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gavmur [86]
3 years ago
11

the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times t

he second is 95, Find the numbers
Mathematics
1 answer:
inysia [295]3 years ago
5 0
\left \{ {{7*x - 3*y=25} \atop {2*x + 5*y=95}} \right.

\left \{ {{7x - 3y=25}(I) \atop {2x + 5y=95}(II)} \right.

\left \{ {{7x - 3y=25}simplify*(5) \atop {2x + 5y=95}simplify*(3)} \right.

\left \{ {{35x - \diagup\!\!\!\! 15 y=125} \atop {6x + \diagup\!\!\!\! 15y=285}} \right.

\left \{ {{35x =125} \atop {6x =285}} \right.

41x = 410

\boxed{x=10}

<span>Replace the value of "x" in the second equation (II) to find the value of "y", thus:
</span>2x + 5y=95
2*(10)+5y = 95
20+5y=95
5y=95-20
5y=75
y =  \frac{75}{5}
\boxed{y=15}


The numbers (10,15)

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30 points and brainliest!! HELP NOW
Natasha2012 [34]

Answer:

First question

a = 1 , h = 0 , k = 6 ⇒ third answer

Second question

y = 2x² + 4 ⇒ second answer

Third question

No of the choices correct ⇒ fourth answer

Step-by-step explanation:

First question

∵ f(x) = x² + 6

- It is a quadratic function with general form ax² + bx + c

- Its vertex is (h , k), where h = -b/2a and k = f(h)

∵ a = 1 , b = 0 , c = 6

∴ h = 0/2(1) = 0

∴ f(0) = 0² + 6 = 6

∴ a = 1 , h = 0 , k = 6 ⇒ third answer

Second question

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

∵ y = 2x²

∵ y is shifted 4 units up

∴ k = 4

∴ y + 4 = 2x² + 4

∴ y = 2x² + 4 ⇒ second answer

Third question

∵ y = -2x² + 3

- It is a quadratic equation with general form ax² + bx + c

- It represented graphically by parabola

- If a is positive the parabola opens upward

- If a is negative the parabola opens downward

∵ a = -2

∴ The parabola opens downward

∴ No of the choices correct ⇒ fourth answer

4 0
3 years ago
If the expression x-3 has a value of -5,then which of the following represents the value of 3x-9
Angelina_Jolie [31]

Answer:

-15

Step-by-step explanation:

<em>Italics</em> by itself are comments, <em>italics</em> and <u>underlines</u> are helpful rules, bold highlights little facts.

x-3=-5 : since the expression 'x-3' is being assigned the value '-5'

We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.

<em><u>(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa)</u>.</em>

To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition <em>(in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation).</em> By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once <em>(well not in this equation).</em>

x=-5+3 which is equal to -2.

Hence, x=-2

Now that we know what 'x' is we can work on the other expression: 3x-9

Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.

3(-2)-9=?

<em><u>(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number)</u>.</em>

Therefore, 3×(-2) will equal -6.

-6-9=-15

Hence, 3x-9=-15.

To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.

Here's how that looks: 3x-9 (+9)= -15 (+9).

You would then be left with 3x=-6.

If you remembered the rule typed previously, I said in order to isolate 'x' we do the opposite of the operation. 3x means '3' multiplied by 'x', therefore the opposite of multiplication is division:

3x(÷3)=-6(÷3) ----> 3 divided by 3 equals 1. Anything multiplied by 1 will be equal to itself (x*1= x)

<em><u>(An asterisk can also symbolise multiplication).</u></em>

Therefore when 3x is divided by 3, the constants would cancel each other out, 1 would be left looking like this: 1x=... and 1x is the same as x by itself.

-6 divided by 3 is equal to -2 <em><u>(a positive divided by a negative will always be negative and vice versa)</u></em>.

Hence, x=-2.

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3 years ago
Ms. Skeen bought 3 pounds of candy for the Christmas party. There was a total of 147 pieces of candy. She wants to divide it amo
ohaa [14]

The 3 lbs of candy is irrelevant, so we can discard that. All you need to do is divide 147 by 26, which is 5.65 pieces of candy. Each student will get 5 pieces, with a few left over.

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Is this the correct answer? if not, what is it?
sergiy2304 [10]

Answer:

B. 1:2800

Step-by-step explanation:

448 / .16 = 2800

1:2800

Feel free to let me know if you need more help! :)

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