\) would be 19.

\(m =\frac{4--13}{19--18}\)

\(m =\frac{17}{37}\)

And that would be your slope. (Answer choice D.)

Step-by-step explanation:

\( \underline{ \underline{ \text{Solving \: a \: quadratic \: equation \: by \: factorisation \: method}}} : \)

In this method , the second order of polynomial ax² + bx + c is factorised and expressed as the product of two linear factors. Then each linear factor is separately solved to get the required solutions of the equation by applying zero factor property. In zero factor property , if p•q = 0 , then either p = 0 or q = 0 . In other words , if the product of two numbers is 0 , then one or both of the numbers must be 0.

\( \underline{ \underline{ \text{Let's \: solve}}} : \)

\( \tt{ {x}^{2} + 16x + 55 = 0}\)

Here , we have to find the two numbers that multiplies to 55 and adds to 16.

⤑ \( \tt{ {x}^{2} + (11 + 5)x + 55 = 0}\)

⤑ \( \tt{ {x}^{2} + 11x + 5x + 55 = 0}\)

⤑ \( \tt{x(x + 11) + 5(x + 11) = 0}\)

⤑ \( \tt{(x + 5)(x + 11) = 0}\)

Either :

\( \tt{x + 5 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: Or : \: \: x + 11 = 0}\)

\( \sf{⟶ x = 0 - 5} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⟶ x = 0 - 11\)

\( \tt{⟶x = - 5 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:⟶ x = - 11\)

\( \red{ \boxed{ \boxed{ { \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{x = - 5 \: , - 11}}}}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Step-by-step explanation:

its C. cause if f -g is equal to positive 4

Option B → (f - g)(x) = \($2x^{3} +5x^{2}\) - 8x - 4  is correct.

We have the following functions -

f(x) = \(2x^{3} +5x^{2} -6x-7\)

g(x) = 2x - 3

We have to determine (f - g)(x).

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

According to the question, we have -

f(x) = \(2x^{3} +5x^{2} -6x-7\)

g(x) = 2x - 3

Now -

(f - g)(x) = {\($2x^{3} +5x^{2} -6x-7\) - (2x - 3)}

(f - g)(x) = {\($2x^{3} +5x^{2}\) - 6x - 7 - 2x + 3}

(f - g)(x) = \($2x^{3} +5x^{2}\) - 8x - 4

Hence, Option B → (f - g)(x) = \($2x^{3} +5x^{2}\) - 8x - 4  is correct.

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Answer:

1 / 5^11

Step-by-step explanation:

5^ -6  * 5 ^ -5

We know that a^ b * a^ c = a^( b+c)

5^ ( -5+-5)

5^ -11

We also know that

a^-b = 1/ a^b

1 / 5^11

Answer:

1/5^11

Step-by-step explanation:

5^-6 * 5^-5

5^-6+(-5)

5^-6-5

5^-11

1/5^11

Note : In multiplication if the bases are same then u can add their exponent and when the base have ngative exponent just do it's reciprocal.Then u the base will have positive exponent.

Hey there!

\(\mathsf{(6.51\times10^4) - (3.26\times10^4)}\)

\(\mathsf{= 6.51\times 10^4 - 3.26\times10^4}\)

\(\mathsf{10^4}\\\mathsf{= 10 \times10\times10\times10}\\\mathsf{= 100\times 100}\\\mathsf{= \bf 10,000}\)

\(\mathsf{= 6.51 \times 10,000 - 3.26 \times 10,000}\)

\(\mathsf{6.51 \times 10,000}\\\mathsf{= \bf 65,100}\)

\(\mathsf{65,100 - 3.26 \times10,000}\)

\(\mathsf{3.26 \times 10,000}\\\mathsf{= \bf 32,600}\)

\(\mathsf{= 65,100 - 32,600}\)

\(\mathsf{= \bf 32,500}\)

\(\boxed{\boxed{\huge\textsf{Answer: \bf 32,500}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

\({ \tt{6.51 \times {10}^{4} - 3.26 \times {10}^{4} }} \\ = { \tt{(6.51 - 3.26) \times {10}^{4} }} \\ = { \tt{3.25 \times {10}^{4} }}\)

Answer:

Side b is 3.19

Information:

The following image has all the lengths solved in the triangle. Also, here are the degrees of the three angles:

∠C is 112 degrees

∠B is 56 degrees

∠A is 12 degrees

Hope this helps and answers you question :)

Answer: $5

Step-by-step explanation:

If you sell 3 shirts for $15 you would then just divide the 3 shirts into how much all together to get the price for each shirt for $5.