PLS HELP :) Factorise fully the following:
a) x² + x
b) 3x - 9x
c) 7x - 35x
d) 4x^3+ 24x
^2
Answers
Answer:
a) x(x+1)
b) 3x(1-3)
c) 7x(1-5)
d) 4x²(x+6)
Step-by-step explanation:
When factorising, the most important thing to do is find what the terms have in common. Divide each term by what they have in common, then multiply it by the entire expression so the value doesn't change. Also, you can always check your answer by multiplying it out to see if you get what you started with.
a)
x² + x, both terms have 'x' in common:
x( (x²/x) + (x/x) ) = x(x+1)
b)
3x - 9x, both terms have '3x' in common:
3x( (3x/3x) - (9x/3x) ) = 3x(1-3)
c)
7x - 35x, both terms have '7x' in common:
7x( (7x/7x) - (35x/7x) ) = 7x(1-5)
d)
4x³+ 24x², both terms have 4x² in common:
4x²( (4x³/4x²) + (24x²/4x²) ) = 4x²(x+6)
Related Questions
The original price of sunglasses is $25. The sale price is 20% off the original price. How much money will be saved (what is the discount)?
Answers
Step-by-step explanation:
5 $
Please ASAP please
Answers
Answer:
A)3.125hr
B)53.325mi
Step-by-step explanation:
speed=distance/time
an hour and 15min=1.25hr
32/1.25=25.6mi/hr
80/25.6=3.125hr
B)
2hr and 5min=2+5/60=2.083hr
2.083x25.6=53.325mile
which choice is equivalent to the product below when x>/0
√2x^2 ·√4x
Answers
the answer is: 2x sqrt 2x
The expression √(2x²) · √(4x) is equivalent to the expression 2x√2x. Then the correct option is D.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expressions are given below.
√(2x²) and √(4x)
Then the product of the expressions √(2x²) and √(4x) will be
⇒ √(2x²) · √(4x)
The factor of 2x² will be
2x² = 2 · x · x
The factor of 4x will be
4x = 2 · 2 · x
Substitute in the expression, then the expression will be
⇒ √(2 · x · x) · √(2 · 2 · x)
We know that √x² = x and √4 = 2. Then the expression will be
⇒ x√2 · 2√x
⇒ 2x√2x
Thus, the expression √(2x²) · √(4x) is equivalent to the expression 2x√2x.
Then the correct option is D.
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Consider the equation 5 +x=n.
What must be true about any value of x if n is a negative number?
Explain your answer.
Provide an example that would satisfy this condition.
Explain how you know your equation is correct.
Answers
Answer:
It's C.
Step-by-step explanation:
Any value of x must have a bigger negative number than 5. In this case, formally you say that all x values must be LESS than 5 only.
Please Help Me with this guys!! i need the answer to be typed please i cant see pics my school blocked them on my laptop oofie so please type it out
Answers
Answer:
Give me a sec and ill answer in this comments k
Step-by-step explanation:
i am very stuck on this
The measure of an angle is twenty-three times the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
∡'s are 172.5° and 7.5°
Step-by-step explanation:
x = 23(180-x)
x = 4140 - 23x
add 23x to each side
24x = 4140
x = 4140/24
x = 172.5
So, supplementary angles is an angle pair that adds up to 180 degrees.
If one of the angles is 23 times larger than the other angle, then the other angle would be 1 times larger, due to the reflexive prop.
So combined, the angle pair is 24 times larger than the small angle. And since we know that the supplementary angle is 180, it's something that easy math can solve.
For the small angle:
180 / 24 --> 7.5 degrees.
Now with the big angle that 23 times that:
7.5 * 23 --> 172.5 degrees.
exactly 12 times as many females as males attended which learning activity?? mathh
Answers
A nutritionist suspected that her company's clients had below average cholesterol. They obtained a random sample of 8 clients of the same age and gender. These clients had a mean cholesterol level of xˉ=4.28 mmol/L (millimoles per liter).
To see how likely a sample like this was to happen by random chance alone, the nutritionist performed a simulation. They simulated 60 samples of n=8 cholesterol levels from a normal population with a mean of 4.6 mmol/L and a standard deviation of 0.5 mmol/L (these are generally accepted values for people with the same age and gender of those in the sample). They recorded the mean of the cholesterol levels in each sample. Here are the sample means from their 60 samples:
They want to test H0:μ=4.6 mmol/L vs. Ha:μ<4.6 mmol/L where μ is the mean cholesterol level for all clients like those sampled.
Based on these simulated results, what is the approximate p-value of the test?
Note: The sample result was xˉ=4.28 mmol/L.
Answers
Answer:
p-value ≈ 0.05
Step-by-step explanation:
Use what you've just learned to answer these questions The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape
Answers
Answer:
circle
radius
infinite
Step-by-step explanation:
have a wonderful day <3
If z is the complex number then IzI = 5 represents the equation of the circle.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
The equation of the circle.
IzI = 5.
The set of all complex numbers with a given modulus (such as 5) always has the shape of a circle.
And the modulus represents the radius of the circle.
Therefore, the modulus represents the radius of the circle.
To learn more about the circle;
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A function that has f(-x)=-f(x) is known as what type of function? *
Answers
An example would be the function f(x) = x^3
Note how f(-x) = (-x)^3 = -x^3 = -f(x)
In contrast, an even function is any function where f(-x) = f(x) for all x in the domain.
Answer:
Odd
Step-by-step explanation:
2) r = 4/4 cm
Calculate the diameter of the circle
Answers
Answer:
radius is 4/4 cm meaning its 1 cm, and since diameter is twice the radius its 2cm.
Step-by-step explanation:
Recent research commissioned by Vodafone suggests that older workers are the happiest employees (BBC News, July 21, 2008). The report documents that 70% of older workers in England feel fulfilled, compared with just 50% of younger workers. A demographer believes that an identical pattern does not exist in Asia. A survey of 120 older workers in Asia finds that 75 feel fulfilled. A similar survey finds that 58% of 210 younger workers feel fulfilled.
At a 5% level of significance, test if older workers in Asia feel less fulfilled than their British counterparts.
a-1. Select the null and the alternative hypotheses.
H0: p ≥ 0.70; HA: p < 0.70
H0: p = 0.70; HA: p ≠ 0.70
H0: p ≤ 0.70; HA: p > 0.70
a-2. Calculate the sample proportion. (Round your answer to 3 decimal places.)
Sample proportion
a-3. Calculate the value of test statistic. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
a-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
a-5. What is the conclusion?
Older workers in Asia feel less fulfilled
Older workers in Asia do not feel less fulfilled
At a 5% level of significance, test if younger workers in Asia feel more fulfilled than their British counterparts.
b-1. Select the null and the alternative hypotheses.
H0: p = 0.50; HA: p ≠ 0.50
H0: p ≥ 0.50; HA: p < 0.50
H0: p ≤ 0.50; HA: p > 0.50
b-2. Calculate the sample proportion. (Round your answer to 2 decimal places.)
Sample proportion
b-3. Calculate the value of test statistic. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
b-4. Calculate the p-value of the test statistic.(Round your intermediate calculations to 4 decimal places. Round "z" value to 2 decimal places and final answer to 4 decimal places.)
p-value
b-5. What is the conclusion?
Younger workers in Asia feel more fulfilled
Younger workers in Asia do not feel more fulfilled
Answers
Answer:
H0: p ≥ 0.70; HA: p < 0.70
Sample proportion = 0.625
Test statistic = -1.79
Pvalue = 0.0367
Older workers in Asia feel less fulfilled
B.)
H0: p ≤ 0.50; HA: p > 0.50
0.58
2.35
0.0094
younger workers in Asia feel more fulfilled
Step-by-step explanation:
1.)
H0: p ≥ 0.70;
HA: p < 0.70
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
Phat = x / n = 75/120 = 0.625
1 - p = 1 - 0.7 = 0.3
(0.625-0.70) / sqrt(0.7*0.3/120)
-0.075 / 0.0418330
= - 1.79
Pvalue FROM Zscore calculator :
Pvalue = 0.0367
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude older workers in Asia feel less fulfilled than their British counterparts.
B.)
H0: p ≤ 0.50; HA: p > 0.50
Sample proportion, phat = 58% = 0.58
The test statistic :
(Phat - p) /sqrt(p(1-p)/n)
(0.58 - 0.50) / sqrt(0.58*0.42)/210)
0.08 / 0.0340587
Test statistic = 2.35
Pvalue FROM Zscore calculator :
Pvalue = 0.0094
α = 5% = 0.05
Pvalue < α ; Reject then Null and conclude younger workers in Asia feel more fulfilled than their British counterparts
3.
What is the rate of change of this graph?
825
750
675
Account Balance (dollars)
600
525
450
375
300
0
1
2
3
4
5
6
7
00
9
10
Time (months)
Answers
9514 1404 393
Answer:
-25 dollars per month
Step-by-step explanation:
It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...
(months, dollars) = (1, 675) and (4, 600)
Using the slope formula, we have ...
m = (y2 -y1)/(x2 -x1)
m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month
Barry can run 3/8
of a race in 1/2 hour.
Enter the amount of the race Barry can run in 1 hour.
Answers
Answer:
6/8
Step-by-step explanation:
we need to calculate 3/8 + 3/8 = 6/8
Answer:
3/4
Step-by-step explanation:
1 hour is 2 times 1/2 hour.
2 * 3/8 = 6/8 = 3/4
PLS HELP ITS URGENT!!
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square Inches.
The volume of the ball is approximately
cubic Inches.
Answers
Answer:
SA= 28 in^2
V= 14 in^3
Step-by-step explanation:
circumference= 2πr
9.4 = 2πr
r = 1.496
surface area of a ball = [tex]4\pi r^{2}[/tex]
= [tex]4\pi (1.496)^{2}[/tex]
=28 in^2
volume of a ball= [tex]\frac{4}{3} \pi r^{3}[/tex]
= [tex]\frac{4}{3} \pi (1.496)^{3}[/tex]
=14 in^3
Plz help me well mark brainliest if correct!!....
Answers
Answer:
B) Fifth Grade Boys
Step-by-step explanation:
The far right green line represents the fifth grade boys, and you can see that this lines up right in the middle of 50 and 60.
solve the inequality
Answers
Answer:
x<3
Step-by-step explanation:
4x-7<5
4x<5+7
4x<12
x<3
Which towns are decreasing in size?
Answers
Answer:
I don't know how about you be more specific...
Like what country of what continent of what planet of what galaxy of what galaxy cluster of what universe of what dimension of what multiverse of what time?
3(x+3) [tex]\geq[/tex] 4(x-4)
Answers
Answer:
12x2-12x-144 thats the answer
Step-by-step explanation:
Who can do this I confused except for number 1
Answers
simplify 12 : 3 3/10 : 5.5
Answers
Assume: Triangle CDE is a right triangle and Angle D is a right angle. What is the length of the missing side? A) 26 . B) 25 . C) 24 . D) 23 .
Answers
Answer:
Length of base DE = 24 units
Step-by-step explanation:
Given:
In given triangle, right angle at D
SO,
Perpendicular of given triangle = 32 unit
Hypotenuse of given triangle = 40 unit
Find:
Length of base DE
Computation:
Using Pythagoras theorem
Base = √Hypotenuse² - Perpendicular²
Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²
Length of base DE = √40² - 32²
Length of base DE = √1,600 - 1,024
Length of base DE = √576
Length of base DE = 24 units
The polynomial f(x) is written in factored form:
f(x) = (x - 6)(x + 5)(x - 9)
What are the zeros of the polynomial function?
O x = 6, x = -5, X = 9
O x = 6, X = 5, X = 9
Ox= -6, X = 5, x = -9
Ox= -6, X = 6, X = -5, x= 5, X = -9, x = 9
15points please help
Answers
Answer:The zeros are 6, -5, 9
Step-by-step explanation:
The zeros of the polynomial function are x = 6, x = -5, and x = 9. The correct option is A.
What are polynomials?In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.
The zeros of the polynomial function are the values of x that make f(x) equal to zero.
The polynomial f(x) is written in factored form as:
f(x) = (x - 6)(x + 5)(x - 9)
The zeros of the polynomial are the values of x that make any of the factors equal to zero. Therefore, the zeros are:
x - 6 = 0, which gives x = 6
x + 5 = 0, which gives x = -5
x - 9 = 0, which gives x = 9
Thus, the zeros of the polynomial function are x = 6, x = -5, and x = 9.
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Angle R and 92 are supplementary angles. What equation can you use to solve for R?
R+180=92
R+90=92
R+92=180
R+92=90
180+92=R
Answers
Answer:
Your answer is R+92=180
Step-by-step explanation:
Supplementary means angles that add up to 180, so R+92=180 has to be correct.
area of the parallelogram
Answers
Answer:
48[tex]m^{2}[/tex]
Step-by-step explanation:
Area = base x height
Area = 8m x 6m
Area = [tex]48m^{2}[/tex]
How many times longer I s on be mile that one foot
Answers
Answer:
5,280 times
hope this helps
have a good day :)
Step-by-step explanation:
Blancos y mestizos se ubican en
Answers
Answer:
Se ubican en Chile
A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of graduation. The academic director is concerned that market factors may have adversely affected the full-time placement rate and decides to perform a Hypothesis Test to see if her concern is warranted. The hypothesis test is performed at a 5% significance level and the resulting p-value is 0.07. Assume that all conditions for testing have been met and choose the statement that contains the correct conclusion.
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
b. there is sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
c. there is sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
c. there is not sufficient sample evidence to conclude that the full-time placement rate is 87% because the p-value is greater than 0.05.
Answers
Answer:
Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
Step-by-step explanation:
Here the Null hypothesis would be
H0: 87% of the graduates find full-time employment in their field within the first year of graduation
H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation
Here the p values is 0.07.
Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.
Hence, option A is correct
Since the p-value is greater than the significance level, the correct option is:
a. there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.
At the null hypothesis, it is tested if the proportion is still of 0.87, that is:
[tex]H_0: p = 0.87[/tex]
At the alternative hypothesis, it is tested if it has decreased, that is:
[tex]H_1: p < 0.87[/tex]
Since the p-value is greater than the significance level, we do not reject the null hypothesis, and hence, the correct option is A.
A similar problem is given at https://brainly.com/question/25831511
An elementary bake sale is selling brownies and cookies. Their goal is to make $500
dollars. Each brownies is sold for $2 and each cookie is sold for $1.50. Write an
equation to represent the number of brownies, b, and cookies, c, that must be sold to
make $500.
Answer:
Submit Answer
Answers
Answer:
2b + 1.5c = 500
Step-by-step explanation:
Cost per brownie = $2
Cost per cookie = $1.50
Number of brownie = b
Number of cookie = c
I WILL GIVE BRAINLIEST IF IT'S CORRECT AND THE BEST ANSWER
Write a problem that can be answered using the line plot.
Answers
Answer:
What is the median amount of salt left
Step-by-step explanation: