2x ^2 −5=3x
Which of the following describes the solutions to the equation above?
A)The equation has two distinct rational solutions.
B)The equation has two distinct irrational solutions.
C)The equation has one distinct real solution.
D)The equation has no real solutions.
Answer:a
Step-by-step explanation:
The solutions to the given equation will be two distinct rational solutions, i.e. option A.
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]2x ^2 -5=3x[/tex]
Now,
Rearrange the equation,
[tex]2x ^2 -3x-5=0[/tex]
Now,
Using the mid term splitting method,
[tex]2x ^2 -3x-5=0[/tex]
i.e.
[tex]2x ^2 -5x+2x-5=0[/tex]
Now,
Taking common,
[tex]2x ^2 +2x-5x-5=0[/tex]
i.e.
[tex]2x (x +1)-5(x+1)=0[/tex]
We get,
[tex](x +1)(2x -5)=0[/tex]
Now,
(x +1) = 0
⇒ x = -1
Now,
(2x -5 )= 0
⇒ [tex]x =\frac{5}{2} =2.5[/tex]
So, the solutions of the given equation are -1 and 2.5.
Hence, we can say that the solutions to the given equation will be two distinct rational solutions, i.e. option A.
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which of the following equations would have 2 x-intercepts
Answer:
None of these
Step-by-step explanation:
because if we plug in every time we will gwt one solution of X
Q2.
Sarah wants a music magazine each month for a year. She can
pay £3.50 each month
or
pay £37.20 for the year.
Sarah pays £37.20 for the year. How much cheaper is this than paying £3.50 each month?
Maybe 4.80
Step-by-step explanation:
What is the coefficient of the x^2-term of the product
Answer:
it's x
Step-by-step explanation:
x is what is being raised by 2
Answer:
1
Step-by-step explanation:
The coefficient of x^2 is 1 because there is no real number in front of it
Hope this helped! Please mark me brainliest!
Sandy wants to make brownies. To make brownies, she needs 2/3 of a cup of flour
per batch of brownies. If Sandy has 6 cups of flour, then how many batches of brownies
can Sandy make?
Answer:
9
Step-by-step explanation:
6 divided by 2/3 = 9
Determine the smallest integer value of x in the solution of the following inequality.
-x-2≤5
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-x-2≤5 Equation/Question
Step 2
-x-2≤5 Simplify
-x≤7
Step 3
-x≤7 Divide
answer
x≥-7
Can someone please answer
Hello!
We can graph by finding critical points - intersections, y-intercepts, x-intercepts.
Find the intersection point by setting the two equations equal to each other:
-4x + 3 = x - 2
Subtract x from both sides:
-5x + 3 = - 2
Subtract 3 from both sides:
-5x = -5
Divide both sides by -5:
-5x/(-5) = -5/(-5)
x = 1
Find the y-value of intersection by plugging in x = 1 into an equation:
y = 1 - 2 = -1
Intersection at (1, -1)
Find the x and y intercepts of each equation:
y = -4x + 3
Set x to 0 to find the y-intercept:
y = -4(0) + 3 = 3
Set y to 0 to find the x-intercept:
0 = -4x + 3
-3 = -4x
x = 3/4
Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).
y = x - 2
Set x to 0 to find the y-intercept:
y = 0 - 2 = -2
Set y to 0 to find the x-intercept:
0 = x - 2
x = 2
Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).
Graph the two equations with the solved critical points:
y = -4x + 3
--> (1, -1)
--> (0, 3)
--> (3/4, 0)
y = x - 2
--> (1, -1)
--> (0, -2)
--> (2, 0)
**Graphed below**
Which of the following numbers is not a prime number?
7
9
3
13
Answer:
9 is not a prime number.
Answer:
9 is not a prime number. Hope that helps.
If Janis and Melanie make bracelets one afternoon during Choice time. They make six bracelets each. They feel generous and give away 3 bracelets each to their classmates. How many do each of them have left?
Consider the sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis
Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to ∞.
Answer:
Its Actually C, just took the quiz right now
Step-by-step explanation:
The sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis, is a converging sequence, that converges to 1.
Hence, the 3rd option: "The sequence converges to 1.", is the best choice.
What does converging and diverging mean?Converging signifies a movement toward something. Diverging denotes moving away from something.
How to solve the question?In the question, we are given a sequence: Three-halves, four-thirds, five-fourths, six-fifths, ellipsis.
This can be shown as 3/2, 4/3, 5/4, ...
The general term of this series is (n + 2)/(n + 1).
As it is going on continuously to infinite,
The term can be shown as:
[tex]lim_{n\rightarrow \infty }\frac{n + 2}{n + 1} \\= lim_{n\rightarrow \infty }1 + \frac{1}{n+1} \\=lim_{n\rightarrow \infty }1 + lim_{n\rightarrow \infty }\frac{1}{n+1} \\= 1 + 0 \\= 1[/tex]
Thus, we can see that the sequence, gradually moves to a point. Thus it is converging in nature.
Also, the point it converges is 1.
Hence, 3rd option is the best choice.
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Yesterday a chef used 36 eggs to make 8 chocolate souffles and 3 lemon meringue pie. The day before, he made 2 chocolate souffles and 2 lemon meringue pies, which used 14 eggs. How many eggs does each dessert require?
Write the system. Define your variables.
plshelpme¡¡¡¡1
Answer: Well first one chocolate souffles uses 3 eggs and each lemon maringue uses 4
Step-by-step explanation: First what i did was look at the question and it shows that there is two sets, so you have to plug in some random numbers and i started at o and if you do 8*1 you would have 1 egg per each souffles and you would have 28 eggs left and that won't work because 28/3 gives some long and then i tried 2... and 8*2 is 16 so you would have 20 eggs left and of course another long answer. But if you try three, 8*3 it gives you 24 so 36-24 and you get 12 and 3*4 is 12.. so then i plugged the same numbers in for the second part.. 3*2=6 and 4*2=8 and 6+8=14
if you need better more im here to help... have a good dayy!! (✿◡‿◡)
There are approximately 3.3 million births in a country each year. Find the birth rate in units of births per minute.
Answer:
8,760
Step-by-step explanation:
365 X 24
Full time tuition at Duke University is $55960 per year. Round this number to the nearest hundred.
1. How would you describe the strugure of the Yavapai-Apache Nation's government? 2. What is one check or balance mentioned in this section of the constitution?
I will give brainliest
What is the equation that represents this pattern
Thanks
Answer:
something like f(t)=t+3
Step-by-step explanation:
4. The elves at the North Pole could make 23 gifts per minute. How many gifts could they In make in 2 hours?
the elvs can make 46 presents
Help plz:)))I’ll mark u Brainliest
Answer:
ST = 8 m
Step-by-step explanation:
If those two triangles are congruent, then you have to orientate them so that Q and T overlay each other. You get that from the directions. P is first mentioned. so S must be 59 degrees.
Therefore PQ and ST must be corresponding sides.
ST = 8m
HELP! whoever gets it right gets brainliest!!!
A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is $13.25, and tickets cost $31.50 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
Step-by-step explanation:
13.25x + 31.50x≤155
44.75x≤150
Plz help me this is 7th grade math
Answer:
the picture is too small i can not see clearly
Step-by-step explanation:
Amy rides her bicycle for 3 hours at a speed of 40 miles per hour. What distance does she travel? Immersive Reader (1 Point) 13.3 miles 0.075 miles 120 miles 43 miles
Answer:
120
Step-by-step explanation:
3 * 40 = 120
3. The radius of a circle is 14 yds. What is the area? Use 3.14 as pi.
answer gets brainliest
Answer: I'm just answering so if only one person answers then u can give the other person brainliest.
Step-by-step explanation: Also if nobody is answering u might want to repost this question
Answer:
153.86 yds. sq.
Hope this helps you!
Step-by-step explanation:
What are the two main purposes of all business
Answer:
Because the purpose of business is to create a customer, the business enterprise has two--and only two--basic functions: marketing and innovation.
Answer:
I think B eaning revenue may be right answer
which expression is equivalent to the following expression: 4.7z + 13y - 1/5 + 7
Answer:
Step-by-step explanation:
I'm not sure if you wanted the answer or not but here's the answer to that.
4.7z + 13y + 34/5
use one or more exponents to write the expression 9 x 9 x 9 x 9 x 7 x 7
Answer:
9^3 times 7^2
Step-by-step explanation:
Solve this equation for x. 3(2x-1)+2=2(2-x).
Help ASAP due in 1 min
Answer:
C.) 2/3
Step-by-step explanation:
The line is divided into three sections, and we know the three sections combined equate to 1.
That means that each section is 1/3. The dot is placed on the second section.
That's how you know the fraction represented on the number line is 2/3.
Answer:
1/3 i think
Step-by-step explanation:
Solve for x.
3(3x+3)-5x-4= 25
Answer:
3(3x + 3) - 5x - 4 = 25
9x + 9 - 5x - 4 = 25
9x - 5x - 4 = 16
4x - 4 = 16
4x = 20
x = 5
What is the measurement of the indicated central angle. 6 pi. R=15
Answer:
r=12
Step-by-step explanation:
r=12
circumference of arc = theta/360*2πr=3π given
Pi cancels
theta/360*2*12=3
theta*6/90=3
theta*3/45=3
3 cancels,45 to the other side
theta=45 degrees
This should do it :)
What is 11 = (-t/11)
Answer:
t= −121
Step-by-step explanation: