Answer:
Quadratic binomial
Step-by-step explanation:
4x(x+1) - (3x-8)(x+4)
Open parenthesis
(4x^2+4x) - (3x^2+12x-8x-32)
(4x^2+4x - 3x^2-12x+8x+32)
Collect like terms
4x^2-3x^2+4x+8x-12x+32
=x^2+32
Quadratic binomial
Answer:
B. Quadratic trinomial
Step-by-step explanation:got it right on Pluto hope it helps
Consider the function f(x) = x2 + 12x + 11. x-intercepts: 0 = x2 + 12x + 11 0 = (x + 1)(x+ 11) y-intercept: f(0) = (0)2 + 12(0) + 11 What are the intercepts of the function? The x-intercepts are . The y-intercept is
Answer:
The coordinates of the x-intercepts are;
(-1, 0) and (-11, 0)
The coordinate of the y-intercept is;
(0, 11)
Step-by-step explanation:
The given function is f(x) = x² + 12·x + 11
The x-intercept is at f(x) = 0 which gives;
0 = x² + 12·x + 11 which has been factored as (x + 1)(x+11) such that we have;
(x + 1)(x+11) = 0
x = -1, or x = -11
The y-intercept occurs at x = 0, we therefore have;
f(0) = (0)² + 12·(0) + 11 = 11
Therefore, we have f(0) = 11 = Y
Given that at the x-intercept, y = 0, then the coordinates of the x-intercepts are;
(-1, 0) and (-11, 0)
Given that at the y-intercept, x = 0, then the coordinate of the y-intercept is;
(0, 11).
Answer:
man up there is right
Step-by-step explanation:
If c+1/d=5 , what is the value of 30d/2c+2
Answer:
3
[tex]d\in R,\hspace{5}d\neq 0[/tex]
Step-by-step explanation:
You can solve for any variable. From the first equation, let's solve for c :
[tex]\frac{c+1}{d} =5\\\\c+1=5d\\\\c=5d-1[/tex]
Now, replace the value of c into the other equation:
[tex]\frac{30d}{2c+2} \\\\\frac{30d}{2(5d-1)+2} \\[/tex]
Using distributive property
[tex]\frac{30d}{10d-2+2} =\frac{30d}{10d} =3[/tex]
However, keep in mind that this is true for:
[tex]d\in R,\hspace{5}d\neq 0[/tex]
find m
4x-3y=17
-78 + my = 2
Answer:
Step-by-step explanation:
Given: 4X-3Y=17
so, 4x-17 = 3Y
=> Y = (4X-17)/3
Substituting the value in second equation, we get,
=> -78 + m(4x-17)/3 = 2
=>2+78 = m(4x-17)/3
=> 80*3 = m(4x-17)
=>m= 240/(4x-17)
Hope It Helps!!
If a family threw away 2.4 Kg of aluminum in a month, how many cans did they throw away?
Answer:
150 cans were thrown away
Step-by-step explanation:
If the weight of 10 aluminum cans=0.16 kilogram
Each can weighs=0.16 kilograms/10
=0.016kg per can
If the family threw away 2.4 kilogram of aluminum in a month,
How many cans did they throw away?
Total cans thrown away= Total kilogram of cans/each kilogram of cans
=2.4kg/0.016kg
=150 cans
150 cans were thrown away
Now let’s practice what you have learned.
Solve the equation.
4y – 4 = 28
Answer:
y=8Step-by-step explanation:
4y-4=28
4y=28+4
4y=32
y=32/4
y=8
now plug in 8 for y and check the equation true:
4y-4=28
4*(8)-4=28
32-4=28
28=28
So, y is equal to eight 8
Answer:
y = 8
Step-by-step explanation:
4y - 4 = 28
take -4 to the equal side, which will change and become +4
so, it will be; 4y = 28 + 4
4y = 32
divide both sides by the number next to the unknown(y), which is 4
y = 8
6.247 * 10 to the twelfth power in standard form
Answer: 6,247,000,000,000
Step-by-step explanation:
Here we have the number:
6.247x10^12 and we want to write this in standard form.
You can see that we have a 10^12, this means that we need to move the decimal dot 12 places to the right, if there is not a decimal to the right, we add a zero.
6.247x10^12 = 62.47x10^11 = 624.7x10^10 = 6,247x10^9 = 62,470x10^8 and so on.
eventually, the standard form is:
6.247x10^12 = 6,247,000,000,000
So we end with 12 digits after the six.
Rectangle A,B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
AB= 5 units
Image of coordinates is shown in the attachment.
Write the expression in simplest form. (-11/2x+3)-2(11/4x-5/2)
Answer:
-11x+8 or 8-11x
Step-by-step explanation:
Helppp!!!! please!!!
Answer:
18Step-by-step explanation:
8 faces and 12 vertices means hexagon as its base
That means 6+6 edges of its bases and 6 side edges.
6+6+6=18
The shorter leg of a 30°−60°−90° triangle is 4 in. Find the hypotenuse and the other leg. Answer: The length of the hypotenuse is ________ in. The length of the other leg is __________in.
Answer:
The length of the hypotenuse is 8 inches; the length of the longer leg is 4√3 inches.
Step-by-step explanation:
Note that tan 60 degrees = (length of longer leg) / (length of shorter leg), or
tan 60 degrees = (length of longer leg) / 4 in.
Thus, (length of longer leg) = (4 in)(tan 60 degrees)
= (4 in) [√3/1] = 4√3 in
Also, cos 60 degrees = (adjacent side) / (hypotenuse. We want to find the hypotenuse and thus solve this equation for it:
(hypotenuse) = (adjacent side) / (cos 60) = (4 in)( 2/1 ) = 8 in
The length of the hypotenuse is 8 inches; the length of the longer leg is 4√3 inches.
What is the answer please help! make sure to explain. thanks!! Mrs. Anderton is giving a test in her third-period class. She has decided to record the amount of time that each student takes to finish the test (in minutes) and compare that to the grade each student receives on the test (out of 100). A plot of her results is below. Which of the following does this situation represent? A. both a relation and a function B. a function only C. neither a relation nor a function D. a relation only
Answer:
A
achievements
Step-by-step explanation:
match each pair of angle measures of a triangle with the remaining angle measure
Answer:
6 and 102 = 62
119 and 23 = 38
96 and 51 = 33
28 and 87 = 65
Step-by-step explanation:
just did mine :D
What is 3 ÷ 5/6 ? Show your work
Answer:
3 3/5 or 18/5
Step-by-step explanation:
When we divide by fractions, we multiply by the reciprocal of the fraction.
So, 3 ÷ 5/6 is
3*6/5
=18/5
=3 3/5
Have a great day!
Answer:
18/5
3 3/5
3.6
Step-by-step explanation:
3 ÷ 5/÷6
3 × 6/5 → 18/5 (can be 18/5, 3 3/5 or 3.6)
Hope this helps! :)
what is the coordinates of A and Q
Answer:
Coordinate of A: -9
Coordinate of Q: 9
Step-by-step explanation:
1 - 10 = -9
1 + 8 = 9
If the number of bacteria in a colony doubles every 10 hours and there is currently a population of 300 bacteria, what will the population be 20 hours from now?
Answer:
1200 bacteria
Step-by-step explanation:
20 hours divided by 10 hours = 2, so it will be doubled two times.
300 times 2 for the first doubling = 600
600 times 2 for the second doubling = 1200
What is the mean of this data set? If necessary, round your answer to the
nearest tenth.
20, 23, 32, 36, 41, 43, 44, 45, 47, 54, 55, 59, 61, 63, 66
Answer:
A
Step-by-step explanation:
Answer:
A. 45.9
Step-by-step explanation:
the sum of the data values(numbers), divided by the number of data values (in your case 15)
Nick, Paul and krutika share £80 in a ratio 1:1:2 how much money does each person get
Answer:
Step-by-step explanation:
x + x + 2x = 80
4x =80
X = 20
Nick = 20
Paul = 20
Krutika = 40
58. 122. 61. None of the choices are correct
Answer:
C. 61
Step-by-step explanation:
Two sides are equal, so the triangle is an isosceles triangle.
Both base angles are equal.
Angles in a triangle add up to 180 degrees.
58 + x + x = 180
58 + 2x = 180
2x = 122
x = 61
Can someone please help
Answer:
(6, -4)
Step-by-step explanation:
If ABCD is dilated by a factor of 2, you multiply the coordinates by 2. For the coordinate D', you would multiply 3 by 2 to get 6 and you would multiply -2 by 2 to get -4. Answer: (6, -4)
Express (i) 1.4191919.... (ii) 0. 001 in the form p/q, where p and q are integers and q ≠ 0.
Answer:
so confusing.. but I think I have an idea.. p and q are integers equal to 0
Step-by-step explanation:
Expand the following using the Binomial Theorem and Pascal's Triangle. Please show work.
(2x+3)^5
HELP ME ASAP I BEG PLEASE
Answer:
Step-by-step explanation:
#2: Amber is correct. The distribution is skewed to the left.
What does it mean if P(A or B) equals 1?
[tex]P_(_A_o_r_B_)[/tex] = 1
This means that the probability of event A or event B of happening is 1 or certainly would happen.
1. The perimeter of the given triangle PQR is
cm
P
7cm
3cm
R
4cm
O 16
28
26
65
Answer:
No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i.e., 4+3 = 7. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct.
Step-by-step explanation:
Hiya can someone please help me on my maths ratio work?!?
Arthur is organising his collection of DVDs. He has 152 altogether
The ratio of comedy films to action to horror is 6:8:5
How many of each DVD does he have?
A top view of two walls of a room is represented by the x and y-axis, with units in meters. A ball is rolled from the point (0,15). It hits the adjacent wall at (20,0). Find the absolute value function that models the path of the ball. Determine when the ball passes within 3 meters of the wall represented by the x-axis.
Answer:
The absolute value function that models the path of the ball is
[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]
The coordinates when the ball passes within 3 meters of the wall is [tex]\left (3, 12\tfrac{3}{4} \right )[/tex]
Step-by-step explanation:
Given that the ball rolls without other external influences, we have;
(y - 0) = (x - 15)
The slope, m is give by the relation;
m = (y₂ - y₁)/(x₂ - x₁)
m = (15 - 0)/(0-20) = -3/4
The equation of the path of the ball in slope and intercept form is presented as follows;
y = m·x + c
15 = -3/4 ×0 + c = 15
c = 15
The absolute value function that models the path of the ball is then;
[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]
The vale of the function when x = 3 is given by the relation
[tex]f(x) = \left | -\dfrac{3}{4}\times 3 + 15 \right | = \dfrac{51}{4}[/tex]
Therefore, we have the coordinates as [tex]\left (3, 12\tfrac{3}{4} \right )[/tex].
Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to underestimate the duration of a typical cold, on average. They surveyed a random sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. The researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold. The researchers reported that the answers to this question were strongly right-skewed. The 95% confidence interval (6.9, 8.2) they obtained is
Answer:
The 95% confidence interval (6.9, 8.2) they obtained means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".
Option B from the complete Question.
Step-by-step explanation:
Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value will be obtained using the t-distribution if there is no information provided for the population standard deviation and it is obtained from the z-tables if the population standard deviation is known or the sample size is large enough that the sample properties can be approximated to be the same as the population properties.
Standard error of the mean = σₓ = (σ/√n)
σ = standard deviation of the sample
n = sample size
Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]
So, the confidence interval (6.9, 8.2) obtained in the question means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".
Hope this Helps!!!
Find the equation of the line through point (−2,−2) and parallel to 3x+4y=12. Use a forward slash (i.e. "/") for fractions (e.g. 1/2.
Answer:
3x + 4y = - 14
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 )
Given
3x + 4y = 12 ( subtract 3x from both sides )
4y = - 3x + 12 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + 3 ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 2, - 2) into the partial equation
- 2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = - [tex]\frac{7}{2}[/tex]
y = - [tex]\frac{3}{4}[/tex] x - [tex]\frac{7}{2}[/tex] ← in slope- intercept form
Multiply through by 4 to clear the fractions
4y = - 3x - 14 ( add 3x to both sides )
3x + 4y = - 14 ← in standard form
Find the common difference of the sequence shown. 1/6, 1/3, 1/2 , 2
Answer:
1/6
Step-by-step explanation:
sequence should be 1/6,1/3,1/2,2/3
common difference=1/3-1/6=2/6-1/6=1/6
or 1/2-1/3=(3-2)/6=1/6
or c.d.=2/3-1/2=(4-3)/6=1/6
Answer:
The answer is 1/6.
Step-by-step explanation:
I got it right when I did it.
resolve the following into factor ab+ac-ad
Answer:
a(b+c-d)
Step-by-step explanation:
Each term has a factor of "a", so that can be factored out. The remaining factor cannot be factored any further.
ab +ac -ad = a(b +c -d)
Answer:
a(b + c - d)
Step-by-step explanation:
'a' is common to all three terms of the given expression. Thus, the expression in factored form is a(b + c - d).