To determine the value of ↑ which the equation ax²-3x-5=0 has 1 as a root, we substitute x=1 into the equation and solve for a, yielding the result that a=8.
To find the value of a for which the equation ax² - 3x-5=0 has 1 as one of its roots, we can substitute x=1 into the equation and solve for a. When x=1, the equation simplifies to:
a(1)² - 3(1) - 5 = 0
a - 3 - 5 = 0
a - 8 = 0
Therefore, a = 8.
This means that the value of a is 8 for the equation to have 1 as one of its roots. This is a direct application of the fact that if a polynomial has a certain number as a root, then by substituting that number in place of the variable, the equation should result in zero.
which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3
15% of the bands total ticket sales is $375. Which proportion should we use
Solve for x. x − 4 1/6 = 9 1/3 A) −131 2 B) −51 6 C) 131 2 D) 51 6
at halloween 3/10 of the candy robin receivd was chocolate. what percent of candy was chocolate,
PLEASE HELP ME!!!!!!!
What is an atom? GIVING BRAINLIEST 30 POINTS PLEASE HELP
Question 1 options:
an indivisible particle
one of the three particles that make up all matter
an element without an electrical charge
the basic particle that makes up matter
Question 2 (1 point) Question 2 Unsaved
What is a neutron?
Question 2 options:
a subatomic particle with no electric charge, found in the electron cloud
a subatomic particle with no electric charge, found in the nucleus of an atom
a subatomic particle with no electric charge, found in the neutron cloud
a subatomic particle with either a positive or negative electric charge, found in the nucleus of an atom
Question 3 (1 point) Question 3 Unsaved
What is a proton?
Question 3 options:
a subatomic particle with a -1 negative electric charge, found in the proton cloud
a subatomic particle with a +1 positive electric charge, found in the nucleus of an atom
a subatomic particle with a -1 negative electric charge, found in the nucleus of an atom
a subatomic particle with a +1 positive electric charge, found in the proton cloud
Question 4 (1 point) Question 4 Unsaved
What is an electron?
Question 4 options:
a subatomic particle with a +1 positive electric charge, found in the electron cloud
a subatomic particle with a -1 negative electric charge, found in the nucleus of the atom
a subatomic particle with a +1 positive electric charge, found anywhere in an atom
a subatomic particle with a -1 negative electric charge, found in the electron cloud
Question 5 (1 point) Question 5 Unsaved
What is an electron cloud?
Question 5 options:
the area surrounded by the nucleus of an atom, where electrons and neutrons can be found
the area that surrounds the nucleus of an atom, where electrons can be found
the area that surrounds the nucleus of an atom, where electrons and neutrons can be found
the area surrounded by the nucleus of an atom, where electrons can be found
Question 6 (1 point) Question 6 Unsaved
What is an ion?
Question 6 options:
an atom with either more or fewer electrons than protons, giving the atom either a positive or negative charge
an atom with either more or fewer neutrons than protons, giving the atom a different atomic mass
an atom with either more or fewer electrons than protons, giving the atom a significantly different atomic mass
an atom with either more or fewer neutrons than protons, giving the atom either a positive or negative charge
Question 7 (1 point) Question 7 Unsaved
What are isotopes?
Question 7 options:
atoms of the same element that have different atomic masses because they have different numbers of protons
atoms of the same element that have different atomic masses because they have different number of electrons
atoms of the same element that have different electric charges because they have different numbers of neutrons
atoms of the same element that have different atomic masses because they have different numbers of neutrons
Question 8 (1 point) Question 8 Unsaved
Which statement is FALSE?
Question 8 options:
An ion can be either positively or negatively charged
Isotopes are caused by different numbers of neutrons in the electron cloud
Question 9 (1 point) Question 9 Unsaved
Look at the timeline below. What is missing from the timeline?
Question 9 options:
1913 CE: Bohr proposed that electrons can change their orbit with a change of energy. He calls the orbits valence shells.
Question 10 (1 point) Question 10 Unsaved
What is the overall charge of an atom’s nucleus?
Question 10 options:
positive
neutral
negative
It depends on how many protons are in the nucleus.
It depends on how many neutrons are in the nucleus.
Question 11 (1 point) Question 11 Unsaved
Where is most of the mass in an atom?
Question 11 options:
electrons
nucleus
electron cloud
protons
neutrons
Answer:
1. Option 4
2. Option 2
3. Option 2
4. Option 4 (not completely sure)
5. Option 2
6. Option 1 (not completely sure)
7. Option 4
8. Isotopes are caused by different numbers of neutrons in the electron cloud
9. Not sure of the question
10. Positive charge
11. nucleus
Step-by-step explanation:
Give the guy above me brainliest.
one bag of toy animals weigh12 ounces. what is the total weight, in ounces, of the bags of toy animals in one crate
Please help with number 4 please !!
What are the solutions to the equation √ ̅5x + 1 = x + 1?
given that 1 is a zero of p(x)=3x^4-x^3-8x^2+2x+4, factor the polynomial completely, and then list all its zeros.
In one week, the Green Recycling Center
received 784 aluminum cans. They
received the same number of cans each
day. How many cans did the recycling
center receive each day?
Experts/ace/geniuses helpp
Rosa paints a wall in her bedroom. She puts green paint on 5/8 of the wall and blue paint on 3/8 of he wall. Compare fractions using <>=
Bob traveled 90 miles which was 250/3 % of his trip. How many miles did he still have to travel?
Answer:
18
Step-by-step explanation:
[tex]90[/tex] ÷ [tex]\frac{250}{3} = 1.08[/tex]
This is 1% of the trip
[tex]1.08[/tex] · [tex]100 = 108[/tex]
This is the amount of the whole trip
[tex]108 - 90 = 18[/tex]
So the answer is he has to 18 more miles to travel.
Nancy has nine books and she has read 8 total books Sally has two times more books the Nancy how many books does Sally have
Sally has 18 books, as she has two times more books than Nancy, who has 9 books. The equation used is Sally's books = 2 × Nancy's books. Therefore, 2 × 9 = 18.
To determine how many books Sally has, we need to understand that she has two times more books than Nancy. Nancy has a total of 9 books.
The equation we use here is:
Sally's books = 2 × Nancy's booksGiven Nancy's books = 9:
Sally's books = 2 × 9 = 18Therefore, Sally has 18 books.
Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is shown below.
mc011-1.jpg
What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
The solution of the equation [tex]-x^2+2x+3=x^2-2x+3[/tex] are the x-coordinates of common points on the graphs of the function [tex]y=-x^2+2x+3[/tex] and [tex]y=x^2-2x+3.[/tex]
As you can see from the attached diagram these graphs intersect at points (0,3) and (2,3), then the solutions of the previous equation are x=0 and x=2.
Answer: x=0, x=2.
Sven investigates the amount of damage to the head gaskets on the trucks in his fleet and find that the damage index depends on the ambient temperature. He develops the equation y = - 2 3 x + 14 to model the relationship. What does 14 mean? A) The temperature only adds 14 to the damage index. B) If there is no damage index then the ambient temperature is 14. C) If the damage index is 0, then the ambient temperature would be 0. D) If the ambient temperature is 0 then the damage index would be 14.
Given is the damage index equation, [tex] y=\frac{-2}{3} x+14 [/tex]
where y represents damage index, and x represents ambient temperature.
It is similar to slope-intercept form of linear equation given by y = mx + b.
Where m is said to be the slope of line and b is the y-intercept of the line. When x = 0, y = b.
Similarly, if plug x = 0 in the damage index equation, [tex] y=\frac{-2}{3} (0)+14=14 [/tex]
So, If ambient temperature, x = 0. Then damage index, y = 14.
Hence, option D is correct i.e. " If the ambient temperature is 0 then the damage index would be 14".
Answer:
The answer is D because 14 is the y-intercepts, which means that the x-value is 0. So the correct meaning is If the ambient temperature is 0 then the damage index would be 14. .
Step-by-step explanation:
find the area of an equilateral triangle (regular 3-gon) with the given measurement 9-inch A=sq. in.
A flagpole that was originally 24 feet tall has cracked 9 feet from the ground and has fallen as if hinged. Find
out how far from the base of the flagpole the top of the flagpole touched after it had fallen.
Find the midpoint of side EF. Figure EFGH is shown. E is at negative 2, 3. F is at 1, 6. G is at 4, 3. H is at 1, 0. (−1, 4) (−0.75, 4.25) (−0.5, 4.5) (−0.25, 4.75)
Hence, the mid-point of side EF is located at:
(-0.5,4.5)
Step-by-step explanation:We know that the coordinates of a mid-point C(e,f) of a line segment AB with vertices A(a,b) and B(c,d) is given by:
[tex]e=\dfrac{a+c}{2},\ f=\dfrac{b+d}{2}[/tex]
Here we have to find the mid-point of side EF.
E(-2,3) i.e. (a,b)=(2,3)
and F(1,6) i.e. (c,d)=(1,6)
Hence, the coordinate of midpoint of EF is:
[tex]e=\dfrac{-2+1}{2}\ ,\ f=\dfrac{3+6}{2}\\\\\\e=\dfrac{-1}{2}\ ,\ f=\dfrac{9}{2}\\\\\\e=-0.5\ ,\ f=4.5[/tex]
Hence, the mid-point of side EF is:
(-0.5,4.5)
What is BP? Enter your answer as a decimal in the box
if 10/4 = 14/x what is x?
How do you find the perimeter of a tennis court with an area of 7,200?
Using synthetic division, find (x4 − 2) ÷ (x + 1).
Answer:
Step-by-step explanation:
We have given:
x^4-2/x+1
Put x+1 = 0
x= 0-1
x= -1
-1 | 1 0 0 0 -2
| -1 1 -1 1
_______________
1 -1 1 -1 -1
Thus it makes the expression:
x^3-x^2+x-1 - 1/x+1
You can further confirm this expression by solving the expression:
(x4 − 2) ÷ (x + 1).
x^4 - 1 -1/x+1
x^4-1/x+1 - 1/x+1
(x^2-1) (x^2+1)/x+1 - 1/x+1
(x-1)(x+1) (x^2+1)/x+1 - 1/x+1
x+1 n the numerator will be cancelled out by x+1 in the denominator.
(x-1) (x^2+1) - 1/x+1
Multiply (x^2+1) by x-1
x(x^2+1) -1(x^2+1) - 1/x+1
x^3+x-x^2-1 - 1/x+1
x^3-x^2+x-1 - 1/x+1 ....
A set of scores ranges from a high of x = 96 to a low of x = 11. if these scores were placed in a grouped frequency distribution table, what is the best value for the interval width?
The best value for the interval width is 17
The highest and the lowest data elements are given as:
x = 96
x = 11
Start by calculating the range
Range = High - Low
So, we have:
Range = 96 - 11
Range = 85
The interval width depends on the number of classes.
Assume that the number of classes is 5,
Then the width is calculated as:
Width = Range / Class
So, we have:
Width = 85/5
Width = 17
Hence, the number of interval width is 17
Read more about interval width at:
https://brainly.com/question/16631975
Claire bought 3 bars of soap and five sponges for $2.31. Steve bought five bars of soap and three sponges for $3.05. Find the cost of each item
Zakir loans Panji $20,000 for one year at 8% simple interest. Three months later, Zakir sells the note to Ben at a simple discount rate of 7 3/4%. How much does Ben pay for the note?
In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π4 radians. What is the arc length? Use 3.14 for π . Enter your answer as a decimal in the box.
Answer:
[tex]Arc length=32.97m[/tex]
Step-by-step explanation:
It is given that In a circle with a radius of 6 m, an arc is intercepted by a central angle of [tex]\frac{7\pi}{4}[/tex] radians.
Then, the arclength of the circle is given as:
[tex]Arc length=radius{\times}central angle[/tex]
⇒[tex]Arc length=6{\times}\frac{7\pi}{4}[/tex]
⇒[tex]Arc length=\frac{21\pi}{2}[/tex]
⇒[tex]Arc length=10.5{\times}3.14[/tex]
⇒[tex]Arc length=32.97m[/tex]
Thus, the arc length of the given circle is 32.97m.
The diagonals of a rhombus are 12 in. and 16 in. long. The length of a side of the rhombus is 10 in. What is the height of the rhombus? Explain how you found your answer.
What is the volume of a cube with an edge length of 2.7 centimeters?
Enter your answer, as a decimal, in the box.
cm³
Answer:
the answer is V≈19.68cm³
V=a3
a
Edge
cm
Step-by-step explanation:
a rectangular prism has a top area of 20ft square and a height of 5ft. what is the volume of this rectangular prism