Answer:
Step-by-step explanation:
We want to find
This can be rewritten as;
Recall that; 
We evaluate now to obtain;
Answer:
d - 7
Step-by-step explanation:
The word "difference" tells us that we will be using subtraction. Also, subtraction is not the same if you reverse the terms like, x - 2 and 2 - x are not the same. In your question it say "d and 7" so that's the order we use in the algebraic expression.
Answer:
B
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real irrational roots
• If b² - 4ac > 0 and a perfect square then 2 real rational roots
• If b² - 4ac = 0 then 1 real double root
• If b² - 4ac < 0 then 2 complex roots
Given
x² + 3x - 7 = 0 ← in standard form
with a = 1, b = 3, c = - 7 , then
b² - 4ac
= 3² - (4 × 1 × - 7) = 9 + 28 = 37
Since b² - 4ac > 0 then 2 real irrational roots
Answer:
cups
Step-by-step explanation:
Given: A baker is using a cookie that calls for 2 
cups of flour to yield 36 cookies.
To find the number of flour will the baker need to make 90 cookies, we form a proportion.
Let's convert 2 to improper fraction.
Let "x" be the amount flour to make 90 cookies
<u>Amount of Flour</u> <u>Number of cookies</u>
36
x 90
Now form a proportion.
Now let's cross multiply, we get
Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get
x = cups
So the baker needs cups to make 90 cookies.
Answer:
the answer is b the solution is 6
