The linear function has an equation
y = -3x + 6
The equation of the circle is
<span>y2 + x2 = 16
Substituting
(-3x + 6)^2 + x^2 = 16
This quadratic equation has real solutions which mean that the line and the circle will intersect
</span>
6k + 2 = 8
Isolate the 8. Do the opposite of PEMDAS.
Note the equal sign. What you do to one side you do to the other.
Subtract 2 from both sides
6k + 2 (-2) = 8 (-2)
6k = 8 - 2
6k = 6
Isolate the k, divide6 from both sides.
6k/6 = 6/6
k = 6/6
k = 1
1 is your answer.
Hope this helps
Answer:
210
Step-by-step explanation:
add 30 with 60 multiplied by 3
25. time = distance/speed
It took about 432 milliseconds for the ball to travel to the batter.
26. 15 cans at Save Rite will cost 5 times the amount for 3 cans, so will be
... 5×$5.25 = $26.25
15 cans at Spend Less will cost 3 times the amount for 5 cans, so will be
... 3×$7.50 = $22.50
Maria paid $22.50 at Spend Less.
27. Simple interest is computed using
I = Prt . . . . where P is the principal, r is the annual rate, and t is the number of years.
Filling in the numbers gives the interest charge.
I = $8000×0.065×4 = $2080
Malik pays back the principal plus interest, so pays $8000 +2080 = $10,080.
Step-by-step explanation:
what's the question ? it does not say.
I assume it is "how many packages of what size were sold ?"
x = number of small packages
y = number of medium packages sold
z = number of large packages sold
x + y + z = 9
7x + 12y + 15z = 86
y = 3z
these are the 3 equations we get out of the question.
we put the third equation into the other two :
x + 3z + z = x + 4z = 9
7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86
it of this first equation we get
x = -4z + 9
and putting that into the other equation :
7×(-4z + 9) + 51z = 86
-28z + 63 + 51z = 86
23z = 23
z = 1
y = 3z = 3×1 = 3
x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5
so, 5 small, 3 medium and 1 large packages were sold.
