The solution of the quadratic trinomial is x=9,1.
What is a quadratic trinomial?A three terms polynomial of degree 2 is known as quadratic trinomial.
How to solve the quadratic trinomial?
The general form of quadratic equation is ax²+bx+c =0,
where x = (-b±√(b²-4ac))/2a
The equation is x²-10x+4.75=0
Here, a=1, b= -10, c=4.75
Hence, x= (10±√(100-19))/2
x=(10+8)/2, x= (10-8)/2
x=9, x=1
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Final answer:
The quadratic trinomial x² - 10x + 4.75 is solved using the quadratic formula. The coefficients identified are a=1, b=-10, and c=4.75, and when substituted into the formula, it yields solutions x = 7 and x = 3.
Explanation:
Solving a Quadratic Equation Using the Quadratic Formula
To solve the quadratic trinomial x2−10x + 4.75 using the quadratic formula, 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a', we first identify the coefficients a, b, and c from the trinomial, which are in the standard form of ax2 + bx + c = 0.
Identifying coefficients: a = 1 (the coefficient of x²), b = -10 (the coefficient of x), c = 4.75 (the constant term).
Plugging the coefficients into the quadratic formula: x = −(-10) ± √((-10)2 − 4(1)(4.75)) / (2(1)).
Calculating the discriminant: Calculate b2 − 4ac which is 100 − 19.
Square root step: Take the square root of the discriminant, which is √81.
Final calculation: Compute the two possible values for x which are x = 5 + √81 / 2 and x = 5 − √81 / 2.
Solution: The roots are x = 5 + 9/2 and x = 5 − 9/2, simplifying to x = 7 and x = 3.
The final answer for the roots of the equation x² − 10x + 4.75 = 0 using the quadratic formula are x = 7 and x = 3.
Eleven less than a number is more than seventeen.
Answer:
x-11 > 17
Step-by-step explanation:
You have to set the equation up as an equality, if you want the simplified answer it would be x > 28
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m 24 m24, start text, space, m, end text. With each swing, she travels along an arc that is half as long as the arc of the previous swing.
Answer:
24*(1-0.5^n)/0.5
Step-by-step explanation:
What is the equation of the line that goes through the points (0, 7) and (1, 9)? y=7x+2 y=2x+7 y=7x+9 none of the above
Answer:
2x + 7
Step-by-step explanation:
0,7 is the y intercept, so plus 7 is a given
0,7 1,9 use rise/run
9-7/1-0 = 2/1
so 2x + 7
(-3,0) and (4,0)
find the equation of a parabola that opens up and has the following x intercepts
Answer:
(x+3) (x-4) aka x^2 - 1 - 12
Step-by-step explanation:
Bridget plans to attend 4 cardio classes and 5 weightlifting classes, which will last 328 minutes. Next week, she hopes to attend 4 cardio Classes and 1 weightlifting class, which will last 168 minutes. How long is each class?
Answer:
Time per cardio class: 32 minutes
Time per weightlifting class: 40 minutes
Step-by-step explanation:
Start by creating a system of equations:
let c = the time per cardio class
let w = the time per weightlifting class
4c + 5w = 328
4c + w = 168
Solving for c and w get you 32 minutes and 40 minutes respectively
Each cardio class lasts 32 minutes and each weightlifting class lasts 40 minutes.
To find out how long each class is, we need to set up a system of equations based on the information given.
Let's denote the duration of a cardio class by C minutes and the duration of a weightlifting class by W minutes.
1. From the first week, we have the equation:
4C + 5W = 328
2. From the second week, we have:
4C + 1W = 168
3. To eliminate C, we can subtract the second equation from the first:
(4C + 5W) - (4C + 1W) = 328 - 168
4W = 160
W = 40
4. Now substitute W back into the second equation:
4C + 40 = 168
4C = 128
C = 32
Therefore, each cardio class lasts 32 minutes and each weightlifting class lasts 40 minutes.
what are the sum of the two pink angles?
Answer:
45 degrees
Step-by-step explanation:
The distribution of the values of a population is shown below, and a simple random sample is drawn from th
Based on this information alone, can the sample be used to make inferences about the population?
No, because the population values appear to be normally distributed.
No, because the population values do not appear to be normally distributed.
Answer:
C. Yes, because the population values appear to be normally distributed.
Step-by-step explanation:
Answer:
c) yes, because the population values appear to be normally distributed
Step-by-step explanation:
edge 2021
Please help with what goes in these blanks
Answer:
See bold face answers below.
Step-by-step explanation:
If c^2 = a^2 + b^2, then the triangle is a right triangle.
If c^2 > a^2 + b^2, then the triangle is an obtuse triangle.
If c^2 < a^2 + b^2, then the triangle is an acute triangle.
Always keep "c" on the left side to avoid confusion when classifying.
What is the factored form of x2 – x – 2?
Answer:
(x-2)(x+1)
Step-by-step explanation:
x²-x-2 can be factored into:
(x-2)(x+1)
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Chris is putting a new baseboard in his room . The bed is 15 meters long and the 9/10 meters wide . What is the area of the baseboard?
Answer:
The area of the baseboard is 13.5m²
Step-by-step explanation:
Given data
Length of the bed L=15m
Width of of the bed B=9/10m
Area of the board A=?
We know that the area of the board
Area A=length x width
Substituting our given data we have
A=15*9/10
A=135/10
A=13.5m²
Hence the area of the board is 13.5m²
The area of the baseboard that Chris needs to install in his room, represented as a rectangle with length 15 meters and width 9/10 meters, is 13.5 square meters.
Explanation:In the field of Mathematics, to find the area of a rectangle (which is the shape being represented by the baseboard's dimensions that Chris is working with), you multiply the length by the width. Given that the length of the bed is 15 meters and the width is 9/10 meters, the area of the rectangular baseboard can be found by multiplying these values. So, area = 15 meters * 9/10 meters = 13.5 square meters. Therefore, the area of the baseboard that Chris needs to install is 13.5 square meters.
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Sally is making a recipe that needs 3 1/4 cups of sugar. Each scoop she adds contains 1/8 cup of sugar. How many scoops of sugar does she need to add for the entire recipe?
Answer:
26
Step-by-step explanation:
you are needing to find out how many 1/8 are there in 3 1/4...so you divide
13/4 divided by 1/8
13/4 x 8/1
104/4
26
Answer:
26 .
Step-by-step explanation:
(01.01 LC)
Which of the following is a rational number? (1 point)
square root of 36, square root of 37, square root of 38, square root of 39
Group of answer choices
square root of 36
square root of 37
square root of 38
square root of 39
Answer:
Square root of 36.
Step-by-step explanation:
The square root of 36 = 6 so this is rational.
Recall that a rational number is one that can be written as a/b where a and b are not 0. 6 can be written as 6/1.
Answer:
6
Step-by-step explanation:
The square root of 36 is 6
Montiah solved a quadratic equation. Her work is shown below.
In which step did Montiah make an error?
Answer:
She forgot to multiply the 3 to the x and the 8 inside the parentheses.
Step-by-step explanation:
Answer:
Step 2
Step-by-step explanation:
Instead of dividing the right side by 3, Montiah multiplied the right side by 3, getting 225 instead of 25
28 out of the 35 magazines at the bookstore are woman's magazines.what percentage of the magazines are woman's magazines
Answer: 80% of the magazines are women's magazines
Step-by-step explanation: (28÷35)× 100/1= 80%.
Cos(330degrees) how is it solved ?
Step-by-step explanation:
Put your calculator this trigonometric function and you will get root of 3 over 2.
How ?
Circle is 360° and this angle is more closely to complete the circle, but 330 is on 4th square ( +x,-y).
I hope that it's a clear explanation.
Can someone just please explain why in PEMDAS for example: 6 + 9 ÷ 3 × 7. Why do you do the division (9/3) before the multiplication (3x7) even though the order is “M”, “D” in the acronym?
Steven rolls a 6-sided nombre cube 3 times.What is the probability of rolling a multiple of 3 on all the rolls?
The probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube is [tex]\( \frac{1}{27} \)[/tex].
To find the probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube, we first need to determine the total number of outcomes and the number of favorable outcomes.
Total outcomes for each roll = 6 (since there are 6 sides on the cube).
Favorable outcomes for a multiple of 3 on each roll = {3, 6} (numbers divisible by 3).
Thus, the probability of rolling a multiple of 3 on each roll is 2 out of 6, or [tex]\( \frac{2}{6} \)[/tex].
Since each roll is independent, we multiply the probabilities of each roll:
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right)^3 \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{1}{3} \right)^3 \][/tex]
[tex]\[ P(\text{multiple of 3 on all rolls}) = \frac{1}{27} \][/tex]
So, the probability of rolling a multiple of 3 on all three rolls is [tex]\( \frac{1}{27} \)[/tex].
Solve for w in terms of v, x, and y.
v= -[tex]\frac{1}{X}[/tex] YW
W=
Answer:
W = - [tex]\frac{vx}{Y}[/tex]
Step-by-step explanation:
Given
v = - [tex]\frac{1}{x}[/tex] YW
Multiply both sides by x to clear the fraction
vx = - YW ( multiply both sides by - 1 )
- vx = YW ( divide both sides by Y )
- [tex]\frac{vx}{Y}[/tex] = W
Which number results in a true sentence in 0.475 ＜ ______ ? a.) 0.473 c.) 0.475 b.) 0.474 d.) 0.476
Answer:
D.) 0.476
Step-by-step explanation:
The < sign means 'less than'. The only thing that .475 is less than is .476
compounded monthly P=\$2,000 , r=3\% , t = 5years
To calculate the compound interest, use the formula A = P (1 + r/n)^(nt). For the given values, the final amount after 5 years of monthly compounded interest on $2,000 can be calculated.
Explanation:To calculate the compound interest, we can use the formula:
A = P (1 + r/n)^(nt)
Where:
A = final amount
P = principal amount ($2,000)
r = annual interest rate (3%)
t = time in years (5 years)
n = number of times the interest is compounded per year (12 for monthly compound interest)
Plugging in the values, we have:
A = 2000 (1 + 0.03/12)^(12*5)
Simplifying the equation will give us the final amount after 5 years of monthly compounded interest on $2,000.
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Find the quotient z1/z2, of the complex numbers. Leave your answer in polar form.
z1 = 20( cos 54° + i sin 54°)
z2 = 5( cos 6° + i sin 69)
Choose the correct answer below.
A. 4(cos 48° + i sin 48°)
B. 4[(cos 54°- cos 6°)+i (sin 54°- sin 6°)]
c. 4{cos 9° + i sin 9°)
D. 4(cos 54° sin 6° + i sin 54° cos 6)
Answer:
A: 4(cos 48° + i sin 48°)
Step-by-step explanation:
The step by step working:
z1 = 20(cos 54° + i sin 54°)
z2 = 5( cos 6° + i sin 69°)
z1/z2 = (20/5)(cos 54° + i sin 54°)/(cos 6° + i sin 69°)
= 4[(cos 54° + i sin 54°)(cos 6° - i sin 6°)] / (cos^2 6° +sin^2 69°)
= 4[(cos 54° cos 6° - sin 54° sin 69°) + i(cos 54°sin 6° + sin 54° cos 6°)]
= 4(cos 48° + i sin 48°) (Using sum and difference identities)
The answer is A: 4(cos 48° + i sin 48°)
11 fewer then a number as an algebraic expression
Answer:
x - 11
Step-by-step explanation:
A number stands for an unknown variable in which x takes it placeThe word fewer alerts us to subtraction, thus the minus sign11 fewer than a number is the same as saying a number minus 11.At hockey practice, Savannah made 19 out of 20 shots. Write the fraction of shots Savannah missed as decimal
Answer:
.05
Step-by-step explanation:
if she made 19/20 shots, this means she missed 1/20
Decimals are on a scale of one hundred, therefore, we need to set the denominator to 100
To do this, multiply 1/20 times 5/5 and you should get 5/100
in decimal form, 5/100 is equal to this:
0.05
Thank me later :)
What are the a b and c values of 3x^2-4x=20
Answer:
[tex]a = 3, b = -4, c = -20[/tex]
Step-by-step explanation:
Step 1: Find the a, b, and c values
[tex]ax^2 + bx + c = 0[/tex]
[tex]3x^2 - 4x - 20 = 0[/tex]
The a value is: 3
The b value is: -4
The c value is: -20
Answer: [tex]a = 3, b = -4, c = -20[/tex]
factor the expression 3x^2 - 15x
i will mark brainliest
Step-by-step explanation:
The table of three and x is common
So
3x ( x + 5)
Is the answer
Answer: -3
Step-by-step explanation: 3 times 4 - 15
Please answer this correctly
Answer:
3:30 pm
Step-by-step explanation:
Games : 1 hour
Cleaning : 1 hour
Homework: 30 minutes
Total time
1+1+ 30 minutes
She started at 1 pm
1 + 2 hour 30 minutes
1 +2 hours = 3 pm
3+30 minutes = 3:30
Answer:
1:00 pm + 1 hr = 2:00pm
2:00pm + 1 hr= 3:00pm
3:00pm +30 mins = 3:30 pm
plz help me i don't get how to do this
Answer:
4. -84
5. 480
6. -910
Step-by-step explanation:
product means multiply.
neg x neg = pos
neg x pos = neg
Answer:
The product is multiplication
Step-by-step explanation:
12 times -7= -84
-24 times -20= 480
-130 times 7= 910
Remember a negative times a positive is a negative and a negative times a negative is a positive
PLS ANSWER IT IS HARD LOTS OF LOTS POINTS.....
Answer:
the prism has 2 layers and 20 unit cubes in each layer.
Step-by-step explanation:
just count
Answer:
It would be 2 layers and 20 cubes in each layer.
Step-by-step explanation:
Hope this helps!
if the mean is 120 and the standard deviation in 24 what is the score that is 3 standard deviations above the mean
Answer:
192
Step-by-step explanation:
If the mean is 120 and the standard deviation is 24, then 3 standard deviations above the mean would be 24(3) = 72 + 120 = 192.
192 is the score that is 3 standard deviations above the mean.
What is standard Deviation?The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
Mean= 120
Standard Deviation = 24
So, the score for 3 standard deviations above the mean
= 24(3) + 120
= 72 + 120
= 192.
Hence, 192 is the score that is 3 standard deviations above the mean.
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Which is the graph of the linear inequality y < 3x + 1?
Answer:
The last graph, aka D.)
Step-by-step explanation:
Sorry for the extremely late response,
Hope this helps ppl of the future. ;))
~nxmbus