Factorise
2х^2 — 3x— 14
Answer:
(x + 2)(2x - 7)
Step-by-step explanation:
Given
2x² - 3x - 14
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 14 = - 28 and sum = - 3
The factors are - 7 and + 4
Use these factors to split the x- term
2x² + 4x - 7x - 14 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 7(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 7)
Thus
2x² - 3x - 14 = (x + 2)(2x - 7) ← in factored form
A basket has 15 pieces of fruit. Of these, 5 are apples, 2 are oranges and the rest are
pears. If you close your eyes and take one piece of fruit, what is the probability it will
be an orange or a pear?
Answer:
60%
Step-by-step explanation:
the awnser is right
Answer:
pear
Step-by-step explanation:
cuz ratio is 8:5:2
your welcome
Constant of proportionality characteristics what are some?
Answer: The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
Denis orders a large pizza for $16.50 plus $2 for each topping. Sheng orders a medium pizza for $13.25 plus $2 for each topping.
Their bills will never be the same because the toppings cost the same.
Question must probably wants to know the number of toppings it would take for their bills to be equal.
Assume the number of toppings is x, Dennis's bill will be:
= Cost of Pizza + Cost of toppings x number of toppings
= 16.50 + 2x
Sheng's bill will be:
= 13.25 + 2x
Equate their bills to find the number of toppings that would equate their costs:
16.50 + 2x = 13.25 + 2x
16.50 - 13.25 ≠ 2x - 2x
3.25 ≠ 0
In conclusion, their bill will never be the same because the toppings are the same price.
Find out more at https://brainly.com/question/5607279.
plz help me with this plz
Answer:
Slope: [tex]-\frac{3}{4}[/tex]
Y intercept: 7
Equation: [tex]y=-\frac{3}{4}x+7[/tex]
Step-by-step explanation:
The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -3 (since it decreased by 3) and the run (difference between the two x values) is 4 (since it increased by 4).
This gives us a slope of [tex]-\frac{3}{4}[/tex].
The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
Are the statements about the graph of function f true or false?
Answer:
Step-by-step explanation:
1). For a point (0, -15),
Here x = 0, so the piece of function that applies,
f(x) = 4x - 15 (Since, x = 0 lies in the range -2 ≤ x < 4)
= 4(0) - 15
= -15
True.
2). Since, f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex] for x < -2
= 4x - 15 for -2 ≤ x < 4
Which shows a gap between these graphs.
Therefore, graph has a discontinuity at x = -2
True.
3). For x > 4,
f(x) = [tex]3^{x-4}[/tex]
For every input value of x in the interval (4, ∞), output values of the function will be increasing.
So this option is TRUE.
4). In the interval (-12, -2),
Function to be followed → f(x) = [tex]-\frac{1}{4}x^{2}+6x+36[/tex]
Graph of the given quadratic function opens downwards (Since, coefficient of x² is negative).
In this graph value of function first increases then decreases.
So the answer is FALSE.
5). Since, input values of the function 'f' varies from (-∞, ∞)
Therefore, domain of the function will be (-∞, ∞)
TRUE.
Answer:
-True
-True
-True
-False
-False
Step-by-step explanation:
Just took the test and got the same question, i answered the same as the guy above and it is wrong, this is the correct answer.
Make sure your questions are listed in the same order before submitting your answer.
Which equation best describes a relationship between x and y in the table below?
Answer:
y = [tex]\frac{1}{3}[/tex] x + 5
Step-by-step explanation:
Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y = mx + b , "b" is y-intercept with coordinates (0, b)
(0, 5)
(6, 7)
m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x + 5
The bottom one Staples has 9 cases of crayons with 1452 boxes in each case
Office Depot has 6 cases of crayons with 504 boxes in each cate
How many total boxes of crayons do both stores hove?
Answer:
d. 16,092
Step-by-step explanation:
Staples: 1452 x 9 = 13,068
Office Depot: 504 x 6 = 3,024
13,068 + 3,024 = 16,092
PLEASE HELP 15 POINTS N BRAINLIEST
Answer:
OK don't worry we will help you get 15 points
Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = x^2+2
How do I solve this and check all the solutions?
Answer:
it is -6
Step-by-step explanation:
There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile is 4.75 inches wide. If the tiles are going to all be lined next to each other, how many inches long will they cover along the walkway? A. 0.475 inch B. 47.5 inches C. 475 inches D. 4,750 inches
Answer:
C. 475 inchesStep-by-step explanation:
Step one:
given
the number of tiles is 100 in total
the dimension of the tiles is 4.75 inches wide
Step two:
Required
We want to find the length that 100 tiles will cover
Hence the length will be 4.75*100
=475inches
Therefore the option C is correct
Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
I am going to assume that the equation was supposed to be [tex]9y^{5}[/tex][tex]-10y^{3}[/tex]
Answer:
It is a polynomial. It is a binomial and it has a degree of 5.
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so [tex]9y^{5}[/tex][tex]-10y^{3}[/tex] will be considered a polynomial.
A binomial is a polynomial with 2 terms.
The degree of a polynomial is the highest exponent in it which in this equation is 5.
Explain the difference between a Polynomial and a Monomial, and how do you add/subtract and multiply and factoring them?
Answer:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Step-by-step explanation:
HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
Andrew had a collection of 300 baseball cards at the beginning of the summer.
After the summer, Andrew had traded some of his baseball cards and now he has only 213 baseball cards.
What is the percent decrease of his baseball card collection?
Answer:
29%
Step-by-step explanation:
213/300 x 100 = 71%
100 - 71 = 29%
Given p(x)=2x^3-3x-5 what is the value of p (-2)
Answer:
The value of p(x) at -2 is:
[tex]p(-2) = -15[/tex]
Step-by-step explanation:
Given polynomials is:
[tex]p(x) = 2x^3-3x-5[/tex]
We have to find p(-2)
This means that we have to find the value of the polynomial at -2. Finding value of a polynomial at a certain number is done by putting the number in the polynomial in place of variable. So putting x = -2
[tex]p(-2) = 2(-2)^3-3(-2)-5\\= 2(-8)+6-5\\= -16+1\\=-15[/tex]
Hence,
The value of p(x) at -2 is:
[tex]p(-2) = -15[/tex]
help me plz asap now I just need answer question in pic
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
1/5 part of pole is inside the mud, 2/3 part is inside the water and the remaining length of 10m is above the surface of the water. Find the length of the pole.
Answer:
75 m
Step-by-step explanation:
Let the length of the pole to be : x m
1/5 of x is inside the mud, this will be : 1/5 x
2/3 of x in inside water , this will be : 2/3 x
10 m remaining is above the water surface. Finding the fraction that remains will follow;
x - {1/5 x + 2/3x } = 10
x-13/15 x =10
2/15 x = 10
x= 75 m
A line has a slope of 3/2 and has a x-intercept of 2 . What is the y-intercept of the line?
Answer:
- 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute the x- intercept (2, 0 ) into the partial equation
0 = 3 + c ⇒ c = 0 - 3 = - 3 ← y- intercept
Clouds are formed when millions of drops of water become suspended in the air. Which of the following is a step in the process of cloud formation
Answer:
i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer!!!!!
but please have a beautiful weekend!! :)
Step-by-step explanation:
Clouds thicken as more water vapor condenses and coalesces, and precipitation finally follows. The step is condensation.
What is condensation?Condensation is the transformation of airborne water vapor into liquid water. To put it another way, water vapor is the water in the air.
Clouds are formed when millions of drops of water become suspended in the air.
Then the step in the process of cloud formation will be
Water vapor is one of the elements in the atmosphere. Air contains water vapor at all times.
Clouds develop when water vapor combines with dust and smoke particles and condenses around them.
Clouds thicken as more water vapor condenses and coalesces, and precipitation finally follows.
More about the condensation link is given below.
https://brainly.com/question/15563071
#SPJ2
I WILL MARK BRAINIEST
Answer:parallel
Step-by-step explanation:
Evaluate the expression 2p - (p + 3) + 3 for p = 6.
Answer:
12 - (6 + 3) + 3=6
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
6+3=9 2X6=12 12-9=3
The typical value of homes in Sparta is $139,594. If a home appreciates at 2.1% each year, what will the value be 7 years from now?
Answer:
161453.307585
Step-by-step explanation:
139,594(1 + 0.021)^7
139,594(1.021)^7
139,594 x 1.1565920282
161453.307585
For f(x) = −3x − 13, find f(x) when x = –1.
Answer:
f(-1) = -10Step-by-step explanation:
Given
f(x) = −3x − 13,To find f(x) when x = –1 substitute x with its value in the equation:
f(-1) = (-3)(-1) - 13 = 3 - 13 = -10f(-1) = -10evaluate 8+t to the power of 3 when t equals 2
Answer:
It's 994
Step-by-step explanation:
PLEASE HURRY !!!! WILL MARK BRAINLIEST !!!!
In the triangular prism shown below, which planes intersect? Select all that apply.
FGI and HIJ
EGH and HIJ
HIJ and EFG
EGH and EFG
Answer:
FGI and HIJ,EGH and HIJ, and EGH and EFG
Step-by-step explanation:
To answer this, you must find if the planes share a common side
just go down the list and you will see that all of them except HIJ and EFG share a common side so they intersect
select the correct equation of the graph...
Answer:
d
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The slope is -1/2 and the y-int is 2.
PPPPPPLLLLLLLLLLLLZZZZZZZZZZZZ
It's easy!!!
Answer:
The answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
I had this question
PLEASE HELP! 80 POINTS AND BRAINLIEST TO FIRST ANSWER!
A rectangular pen is constructed with 300m of fencing against a barn wall. What dimensions give the maximum area?
Ms. Yost has 20 boxes of markers. Next year, she plans to buy 420% more boxes. How many boxes will she have in all?
Answer:
Ms. Yost will have exactly 104 boxes of markers.
Step-by-step explanation:
We are given an initial value (20 markers) and an increase of that amount (420%). We can convert the percentage to a decimal and then multiply this by the initial value of markers.
We divide the percentage by 100 in order to find the decimal form of it. If we wanted to find the percentage form of a decimal, we would multiply that value by 100 instead of dividing by 100.
[tex]\frac{420\%}{100}=4.20\\\\20 \times 4.20 = \bold{84 \ boxes \ of \ markers}[/tex]
Therefore, Ms. Yost will have 84 boxes of markers in total after increasing her original 20 boxes by 420%.
Finally, because she increased her total by 84 boxes, we need to add the initial amount as well.
[tex]20 + 84 = 104[/tex]
As a final result, Ms. Yost will have exactly 104 boxes of markers.
Answer: She will have 104 boxes in all.
Step-by-step explanation:
To find how many boxes she will have in all, first multiply 420% by 20 then add the obtained number to 20 which is the current boxes of markers that she has.
420% * 20
4.2 * 20 = 84
84 + 20 = 104