P(x)= - 4x + 2,800x - 400

Answer:

Hello,

Step-by-step explanation:

u(i) is the ith term of the a.s

a is the first term and d the common difference

for n in {1,2,3...}: u(n)=a+(n-1)*d

u(1)=a+0*d=a

u(2)=u(1)+d=a+d=a+1*d

u(3)=u(2)+d=a+1*d+d=a+2*d

...

u(20)=a+19*d

Answer:

a+19d

Step-by-step explanation:

edmentum

The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

Since we are dividing by a negative number, we must reverse the inequality sign.

\( - 4x \leqslant 36\)

\(x \geqslant - 9\)

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

The answer choice which must be true regarding the linear function is; The set must have a constant additive rate of change.

Since a linear function typically takes the slope-intercept form; f(x) = mx +c.

It therefore follows that the equation must have a constant slope m, which is the described additive constant rate of change.

It therefore follows that, the answer choice which is true regarding the linear function is therefore; The set must have a constant additive rate of change.

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Answer: C

Step-by-step explanation:

Answer:

Explanation:

a) cos (7/4π)

We simplify the given trigonometric function first to express it into a surd. Surd means when we can't simplify a number to remove a square root or has a decimal which goes on forever without repeating.

For the given the given function:

Using the identity:

cos(x+y)=cos(x)cos(y)-sin(x)sin(y)

So,

Since:

Simplify and rearrange

Therefore,

Answer:

15

Step-by-step explanation:

x + 0.60(15) = 0.80(x + 15)

x+9=0.8(x+15)

x+9=4(x+15/5)

x+9=4x+60/5

x+9-9=4x+60/5-9

x=15

Given :

To Find :

⠀

Solution :

We know that,

\(\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}\)

Let's assume the length of the rectangle as 4x inches. and the width is 3x inches.

⠀

Now, Substituting the given values in the formula :

\(\qquad \dashrightarrow{ \sf{2(4x + 3x )= 98}}\)

\(\qquad \dashrightarrow{ \sf{2(7x)= 98}}\)

\(\qquad \dashrightarrow{ \sf{14x= 98}}\)

\(\qquad \dashrightarrow{ \sf{x= \dfrac{98}{14 } }}\)

\(\qquad \dashrightarrow{ \bf{x= 7}}\)

Therefore,

\(\qquad { \pmb{ \bf{ Length _{(rectangle)} = 4x \: = 4(7) = 28 \: inches}}}\:\)

\(\qquad { \pmb{ \bf{ Width _{(rectangle)} = 3x = 3(7) = 21 \: inches}}}\:\)

Answer:

the answer is 97 °

Step-by-step explanation:

angles on a straight line add up to 180

so 180 -83 = 97°

Answer:

number 1 is c      number 2 is b,c,e  number 3 is b

Step-by-step explanation:

1: if you see something to the power you will always think of repeated multiplication off the bat. so you just multiply the coefficient by the amount of the exponent.

2: 1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1=1 no

2*2*2*2=16 yes

4*4=16 yes

8*8=64 no

16=16 yes

3: 3/4*3/4*3/4=27/64

hope this helps! have a nice day!

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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If the matrix be \($$\left[\begin{array}{cc}n-1 & 6 \\-19 & m+3\end{array}\right]+\left[\begin{array}{cc}-1 & 0 \\16 & -8\end{array}\right]=\left[\begin{array}{cc}10 & 6 \\-3 & 40\end{array}\right]$$\) then the value of n = 12 and m = 45.

The term "matrix equation" (also known as a "matrix-vector equation") refers to an equation of the form Av = b, where A is a m by n matrix known as the coefficient matrix, v is a n by 1 column vector, and b is a m by 1 column vector.

Simultaneous equations are presented and solved more easily using the mathematical language known as . It can be used to generate a mathematical model of the structure and to gain a clear statement of a structural problem.

The given matrix equation is:

\($$\left[\begin{array}{cc}n-1 & 6 \\-19 & m+3\end{array}\right]+\left[\begin{array}{cc}-1 & 0 \\16 & -8\end{array}\right]=\left[\begin{array}{cc}10 & 6 \\-3 & 40\end{array}\right]$$\)

We add the corresponding entries on the left hand side to obtain;

\($$\left[\begin{array}{cc}n-2 & 6 \\-3 & m-5\end{array}\right]=\left[\begin{array}{cc}10 & 6 \\-3 & 40\end{array}\right]$$\)

The above two matrices are equal. This means that, their corresponding entries are equal.

We now equate the corresponding entries to obtain;

n - 2 = 10

simplifying the above equations we get

n = 10 + 2

n = 12

Also; m - 5 = 40

simplifying the above equations we get

m = 40 + 5

m = 45

Therefore, the value of n = 12 and m = 45.

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Answer:

it's b

=45

=12

Step-by-step explanation:

edge 2023 quiz

Answer:

False

Step-by-step explanation:

Answer:

328,000-49,000= 279000

the amount of mortgage they paid

15 x 2354.37= 35315.55

Step-by-step explanation:

When Lydia buys 4 jewelry sets, the amount spent is $24.

From the information given, we are told that Michelle is preparing for her birthday and that each set is $5 and shipping is $4 flat. If Lydia buys 4 jewelry sets.

Therefore, the equation will be:

4 + (5 × x)

where x = number of set

4 + 5x

4 + (5 × 4)

= 4 + 20

= $24

The amount is $24.

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The amount of baking soda needed for a full sheet cake is 5.20 teaspoons.

A fraction is a non-integer that is made up of a numerator and a denominator that is separated by a horizontal line. The numerator is the number above the horizontal line and the denominator is the number below the horizontal line. An example of a fraction is 1/8.

In order to determine how much baking soda is needed for a full sheet cake, multiply the amount that is needed for 1/8 of the sheet cake by 8. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Baking soda needed for a full sheet cake =  8 x 0.65 = 5.2 tablespoons

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Answer:

2/5 of the cookie

Step-by-step explanation:

12 friends need to split 4 cookies

4 cookies needs to divided by 10 people

\(\frac{4cookies}{10 people}\) = \(\frac{4}{10}\)

simplify: \(\frac{4}{10} = \frac{2}{5}\)

Answer:

11 hours

Step-by-step explanation:

The solution is, each tour guide have an equal number of 8 students.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

there are 12 students in each class.

Four classes are on a field trip.

There are 6 tour guides.

total students = 12*4

                       = 48

so, each guide have = 48/6

                                  = 8

Hence, The solution is, each tour guide have an equal number of 8 students.

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The values of k for which 2x² + kx - 5 can be factored as the product of two linear factors with integer coefficients are k = 3, 1, and 9.

What is a linear factor?

A linear factor is a polynomial of degree one, which means it has one variable raised to the first power and a constant coefficient. In other words, it is an expression of the form ax + b, where a and b are constants and x is the variable.

We can factor the quadratic 2x² + kx - 5 into the product of two linear factors with integer coefficients if and only if its discriminant is a perfect square.

The discriminant of the quadratic equation ax² + bx + c = 0 is given by the expression b² - 4ac. In this case, a = 2, b = k, and c = -5. Therefore, the discriminant is:

b² - 4ac = k² - 4(2)(-5) = k² + 40

For the quadratic to be factored into two linear factors with integer coefficients, k² + 40 must be a perfect square.

One way to proceed is to list the perfect squares that are 40 greater than a square, and see if k is one of the corresponding values. We can do this by solving the equation:

k² + 40 = m²

where m is an integer. Rearranging, we get:

k² - m² = -40

This is a difference of squares, so we can factor it:

(k + m)(k - m) = -40

We now need to find integer values of k and m that satisfy this equation. We can do this by considering all possible pairs of factors of -40 and solving for k and m.

The pairs of factors of -40 are:

(-1, 40), (-2, 20), (-4, 10), (-5, 8)

For each pair, we can solve the system of equations:

k + m = a

k - m = b

where a and b are the two factors in the pair. Adding these equations, we get:

2k = a + b

Subtracting them, we get:

2m = a - b

Solving for k and m, we obtain:

k = (a + b)/2

m = (a - b)/2

We can now check if the values of k and m are integers and if they satisfy the original equation.

For example, if we take the pair (-1, 40), we get:

k + m = -1

k - m = 40

Adding these equations, we get:

2k = 39

This implies that k = 39/2, which is not an integer, so this pair does not work.

Trying the other pairs, we find that:

(-2, 20) gives k = 9 and m = 11, which works

(-4, 10) gives k = 3 and m = 7, which works

(-5, 8) gives k = 1 and m = 3, which works

Therefore, the values of k for which 2x² + kx - 5 can be factored as the product of two linear factors with integer coefficients are k = 3, 1, and 9.

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Answer:

yes

Step-by-step explanation:

f the exterior angle of a polygon is given, then the formula to find the interior angle is Interior Angle of a polygon = 180° – Exterior angle of a polygon Method 3: If we know the sum of all the interior angles of a regular polygon, we can obtain the interior angle by dividing the sum by the number of sides

9514 1404 393

Answer:

  distributive property

Step-by-step explanation:

The distributive property of multiplication over addition lets you expand the product in the manner shown.

Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

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Answer:

\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)

hope it helps:)

Answer:3x-21

Step-by-step explanation:

\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21

Velocity= 20 miles/hour