Solve for m.
Add 7 to both sides to get 3m=15
Then divide by sides by 3 to get m=5.
The final answer is m=5.
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
A function assigns the value of each element of one set to the other specific element of another set.
The x-intercepts of the function f(x) = x² + 4x + 3 can be found as shown below.
f(x) = x² + 4x + 3
0 = x² + 4x + 3
0 = (x+3)(x+1)
x = -3, -1
Now, it can be seen that Mathieu has actually set the factored expressions equal to each other, which was wrong.
Hence, the correct option is C.
Learn more about Function:
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Answer:
I can't see Mathieu's work but I will show the right steps and maybe you can find where Mathieu went wrong.
f(x)=x^2+4x+3
f(x)=(x+3)(x+1) Since 3*1=3 and 3+1=4
The x-intercepts can be found by setting y to 0 and solving for x
(in other words replace that f(x) thing with 0 and solve for x)
0=(x+3)(x+1)
Now set both factors equal to 0
x+3=0 or x+1=0
x =-3 x=-1
The x-intercepts are at (-3,0) and (-1,0)
Answer: x=5√3(you've got it correct!)
y=15
In∆ADC,
Cos 60°=DC/10
DC=5
y=20-5
y=15
Answer:
Step-by-step explanation:
Look at the picture.
ΔABC, ΔDBA and ΔDAC are the triangles 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.
Therefore
DC : AD : AC = 1 : √3 : 2
If AC = 10, then DC = 10 : 2 = 5 and AD = x = 5√3
AD : BD : AB = 1 : √3 : 2
If AD = 5√3, then AB = 2 · 5√3 = 10√3 and BD = y = 5√3 · √3 = 5 · 3 = 15
B y=70x+100 D y=70x
Speed is the rate of change of distance over time.
The equation that shows the relationship is
The given parameters are:
Distance = 100 yards
Speed = 70 miles per hour
Speed is calculated as:
So, we have:
Multiply both sides by x
Hence, the equation that shows the relationship is
Read more about distance and speed at:
Answer with Step-by-step explanation:
The cheetah was clocked running 70 miles per hour.
i.e. in 1 hour cheetah covered 70 miles
in 2 hours cheetah covered 140 miles
in 3 hours cheetah covered 210 miles
in general, in n hour cheetah covered 70n miles
If y denote the distance covered
and x denotes the time cheetah runs
Then, y=70x
Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:
D y=70x