Answer:
45 points
Step-by-step explanation:
Average= sun of all numbers/ no. of numbers
33= (23+35+27+48+18+35+x)/7
33= 186+x/7
33×7= 186+ x
231= 186+x
x= 231- 186
x= 45
Answer:
5x– 10 + x'=2x= (5)(x) –(5)(2) + (x)(x) – (2)(x) = 5(x-2) + x(x-2)
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
According to the Factor Theorem, if (<em>x</em> - <em>a</em>) is a factor (where <em>a</em> is a zero) of the polynomial P(x), then P(a) must equal zero.
Our zeros are 4, √7, and - √7. Hence, when evaluating P(4), P(√7), and P(-√7), all must evaluate to zero.
Testing each choice, we can see that only choice B is true. That is:

In conclusion, our answer is B.
Answer:
3 boxes
Step-by-step explanation:
First, we find how many cubes are in each box, then we find how many boxes you need for 140 cubes.
<u>To find the number of cubes in a box we need to find the volume of the figure</u>
the top is 2 wide and 4 long so there are 8 cubes on each layer. Sense it is 8 cubes tall with 8 cubes on each layer the model has 8×8=64 cubes in each box.
<u>Now we divide then round up to find how many full boxes she needs to get 140 cubes or more.</u>
If 1 box has 64 cubes and she needs 140 cubes 140/64=2.187. Now we round up sense he can't buy a fraction of a box and the answer is: She needs 3 boxes
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
Given that the slope is 3, we can plug this into y=mx+b as <em>m</em>:
Now, to solve for <em>b</em>, simply plug in the given point:

Therefore, the y-intercept is 5. Plug this back into the equation:
I hope this helps!