Answer:
y-intercept: (0,6)
slope = -2
equation: y = -2x + 6
Step-by-step explanation:
1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.
2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula 
and solve:
So, the slope is -2.
3) With the found information, use the slope-intercept formula 
to write the line's equation. Substitute values for the 
and 
.
represents the slope, so substitute -2 in its place. represents the y-intercept, so substitute 6 in its place. This gives the following equation:
Answer:
-29
Step-by-step explanation:
5x +30 +3x =2+8x+1
x= -29
Answer:
SInce you have not posted the full question so I will tell you the answer through the question you have just posted.
A. slope-intercept is 0
B. slope-intercept is 4
C. sope-intercept is 5/4
D. slope-intercept is -5/4
Step-by-step explanation:
To find the slope intercept easily by the following equations. just write the value besides x.
Equation is y = mx + c
m is the slope and c is the constant.
<h3>Answer: 750</h3>
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Explanation:
If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).
There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.
There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.
That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.
Answer:
240cm³
Step-by-step explanation:
First, let's assume the entire shape is full rectangular prism without that has the middle being cut out.
What this means is that, to get the volume of the solid made out of clay, we would calculate the solid as a full rectangular prism, then find the volume of the assumed middle cut-out portion. Then find the difference between both.
Let's solve:
Find the volume of the rectangular prism assuming the solid is full:
Volume of prism = width (w) × height (h) × length (l)
w = 4cm
h = 7cm
l = 3+6+3 = 12cm
Volume of full solid = 4*7*12 = 336cm³
Next, find the volume of the assumed cut-out portion using same formula for volume of rectangular prism:
w = 4cm
h = 7-3 = 4cm
l = 6cm
Volume of assumed cut-out portion = 4*4*6 = 96cm³
Volume of solid made from clay = 336cm³ - 96cm³ = 240cm³
