Answer:
Step-by-step explanation:
Let x represent the number of hours that that he spent washing cars.
Let y represent the number of hours that that he spent landscaping.
In a week, he can work no more than 19 total hours. This means that
x + y ≤ 19- - - - - - - - - - - -1
Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that
10x + 8y ≥ 170 - - - - - - - - - -2
If Jacob worked 4 hours landscaping, it means that
x + 4 ≤ 19
x ≤ 19 - 4
x ≤ 15
Also,
10x + 8 × 4 ≥ 170
10x + 32 ≥ 170
10x ≥ 170 - 32
10x ≥ 138
10x ≥ 138/10
x ≥ 13.8
The minimum number of hours is 14
Answer:
The V-shaped graph opens downward, and its vertex lies at (1, 12).
Step-by-step explanation:
- first, plot the graph of f(x),
- take some 5 random negative and positive x values and then find corresponding f[x] values.plot f(x) on y-axis. now, plot these points on the graph and finally join all the points. this gives u the required graph.
- I have plotted the graph and uploaded it.
refer it.
- by seeing the graph, we can easily say that,The V-shaped graph opens downward, and its vertex lies at (1, 12).
Answer:
Divide
Step-by-step explanation:
Divide everything on both sides of the equal sign by the coefficient to get rid of it. This only works in this example.
Please Brainliest
Happy Holidays
Answer:
2 and 7 are the prime numbers.
Step-by-step explanation:
Answer:
Solution
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m
2
−3m−1=0
m
2
−3m=1 → (1)
Third term =(
2
1
coeeficientofm)
2
(
2
1
×(−3))
2
=(
2
−3
)
2
=
4
9
Adding
4
9
to both sides of equation (1), we get
m
2
−3m+
4
9
=1+
4
9
∴ m
2
−3m+
4
9
=
4
4+9
∴ (m−
2
3
)
2
=
4
13
Taking square roots on both sides
∴ m−
2
3
=±
2
13
∴ m=
2
3
+
2
13
or m=
2
3
−
2
13
m=
2
3+
13
,
2
3−
13
are the roots of the given quadratic equation.
