Answer:
c=-35/4
Step-by-step explanation:
For this, we would use Vieta's theorem, which states the roots of the equation added together would equal -b/a, x₁ + x₂ = -b/a
Lets create a system with this:
x₁ - x₂ = 6 (This is given from the problem)
x₁ + x₂ = -b/a or -1/1, plugging in the values from your equation
next, we would add these systems together
x₁ + x₂ + (x₁ - x₂) = 6 + (-1)
x₁ + x₁ = 5
2x₁ = 5
x₁ = 2.5
If we plug x₁ back in, we get:
2.5 - x₂ = 6
-x₂ = 3.5
x₂ = -3.5
Now that we have the roots, we can use Vieta's theorem again to say
x₁ * x₂ = c/a
Plugging this in, we get:
2.5 * -3.5 = c/a
Lets change things to fractions to make things easier
5/2 * -7/2 = c/a
Plugging in a, we get
-35/4 = c/1
-35 = 4c
c = -35/4
Hope this helps!
Find the y-intercept of each exponential function and order the functions from least to greatest y-intercept. A function, g, has a growth factor of 2, an a value of 1, and passes through (1,-2). x f(x) 0 2 1 0 2 -6 3 -24 , ,
The y-intercepts of the functions are
Function h(x) = -1Function g(x) = -1Function f(x) = 2How to determine the y-intercepts?The complete question is added at the end of this solution as an attachment
As a general rule, the y-intercept is the point in an equation or a function where x = 0
Using the above as a guide, we have the following:
The y-intercept of function h(x) = -1The y-intercept of function f(x) = 2For the function g(x), we have
g(x) = abˣ
Using the given points (1, -2) and the growth factor of 2, we have
g(x) = a(2)ˣ
This means that
a(2)¹ = -2
So, we have
2a = -2
a = -1
So, the equation is
g(x) = -1(2)ˣ
Set x = 0
g(0) = -1(2)⁰
g(0) = -1
So, the y-intercept of function g(x) = -1
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Consider the equations and graph below.
y = negative 3 (x minus 1). Y = negative 3 x minus 1
On a coordinate plane, 2 lines are parallel to each other.
The equations on the graph have no solution
How to determine the solution to the systemFrom the question, we have the following equations that can be used in our computation:
y = -3(x - 1)
y = -3x - 1
Also, we have:
The lines are parallel to each other.
As a general rule:
Parallel lines are lines that do not intersect and they have the same slope
Because the lines do not intersect, it means that the system do not have any solution
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A Jar of Dill costs $7.64. A jar of dill contains 4 oz., and a cup of dill weighs 2 oz. How much will 1 tbsp cost
Answer:
$0.27875 or $0.28 1 cup = 2 ounces Number of cups in 1 jar = 4 ounce
Step-by-step explanation:
what happens to the mean for a trait in a population during directional selection what is being selected for?
When a population is subjected to directional selection over time, the traits that are selected for will remain stable while the traits that are selected against will disappear.
Evolution is the study of how populations change over time. Most traits have multiple genes controlling their structure, function, appearance, and other characteristics. Single genes only very infrequently control a trait.
As a result, most traits have a tendency to be continuous in nature and to have a wide range of values. One side of these values will be picked against during directional selection, while the other side will be selected in favor of. Look at the illustration of a lemur's fur color below.
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please help ASAP. DUE IN AN HOUR
According to the given statement the answer of angle A is [tex]\mathrm{m} \angle A=65^{\circ}[/tex].
What is the parallelogram?A parallelogram with the opposing sides perpendicular is called a quadrilateral (and therefore opposite angles equal). A parallelogram among all right angles generally known as a rectangle, whereas a quadrilateral having equal angles is known as a rhombus.
Briefing:[tex]\mathrm{m} \angle F G D=35^{\circ}\\\mathrm{m} \angle DFG=180^{\circ}-69^{\circ}\\\\[linear pair of angle]\\mathrm{m} \angle DFG=111^{\circ}\\\mathrm{m} \angle F DG=180^{\circ}-(35^{\circ}+111^{\circ})\\\\mathrm{m} \angle F DG=34^{\circ}[/tex]
because DC||AB, so
[tex]\mathrm{m} \angle BDC={m} \angle ABD=Alternate angle[/tex]
[tex]so, \mathrm{m} \angle ABD=34^{\circ}[/tex]
because the sum of interior angle of a triangle = 180
[tex]so, \mathrm{m} \angle A=180^{\circ}-(81^{\circ}+34^{\circ})\\ \mathrm{m} \angle A=65^{\circ}[/tex]
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