Answer:
186
Step-by-step explanation:
if I am understanding your question correctly
Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given roots.
X=-1 X=7
Answer:
If P(x) has the roots -11 and 6, then its multipliers can be written as
Step-by-step explanation:
P(x)=(x+11)(x-6)
P(x)=x2-6x+11x-66
P(x) = x2+5x-66
An organization that installs water wells for people living in the Central African Republic candig a well 90 feet deep in 6 hours. If the drill continues at a constant
rate, how many hours lored will the drill be at 22.5 feet?
Answer: 1.5hr
Step-by-step explanation:
11.94-6.99 divided by .55
I WILL REPORT IF IT'S A LINK
Answer:
a) There will be approximately a water depth of 7.5 meters after 3h
b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.
Step-by-step explanation:
a) Look for the y-value when the x-value is 3.
b) Look for the x-value when the y-value is 8.
*The y-axis is the depth (m), and the x-axis is the time (h).
The sum of two consecutive numbers is 91. Find the numbers
Answer:
45 and 46
Step-by-step explanation:
let x = the smaller number
thus, x + 1 is the next consecutive number
x + x + 1 = 91
2x + 1 = 91
2x = 90
x = 45
x + 1 = 46
Answer:
1 + x = 1 + 45 = 46, so the 2 consecutive numbers are 45 and 46, when added, gives the sum of 91..
HOPE IT HELPS
Find a prime factorization or 36 and 45
Answer:
With exponents:
36 = 3² * 2²45 = 5 * 3²Without exponents
36 = 3 * 3 * 2 * 245 = 5 * 3 * 3Step-by-step explanation:
Factorization of 36:
363 * 123 * 3 * 43 * 3 * 2 * 23² * 2²Factorization of 45:
455 * 95 * 3 * 35 * 3²-Chetan K
Answer:
The Prime factorization of 36 and 45 is 3²
Solution :36 = 2 × 2 × 3 × 3
= 2² × 3²
45 = 3 × 3 × 5
= 3² × 5
Prime Factorization = 3²
____________________
Evaluate the expression for w = 3.1 and x = 13.7.
Write your answer as a decimal or whole number,
WX – 11
Answer:
31.47
Step-by-step explanation:
WX - 11
3.1 x 13.7 - 11
42.47 -11
=31.47
Hi!
I can help you with joy!
All we have to do here is plug in the numbers.
wx-11
(3.1)(13.7)-11
Multiply:
42.47-11
Subtract:
31.47 (Answer)
I hope this helps!
Ask me if you have any questions.
~Misty~
-[tex]\bf{Silent~[/tex]-
Jeremy is building a birdhouse that is a scale model of his own house. If his house is 16 feet tall, and he wants to build his birdhouse 24 inches tall, what scale should he use?
Answer: 3:2 is the scale he should use
Step-by-step explanation: You simplify 24/16 by the GCF (greatest common factor) The GCF of 24 and 16 is 8 so [tex]\frac{24}{16}[/tex] ÷ [tex]\frac{8}{8}[/tex] = [tex]\frac{3}{2}[/tex]. 3/2 could also be written as a scale or ratio which is 3:2.
29-{-36-(-27-31)+40}
Answer:
-33
Explanation:
29-(-36-(-27-31)+40)=
29-(-36-(-56)+40)=
29-(-36+58+40)=
29-62=-33
Please I am begging!!!
A point on a pre-image is currently located at (1, -3). The pre-image is translated 3 units right and 6 units up.
What are the NEW coordinates for the point after the translation? Use graph paper to sketch the translation if needed.
A.) (3, 4)
B.) (4, 3)
C.) (7, 0)
D.) (-2, 2)
Answer:
4,3
Step-by-step explanation:
1 plus 3 equals 4.
-3 plus 6 equals 3.
The table represents some points on the graph of an exponential functio
X
f(x)
2
36
3
54
4
81
5
121.5
6
182.25
Which function represents this relationship?
F f(x) = 16
Nw
G f(x) =
= 16
Nm
H f(x) = 36
ਹੈ।
f(x) = 36
WIN
The exponential function represented in the table is given by:
[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Considering the table, that has points (2,36) and (3,54), we have that:
[tex]36 = ab^2[/tex]
[tex]a = \frac{36}{b^2}[/tex]
[tex]54 = ab^3[/tex]
[tex]54 = \frac{36}{b^2} \times b^3[/tex]
[tex]36b = 54[/tex]
[tex]b = \frac{3}{2}[/tex]
Hence:
[tex]y = a\left(\frac{3}{2}\right)^x[/tex]
When x = 2, y = 36, hence:
[tex]y = a\left(\frac{3}{2}\right)^x[/tex]
[tex]36 = a\left(\frac{3}{2}\right)^2[/tex]
[tex]\frac{9}{4}a = 36[/tex]
[tex]a = 16[/tex]
Hence, the function is:
[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.
More can be learned about exponential functions at https://brainly.com/question/25537936
please help me find the lateral surface area of this
Answer:
96cm
Step-by-step explanation:
What value of y makes this true? 12+y>17
Answer:
5 if the value of y become 5 it makes this true
Hi! Let's solve this inequality!
Move 12 to the right side, using the opposite operation.
y>17-12
y>5
Thus, any value of y greater than 5 will make this inequality true.
Let's try 6, since 6 is greater than 5.
12+6>17
18>17
Yeah, it worked :)
Thus, any value of y greater than 5 will make this inequality true.
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts.
[tex]\bf{M^a^g^i^c^a^l[/tex]
can you help me solve A=p+prt for R
Answer:
[tex]r=\frac{a-p}{pt}[/tex]
Step-by-step explanation:
Solve [tex]a=p+prt:[/tex]
[tex]r=\frac{a-p}{pt}[/tex]
The perimeter of a rectangular roof shingle is 46 inches. It is 13 inches long. How wide is it?
inches
(Help please)
Answer:
8.5 in
Step-by-step explanation:
step 1
to find the width, the equation would be:
P/2-L
step 2-plug in
43/2-13=
8.5
Answer:
Step-by-step explanation: 10 + 10 = 20
46 - 20 = 26
26 divided by 2 = 13
A.(3,7) is a solution to the linear system.
B.(3,7) is Not a Solution to the linear system.
Answer:
y = 2x + 1 --> linear
y = -4x + 7 --> non-linear
Not a solution for a linear system.
Step-by-step explanation:
for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:
7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.
for (b), we have to substitute our values again. You get:
7 = -4x3 + 7, which is
7 = -12+7, which is not true. So, (b) is not linear.
This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.
a. 5,68 ÷ 3,4
b. 987,3 ÷ 2,13
c. 34,23 ÷1,5
Put how you get to the result pls
Answer:
a: 1.6705882352941
b:463.52112676056
c: 22.82
Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh? WHICH ANSWER IS CORRECT
x+3=14
3x=14
x=14−3
x=143
Answer:
[tex]x = 14 - 3[/tex]
Step-by-step explanation:
*The key word 'less than' means to subtract.
x + 3 = 14 is incorrect. Kiran isn't adding weight to his backpack.
In other words, the backpack didn't increase in pounds.
3(x) = 14 is incorrect. Multiplying is irrelevant to this problem, it's not saying Kiran's backpack is 3 times a number equal to Clare's backpack weight.
x = 143 is incorrect. This equation is unrealistic.
x = 14 - 3 is correct. This equation is explaining that Kiran's backpack is 3 pounds less than Clare's backpack (14)
The probability that a particular salesman will leave his sunglasses behind in any store is 1/5. Suppose the salesman visits two stores in succession and leaves his sunglasses behind in one of them. What is the probability that the salesman left his sunglasses in the first store?
Probabilities are used to determine the chances of events
The probability that the salesman left his sunglasses in the first store is 0.16
How to calculate the probabilityThe given parameter is:
p = 1/5 ---- the probability that he left his sunglass
The probability that he did not leave his sunglass would be:
q= 1- 1/5
Evaluate the difference:
p = 4/5
So, the probability that the salesman left his sunglasses in the first store is:
Pr = 1/5 * 4/5
Evaluate the product
Pr = 4/25
Express as decimal
Pr = 0.16
Hence, the probability that the salesman left his sunglasses in the first store is 0.16
Read more about probabilities at:
https://brainly.com/question/25870256
A company starts to track the number of phone calls received each month. During the first month the company received 4,264 phone calls. During the second month the company received 25% more phone calls than in the first month. During the third month the company received 6,396.
What was the percent increase in the number of phone calls from the second month to the third month.
Pleaseeee answer fastt
Answer:
Percent increase : 20%
Step-by-step explanation:
First month: 4,264 phone calls.
Second month: 25% more phone calls than in the first month.
To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:
64,264*25%=1,066
Total phone calls of the second month: 1,066+ 4,264= 5,330
You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:
4,264*1,25= 5,330
Third month: 6,396 phone calls
To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:
Percent change: ((value2-value1)/ value 1 )*100%
Value 2: phone calls received during the third month
Value 1: phone calls received during the second month
Percent change: ((6,396-5,330)/ 5,330 )*100%
Percent increase: 20%
Brainliest?!
6) Find the area of each polygon
Let's find sides one by one
[tex]\\ \tt\hookrightarrow a^2=2^2+3^2=4+9=13\implies a=\sqrt{13}=3.2[/tex]
[tex]\\ \tt\hookrightarrow b=\sqrt{2^2+4^2}=\sqrt{20}=4.2[/tex]
[tex]\\ \tt\hookrightarrow x=\sqrt{1^2+4^2}=\sqrt{17}=4.1[/tex]
Now
[tex]\\ \tt\hookrightarrow s=\dfrac{4.2+4.1+3.2}{2}=5.7[/tex]
Apply herons formula
Area
[tex]\\ \tt\hookrightarrow \sqrt{5.7(5.7-3.2)(5.7-4.1)(5.7-4.2)}=\sqrt{5.7(2.5)(1.6)(1.5)}=5.84units^2[/tex]
help !! i will give brainliest
Answer:
The y intercept should be 9 and the graph is incorrect.
pls help! solve for x
Answer:
21
Step-by-step explanation:
On the left side, 2 multiply by 3 is 6. So you can do the same thing to the right side. 7 multiply by 3 is 21.
. A triangle has side lengths 6, 11, and 13. Is the triangle acute, obtuse, or right? Explain.
A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlesticks 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.
Answer:
w43324424
Step-by-step explanation:
Answer:the original height of the candle is 14.8 inches
Step-by-step explanation:A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed asTn = a + (n - 1)dWhere a represents the first term of the sequence.d represents the common difference.n represents the number of terms in the sequence.From the information given,d = - 0.2 (it is decreasing)n = 8T8 = 13.4 inchesWe want to determine the value of the first term, a. Therefore,13.4 = a - 0.2(8 - 1)13.4 = a - 1.4a = 13.4 + 1.4 = 14.8 inches
help me with proofs please
Answer:
D. Subtraction Property of Equality
Step-by-step explanation:
D. Subtraction Property of Equality
From 6-7, you subtract 132 from both sides. You can only do this because of the subtraction property of equality which essentially means that if you subtract something from one side of the equation, you also have to subtract it from the other side. In this case, you subtract 132 from both sides, therefore it is D.
if a hexagon is worth 5 and a triangle is worth 3, what is circle?
Answer:
A circle has a worth of 0. If your talking about the corners.
ok- i need help!
what's this ......
6(x+9)=9
Answer:
[tex]x=-\frac{15}{2}[/tex]
Step-by-step explanation:
Start by distributing the 6 to each of the terms in the parentheses:
6(x)+6(9)=9
6x+54=9
Subtract 54 from both sides
6x+54-54=9-54
6x=-45
Divide both sides by 6
x=-45/6
Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.
x=-15/2
[tex]\huge \boxed{\tt x= - 7.5}[/tex]
Step-by-step explanation:
First write the equation[tex] \to \sf6(x+9)=9[/tex]
[tex] \\ \\ [/tex]
Divide the 6 to 9 which is multiplying (x + 9) .[tex] \to \sf(x+9)= \dfrac{9}{6} [/tex]
[tex] \\ \\ [/tex]
Divide numerator and denominator in right side by 3[tex] \to \sf(x+9)= \dfrac{3}{2} [/tex]
[tex] \\ \\ [/tex]
Subtract 3/2 with 9[tex] \to \sf x= \dfrac{3}{2} - 9[/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf x= \dfrac{3 - 18}{2} [/tex]
[tex] \\ \\ [/tex]
After subtracting we will get our product as - 15/2[tex] \to \sf x= \dfrac{ - 15}{2} [/tex]
[tex] \\ \\ [/tex]
Round of -15 / 2 to get product as - 7.5
[tex] \to \sf x= - 7.5[/tex]
Verification:
6(x+9)=9
6(- 7.5 +9) = 9
6 × 1.5 = 9
9 = 9
Hence verified ~☆
PLEASE HELP ME WITH THIS ASAP AND SHOW WORK PLEASE
A: f(x)=8x-2
1. Switch the f(x) to y
y=8x-2
2. Switch y to x and x to y
x=8y-2
3. Solve for y:
------------------------------
1. Add 2 to both sides.
x=8y-2
+2 +2
2. Divide both sides by 8.
x+2=8y
--- ---
8 8
1/8x+1/4=y
3. Write in f-inverse form
f^-1(x)=1/8x+1/4
B: g(x)=2/3x+6
1. Switch the g(x) to y
y=2/3x+6
2. Switch y to x and x to y
x=2/3y+6
3. Solve for y:
------------------------------
1. Subtract 6 from both sides.
x=2/3y+6
-6 -6
2. Multiply both sides by 3/2 (to cancel out the 2/3)
x-6=2/3y
2/3x-4=y
3. Write in f-inverse form
g^1(x)=2/3x-4
C: h(x)-4x-12
1. Switch the h(x) to y
y=-4x-12
2. Switch y to x and x to y
x=-4y-12
3. Solve for y:
------------------------------
1. Add 12 to both sides.
x=-4y-12
+12 +12
2. Divide both sides by -4
x+12=-4y
------ ---
-4 -4
-1/4x-3=y
3. Write in h-inverse form
h^2(x)=-1/4/x-3
On the interval , at which x-value is the average rate of change 56?.
On the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.
How to read the data from the table?Table is a way to represent the data of the two or more variable.
To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
The table of the given x value is,
x 3, 4, 5, 6, 7
f(x) 12, 24, 28, 96, 192
The average rate of change of value is the ratio of overall change of function output value to the input value.
For the input values of 4 and 7 let's find the average rate of change,
[tex]r=\dfrac{192-24}{7-4}\\r=\dfrac{168}{3}\\r=56[/tex]
Hence, on the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.
Learn more about the data table here;
https://brainly.com/question/15602982
Answer:
4
x-value is the average rate of change 56