X=y+3
<span>-5x-4y=<span>30
-------------------
Substitute y + 3 for x in </span></span>-5x-4y=30
<span><span>-5<span>(y+3)-</span></span>4y</span>=<span>30
</span>-9y-15=<span>30
</span>----------------------------
Add 15 to each side
<span><span>-9y-15</span>+15</span>=<span>30+<span>15
-9y = 45
</span></span>-----------------------------------
Divide each side by -9
-9y ÷ -9 = 45 ÷ -9
y = -5
Now we solve for x
====================================================================
Substitute -5 for y in x = y + 3
x=-<span><span>5</span>+<span>3
</span></span>x = -2
----------------------
(-2,-5) is your answer
Answer:
B. 5x - 4y = 12
Step-by-step explanation:
Let's convert this to slope-intercept form to interpret the equation easier.
5x - 4y = 12
Subtract 5x from both sides.
-4y = -5x + 12
Divide both sides by -4.
y = 5/4x - 3
Based on this, we know the slope is 5/4 and the y-intercept is (0, -3). When you count the rise over run in the picture and look at the y-intercept, they match.
Answer:
.5
Step-by-step explanation:
1 half of any thing is 50 percent and 50 percent is written as a decimal when you move the decimal point twice to the left giving you .5
Answer:
Step-by-step explanation:
A. The leading coefficient is the number on the highest degree term. We have a 2nd degree polynomial because of the power of 2 on the x. That's what leads this polynomial off. So the leading coefficient is the number stuck to that x-squared term. Our leading coefficient is a -.2, not 5. 5 is the linear term.
B. The constant is the number that doesn't have a variable stuck to it. Our constant, then, is -8, not 2.
C. The expression does in fact have 3 terms. Each term is separated from the other terms by either a plus sign or a minus sign. A polynomial with 3 terms is called a trinomial.
D. The expression actually factors to x = 1.718... and x = 23.281... Neither one of those is the factor given in the statement.
The only one that is true is C.
