A set of equations is given below:Equation E: c = 2d + 1 Equation F: c = 3d + 7
Which statement describes a step that can be used to find the solution to the set of equations?
Equation F can be written as c = 3(c − 1) + 7. Equation F can be written as c = 2(c − 7) + 1. Equation F can be written as d + 1 = 3d + 7. Equation F can be written as 2d + 1 = 3d + 7.
Answers
Answer 1
Answer:
The correct answer is 'Equation F can be written as 2d + 1 = 3d + 7'. In order to find the answer to a system of equations, the two equations must be set equal to each other. For instance, if we had the equations x = y + 1 and x = 3y - 1, we would set the two equations equal to one another to find the answer.
x = y + 1 x = 3y - 1 y + 1 = 3y - 1 1 = 2y - 1 2 = 2y 1 = y
x = y + 1 x = 1 + 1 x = 2
We can use this to solve the set of equations above.
How many whole numbers less than 500 can be formed using the digits 1, 2, 4, and 5?
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We do casework by the number of digits in the number.
One-digit numbers: 4 choices for the number.
Two-digit numbers: Four choices for the first digit, four for the second, for a total of 4*4=16 numbers.
Three-digit numbers: Five cannot be the first digit, since if that is the case we will have a number over 500, so we have three choices for the first digit and four for each of the others, for a total of 3*4*4=48 numbers.
This is a total of 4+16+48=68 numbers.
Let x^2−12x=61 . What values make an equivalent number sentence after completing the square? Enter your answers in the boxes. HELP PLEASE
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Complete the square:
x^2 - 12x + (-6)^2 - (-6)^2 = 61, or (x-6)^2 -36 = 61, or
x-6 = plus or minus sqrt(97), or
x = 6 plus or minus sqrt(97)
A=1 , b=-12 , c=61. B^2-(4 •a•c) = d -12^2-(4•1•61)= d X= (-b-sqr (d) ) / 2a or x=(-b+sqr (d) )/2a
Write (5+2yi)(4-3i)-(5-2yi)(4-3i) on a+bi form, where y is a real number
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the answer is attached here
The temperature on Wednesday was 8° more than a third of Tuesday’s temperature. If T represents Tuesday’s temperature, write an expression for Wednesday’s temperature, W.
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I love these problems -- you don't have to do math -- it's all just reading and using logic! So we're saying T represents Tuesday. 8 more than can be expressed as what? +8. A third can be expressed as what? 1/3. What are we splitting into thirds? T. Therefore, 1/3t+8 is your answer.
Answer:
what is it
Step-by-step explanation:
What scale factor would you use on the 14 by 21 rectangle to return it to its original 2 by 3 inch size
Answers
Answer:
Multiply by 1/7
Step-by-step explanation:
14*1/7=2
21*1/7=3
1) which expression is the GCF of the terms of the polynomial?16x^3+28^5y A)4x^3 B)4x^5y C)8x^5 D)112x^5y
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First, the statement seems to have an error. The right polynomial must be 16x^3 + 28x^5y.
With that said, we have to find the greatest common divisor of the coefficients and take the common letter with its minimum exponent.
Greatest common divisor of 16 and 28 is determined by facoring both numbers and taking the common factors raised to the minimum power.
16 = 2^4 28 = 2^2 * 7
So, the common factor with the minimum power is 2^2 =4