Answer:
c) 1,381.5.
Step-by-step explanation:
First term = 3.1 *1 - 2 = 1.1
2nd term = 3.1*2 - 2 = 4.2
3rd term = 3.1*3 - 2 = 7.3
so the common difference d = 3.1.
S30 = (30/2) [ 2* 1.1 + (30-1) * 3.1)]
= 1,381.5.
Answer:
f(3)=5
f(0)= -7
Step-by-step explanation:
replace
4(3)-7
f(3)=5
f(0)=4(0)-7
f(0)=0-7
f(0)= -7
Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
Let, the numbers = x,y
x+y= 24 1st eqn
x-y = 44 2nd eqn
24-y-y = 44
-2y = 44-24
y = 20/-2 = -10
substitute that in equation 1st x = 24+10 = 34
so, the numbers would be 34 & -10
Answer:
$20
Step-by-step explanation:
Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?
Step 1
Find out how many loaves of bread he can produce from 18 cups of flour
11 1/4 cups of flour = 5 loaves of bread
18 cups of flour = x loaves of bread
Cross Multiply
11 1/4 cups × x loaves = 18 cups × 5 loaves
x loaves = 18 cups × 5 loaves/ 11 1/4 cups
x loaves = 90 ÷ 11 1/4
x loaves = 90 ÷ 45/4
x loaves = 90 × 4/45
x loaves = 8 loaves of bread
He can produce 8 loaves of bread from 18 cups of flour.
Step 2
We are told that:
1 loaf of bread costs $2.50
Hence,
1 loaf of bread = $2.50
8 loaves of bread = $x
Cross Multiply
$x = 8 loaves of bread × $2.50
$x = $20
Therefore, Paul made $20 from his bread sales
