Answers
Answer:
The answers of the final equation would be -8 & 5 ,but only 5 is accepted 'cause if u insert -8 as X , under the rad , you will have (-) which is incorrect .
Step-by-step explanation:
Hope my explanation helped u , good luck . ♡
The solution of the given equation is w = 8.
What is the solution of the equation?A solution to an equation is a number that can be plugged in for the variable to make a true number statement
What is the splitting middle term?Splitting of the middle term is that we have to rewrite the middle term of the quadratic expression as the sum or difference of the two terms.
We have an equation
[tex]\sqrt{w^{2}+7w-39 } =\sqrt{10w+1}[/tex]
To find the solution of the above equation,
Square both the sides of the above equation and find the value of x by splitting the middle term.
[tex]\implies (\sqrt{w^{2} +7w-39} )^{2} =(\sqrt{10w+1} )^{2}[/tex]
[tex]\implies w^{2} + 7w - 39 = 10w + 1[/tex]
[tex]\implies w^{2} + 7w - 10w -39-1= 0[/tex]
[tex]\implies w^{2} -3w - 40 = 0[/tex]
[tex]\implies w^{2} -8w +5w - 40=0[/tex]
[tex]\implies w(w-8)+5(w-8)=0[/tex]
[tex]\implies (w+5)(w-8)=0[/tex]
[tex]\implies w = 8 \ or\ -5[/tex]
w = -5 is not possible because the root will give the imaginary values.
Hence, the value of w is 8.
Thus, option D is correct.
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Related Questions
A carpenter worked for 4 days to finish a repair job.
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angle 4 and angle 8 are congruent
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[tex]\angle{6}\:corresponds\:\angle{2}[/tex]
Kody wants to test to be sure his soap dispenser design works fairly for people with different skin colors. He
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Answer: The shape cannot be determined since we don’t know the shape of either population distribution.
Step-by-step explanation:
Math homework help wanted
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Answer:
C. [tex] 2\pi[/tex]
Step-by-step explanation:
Central angle [tex]( \theta) = \frac{\pi}{2} = 90\degree [/tex]
Radius (r) = 4
[tex]l(\widehat{EF}) = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = \frac{90 \degree}{360 \degree} \times 2\pi(4) \\ \\ = \frac{1}{4} \times 2\pi(4) \\ \\ l(\widehat{EF}) = 2\pi[/tex]
Gerry plans to place 23-foot ladder against the side of his house to clean his gutters. The bottom of the ladder will be 8 feet from the house. How far up the side of the house will the ladder reach? Round to the nearest tenth.
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4. Jeanne has $17.50 in her piggy bank. How much money, m, does she need to buy a game that costs $68.75?
5. A number increased by 18 is 50.
6. A number when multiplied by 3 is -21
7. A number divided by -8 is 6
8. Ellen is x years old right now. In thirteen years she will be 24 years old. How old is she now?
9. Each piece of candy costs 0.25 cents. Sam bought a handful of candy and it costs a total of $2.00. How many pieces did he buy?
10. Suzanne made a withdrawal from her savings account. Her old balance was $350.72, and her new balance is $280.20. How much did she withdraw?
11. A large pizza has s, amount of slices that are split among 5 kids. The amount of slices each kid gets is 3. How many slices were there total?
Answers
Answer:
5)32
6)-7
7)-48
8)11
9)800
10)70.52
11)15
Step-by-step explanation:
someone please help me answer this!!!
Answers
Answer:
9 units is the answer.
Step-by-step explanation:
points are (-10,-4) and (-10,5)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-10-(-10))^2 + (5-(-4))^2}\\\\d=\sqrt{(0)^2+(9)^2} \\\\d=\sqrt{81} \\\\d=9[/tex]
∴ d = 9 units
greatest comon factor of 80 20
Answers
Answer:
The greatest common factor of 80 and 20 is 20
Step-by-step explanation:
Jack had $12,100 in medical expenses. His insurance covered 80% of the expenses. The IRS allows deductions of medical and dental expenses of any amount exceeding 7.5% of the adjusted taxpayer’s gross income. If Jack’s adjusted gross income last year was $30,050.00, how much is Jack allowed to deduct?
Answers
Answer:
he deduct the amount of the total UN-reimbursed allowable in (Blank) Year
Step-by-step explanation:
I think this is right but i.dk he (AGI) so its undetermined
ive been on here for 20 minutes trying to do this but i keep getting stuck
Answers
Answer:
c=175
b=2050
g=18.44
23. If 25% of a number is 75. find the number.
A. 700 B. 600 C. 500 D, 400 E. 300
Answers
Answer:
23.E
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ☻❤☺️☺️❤☻
Answer:
[tex]300 \\ \\ answer \: \: E\: \: is \: \: correct[/tex]
Step-by-step explanation:
Let the unknown number be x
[tex]x \times \frac{25}{100} = 75 \\ x = \frac{75 \times 100}{25} \\ x = 300[/tex]
Hope this helps you
Can I have the brainliest please?The volume of cracker boxes are normally distributed, with a mean of 7 oz and a standard deviation of 0.2 oz. If a box is selected at random, What is the probability of getting an amount between that is at least 7.5 oz
Answers
Answer:
0.0062 = 0.62% probability of getting an amount between that is at least 7.5 oz.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 7 oz and a standard deviation of 0.2 oz.
This means that [tex]\mu = 7, \sigma = 0.2[/tex]
What is the probability of getting an amount between that is at least 7.5 oz?
This is 1 subtracted by the pvalue of Z when X = 7.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.5 - 7}{0.2}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability of getting an amount between that is at least 7.5 oz.
Factor: 0.25x^2-0.16y^4
Answers
Answer:
just take out scientific
calculater do it
Answer:1234
Step-by-step explanation:
Worth 100 points for an easy question. I swear on everything that exists if you try to give me a false answer I will report you ! Have a nice day :)
Answers
Answer:
<RQW and <TQU
Step-by-step explanation:
1. The local furniture store pays $140 for a chair and sells it with a
40% markup.
a. What is the markup?
b. What is the selling price of the chair?
Can u guys help and show the steps! pls thxs
Answers
Answer:
a. $56
b. $196
Step-by-step explanation:
a. Markup price
= 40% of 140
= 0.40*140
= $56
b. Selling Price
= $140 + $56
= $196
Using the following equation, complete the square and find the center and radius of the circle: x^2+ y^2 + 4x - 6y - 12 =0
Please help it’s a timed test
Answers
Answer:
Circle with the radius r=5 and the center (-2,3)
Step-by-step explanation:
Answer:
radius: 5 and center: (-2,3)
Step-by-step explanation:
The standard form of the equation after completing the square is
(x+2)^2+(y-3)^2=25
URGENT PLZ HELP
The pH of a liquid is a measure of how acidic or basic it is. The concentration of hydrogen ions in a liquid is labeled (H+). Use the formula pH = -log[H] to find the pH level, to the nearest tenth, of a liquid with [H] about 8.1 x 10-7,
a = 6.1
b = 7.9
с = -7.9
d = 7.0
Answers
Answer:
pH = 6.1
Step-by-step explanation:
pH = -log[H]
pH = -log[8.1 x 10^-7]
pH ≈ 6.09
Therefore, option a, 6.1, is closest to this value and is the correct answer.
A number line that represents k > 5
Answers
Answer:
any number from 6 and above
I NEED AN ASNWER PLSS
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Answer:
m=-3
Step-by-step explanation:
PLEASE HELP TIMED two functions are combined resulting in the function j(x)= 1.5x^2 + 4x-3 . Which operations apply to the specified functions could result in j(x)? select three options.
Answers
Step-by-step explanation:
B two quadratic by addition
C a linear and quadratic by addition
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Steven has identical twin sisters who were born only five minutes apart. Steven is 12 years old. If the combined ages of Steven and his twin sisters equal 42 years, how old are his sisters? Part One: Select the equation that should be used to solve this question correctly. Steven is 12 years old. If the combined ages of Steven and his twin sisters equal 42 years, how old are his sisters? Part Two: Use the equation you selected in Part One find out the age of sisters. Write only a number or numbers as your answer.
Answers
Answer:
It would be the first one.
Step-by-step explanation:
the Twins are the same age. all three ages are 42 so it's the sum. if you were to find the age of the sisters you would minus 12 from 42 but that's not what it is here. so baisicly what it is, is [tex]42=s+s+12\\42=2s+12[/tex]
someone please help me answer this!!
Answers
Answer:
6 units
Step-by-step explanation:
they are six units apart just count the amount of units they are from each other or since they are in the same quadrant and y-axis just subtract the 10 from the 4
Answer:
6 units is the answer.
Step-by-step explanation:
points are (10,-5) and (4,-5)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(4-10)^2 + (-5-(-5))^2}\\\\d=\sqrt{(-6\\)^2+(0)^2} \\\\d=\sqrt{36} \\\\d=6} \\\\[/tex]
∴ d = 6 units
Find the measure of angle x 125
Answers
Answer:
x = 125 degrees
Step-by-step explanation:
The vertical angles theorem states that two angles opposite to each other that are formed from 2 intersecting lines are congruent.
Therefore, angle x and the angle that is 125 degrees are congruent to each other.
So, x=125 degrees.
Hope this helps! :)
Exercise 8.12 introduces data on the average monthly temperature during the month babies rst try to crawl (about 6 months after birth) and the average rst crawling age for babies born in a given month. A scatterplot of these two variables reveals a potential outlying month when the average temperature is about 53F and average crawling age is about 28.5 weeks. Does this point have high leverage
Answers
Answer:
The point has a high leverage
Step-by-step explanation:
The point has a high leverage as it would act as an infinitesimal point that will have a very huge/drastic impact on the fit of the model, and this impact can be seen in such ways as listed below :
Smaller coefficient of determinationHigher sum of squares errorremoving this point will eliminate these drastic impact and make the correlation to be better.
From the information given about the outliner, the given point is not influential and therefore does not have high leverage.
What is an outliner?An outlier refers to a data point whose response does not follow the general trend of the rest of the data.
A data point has high leverage if it has an extreme predictor x value. Here, x = 53 and, y = 28.5.
X is not an extreme point, the data point is not high leverage but an outlier. The data point doesn't follow the general trend of the rest of the data.
Hence the given point is not influential.
Learn more about outliner on:
https://brainly.com/question/3631910
Hi can someone please help me with this. It urgent and time tysm.
Answers
-x=-29
Divide by negative one
x=29.
Write a unit rate for the situation $24 for 3 pounds
Answers
cost/number
24/3=8
So, the unit rate is $8.00
Hope this helps!
Write the sum using summation notation, assuming the suggested pattern continues. 4 - 12 + 36 - 108 + ...
Answers
9514 1404 393
Answer:
[tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]
Step-by-step explanation:
The first term of this geometric series is 4. The common ratio is -12/4 = -3, so the general term is ...
an = 4·(-3)^(n-1)
The sum is the sum of terms of this form.
[tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]
A line passes through the point (-10,-4) has a slope of -1/2
Answers
Note: Consider we need to find the equation of the line because the question statement is missing.
Given:
A line passes through the point (-10,-4) has a slope of [tex]-\dfrac{1}{2}[/tex].
To find:
The the equation of the line.
Solution:
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope of the line and [tex](x_1,y_1)[/tex] is the point on the line.
A line passes through the point (-10,-4) has a slope of [tex]-\dfrac{1}{2}[/tex]. So, the equation of the line is:
[tex]y-(-4)=-\dfrac{1}{2}(x-(-10))[/tex]
[tex]y+4=-\dfrac{1}{2}(x+10)[/tex]
[tex]y+4=-\dfrac{1}{2}x-5[/tex]
Subtract 4 from both sides, we get
[tex]y+4-4=-\dfrac{1}{2}x-5-4[/tex]
[tex]y=-\dfrac{1}{2}x-9[/tex]
Therefore, the equation of the line is [tex]y=-\dfrac{1}{2}x-9[/tex]
Help pls it’s the the last Q
Answers
Answer:
HN = 102 units
LJ = 90 units
GJ = 176 units
Step-by-step explanation:
Since, point N inside the triangle is the circumcenter of the given circle,
HN = GN = NJ = Radii of the circle
Therefore, measure of HN = measure of GN = measure of JN = 102 units
By applying Pythagoras theorem in ΔNLJ,
JN² = NL² + LJ²
(102)² = (48)² + (LJ)²
(LJ)² = (102)²- (48)²
LJ = √8100
LJ = 90 units
m(GJ) = 2[m(GK)] [Since NK bisects GJ]
= 2(88)
= 176 units
Answer:
HN = 102 units
LJ = 90 units
GJ = 176 units
Step-by-step explanation:
Hope this helps
How many lines of symmetry does the
figure below appear to have?
Answers
Answer:
here is only one line of symmetry
Answer:
There are 3 lines of symmetry.
Step-by-step explanation:
There is one in the middle going vertically and horizontally, and there is one going diagonal.
Hope this helped!!