Answer:
(1.13, 7.74) and (-4.13, 18.26)
Step-by-step explanation:
This can be solved in two ways: mathematically and graphically.
<u>Graphing</u>
Plot both lines and find where they intersect. See the attachment.
The intersection points are (1.13, 7.74) and (-4.13, 18.26)
<u>Mathematical</u>
y + 2x = 10
y = 10 - 2x
y = 3x² + 7x - 4
10 - 2x = 3x² + 7x - 4
3x² + 9x - 14 = 0
Solve this using the quadratic equation:
x = 1.13 and -4.13
Use these two values of x to find y:
y = 10 - 2x
y = 10 - 2(1.13)
y = 7.74
y = 10 -2x
y = 10 -2(-4.13)
y = 18.26
The two points are:
(1.13, 7.74) and (-4.13, 18.26)
Answer:
-9/50
Step-by-step explanation:
Answer:
The ratio 2 1/2 to 6 1/2 is
Step-by-step explanation:
Ratio:
In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.
It is also the Fraction
.
For example, if a bowl of fruit contains eight apples and six kiwis, then the ratio of apples to kiwis is eight to six.
i.e 8:6, which is equivalent to the ratio 4:3.
Now here,
Ratio of 2 1/2 to 6 1/2
OR
Answer:
Step-by-step explanation:
Hello, when you have an equation like y = ax+b you know that this is a line.
In this example, the function is defined in two different intervals.
For x < 1 this is the line y = 4 + x
and for x>=1 this is the line y = 4 - 2x
At the frontier, x= 1, we have 4+1=5 on one side and 4-2=2 on the other side, we we expect a "jump" in the graph.
Except that "jump"you just have to draw lines, so if you have two points you can draw them right.
For x<1, the line is passing by (-4,0) and (0,4)
And you have to stop for x<1 so the point (1,5) is not on the graph.
for x>=1 the points (1,2) and (2,0) are on the graph and we just have to draw the line.
I attached the graph.
Thanks
Answer:
11.5
Step-by-step explanation:
1.50 x 5 = 7.50
0.74 + 3.25 = 4
7.50 + 4 = 11.5
