The graph for the equation y = negative x + 2

On a coordinate plane, a line with positive slope goes through (0, 2) and (2, 0).

If another equation is graphed so that the system has an infinite number of solutions, which equation could that be?

A) y = negative 2 (x minus 1)
B) y = negative (x + 2)
C) y = negative one-fourth (4 x minus 8)
D) y = negative one-half (x + 4)

Answer:

2/9y(3y−4/7)

Use the distributive property to multiply  

9

2

​

y by 3y−

7

4

​

.

9

2

​

y×3y+

9

2

​

y(−

7

4

​

)

Multiply y and y to get y

2

.

9

2

​

y

2

×3+

9

2

​

y(−

7

4

​

)

Express  

9

2

​

×3 as a single fraction.

9

2×3

​

y

2

+

9

2

​

y(−

7

4

​

)

Multiply 2 and 3 to get 6.

9

6

​

y

2

+

9

2

​

y(−

7

4

​

)

Reduce the fraction  

9

6

​

 to lowest terms by extracting and canceling out 3.

3

2

​

y

2

+

9

2

​

y(−

7

4

​

)

Multiply  

9

2

​

 times −

7

4

​

 by multiplying numerator times numerator and denominator times denominator.

3

2

​

y

2

+

9×7

2(−4)

​

y

Do the multiplications in the fraction  

9×7

2(−4)

​

.

3

2

​

y

2

+

63

−8

​

y

Fraction  

63

−8

​

 can be rewritten as −

63

8

​

 by extracting the negative sign.

3

2

​

y

2

−

63

8

​

y

Step-by-step explanation:

Answer:

19 is a prime number

Step-by-step explanation:

Answer:

19.

Step-by-step explanation:

The best way to find if a number is prime or not is that you divide that number with 3 and 7 if it is not divisible by either of them then it's a prime. If the one's digit is divisible by 2 it cannot be prime and if the one's digit is 0 or 5 then it is not prime.

Hope this helps!

Answer:

VX=33

Step-by-step explanation:

VW=2z-1

WX=z+3

XV=3z

VW=a

WX=b

XV=c

a+b+c=2z-1+z+3+3z

Perimeter=6z+2

P=68

68=6z+2

66=6z

z=11

VX=3x11

VX=33

Answer:

9

Step-by-step explanation:

X= -2, substitute -2 for X in the function

-(-2)+7, = 2+7

=9

Answer:

5 outfits

Step-by-step explanation:

The number of many different outfits does Sarah have to choose from should be 32.

Since  She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes.

So here the number of distinct outfits should be like

\(= 2\times 8 \times 2\)

= 32

hence, The number of many different outfits does Sarah have to choose from should be 32.

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Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

Answer:

she will use 4.

Step-by-step explanation:

kajsbsbsjajaja

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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Step-by-step explanation:

Multiply:

2(5/8) × -4(3/4)

⇛(80/8) × (-48/4)

⇛20 × (-6)

⇛-120. Ans.

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:

I hope this helps you with your homework.

Answer:

4(x+y)=20

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

\(x^{2} +x+1\)

Step-by-step explanation:

\(x^{2} +x+1\) is the only prime polynomial because the others can be factored.

\(x^{2} - x -2 \\becomes (x-2)(x+1)\)

\(x^{2} -12x+11\\becomes (x-11)(x-1)\)

\(x^{2} +2x-8\\becomes (x+4)(x-2)\)

In between these four polynomials, x² + x + 1 is the only prime polynomial.

A prime polynomial doesn't have any factor except 1 and itself.

Given,

x² + x + 1 = 1 × (x² + x + 1)

x² – x – 2 = x² - 2x + x - 2 = x(x - 2) + (x - 2) = (x - 2)(x + 1)

x² – 12x + 11 = x² – 11x - x + 11 = x(x – 11) - (x - 11) = (x - 1)(x - 11)

x² + 2x – 8 = x² + 4x – 2x - 8 = x(x+4) - 2(x+4) = (x-2)(x+4)

Therefore, x² + x + 1 is the only prime polynomial here.

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Answer:

46 and -19

Step-by-step explanation:

That's the answer

Each function's rate of change across the interval [1, 4] is 3 for f(x) and 26 for g(x), respectively. As a result, g(x) is the function that is expanding more quickly.

To calculate the rate of change for each function over the interval [1, 4], we need to find the slope of the secant line between the points (1, f(1)) and (4, f(4)) for function f(x) and between the points (1, g(1)) and (4, g(4)) for function g(x).

For function f(x) = 3x + 1:

f(1) = 3(1) + 1 = 4

f(4) = 3(4) + 1 = 13

The slope of the secant line is:

(f(4) - f(1))/(4 - 1) = (13 - 4)/3 = 3

Therefore, the rate of change for f(x) over the interval [1, 4] is 3.

For function g(x) = 3^x + 1:

g(1) = 3^1 + 1 = 4

g(4) = 3^4 + 1 = 82

The slope of the secant line is:

(g(4) - g(1))/(4 - 1) = (82 - 4)/3 = 26

Therefore, the rate of change for g(x) over the interval [1, 4] is 26.

Comparing the rates of change, we see that the rate of change for f(x) is 3 and the rate of change for g(x) is 26. Therefore, the correct answer is (d) f(x) has a rate of change of 3 and g(x) has a rate of change of 26, so g(x) is growing faster.

The complete question is:-

Calculate the rate of change for each function over the interval [1, 4], then tell which function is growing faster.

f (x)=3x+1

g(x)=3^x+1

a) f(x) has a rate of change of 3

g(x) has a rate of change of 1

so f(x) is growing faster

(b) f(x) has a rate of change of 3

g(x) has a rate of change of 3

so they are growing at the same rate

(c) f(x) has a rate of change of 3

g(x) has a rate of change of 26

so f(x) is growing faster

d) f(x) has a rate of change of 3

g(x) has a rate of change of 26

so g(x) is growing faster

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Answer:

There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Step-by-step explanation:

The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.

In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.

The hypothesis can be defined as:

H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ₄.

Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ\(_{i}\) is different.

The significance level of the test is, α = 0.05.

The decision rule is:

The p-value of the ANOVA test is computed as, p-value = 0.11.

p-value = 0.11 > α = 0.05.

The null hypothesis was failed to be rejected.

Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

∠5  is supplementary.

It forms a straight angle with ∠1.

The corresponding parsing tree and an interpretation that

makes it T and an interpretation that makes it F are given accordingly.

a) ((P1 → P2) V (P2 → P3))

Parsing Tree:

       V

    /     \

 →         →

/ \       / \

P1  P2    P2  P3

Interpretation that makes the formula T: If P1 is true, P2 is true, and P3 is true, then the formula is true.

Interpretation that makes the formula F: If P1 is true, P2 is false, and P3 is true, then the formula is false.

b) ((P1 AP2) → P3)

Parsing Tree:
       →

    /     \

 AP      P3

/ \

P1 P2
Interpretation that makes the formula T: If P1 is false or P2 is true, then the formula is true.

Interpretation that makes the formula F: If P1 is true, P2 is false, and P3 is true, then the formula is false.

c) (P1 → (P2 V P3))

Parsing Tree:

       →

    /     \

  P1       V

         /   \

       P2     P3

Interpretation that makes the formula T: If P1 is false, then the formula is true.

Interpretation that makes the formula F: If P1 is true, P2 is false, and P3 is false, then the formula is false.

d) ((P1 ^ P2) → (P1 V ¬P2))

Parsing Tree:

       →

    /     \

 ^          V

/ \       /   \

P1  P2    P1   ¬P2

Interpretation that makes the formula T: If P1 is true and P2 is false, then the formula is true.

Interpretation that makes the formula F: If P1 is true and P2 is true, then the formula is false.


e) (((P1 → P2) AP1) → P2)

Parsing Tree:
          →

       /     \

      AP     P2

     /  \

    →    P1

   / \

  P1  P2

Interpretation that makes the formula T: If P1 is false or P2 is true, then the formula is true.

Interpretation that makes the formula F: If P1 is true, P2 is false, and P3 is true, then the formula is false.

f) ((P1 P2) → (P2 P1))

Parsing Tree:

          →

       /     \

      P     P

     / \   / \

    P1 P2 P2 P1

Interpretation that makes the formula T: If P1 is true and P2 is true, then the formula is true.

Interpretation that makes the formula F: If P1 is true and P2 is false, then the formula is false.

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3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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The required least common denominator for the given expression is  4x³(x + 3). Option C is correct.

A rational expression is a mathematical expression that is the ratio of two polynomial expressions. That is, a rational expression is formed by dividing one polynomial expression by another polynomial expression.

Here,
The given rational expression,
= 1/x²  - 1/4x² + 12x

In the question, we have been asked to determine the least common denominator for the given rational expression.

Since least common denominator is given expression,
= x² (4x² + 12x)
= 4x³(x + 3)

Thus, the required least common denominator for the given expression is  4x³(x + 3). Option C is correct.

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Answer:

x= 7\(\sqrt{2}\)

Step-by-step explanation:

It's a 45 45 90 triangle

The legs are = x while the hypotenuse is x \(\sqrt{2}\).

Therefore the answer is 7\(\sqrt{2}\)

Answer:95

step by step explanation

Answer:-3

Step-by-step explanation:

Answer:

p = -3

Step-by-step explanation:

5p + 2 = 4p - 1

-4p -2    -4p -2

p          =       -3

Answer:

Step-by-step explanation:

We can subtract \(3x\) from both sides of the equation to get \(y=-3x+5\).

We want the line parallel to this line, so it must have the same slope, \(-3\).

Recall point-slope form: Given a point \((x_{1}, y_{1})\) and the slope m, the line is of the form \(y-y_{1}=m(x-x_{1})\).

Plugging in our point \((-1, -4)\) and the slope \(-3\), the line is \(y+4=-3(x+1)\).

Distributing the right side gives \(y+4=-3x-3\).

Subtracting \(5\) from both sides gives \(y=-3x-7\).

So, the equation for the line is \(y=-3x-7\) and we're done!