Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7
1 answer:
Answer:
(-1.703, 2.396)
(1.37, 6.493)
Step-by-step explanation:
We can easily solve this question by using a plotting tool or any graphing calculator,
The solution to the system of equation is given by the intersection points between the graphs of
y1 = −x^2 + x + 7
y2 = x^2 + 3x + 7
Please, see attached picture below.
The solutions are:
(-1.703, 2.396)
(1.37, 6.493)
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Option C:
5, 1, 7
Solution:
Given equation:
y = |3x + 1|
In the chart, x values are given as –2, 0, 2.
To find the value of y for the corresponding x given.
Substitute x = –2 in the equation of y.
y = |3(–2) + 1|
= |–6 + 1|
= |–5| (Absolute value of a negative number is positive)
y = 5
Substitute x = 0 in the equation of y.
y = |3(0) + 1|
= |0 + 1|
= |1|
y = 1
Substitute x = 2 in the equation of y.
y = |3(2) + 1|
= |6 + 1|
= |7| (Absolute value of a negative number is positive)
y = 7
Option C is the correct answer.
The values of y are 5, 1, 7.
The answer image of the table is attached below.
Answer:
There must be 35 red marbles.
Step-by-step explanation:
This question can be solved using a rule of three.
A probability is the number of desired outcomes divided by the number of total outcomes.
The probability of randomly choosing a red marble is 7/9.
This means that for each set of 9 marbles, 7 must be red.
There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
How many red marbles out of 45?
7 red - 9 marbles
x red - 45 marbles
Simplifying by 9
There must be 35 red marbles.