Answer:
P(x) = x² - 15x + 50
Step-by-step explanation:
We write the polynomial function P(x), given that P(x) = 0 has the given roots, x = 5 and x = 10.
Since x = 5 and x = 10 are the roots of P(x) = 0, it follows that (x - 5) and (x - 10) are factors of P(x) = 0. So, P(x) = (x -5)(x - 10) = 0
Expanding the brackets, we have
x² - 10x - 5x + 50 = 0
Simplifying, we have
x² - 15x + 50 = 0 = P(x)
Thus,
P(x) = x² - 15x + 50
The function table below represents the linear function y = 4x – 3. Which answer represents the outputs of the function table
Answer:
Here we can not see the options, so i will answer in a general way.
When we have a function y = f(x), we define:
x as the input
y as the output.
so f(x) is some kind of "machine", in wich we put an input x, and the "machine" does something and returns an output y.
In, this case, we have:
y = f(x) = 4*x - 3
then if we give this function different inputs, we will get different ouputs.
for example, if we use the input x = 0, then the output is:
y = f(0) = 4*0 - 3 = -3
Then if we made a table for inputs and outputs, we will have the data:
[tex]\left[\begin{array}{ccc}inp&out\\x&y\\0&-3\end{array}\right][/tex]
We can rewrite this table in a general way as:
[tex]\left[\begin{array}{ccc}inp&out\\x&4*x - 3\end{array}\right][/tex]
This means that for every input x, the output is always 4*x - 3.
To complete this type of tables, we usually use different values of x, for example here I will use some different ones:
y = f(3) = 4*3 - 3 = 12 - 3 = 9
y = f(10) = 4*10 - 3 = 40 - 3 = 37
y = f(-1) = 4*-1 - 3 = -4 - 3 = -7
Then we will have a table like:
[tex]\left[\begin{array}{ccc}inp&out\\3&9\\10&37\\-1&-7\end{array}\right][/tex]
Concluding, the thing that will always represent the output of our function is: 4*x - 3.
Answers this question PLZ
Answer:
A. 4x/3
Step-by-step explanation:
Because it is the "Correct Answer"
Answer:
A. 4x/3
Step-by-step explanation:
Because it is the "Correct Answer"
Consider JKL and MNO
Which piece of information can be used to prove that AJKL - AMNO ?
Solve for x.
-2x-3=-7
-2x-3=-7
add 3 to both sides
-2x=-4
isolate x by diving both sides by -2
Answer: x=2
Hope that helps!
Please mark brainliest
Answer:
x = 2
Step-by-step explanation:
The whole goal when solving problems like this is to get the x alone. So the first step would be to get the -3 over to the other side. To do this, you would add 3 to each side of the equation, so that the -3 on the left side cancels out.
-2x - 3 = -7
+3 +3
-2x = -4
The next thing you need to do is divide each side by -2. You would do this because right now, the equation reads "negative two times x equals negative four". When you divide a multiplication problem, it cancels out, so you are left with just the x.
-2x = -4
÷ -2 ÷ -2
x = 2
You now have the value of x.
Please let me know if you need any more help. I hope this explanation helps you understand a bit better. Have a great day! :)
If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes, how much will be left after 186 minutes
Answer:
1788 grams
Step-by-step explanation:
If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes, how much will be left after 186 minutes
We are to find Nt
The formula is given as:
Nt = No(1/2)^t/t½
Where
No = Initial amount = 7,152 grams
t = time elapsed = 186 minutes
t½ = Half life = 93 minutes
Nt = Amount of substance left
Nt = 7152(1/2)^186/93
= 1788 grams
find the mean of the set of data. round to the nearest 10th if necessary.
9.9, 10.8, 10.8, 6.2, 10.8, 7.2
Answer:
The mean of the data set is 9.3 rounded to the nearest tenth
Step-by-step explanation:
First you add them all together: 9.9 + 10.8 + 10.8 + 6.2 + 10.8 + 7.2 = 55.7
Then you divide it by how many numbers there are which is 6 in this situation:
55.7 ÷ 6 = 9.28333333333. but if we round it to the nearest tenth we get 9.3
So the answer is 9.3
I NEED HELP ASAP WILL GIVE BRAINLIST PLEASEE HELP
List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.
Step-by-step explanation:
Perimeter is a measurement of the distance around a shape and area gives us an idea ... Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet.
Suppose the inflation rate is 7% per year. How much would a $24 pair of
sneakers cost in 8 years? Estimate your answer to 2 places after the decimal.
Tine your answer
Three girls share R12000 in the ratio 2:3: 7. Calculate how much each girl
will get
2+3+7=12
12=12000
2?=
2×12000=24000÷12=2000.
R2000 for the first girl.
Step-by-step explanation:
3×12000=36000÷12=3000.
R3000 for the second girl.
7×12000=84000÷12=7000.
R7000 for the third girl.
Each of the three girls would get R2,000, R3,000 and R7,000 respectively.
Given the following data:
Total amount = R12,000.Ratio = 2:3:7Sum of ratio = [tex]2+3+7[/tex] = 12.To share R12,000 among three girls in the ratio of 2:3:7:
How to calculate a ratio.In this exercise, you're required to share the total amount of money among three girls in the ratio of 2:3:7. Thus, we would solve as follows:
For a ratio of 2:
[tex]Amount=\frac{2}{12} \times 12000\\\\Amount=\frac{24000}{12}[/tex]
Amount = R2,000.
For a ratio of 3:
[tex]Amount=\frac{3}{12} \times 12000\\\\Amount=\frac{36000}{12}[/tex]
Amount = R3,000.
For a ratio of 7:
[tex]Amount=\frac{7}{12} \times 12000\\\\Amount=\frac{84000}{12}[/tex]
Amount = R7,000.
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the tasty Deli uses 6.5 lb of ham each day how many ounces of ham will be used in 3 w
eeks
Answer: 2184
Step-by-step explanation:
1lb = 16oz
6.5lb (16oz/1lb) = 104 oz
which means its 104 oz of ham uses in each day.
7 days in a week, then 3 weeks means 3 x 7 = 21 days
104oz in a day, 21 days (3 weeks) equals 21 x 104 = 2184 oz
ʄɨռɖ tɦɛ ʋaʟʊɛ օʄ 7x?
2
Answer:
7x when x=2=7×2=14 is your answer
I need the answer for the question -4(x-10)+8 for my homework please.
Answer:
i think the answer is
-4x+48
What is the range of (-1, 75), (0, 15) and (1, 3)?
The table of values below represents an inverse variation relationship. what is the value of x when y= "3.25"?
X l Y
2 l 13
4 l 6.5
A. X=84.5
B. X=8
C. X=5.3
D. X=21.1
Using the constant of proportionality, the value of when y is 3.25 is 0.5 from the inverse variation.
What is inverse variation relationship?An rise in one variable causes a decrease in the other and vice versa in a mathematical relationship between two variables known as inverse variation, also known as inverse proportionality or inverse relationship. The following equation represents inverse variation:
y = k/x
In this equation, "y" and "x" stand in for the two variables, and "k" is the variational constant. Throughout the connection, the constant of variation has a set value that never changes.
Using the data given;
y = kx
Let's find the value of k;
k = constant of proportionality
13 = k(2)
k = 13/2
k = 6.5
Using the value of k;
3.25 = 6.5x
x = 3.25 / 6.5
x = 0.5
NB: The options given are incorrect and if you will follow through the steps, you will understand the options are incorrect.
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A groups of friends were working on a student film that had a budget of $1300 they used 43% of their budget on costumes. How much money did they spend on costumes
Tell whether the triangle with the given side lengths is a right triangle. 15, 35, 39 Yes or no
Answer:
This would be a right triangle
Step-by-step explanation:
1. The height in feet of a thrown football is modeled by the function h(t) = -16t2 + 60t +6, where t is time
in seconds.
What does the value of h(3) represent in this context?
A. The increase in the football's height after 3 seconds.
B. The decrease in the football's height after 3 seconds.
C. The football's height after 3 seconds.
D. The time it takes for the football's height to reach 3 feet.
Answer:
C) football's height after 3 seconds
Step-by-step explanation:
Helppppppoo plssssssss
Answer:
0.7 x10^4
Step-by-step explanation:
That is the answer for me jdjjushjsj
Order the steps to solve the equation log(x2 - 15) = log(2x) form 1 to 5.
x² – 2x - 15=0
Potential solutions are -3 and 5
x² – 15 = 2x
X-5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0
Answer:
Took L for my gang keep working hard
Step-by-step explanation:
Can I find the scale factor for a point with 2 different scale factors? (one for the x-axis and one for the y-axis)
Answer:
Yes
Step-by-step explanation:
Scale factor is the ratio of the length of one side of a point/figure to a similar side in another point or figure.
The scale factor can either be less than one(1) or greater than one(1) depending on the figure/ point you begin from when finding the scale factor.
Hence you can find the scale factor for a point with 2 different scale factors
roduct and simplify your answer. 7n(-2n+5n-5) Enter the correct answer.
Answer:
[tex]21n^{2} - 35[/tex]
Step-by-step explanation:
[tex]7n(-2n+5n-5)[/tex]
[tex]-14n^{2} + 35n^{2} - 35[/tex]
[tex]21n^{2} - 35[/tex]
Scott set up a volleyball net in his backyard. One of the poles, which forms a right angle with the 15) ground, is 7 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 5 feet from the bottom of the pole. To the nearest tenth of a foot, find the length of the rope.
Answer:
8.6 feets
Step-by-step explanation:
From the scenario described :
The length of the rope, h is the hypotenus. From the data Given, we cannot obtain how far wthe bird will need to fly directly, we use Pythagoras rule to calculate the hypotenus of the triangle :
Hypotenus, h = sqrt(opposite² + adjacent²)
h = sqrt(7² + 5²)
h = sqrt(49 + 25)
h = sqrt(74)
h = 8.6 feet
A map of a highway has a scale of 2 inches=45 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch=30 miles. How far apart are the rest stops on the new map?
Answer:
25.7 miles apart
Step-by-step explanation:
this may not be right, if its not im sory
Tatăl Mariei i-a oferit acesteia 2 opțiuni pentru banii de buzunar: 1/4 din €5 sau 1/2 din €5. Care opțiune ar însemna mai mulți bani?
Answer:
1/2 din 5 €
Step-by-step explanation:
Opțiunea 1
1/4 din 5 €
= 1/4 × 5 €
= 1,25 €
Opțiunea 2
1/2 din 5 €
= 1/2 × 5 €
= 2,5 €
Prin urmare, opțiunea care ar însemna mai mulți bani este 1/2 din 5 €
Factor as the product of two binomials.
22 + 11x + 18
Answer:
11x +40
Step-by-step explanation:
Add 22 and 18 and the result will be as above.
1 picture 2 questions please and thank you
Answer:1) 1661
Step-by-step explanation:23x23 =529, 529xpi=1661
Answer:
Step-by-step explanation:
The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven
Answer:
90%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
Farah harvests 20 pounds of tomatoes from her garden. She needs 4 4/5 pounds to make a batch of soup. Additionally, if she uses 5.6 pounds of tomatoes to make spaghetti sauce, how many batches of soup can Farah make?
Answer:
1 batch
Step-by-step explanation:
Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.
4.8 + 5.6 = 10.5 pounds per soup
10.5*2 = 21 > 20 pounds
Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.
Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.
Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point M. Sides A B and D C are parallel and sides B C and A D are parallel. A square is drawn around point M.
Statements
Reasons
1. ABCD is a parallelogram 1. given
2. ∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles 2. given
3. ∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA 3. right angles are congruent
4. AC bisects BD;
BD bisects AC; 4. diagonals of a parallelogram bisect each other
5. AM ≅ MC, MB ≅ MD 5. definition of a bisector
6. ? 6. SAS congruency theorem
7. AB ≅ BC ≅ CD ≅ DA 7. CPCTC
8. figure ABCD is a rhombus 8. definition of a rhombus
△ABC ≅ △ADC ≅ △BAD ≅ △BCD
△AMB ≅ △CMB ≅ △CMD ≅ △AMD
△ABC ≅ △ADC ≅ △AMD ≅ △BMC
△AMB ≅ △CMD ≅ △BAD ≅ △BCD
The missing statement which is statement 6 is; △AMB ≅ △CMB and ≅ △CMD ≅ △AMD
How to carry out a two column proof?We have been given several statements and reasons in the given two column proof to prove that ABCD is a rhombus.
Now, the only missing parameter is statement 6 which has its' reason as SAS congruency theorem.
From all the reasons and statements given before statement 6, we can arrive at the conclusion that;△AMB ≅ △CMB and ≅ △CMD ≅ △AMD
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Answer:
B: △AMB ≅ △CMB ≅ △CMD ≅ △AMD
Step-by-step explanation:
edg
80% of c is 30. what is c?
Answer:37.5 is C
Step-by-step explanation:
You get this by using Butterfly method 80/100 = 30/x