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kobusy [5.1K]
3 years ago
11

The sum of a number x and the product of 5 and a number y is 30.

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Step-by-step explanation:

<h3>x +5y=30.........(i)</h3>

which is required equation.

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What are the first four terms in the sequence Tn=4n+9?
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Answer: If the initial term of an arithmetic sequence is a 1 and the common difference of successive members is d, then the nth term of the sequence is given by: a n = a 1 + (n - 1)d The sum of the first n terms S n of an arithmetic sequence is calculated by the following formula: S n = n (a 1 + a n)/2 = n [2a 1 + (n - 1)d]/2

6 0
2 years ago
BRAINLIEST PLEASE HELP np<br> If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1, find (f+g)(x)
raketka [301]

Answer:

\large\boxed{B.\ (f+g)(x)=2x^2+2x-2}

Step-by-step explanation:

f(x)=-x^2+6x-1\\\\g(x)=3x^2-4x-1\\\\(f+g)(x)=f(x)+g(x)\\\\\text{substitute:}\\\\(f+g)(x)=(-x^2+6x-1)+(3x^2-4x-1)\\\\(f+g)(x)=-x^2+6x-1+3x^2-4x-1\qquad\text{combine like terms}\\\\(f+g)(x)=(-x^2+3x^2)+(6x-4x)+(-1-1)\\\\(f+g)(x)=2x^2+2x-2

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Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the origin
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Answer:b

Step-by-step explanation:

7 0
3 years ago
Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and
Lorico [155]

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

P_L = Vt + A

Where t, is a real number, and P_L is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

P_L = (0,0,1) t + (-4, 0.5, 5)

The equations for each coordinate are:

x = -4\\y = 0.5\\z = 5 + t

7 0
3 years ago
Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Check all th
kogti [31]
A polynomial is said to be in standard form if it is written in the order of degree from highest to lowest from left to right.

The degree of a term of a polynomial is the exponent of the variable or the sum of the exponents of the variables of that term of the polynomial.

Thus, given the expression
-5x^2y^4 + 9x^3y^3+\_\_\_

-5x^2y^4 has a degree of 6, and
9x^3y^3 has a degree of 6.

Thus, the exponent of the variable or the sum of the exponents of the variables of the next term of the polynomial must be less than or equal to 6 for the polynomal to be said to be in standars form.

Therefore, the <span>terms that could be used as the last term of the given expression to create a polynomial written in standard form are
x^5, \\  \\ &#10;y^5, \\  \\ &#10;6x^4y, \ and \\  \\ &#10;-xy^5</span>
7 0
3 years ago
Read 2 more answers
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