Answer:
(x+1)(2x+5)
Step-by-step explanation:
f(x) = 2x² + 7x + 5
Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.
a+b=7
ab=2×5=10
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.
1,10
2,5
Calculate the sum for each pair.
1+10=11
2+5=7
The solution is the pair that gives sum 7.
a=2
b=5
2x²+7x+5 as (2x²+2x)+(5x+5).
(2x²+2x)+(5x+5)
Factor out 2x in the first and 5 in the second group.
2x(x+1)+5(x+1)
Factor out common term x+1 by using distributive property.
(x+1)(2x+5)
She is correct.
She starts with 50
Each square foot adds 3 dollars...
so Square feet can be represented by x, and cost will be y... giving this linear function:
y=3x+50.
Answer:
Step-by-step explanation:
In standard form this could be rewritten as | b - 0 | > 6, which in words, says,
"b is greater than 6 units away from 0 on a number line". If b is greater than 6 units away, both positive 6 and negative 6 are 6 units away from 0. Because the values we need are greater than 6 units away from 0, we are starting at both 6 and -6 and moving away from 0.
The "greater than" symbol indicates that this is a disjunction so the word "or" is used as opposed to in a conjunction where the word "and" is used.
Therefore, our solutions are
b < -6 or b > 6, the 3rd choice down
Answer: No, these results are not statistically significant because
p > 0.05
Step-by-step explanation:
The null hypothesis is
H0 : μ = 17
The alternative hypothesis is
H 1 : μ ≠ 17
where μ is the mean amount of cereal in each box.
The p value that he got is 0.1499. This is greater than alpha = 0.05 which is the given level of significance.
If the level of significance is lesser than the p value, we would accept the null hypothesis.
Therefore, the correct option is
No, these results are not statistically significant because p>0.05
Answer:
Step-by-step explanation:
<u>Given:</u>
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
<em>And,</em>
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
<u>To Find</u>:
The Area of Shaded region
<u>Solution:</u>
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:
We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .
Put their values accordingly:
<u>Simplify it.</u>
<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>
Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .
I hope this helps!
