Answer:
x^2 + 14x + 40.
Step-by-step explanation:
(x+4) (x+10)
= x(x + 10) + 4(x + 10) ( By the Distributive Law)
= x^2 + 10x + 4x + 40
= x^2 + 14x + 40.
Answer:
x^2+14x+40
Step-by-step explanation:
xx+x*10+4x+4*10= xx+10x+4x+4*10
Then simplify
x^2+14x+40
I hope this helps!
how do you solve the problem
Answer:
-13
Step-by-step explanation:
{(-4)² + (-2)(-5)} / -2
= {16 + 10} / -2
= 26 / -2
= -13
(20 PTS) Someone explain to me why this is the case
Answer:
i is an imaginary number because i = [tex]\sqrt{-1}[/tex] and you can never take a square root of a negative number. Because i is equal to [tex]\sqrt{-1}[/tex] when you square it it just removes the square root sign and gives you -1
Step-by-step explanation:
Step-by-step explanation:
think of it as this: i is an imaginary number, so a negative in a square root will be negative. so if you take away the squareroot, it leave you with -1. a square root is ^2 so i^2 is practically the same as a square root.
If someone can explain better, please do
Solve 0.25[2.5x + 1.5(x – 4)] = –x.
x =
Answer:
0.75
Step-by-step explanation:
the simplified equation is 2x=1.5 / 2= x=0.75
A city currently has 60 family-owned restaurants. In the future, it is estimated that the number of those restaurants will decline at a rat of 18% per year. Based on that estimate, what is the fewest number of years it will take for there to be less than 20 family-owned restaurants in the city? A.1 B. 3 C. 4 D. 6
The correct answer is D. 6
Explanation:
To know precisely how the number of restaurants in the city decreases over time, it is necessary to determine the 18% of the total of restaurants each year and to subtract this number. The process year per year is shown below:
First-year- 60 restaurants- Find the percentage by writing the known value and using cross multiplication
[tex]60 = 100[/tex] %
[tex]x = 18[/tex]%
[tex]x 100 = 60 x 18[/tex]
[tex]x = \frac{1080}{100}[/tex]
[tex]x = 10.8[/tex] Number of restaurants that were closed
[tex]60-10.8 = 49.2[/tex] New total
Second-year - 49.2 restaurants- Repeat te process
[tex]x = \frac{49.2x 18}{100}[/tex] Shortened version of the equation. Total of restaurants, multiplied by percentage and divided into 100 (total percentage)
[tex]x = 8.8[/tex]
[tex]49.2 - 8.8 = 40.4[/tex] New total
Third-year- 40.4 restaurants
[tex]x = \frac{40.4 x 18}{100}[/tex]
[tex]x = 7.2[/tex]
[tex]40.4-7.2 = 33.2[/tex] New total
Fourth-year- 33.2 restaurants
[tex]x = \frac{33.2x 18}{100}[/tex]
[tex]x = 6.3[/tex]
[tex]33.2- 6.3= 26.9[/tex] New total
Fifth-year- 26.9 restaurants
[tex]x = \frac{26.9 x 18}{100}[/tex]
[tex]x = 4.8[/tex]
[tex]26.9-4.8 = 22.1[/tex] New total
Sixth-year- 22.1 restaurants
[tex]x = \frac{22.1x 18}{100}[/tex]
[tex]x= 3.96[/tex]
[tex]22.1-3.9 = 18.1[/tex]
According to this at this rate, it will take at least 6 years for the number of restaurants to be below 20.
Where does this number belong … 5/9?
Answer:
it belongs to rational number......
What is 1+1×80+5-23+456×47+56784-2647= Put the answer in Standard form
Answer:
[tex]7.5632 *10^{4}[/tex]
Step-by-step explanation:The simplification
1+1×80+5-23+456×47+56784-2647
=1+80+5−23+(456)(47)+56784−2647
=81+5−23+(456)(47)+56784−2647
=86−23+(456)(47)+56784−2647
=63+(456)(47)+56784−2647
=63+21432+56784−2647
=21495+56784−2647
=78279−2647
=75632
Converting 75632 into standard form [tex]7.5632 *10^{4}[/tex]
What is the pattern between these numbers 49, 47, 52, 50, 55
Answer:
subtract 2, and add 5 repeatedly
Step-by-step explanation:
49, 47, 52, 50, 55
subtract 2, and add 5 repeatedly
49-2=47
47+5=52
52-2=50
50+5=55
55-2=53
53+5=58
and so on........
The pattern between these numbers is first subtracting 2 and then adding 5.
How to find the pattern between a sequence ?To find a pattern between a given sequence of numbers observe the sequence carefully and try to think about different arithmetic operations that can be suited for.
According to the given question we have to find pattern between these numbers 49, 47, 52, 50, 55.
After observing this sequence of numbers we can understand than they are in the sequence pattern of subtracting 2 and adding 5.
Now,
49 - 2 = 47.
47 + 5 = 52.
52 - 2 = 50.
50 + 5 = 55.
learn more about pattern between numbers here :
https://brainly.com/question/5214716
#SPJ2
1 point Dan's basketball coaches have set up the following schedule for practice: 10 minutes warm-up and stretching; 15 minutes of defensive drills; 10 minutes of passing drills; 20 minutes of shooting practice; and x minutes of time to scrimmage. Which expression(s) represent the amount of time Dan will practice each week if they practice 3 days per week? *
(a)10+15+10+20+X
(b) 3(10+15+10+20+x)
(c)3(55+x)
(d)165+x
(e)165+3x
(f)168x
Answer:
The answer is (e)
Step-by-step explanation:
You know that the total time for one practice is (10+15+10+20+x). You can simplify that by adding like terms to get (55+x). You need that amount multiplied by three because he has 3 practices a week. so therefore you get 3(55+x). You distribute that three to both terms to get the simplest form which is 165 + 3x.
5. What is the solution to the equation --3(x+5) == 30
Answer:
solution set={35/3}
Step-by-step explanation:
--3(x+5)=50
opening brackets to simplify3x+15=50
subtracting 15 on both sides to find the value of x3x+15-15=50-15
3x=35
dividing 3 on both sides to find the value of x3x/3=35/3
x=35/3=11.66
solution set={35/3}
hope it will help ^_^
Pleaseeee solve this math for me I reallyyyy neeed help
Pleaseee
Any wrong answer I’ll report
Answer:
see explanation
Step-by-step explanation:
Given that z² is directly proportional to w then the equation relating them is
z² = kw ← k is the constant of proportion
To find k use the condition z = 4 when w = 8, thus
4² = 8k
16 = 8k ( divide both sides by 8 )
2 = k
(i)
z² = 2w ← equation of proportion
(ii)
When w = 18, then
z² = 2 × 18 = 36 ( take the square root of both sides )
z = [tex]\sqrt{36}[/tex] = 6
(iii)
When z = 5 , then
5² = 2w
25 = 2w ( divide both sides by 2 )
w = 12.5
Arthur can throw a ball twice as far as Beatrice. Beatrice can throw a ball one-third as far as Cory. Cory can throw a ball twice as far as Dominick. What is the ratio of the distance of Arthur's throw to Dominicks throw? Detailed answer please!
Answer:
A : D
4 : 3
Step-by-step explanation:
We'll use the first letter of their names as the heading for the ratio.
The first line states:
A : B
2 : 1
The second line states:
B : C
1/3 : 1
The third line states:
C : D
2 : 1
We have three different ratios but we know that they are related to one another so we are going to combine them by equating the common ratio of the different ratios.
Let's look at the ratio with a fraction first.
B : C
1/3 : 1
If we ×3 throughout, this can also be written as:
B : C
1 : 3
Now B in the first and second ratio is the same number and we are able to combine them. We can write them all together like this:
A : B : C
2 : 1 : 3
In the third ratio, C is 2, however in the ratio we have now C is 3. We can make them the same number by ×3 throughout the third ratio and ×2 throughout the ratio we have now.
C : D
2 : 1
6 : 3
A : B : C
2 : 1 : 3
4 : 2 : 6
We can see that our ratio for C is the same number and we can now combine the ratios.
A : B : C : D
4 : 2 : 6 : 3
The question asked for A : D so we can take just the values of A and D.
A : D
4 : 3
I hope this helps :)
Li uses 8.4 grams of sugar every day in her tea. Sue uses 12.6 grams of sugar every day in her coffee. If Li’s sugar canister contains 128 grams of sugar and Sue’s canister contains 191 grams, in how many days will Li and Sue have the same amount of sugar in their canisters?
Answer:
They will have the same amount of sugar in their canisters in 15 days
Step-by-step explanation:
Here in this question, we are concerned with knowing the number of days in which the amount of sugar in both canisters will be the same.
Since we do not know the number of days it will
take, we have to represent it using a variable.
Let the number of days be x days
Now, we are told Li uses 8.4 g per day.
So in x days, the amount user will be 8.4 * x = 8.4x g
Thus, the amount of sugar remaining in her canister after x days will be 128 - 8.4x
For Sue, she uses 12.6 grams each day. So in x days, the amount of sugar used will be 12.6 * x = 12.6x g
So the amount of sugar left in her canister will be 191-12.6x
Since on the xth day , the amount of sugar remaining is same, we can equate the amount of sugar remaining in both canisters. That would be;
128-8.4x =191-12.6x
Collect like terms;
12.6x-8.4x = 191-128
4.2x = 63
x = 63/4.2
x = 15 days
At the farmers’ market, two pounds of peaches cost $4.20. How much will give pounds cost?
Answer:
$10.50
Step-by-step explanation:
If 2 pounds cost $4.20, then each pound costs $2.10. Five pounds will cost ...
$2.10 × 5 = $10.50
A $20 T-shirt was reduced by 20%. What is the new price of the T-shirt?
Answer: $16
Step-by-step explanation:
reduce by 20% means cutting from 100% and leftover with 80% of original
100%-20%=80%
original price: $20×100%=$20
after reduction: $20×(100%-20%)=$16
Answer:
16
Step-by-step explanation:
First find the discount
20 * 20%
20 * .20
4
Subtract this from the price
20 -4
16
The new price is 16
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Solve the equations for x and match the solutions.
Answer:
[tex] -ax - 20 = -14 [/tex] => [tex] x = -\frac{6}{a} [/tex]
[tex] 4 = \frac{6}{a}x + 5 [/tex] => [tex] x = -\frac{a}{6} [/tex]
[tex] 7 + 2ax = 13 [/tex] => [tex] x = \frac{3}{a} [/tex]
Step-by-step explanation:
[tex] -ax - 20 = -14 [/tex]
[tex] -ax - 20 + 20 = -14 + 20 [/tex]
[tex] -ax = 6 [/tex]
[tex] \frac{-ax}{-a} = \frac{6}{-a} [/tex]
[tex] x = -\frac{6}{a} [/tex]
[tex] 4 = \frac{6}{a}x + 5 [/tex]
[tex] 4 - 5 = \frac{6}{a}x + 5 - 5 [/tex]
[tex] - 1 = \frac{6}{a}x [/tex]
[tex] - 1*\frac{a}{6} = \frac{6}{a}x*\frac{a}{6} [/tex]
[tex] -\frac{a}{6} = x [/tex]
[tex] x = -\frac{a}{6} [/tex]
[tex] 7 + 2ax = 13 [/tex]
[tex] 7 + 2ax - 7 = 13 - 7 [/tex]
[tex] 2ax = 6 [/tex]
[tex] \frac{2ax}{2a} = \frac{6}{2a} [/tex]
[tex] x = \frac{3}{a} [/tex]
if m and n vary directly and m=3 when n=2, what is the value of m when n=4
no
Answer:
m = 6
Step-by-step explanation:
We know that m and n vary directly and that m = 3 when n = 2. How would we find m when n = 4? For starters, we can see that the value of n doubled (we know this because 2 doubled is 4), and since m and n vary directly, when n doubles, so does m so the answer is m = 3 * 2 = 6.
Whats the right answer?
Answer:
A
Step-by-step explanation:
Hello, I assume that the quadratic function f has real coefficients, so this is something like, a, b and c being real numbers
[tex]f(x)=ax^2+bx+c[/tex]
If a complex number z is a zero of f ( meaning solution of f(x)=0) then
[tex]\overline z[/tex] which is the conjugate of z is a zero too, because
[tex]\text{if } f(z)=0=az^2+bz+c \text{ then}\\\\\overline {f(z)}=0=a\overline z ^2 +b \overline z + c\\\\\text{meaning } f(\overline z)=0[/tex]
Here, we know that [tex]\sqrt{7}+5i[/tex] is a solution, so
[tex]\overline {\sqrt{7}+5i}= \sqrt{7}-5i[/tex] is a solution too.
Thank you
Given g(x) = x+4. find the value of g(-3) to 3 decimal places,
Answer:
g(-3) = 0.012
or
D
Step-by-step explanation:
Step 1: Write out function g(x)
g(x) = x⁻⁴
Step 2: Define variable from problem
x = -3
Step 3: Plug in variable
g(-3) = (-3)⁻⁴
g(-3) = 0.012346
g(-3) ≈ 0.012
Can someone help me on Domain and Range.
Answer:
domain is the x axis points and range is the y axis points
Step-by-step explanation:
just mark the points on x axis and y axis then put them from left to right or bottom to top but i think you have the right answer there
In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on a math test than were sleep-deprived participants.
Answer:
Step-by-step explanation:
Sleep Deprivation
In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer correctly on a math test than were sleep-deprived participants.
(a) Identify the sample used in the study.
(b) What is the sample's population?
(c) Which part of the study represents the descriptive branch of statitics?
(d) Make an inference based on the results of the study?
Solution
A. The samples used is the hours of sleep and math test scores of the volunteers
B. The samples population is hours of sleep and math test scores of people in general
C. The part of the study that represent the descriptive branch of statistics is "three times more likely"
D.Inference: To perform well in a math test, a person should get at least 8 hours of sleep the night before.
Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. (5 points) a = 240 b = 123 c = 207
Answer:
Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.
240 + 123 > 207 true
240 + 207 > 123 true
123 + 207 > 240 true
A = √(s(s-a)(s-b)(s-c))
s is the semi-perimeter (a + b + c)/2
s = (240 + 123 + 207)/2
s = 285
A = √(285*(285-249)(285-123)(285-207))
A = 12,730 units^2
Step-by-step explanation:
What is the equation of the transformation of y=x^2, up 4 units and right 2 units?
Answer:
y = (x -2)^2 +4
Step-by-step explanation:
Translation (right, up) by (h, k) gives you the function ...
g(x) = f(x -h) +k
You want f(x) = x^2 to be translated right 2 and up 4, so it becomes ...
y = (x -2)^2 +4
if x-3, x+1, 4x-2 are in geometric sequence, find the value of x.
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
[tex]\blue\star[/tex]Givenx-3. eq 1
x+1 eq 2
4x-2 eq 3
Add equation 1 ,2 ,3
[tex]\blue\star[/tex]x -3 + x +1 +4x-2 =0
[tex]\blue\star[/tex]6x - 4 = 0
[tex]\blue\star[/tex]x = 4/6
[tex]\blue\star[/tex]x = 2/3
Hope it helps
Hope it help
Brenden runs six times a week for thirty minutes and lifts three times a week for twenty minutes. Write a mathematical expression for the number of hours Brenden works out in a week.
Answer:
H= x(6)+ y(6)Step-by-step explanation:
Let the number of hours for running be x
And the number of hours for lifts be y
Let the total hours for work out be H
Given that
x= 30 min* 6= 180 min =3 hours
y= 20 min *6 =120 min= 2 hours
H= 30(6)+ 20(6)
H= 180+120
H= 3+2
H= 5 hours of work out for the week
A customer brings a box with a mix of integers as inputs to a function machine. She wants you to program a function machine so that the output is always negative. Your manager suggests -x/2 - 10 . Did the manager make a good suggestion? Are there any inputs that will not meet the customer’s needs? Explain.
Answer:
The manager did not make a good suggestion.
Any values of x that are less than or equal to -20 will result in a non-negative output and will not meet the customer's needs.
A length of glass tubing is 10 cm long. What is its length in inches to the nearest inch? in.
Answer:
4 inches
Step-by-step explanation:
on egde 2020
Simplify √-12-√6
2i
√2i
i √2
Answer:
- 1 -5 \sqrt(2) + 12i
Hoped I helped
David needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee of $150 plus an hourly fee of $50. write an equation for P, in terms of t,t, representing the amount of money David would have to pay to use the studio for t hours.
Answer:
P = 150 + 50t
Step-by-step explanation:
Rate per hour = $ 50
Rate for 't' hours = 50 * t = 50t
Initial fee = $ 150
P = Initial fee + rate for t hours
P = 150 + 50t
Answer:
0=150
1=200
2=250
3=300
P= 50t +150
Calculate the answer to the appropriate number of significant figures:
32.1-1.51=
Answer:
30.59
is your answer ............
Three adjacent angles are at a point. The ratio of the measurements is 3:4:5. The angles should add to 360.
Answer:
90 degrees, 120 degrees and 150 degrees
Step-by-step explanation:
Given that three adjacent angles are at a point. The ratio of the measurements is 3:4:5. The angles should add to 360.
First add up all the ratio
3 + 4 + 5 = 12
For ratio 3
3/12 × 360 = 90 degree
For ratio 4
4/12 × 360 = 120 degree
For ratio 5
5/12 × 360 = 150 degree
90 + 120 + 150 = 360 degree.
The angles are therefore, 90 degrees, 120 degrees and 150 degrees