Answer:
c
Step-by-step explanation:
How many times does the quadratic function below intersect the x-axis?
y = x+3x+15
do you agree that the equation (x-4)²=9 can be solved both by factoring and extracting square roots?
Given parameters:
Equation:
(x-4)²=9
Problem, solve the equation by factoring and extracting the root
Solution:
Given equation:
(x-4)²=9
subtract 9 from both sides to equate to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
Now, this is similar to the concept of difference of two squares;
x² - y² = (x + y)(x-y)
Here x = x-4 and y = -3
So input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 4+3) = 0
(x -7)(x -1) = 0
S0,
x - 7 = 0 or x-1 = 0
x = 7 or 1
If we extract the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; this is not the only solution to the problem
So we cannot solve it by extracting the square root.
The solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root. The equation can only be solved by factoring
Given the expression;
(x-4)²=9
This expression can be solved by factoring
Factoring the expression on the left hand side
(x-4)(x-4)=9
x²-4x-4x+16 = 9
x² - 8x + 16 - 9 = 0
x² - 8x + 7 = 0
x² -x - 7x + 7 = 0
x(x-1) -7(x-1) = 0
x-7 = 0 and x - 1 = 0
x = 7 and 1
This shows that the expression can be solved by factoring
The other way is by squaring both sides
(√x-4)² = ±√9
x - 4 =±√9
x = -9+4 and x = 9 + 4
x = -5 and 13
Since the solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root
Learn more here: https://brainly.com/question/20953433
Expression is equivalent to 179×44.
Answer: 7876
Step-by-step explanation: JUST MULTIPLY THE NUMBERS
8^(1/2)+16^(1/4)-12^(1/2)+81^(1/4) and 〖8∙2〗^(1/2)-24^(1/4)-3^(1/2)+128^(1/4)
Answer:
Im too gucci. 88.
Step-by-step explanation:
write an equation of the line that passes through the points (1,3) and (3,-5)
-8= 3-5(x+6) solving algebraicaily
Let's solve your equation step by step
-8=3-5(x+6)
Step 1: simplify both sides of the equation
-8=3-5(x+6)
-8=3+(-5)(x)+(-5(6) (distribute)
-8=3+-5x+-30
-8=(-5x)+(3+-30) (combine like terms)
-8=-5x+-27
-8=-5x-27
Step 2: flip the equation
-5x-27=-8
Step 3: add 27 to both sides
-5x-27+27=-8+27
-5x=19
Step 4: Divide both sides by -5
-5x/-5 = 19/-5
Answer : x= -19/5
Answer:
x = -19/5
Step-by-step explanation:
-8 = 3-5(x+6)
Distribute.
-8 = 3-5x-30
Combine like terms.
-8 = -27-5x
Add 27 on both sides.
-8 = -27-5x
+27 +27
19 = -5x
Divide by -5 on both sides.
19 = -5x
/-5 /-5
-19/5 = x
Hope this helps you a little bit! Sorry if it get confusing...have an amazing day c:
find the unkown angle of a triangle
Step-by-step explanation:
Find
Triangle A(because there are two triangles)
take 28°+39°=67°
an angle is 180° in total so you take
180°-67°=113°
Angle x = 113°
Angle y = 67°
Triangle B
64°+67° = 131°
180°-131°=49°
Angle z =49°
Find each percent increase. Round to the nearest percent
Answer:
1. 15 to 21 = 21 - 15 / 15 = 0.4*100% = 40%
2. 12 teachers to 48 teachers = 48 - 12/48 = 0.75 * 100% = 75%
3. 80 pencil to 120 pencil = 120 - 80 / 80 = 0.5*100% = 50%
4. 40 cans to 70 cans = 70 - 40 / 70 = 0.43 * 100% = 43%
On the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.) P(n) = (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.) P(1) = 0.740 P(2) = 0.192 P(3) = 0.050 (c) Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3). (Enter a number. Round your answer to three decimal places.) 0.018 (d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Probability distribution of a random variable n :
P(n) = (1 - p)^(n-1) * p
p = 0.74
P(n) = (1 - 0.74)^(n-1) * 0.74
P(n) = (0.74)0.26^n-1
Compute the probabilities that n = 1, n = 2, and n = 3.
n = 1
P(1) = (0.74)0.26^1-1
= 0.74 * 0.26^0
= 0.74
n = 2
P(2) = (0.74)0.26^2-1
= 0.74 * 0.26^1
= 0.74 * 0.26
= 0.192
n = 3
P(3) = (0.74)0.26^3-1
= 0.74 * 0.26^2
= 0.74 * 0.0676
= 0.050
Compute the probability that n ≥ 4.
P(n ≥ 4) = 1 - p(n ≤ 3)
p(n ≤ 3) ; n = 1, n = 2, n = 3
p(n = 1) = 0.74
p(n = 2) = 0.192
p(n = 3) = 0.050
P(n ≥ 4) = 1 - (0.74 + 0.192 + 0.050)
P(n ≥ 4) = 1 - 0.982
P(n ≥ 4) = 0.018
(d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry?
Expected number of residents (μ) :
μ = (1 - p) / p
p = 0.74
μ = (1 - 0.74) / 0.74
μ = 0.26 / 0.74
μ = 0.35
Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $100 so far. How much more (bes she
need to reach her goal? Let m be how much more is needed.
Answer:
answer
Step-by-step explanation:
step by step explanation
simplify this expression; -15k-1+12+2k
Answer: -13k+11
Step-by-step explanation:
Combine like terms
-15k+2k=-13k
-1+12=11
Which is bigger 0.78 or 0.708
Answer:
0.78
Step-by-step explanation:
Answer:
0.78
Step-by-step explanation:
because...
0.78 = 0.780
so,
0.780 > 0.708
have a nice day! <3
What is the slope of pv? A:1 B:2 C:-2 D:-4
Answer:
D
Step-by-step explanation:
This is how I was taught to answer these questions
Get the coordinates of P and V. You should get 4=2m+b and 0=3m+b
Subtract these to get 4=-1m
Divide -1 from both sides to get -4
Let me know if you have any questions. I didn't go into to much detail because I wasn't sure if you just only wanted the answer.
Happy almost Halloween!
Four years ago, you started a job with an annual salary of $40,000. At the end of each year on the job, you received a raise of 4.8%. The table shows your salary after each of your four annual raises.
Number of Years
Annual Salary
1
$41,920.00
2
$43,932.16
3
$46,040.90
4
$48,250.87
Answer:
the third one
Step-by-step explanation:
3 movie tickets cost $36.At this rate what is the cost per ticket $
Answer:12
Step-by-step explanation:
Answer:
The cost per ticket is $12
Step-by-step explanation:
In order to find the answer, you would need to divide $36 by 3 to find how much it costs per ticket.
Hope this helps:)
Help ! I’ll mark you brainly
Answer:
There you go :)
Hope this helped you
<3
Red
Help please posted this twice immediate help right now
Answer:
(-3, 4)
Step-by-step explanation:
Given equation of the line is,
y - 4 = -2(x + 3)
Any point (x, y) lying on this line will satisfy the equation by substituting x and y values.
If a point (-3, a) lies on this line,
By substituting x and y coordinates in the equation,
a - 4 = -2(-3 + 3)
a - 4 = -2(0)
a - 4 = 0
a - 4 + 4 = 0 + 4
a = 4
Therefore, ordered pair shown in the picture will be,
(-3, 4)
Answer: (-3, 4)
Step-by-step explanation:
What is the coefficient of 5a^2-7
Answer: 5
Step-by-step explanation:
A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.
Please solve for x and is it complementary or supplementary
5(x -4) + 3x - 9x +7
Answer:
-x - 13
Step-by-step explanation:
Answer:
-x - 13
Hope this helps! :)
The difference between the areas of the figures is less than 4.
An absolute value inequality that represents this situation is ___
The solution of the inequality is ___
Thank you!!!!!!!!
Answer:
We know that:
If T = area of the triangle
and R = area of the rectangle:
I T - RI < 4.
Now, we know that:
T = 8*6/2 = 8*3 = 24
R = 4*(x - 4) = 4*x - 16
Then replacing those values, we can write:
I24 - (4*x - 16)I < 4
I40 - 4*xI < 4
Now let's solve it:
First we aim for the first value that is not a solutions, this is when:
I40 - 4*xI = 4
we can write this as:
40 - 4*x = +-4
The first extreme is:
40 - 4*x = +4
x = (40 - 4)/4 = 9
The other extreme is:
40 - 4*x = -4
x = (40 + 4)/4 = 11.
Then the set of solutions is: S = (9, 11)
9.215
627
How to work the problem
Answer:
multiply
Step-by-step explanation:
A triangle is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does NOT preserve the length of the sides of the triangle?
A
(x, y) --> (-x + 9, y - 8)
B
(x, y) --> (-x + 9, -y - 8)
C
(x, y) --> (x + 4, y + 6)
D
(x, y) --> (5x - 4, y + 2)
Answer:
Step-by-step explanation:
D
4+|7−m|=5
Solve for M
m = 16 or m = -2
m = 6 or m = -8
m = 6 or m = 8
m = 2 or m = 16
444444454444444444444545555
explain how the percent equation relates proportional quantities
Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
The proportion is a general case of percentage. (Refer to the examples explained below).
What is the percent equation?Proportion is a general case of percentage. It describes how much of the total a particular sample is. For example, if a pie contains eight slices and you have five, the proportion is 5/8. You have a total of five out of eight. A percent (the number of parts out of 100) is a special case of proportion where the denominator (“whole”) equals 100 parts. I suspect that percentages were created to allow a normalized comparison of proportions when the total number of parts was not the same. Imagine a small pizza with 6 slices and a large pizza with 8 slices. If Tom got 4 from the first and Ram got 5 from the second, it is not immediately clear who got more from the second. Converting 4/6 and 5/8 to percentages (66.7 and 62.5) allows you to see when the denominator equals who got relatively "more".Furthermore, I suspect that 100 was used because we live in a 10-base world (we have 10 fingers, which makes it natural).Therefore, the proportion is a general case of percentage.
Know more about percent equations here:
https://brainly.com/question/9553743
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Picture attached below. Please help.
There isnt a picturee but when you add another question I will hep you the best I can :)
Calculate perimeter.
Answer:
152
Step-by-step explanation:
what is the slope if my two points are 3,1 and 3,4?
What is 4x-8=9y-5 in standard form
Which expression is equivalent to one over three p + 15?
A.one over three(p + 45)
B.one over three(p + 5)
C.3(p + 45)
D.3(p + 5)
Answer:
one over three(p + 5)
Step-by-step explanation:
we know that
the expression " one over " is equivalent to
--------> expression A
and
--------> expression B
substitute the expression B in the expression A
-----> one over three