Answer:
f(x)=(x+5)(x-2)
g(x)=(2x+1)(x-2).
x=10x+2
x=3x-2
x=12×+1
x=13
A function is defined as a relation between a set of inputs having one output each.
The point of intersection between the function f(x) and g(x) is x = 4.
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(x) = ( x + 5 ) ( x - 2 )
g(x) = ( 2x + 1 ) ( x - 2 )
To find the points of intersection between the two functions we must equal the function.
f(x) = g(x)
( x + 5 ) ( x - 2 ) = ( 2x + 1 ) ( x - 2 )
( x - 2 ) gets canceled
x + 5 = 2x + 1
5 - 1 = 2x - x
4 = x
x = 4
This means that at x =4 the function f(x) and g(x) intersect.
we can see that at x = 4 both the functions have the same value.
f(x) = ( x + 5 ) ( x - 2 ) = ( 4 + 5 ) ( 4 - 2 ) = 9 x 2 = 18
g(x) = ( 2x + 1 ) ( x - 2 ) = ( 2 x 4 + 1 ) ( 4 - 2 ) = ( 8 + 1 ) ( 4 - 2 )
= 9 x 2
= 18
Thus the point of intersection between the function f(x) and g(x) is x = 4.
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if a quadratic equation with real coefficients has a discriminant of -2, then its roots must be
A:2 real
B:1 real
C: imaginary
D:equal
HELPP HURRY PLEASEE!!
its (a
Answer:
because h is being multipling by πr² and if we swich v for h
h going to be at front and v dividing all the acuation
32 450 to nearest thousand
Answer:
32,000 or 32 thousand
Step-by-step explanation:
When looking at thousands, we must determine if the hundreds place has more than 5 which would be half of a thousand. So... if there would have been 32500, then the answer would have been 33,000 because there were 500.
Since there are only 450, we are going to have to round back to 32,000 since the number isn't large enough.
-kiniwih426
THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.
Answer:D
total 450 marks 90 of which are maths
90/450= 0.2
0.2=20%
20% is D
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
90/450=2/10
PLEASE EXPLAIN YOUR ANSWER!!
Mark decided to open a business selling handmade soap but needed to borrow $1,200.00 for supplies to start. He took at simple interest loan for 1 year at 10 percent. He sold each bar of soap for $4.00. How many bars of soap will he need to sell in 1 year to cover the amount to repay the loan and interest?
A. 120
B. 240
C. 330
D. 480
Answer:
Answer: Option 330 bars of soap Step-by-step explanation: If the amount is $ 1,200 and the simple interest for a year is 10% then the amount that Mark must pay is: If each soap bar costs $ 4 then the amount of soap bars you must sell in 1 year is: The answer is the first option
Step-by-step explanation:
Answer:
330
Step-by-step explanation:
$1,200.00 + 10% = $1,320.00 or $1,200.00 + $120.00 = $1,320.00
$1,320.00 / $4.00 = 330
330 * $4.00 = $1,320.00
Hannity needs to run 50 miles a week to practice for her race. If she wants to run the same distance every day of the week, approximately how many miles must she run each day?
Round your answer to the nearest tenth of a mile.
Answer:
7.14
Step-by-step explanation:
divide 50 by the number of days in a week(7) to find how many miles she must run each day
50/7=7.14
The inequality _______________ represents the number of boxes of lightbulbs that Cecil started with.
Cecil had _____________ boxes of lightbulbs when he started.
Answer:
The inequality 14
Cecil had 14 boxes of lightbulbs when he started
I think not 100% sure
Step-by-step explanation:
Hope this helps :)
solving proportions
Answer:
Out of State = 54
Step-by-step explanation:
Out of State
2/9 = x/243
= 54
Answer:
54
Step-by-step explanation:
7 in-state to 2 out-of-state
The sum of 7 and 2 is 9.
For every 9 students, 2 are out of state.
This is the proportion:
2 out-of-state is to 9 total as x out-of-state is to 243 total
2/9 = x/243
9x = 2 * 243
x = 54
Answer: 54
Solve the inequality 5z+8≥-7
Answer:
z≥−3
Step-by-step explanation:
1 Subtract 88 from both sides.
5z≥−7−8
2 Simplify -7-8−7−8 to -15−15.
5z≥−15
3 Divide both sides by 55.
z≥− 15/5
4 Simplify 15/5 to 3
z≥−3
The cost of $ 385 in 2004 was 10% more than the cost in2003. Calculate the cost in 2003.
9514 1404 393
Answer:
$350
Step-by-step explanation:
Let c represent the cost in 2003. Then we have the cost in 2004 is ...
c + 0.10·c = 385
1.1c = 385
c = 385/1.1 = 350
The cost in 2003 was $350.
PLEASE PLEASE PLEASE HELP ME ^^
PRETTY PLEEEASE
Step-by-step explanation:
Think of it this way what if an exponent had 1 so like 10^1
that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
what is the rule for multiplying and dividing integers
Answer:
When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.
Step-by-step explanation:
its easy as 1, 2, 3 lol
Answer:
When we multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When we divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.
How do i simplify this question?
the ratio of 3 numbers is 2:3:4. If the sum of the numbers is 108, find the numbers. NEED ANSWERS ASAP
Step-by-step explanation:
x + y + z = 108
x/y = 2/3
y/z = 3/4
x = 2y/3
z = 4y/3
we use these 2 as substitute in the first equation
2y/3 + y + 4y/3 = 108
2y + 3y + 4y = 324
9y = 324
y = 36
x = 2y/3 = 2×36/3 = 2×12 = 24
z = 4y/3 = 4×36/3 = 4×12 = 48
Write the equation of the parabola in vertex form.
vertex (2,4), point (3,-2)
f(x)=
Answer:
f(x)=2x2−8x+4. Explanation: the equation of a parabola in vertex form is.
Lea has 2 cans of oil. if each contains 3.4 liters how many liters of oil does she have in all
Answer:
the answer is 6.8 litres
Step-by-step explanation:
3.4 × 2 = 6.8
Erika created a scatterplot representing the height a plant grew after a certain number of hours of sunlight. The plant height was plotted on the horizontal axis. Which statement best describes how she should draw her line of best fit? A. The line of best fit will be horizontal. B. The line of best fit will be vertical. C. The line of best fit will increase from left to right. D. The line of best fit will decrease from left to right.
Answer:
B
Step-by-step explanation:
The line of best fit should be vertical. This answer may not be correct.
The correct statement is statement B that is the line of best fit will be vertical.
What is a scatter plot ?
A scatter plot is a graph in which the values of two variables are displayed along two axes, and any correlation is revealed by the pattern of the resulting points.
It is given that , after a particular amount of hours of sunlight, Erika made a scatterplot showing the height that a plant increased to. On the horizontal axis, the plant height was shown.
We know that in a scatter plot , the values of two variables are displayed along two axes. As the plant height was shown on the horizontal axis. The other value which is amount of hours of sunlight will be on the vertical axis.
So , the statement which best describes how Erika should draw her line of best fit i.e., the line of best fit will be vertical.
Therefore , the correct statement is statement B that is the line of best fit will be vertical.
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A card is drawn from a 52-card deck, the result is written down, and then the deck is shuffled. A card is drawn. What is the probability that at least one of the two cards was red? Write your answer as a percent
Answer:
1/2 or 50%
Step-by-step explanation
Answer:
75%
Step-by-step explanation:
To find probability of one being red, do 1 minus probability of being black.
1/2*1/2=1/4
1-1/4=3/4
=75%
If you could do this you’re the best and you’ll also get a lot of points thanks
Answer:
take the answer on picture which I attached with your question
one-third of a number is at least 5 units from 31
Answer:
6
Step-by-step explanation:
5^2+6=31
25+6=31
31=31
proved
One-third of the number is at least 5 units from 31. The number is 78.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that one-third of a number is at least 5 units from 31. The unknown number is x.
( 1 / 3 )x + 5 = 31
x + 15 = 31 x 3
x + 15 = 93
x = 93 - 15
x = 78
Therefore, one-third of the number is at least 5 units from 31. The number is 78.
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0
pls help!!
--------------
First Blank is CD
Second Blank is BC
Third Blank is ABC
Step-by-step explanation:
first blank = CD
second blank = BC
third blank = ∆ABC.
hope this helps you.
6
Select the correct answer.
What are closing costs?
ОА. .
various fees paid monthly along with rent
ОВ.
various fees paid every year as part of taxes
Ос.
various fees paid when a home purchase is finalized
Reset
Next
I need help what is the answer?
Answer:
C. Various fees paid when a home purchase is finalized
What percentage of the Cub Scouts are at least as old as a Bear Scout?
Tigers (6 years old): 19%
• Wolves (7 years old): 36%
Bears (8 years old): 17%
Webelos (9 years old): 28%
.
The percentage of the cub scout which are atleast as old as the near scout refers to percentage of the cub scout which are atleast 8 years old. Hence, the percentage is 28%
The age of Bear scout = 8 years oldCub scouts which are atleast 8 years old :
Webelos = 9 years old Percentage of Webelos = 28%Hence, the percentage of cub scout which are atleast 8 years old is 28%
Therefore, the percentage of the cub scout that are atleast as old as the Bear scout is 28%
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Dao has 2 3/8 pounds of hamburger meat. He is making 1/4 -pound hamburgers. Does Dao have enough meat to make 10 hamburgers?
Answer:
No
Step-by-step explanation:
1/4=2/8 2 3/8 divided by 2/8= 9 1/8 hamburgers
Choose SSS, SAS, or neither to compare
these two triangles.
A
B
SSS
SAS
neither
Answer:
neither of these options are right I think
5=9+w over negative 3
Answer:
-4
Step-by-step explanation:
solve the inequality 1/2c > -1
Answer:
[tex] \frac{1}{2} c > - 1[/tex]
[tex]c > - 1 \div \frac{1}{2} [/tex]
[tex]c > - 1 \times 2[/tex]
[tex]c > - 2[/tex]
f(t) = -2t + 5
so
) =
= 13
I need help with this
Answer:
f(- 4) = 13
Step-by-step explanation:
We require to find the value of t which makes f(t) = 13
Equating the right sides gives
- 2t + 5 = 13 ( subtract 5 from both sides )
- 2t = 8 ( divide both sides by - 2 )
t = - 4
Then
(f(- 4) = 13
Given that3x:8=7:2Calculate the value ofx.Give your answer in its simplest form
The answer is 28/3, and in simplest form its 9 1/3