Answer:
a
Step-by-step explanation:
The digits of the number are 7 and 3
Step-by-step explanation:
In a two-digit number:
- The tens digit is four less than the units digit
- Seven times the tens digit plus five times the units digit is equal to 56
We need to find the digits
Assume that the unit digit is x and the ten digit is y
∵ x represents the unit digit
∵ y represents the ten digit
∵ The ten digit is four less than the unit digit
- That means subtract 4 from the unit digit to get the ten digit
∴ y = x - 4 ⇒ (1)
∵ Seven times the tens digit plus five times the units digit is
equal to 56
- That means multiply the ten digit by 7 and the unit digit by
5 and add the two products and equate the sum by 56
∴ 7y + 5x = 56 ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (2) by equation (1)
∵ 7(x - 4) + 5x = 56
- Simplify the left hand side
∴ 7x - 28 + 5x = 56
- Add the like terms in the left hand side
∴ 12x - 28 = 56
- Add 28 to both sides
∴ 12x = 84
- Divide both sides by 12
∴ x = 7
- Substitute the value of x in equation (1) to find y
∵ y = 7 - 4
∴ y = 3
∴ The number is 37
The digits of the number are 7 and 3
Learn more:
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Answer:
1: B. 2: 6n^6+9n^5+4n^2-4n. 3: D. 4: 6b^2-15b-9. 5: 48x^2-4x-4
Step-by-step explanation:
1.
A trinomial is a polynomial with three terms. The expression 7v^2 +2v +2 has 3 terms.
2.
A polynomial in standard form has its powers listed from highest power to lowest power. The terms are 6n^6, 4n^2, 9n^5, and -4n. Remove the bottom numbers to find 6, 2, 5, and 1. Next, put them in order. 6, 5, 3, 1. Then, re-add the bottom numbers. 6n^6+9n^5+4n^2-4n.
3. A sixth degree polynomial is one with a sixth degree power. So, the answer is either C or D. Next, let's look at the terms. The expression here has 4 terms. So, the answer is D.
4 and 5:
To solve expressions in this form, (a+b)(c+d), turn the expression into an equivalent one, ac+ad+bc+bd. Plug in the numbers (with a negative mark if its -a or a-b) into that expression to get your answer.
4 simplifies out into 6b^2+3b-18b-9, which can be simplified into 6b^2-15b-9
5 simplifies out into 48x^2+12x-16x-4, which can be simplified into 48x^2-4x-4.
The graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
<h3>
How does the graph of g(x) compare to the one of f(x)?</h3>
Here we have:
You can notice that if we take f(x), and we shift it 2 units to the right, we have:
g(x) = f(x - 2)
Then if we apply a shift upwards of 6 units, then we have:
g(x) = f(x - 2) + 3
Replacing f(x) by the cubic parent function, we have:
So we conclude that the graph of g(x) is the graph of f(x) translated 2 units to the right and 6 units up.
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Answer:
The answer is the first one: -4 on Edge
Step-by-step explanation:
