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podryga [215]
3 years ago
9

What is the value of x + y(3 − x) when x = −5 and y = 3?

Mathematics
2 answers:
grandymaker [24]3 years ago
6 0

Answer:

19

Step-by-step explanation:

x + y(3 − x)

Let x = -5 and y = 3

-5 +3(3 - -5)

Subtracting a negative is like adding

-5 +3(3+5)

Parentheses first

-5 +3(8)

Multiply

-5+24

Subtract

19

sleet_krkn [62]3 years ago
5 0
Answer:

19

Step-by-step explanation:

x + y(3 - x) x = -5 y = 3

Step 1. Substitute x for -5 and y for 3

(-5) + (3)(3 - (-5))

Step 2. Solve for (3 - (-5))

(-5) + (3)(8)

Step 3. Multiply 3 and 8

(-5) + 24

Step 4. Add -5 and 24

(-5) + 24 = 24 + -5 = 19

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6 0
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I need the product of a^4xa^6
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A^4 * a^6

exponent rule : x^y * x^z = x^(y + z)

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3 0
3 years ago
Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = 230-15x

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

10x+15x =230-155\\\\25x = 75

Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

Hence, After 3 weeks they both will have the same amount in their savings account.

4 0
3 years ago
Find the polar equation of the conic with the focus at the pole, directrix x = 4, and eccentricity 1.
BabaBlast [244]

Answer:

Choice D is correct

Step-by-step explanation:

The eccentricity of the conic section is 1, implying we are looking at a parabola. Parabolas are the only conic sections with an eccentricity of 1.

Next, the directrix of this parabola is located at x = 4. This implies that the parabola opens towards the left and thus the denominator of its polar equation contains a positive cosine function.

Finally, the value of k in the numerator is simply the product of the eccentricity and the absolute value of the directrix;

k = 1*4 = 4

This polar equation is given by alternative D

6 0
3 years ago
What is 795,431 rounded to the nearest ten thousand?
nadya68 [22]
I’m pretty sure the answer would be A because the 5 makes the 9 round up to ten and then the 7 becomes an 8.
8 0
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