Johnny and Dawn were in a Math competition.
1 answer:
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Answer:
Step-by-step explanation:
Jasmine is baking and selling cupcakes for $15 per dozen.
Let x be the number of dozens of cupcake made by Jasmine.
Her total sales= Sales Per Dozen X Number of Dozens of cupcake sold
= $15 X x = $15x
Since she would like to make more than $120 in cupcake sales.
It means her total sales must be greater than $120.
15x>120
x>120/15
x>8
The number line attached represents the solutions to the situation.
All integers to the right of 8 (excluding 8) satisfies the situation.
Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
.
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic , the discriminant is
.
(The discriminant is more commonly known as , but I changed the variable since we already have a
in the quadratic given.)
In the quadratic above, we have ,
, and
. Plugging this into the formula for the discriminant, we have
.
Using the distributive property to expand and simplifying, the expression becomes
Setting the discriminant equal to 0 gives
.
We can then solve the equation as usual: first, divide by 2 on both sides:
.
Squaring both sides gives
,
and subtracting 5 from both sides, we have