Answers
Answer:
-25 and -4
Step-by-step explanation:
to solve this, you need to use the sum product pattern. this means you're going to take the x factor, 29x and separate it into it's squares.
(x^2+25x)+(4x+100)
then you take out the common factor in each separated equation
x(x+25)+4(x+25)
you see that the items in the parentheses are the same, this means that this is one of the equations you will use when factoring. the rest of the equation that is left out (the common factors) is the other equation
(x+25)(x+4)
to get the zeroes, you set each equation equal to zero and solve
x+25=0 x+4=0
x= -25 x= -4
Related Questions
Use the FOIL method to check your answer from part A.
Answers
Answer: (3x=2) (x+2)
Step-by-step explanation:
Factor by grouping
three consecutive odd integers are such that three times the smallest is 9 more than twice the largest find the three numbers
Answers
Answer:
17, 19, 21
Step-by-step explanation:
let the 3 consecutive odd numbers be n, n + 2 and n + 4 , then
3n = 2(n + 4) + 9 ( 3 times smallest is 9 more than twice the largest )
3n = 2n + 8 + 9
3n = 2n + 17 ( subtract 2n from both sides )
n = 17
n + 2 = 17 + 2 = 19
n + 4 = 17 + 4 = 21
The 3 numbers are 17, 19, 21
5) The school that Lexy goes to is selling tickets to the annual talent show. On the first day
of ticket sales the school sold 14 adult tickets and 11 student tickets for a total of $128. The
school took in $88 on the second day by selling 14 adult tickets and 1 student ticket. What
is the price of each adult ticket and student ticket?
$6.00 for adult tickets and $4,00 for student tickets
how do you work it out
Answers
Answer:
Adult ticket is $6
Student ticket is $4, as you said.
Step-by-step explanation:
We'll call adult tickets x and student tix y.
14x + 11y = 128
14x + y = 88
First, solve the second equation for y in terms of x:
y = 88- 14x
Then substitute that for y into the first equation:
14x + 11(88-14x) = 128
14x + 968 - 154x = 128
-140x = -840
x = 6 The adult ticket is $6, like you said.
Now take that and solve for y:
y = 88 - 14(6)
y = 88 - 84
y = 4 The student ticket is $4, as you said.
Hope this helps. Feel free to ask questions so you can understand.
At a baseball game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
S is sodas and H is hotdogs
You can get two equations from the statement
Total sold of 172= S + H
And S-58=H
Replace the H in the first equation with the second
So
172=S+(S-58)
230=S+S =2S
230/2=S=115
115-58=57=H
And to check 57+115=172 total again
A set of counters is numbered 1 through 12. Suppose you draw one counter without looking. What is the probability of choosing a number greater than 4?
Question 5 options:
2/3
1/12
1/3
1/6
Answers
8/12 = 2/3
Which graph does not represent a function?
ਦੀ
Answers
Answer:
D
Step-by-step explanation:
D is the no function graph because the x repeat, if x repeats it means it's not a function and in this graph it's the same x for every y.
Bill bought a table on sale for $630. This price was 72% of the original price.
What was the original price?
Answers
Answer:
The original price was $875.
Step-by-step explanation:
a = p * w
630 = 72% * w
630 / 0.72 = $875
$875 should be the original price, I hope this helps!
what’s the measure of angle 6?
Answers
Answer: The measure of angle 6 is 120°
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Which equation is a linear equation?
y=2x2+3
y=2/x+3
y=2x+3
y=2x+3
Answers
rotate 270° counterclockwise
Answers
Answer:
When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.
Step-by-step explanation:
A godown measures 40 m * 25 m* 10 m. Find the maximum number of wooden crates
each measuring 1.5 m* 1.25 * 0.5
that can be stored in the godown.
Answers
Answer:
n = 10667
Step-by-step explanation:
The measure of a godown = 40 m × 25 m × 10 m
The measure of wooden crate = 1.5 m × 1.25 m × 0.5 m
We need to find the maximum number of wooden crates that can be stored in the godown. Let there are n wooden crates. So,
[tex]n=\dfrac{40\times 25\times 10}{1.5\times 1.25\times 0.5}\\\\n=10666.67[/tex]
or
n = 10667
Hence, there are approx 10667 wooden crates can be stored.
GIVING BRAINLEIST PLS HURRY
Answers
Answer:
B. 5 cm, 5 cm, 5cm
Step-by-step explanation:
You can see in the picture that the sides are all 5
Answer:
the answerrrrrrrrr is B
How do the villagers investigate the hole?
Answers
Answer:
they get in a hole and they grab the dirt and examine it
Step-by-step explanation:
Answer:the shout and throw a pebble into the hole
Step-by-step explanation:
I need help finding X
Answers
Is this right (plzzz help
Answers
Answer:
sorry bud dont know this
Step-by-step explanation:
sorry bud
The Marino family bought 4 tickets to the circus. Each ticket costs $14.95. What was the total cost of the tickets?
Answers
The Marino family spent $59.80 on tickets in total.
the distance from the base of a flagpole to a point on the ground is 24 feet. the flagpole has a height of 18. what is x the distance from the top of the flagpole to the ground.
Answers
You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.
The distance from the top of the flagpole to the ground is 30 feet.
What is Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Given the distance from the base of a flagpole to a point on the ground = 24 feet
height of flagpole = 18 feet
the distance from the top of the flagpole to the ground is x
by Pythagorean theorem, we can find the distance
h² = b² + p²
h = hypotenuse = x
b = base = 24 feet
h = height = 18 feet
x² = 24² + 18²
x² = 576 + 324
x = √900
x = 30 feet
Hence the value of x is 30 feet.
Learn more about Pythagorean theorem;
https://brainly.com/question/14930619
#SPJ5
Find the part. What is 110% of 14.9?
Answers
Answer:
16.39
Step-by-step explanation:
Solution 1: You can turn the words into Algebra so What (x) is(=) 1.10 of (multiply)14.9, So x = 1.10 (14.9). x= 16.39
When you see the word what, place an 'x', is means '=', 110% = 1.10
Solution 2: Notice how 100 percent is already 14.9 so 110% should be greater than 14.9, so we're missing another 10%, and 10% of 14.9 is 1.49 just by moving the decimal over. So you would need 14.9 + 1.49 more, so a total of 16.39.
AAAH HELP! Assume that r varies directly as p. What is the constant of proportionality if r = 3 when p = 15. k = 1\5 k = 5 k = 3 k = 45
Answers
Answer:
k = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Given that r varies directly as p then the equation relating them is
r = kp ← k is the constant of variation
To find k use the condition r = 3 when p = 15, then
3 = 15k ( divide both sides by 15 )
[tex]\frac{3}{15}[/tex] = k , that is
k = [tex]\frac{1}{5}[/tex]
Answer:
k = 1/5
Step-by-step explanation:
Write the 24 hour clock time which is 17min later than 13:55
Answers
Answer:
14:12
Step-by-step explanation:
Answer:
After entering a time in 24-hour format, this calculator lets you add and subtract a period to give a new time, also in 24 hour format. The 24 hour time format is also known as "military time".
For example, you could enter the time 15:00:00 (3 pm), then add 70 seconds to it which would give 15:01:10 ( 3:01 and 10 seconds pm).
10 When line a is drawn in the xy-plane, it passes through quadrants II and III, but not through quadrants I and IV. Which of the following could des ribe line a ? A) The slope is 1 and the x-intercept is 0. B) The slope is () and the y-intercept is 5. C) The slope is -1 and the y-intercept is 0. D) The slope is undefined and the x-intercept is -5.
Answers
Answer:
D the slope is undefined and the y intercept is -5
Step-by-step explanation:
quadrant II and III are on the left. the only way for a line to pass through those two quadrants without passing through I and I would have to be a negative x intercept. The slope would have to be undefined which would make a diagonal line. if the slope was 1 or anything higher it would end up hitting the other quadrants.
please help I will mark brainliest
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answers
Answer:
Choice 1) no
Choice 2) yes
Choice 3) yes
Choice 4) no
Choice 5) yes
Choice 6) no
Answer:
2, 3, & 5
Step-by-step explanation:
I'm not good at functions
Answers
1,16
2,14
4,10
5,8
Answer:
When x is equal to 1, y is equal to 18-2(1), which is equal to 16.
When x is equal to 2, y is equal to 18-2(2), which is equal to 14.
When x is equal to 4, y is equal to 18-2(4), which is equal to 10.
When x is equal to 5, y is equal to 18-2(5), which is equal to 8.
Let me know if this helps!
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answers
Answer:
480y
Step-by-step explanation:
multiply 6 x 8 x 60= 480
Order these from least to greatest: -4.22, 0.8, -4 1/2, 8.4, 4/3
Answers
Answer:
-4 1/2, -4.22, 0.8, 4/3, 8.4
Step-by-step explanation:
-4 1/2 means -4.50, which is smaller than -4.22
4/3 means 1.33, which is smaller than 8.4
Integrating sums of functions
Answers
Answer:
(a) -12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityCalculus
Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Swapping Limits]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = -\int\limits^a_b {f(x)} \, dx[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^6_4 {f(x)} \, dx = 5[/tex]
[tex]\displaystyle \int\limits^4_{10} {f(x)} \, dx = 8[/tex]
[tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx[/tex]
Step 2: Solve Pt. 1
[Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = \int\limits^{10}_6 {4f(x)} \, dx + \int\limits^{10}_6 {10} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4\int\limits^{10}_6 {f(x)} \, dx + 10\int\limits^{10}_6 {} \, dx[/tex]Step 3: Redefine
Manipulate the given integral values.
[Integrals] Combine [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx = \int\limits^6_{10} {f(x)} \, dx[/tex][Integral] Rewrite: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = \int\limits^6_4 {f(x)} \, dx + \int\limits^4_{10} {f(x)} \, dx[/tex][Integral] Substitute in integrals: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 5 + 8[/tex][Integral] Add: [tex]\displaystyle \int\limits^6_{10} {f(x)} \, dx = 13[/tex][Integral] Rewrite [Integration Property - Swapping Limits]: [tex]\displaystyle -\int\limits^{10}_6 {f(x)} \, dx = 13[/tex][Integral] [Division Property of Equality] Isolate integral: [tex]\displaystyle \int\limits^{10}_6 {f(x)} \, dx = -13[/tex]Step 4: Solve Pt. 2
[Integral] Substitute in integral: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10\int\limits^{10}_6 {} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(x) \bigg| \limits^{10}_6[/tex][Integral] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(10 - 6)[/tex][Integral] (Parenthesis) Subtract: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = 4(-13) + 10(4)[/tex][Integral] Multiply: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -52 + 40[/tex][Integral] Add: [tex]\displaystyle \int\limits^{10}_6 {[4f(x) + 10]} \, dx = -12[/tex]Topic: AP Calculus AB/BC
Unit: Integration
Book: College Calculus 10e
‼️‼️‼️‼️Please Help I really need to submit this by the end of the day and will automatically give branch to first answer‼️‼️‼️‼️‼️
Answers
Answer:
1. 9 = x
2. y = 2
Just copy these steps on paper, then submit.
Writing it yourself will help you, trust me :)
1. 2(x + 5) = 3x + 1
2(x + 5) = 3x + 1
Distribute the 2
2x + 10 = 3x + 1
-1 -1
2x + 9 = 3x
-2x -2x
9 = x
2. 3y - 4 = 6 - 2y
3y - 4 = 6 - 2y
+4 +4
3y = 10 - 2y
+2y +2y
5y = 10
Divide both sides by 5
y = 10/5
y = 2
Which is the minimum or maximum value of the given function?
51
4
3
21
1P
-5
-4
-3 -2
-1
0
1
21
31
4
5
-1
-3
-41
-5
Answers
Answer:
the minimum value of the given function is -4
The selling price of an article is 20% less than its marked price and the marked
price is 30% above the cost price. Find the profit percent.
Answers
Answer:
sp=mp-20%ofmp=0.8mp
mp=cp+30%ofcp=1.3cp
mp=1.3cp
cp=mp/1.3
profit %=?
Step-by-step explanation:
profit=sp-cp=0.8mp-mp/1.3=(1.04mp-mp)/1.3=0.04mp/1.3=0.0307mpProfit %=profit/cp×100%=0.0307mp/mp/1.3×100%=0.0307×1.3×100%=3.991%=4%The profit percentage is 4% .
What is profit percentage?Profit percentage (%) is the amount of profit expressed in terms of percentage. This profit is based on the cost price .
Formula for profit percentage is:
(Profit/Cost Price) × 100
where,
Profit = Selling price - Cost price
According to the question
Let Cost price of the article = 100x
marked price is 30% above the cost price
i.e marked price = [tex]\frac{130}{100} * 100x[/tex]
= 130 x
selling price of an article is 20% less than its marked price
i.e Selling price of the article = [tex]130x * \frac{100-20}{100}[/tex]
= [tex]130x * \frac{80}{100}[/tex]
= 104 x
Now ,
Profit = Selling price - Cost Price
Profit = 104x -100x
Profit = 4x
Profit percentage = [tex]\frac{Profit}{Cost PRice} *100[/tex]
substituting the values in formula
Profit percentage = [tex]\frac{4x}{100x} *100[/tex]
Profit percentage = 4%
Hence, the profit percentage is 4% .
To know more about profit percentage here:
https://brainly.com/question/11018349
#SPJ2
how can you get 2 1/2÷5/8
Answers
Answer: 4
Step-by-step explanation:
Change the 2.5 to an improper fraction, then multiply by the reciprocal of 5/8.
[tex]2\frac{1}{2} /\frac{5}{8} =\frac{5}{2}*\frac{8}{5}=\frac{40}{10} =4[/tex]
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Divide: 5/
2
: 5/
8
= 5/
2
· 8/
5
= 5 · 8/
2 · 5
= 40/
10
= 10 · 4/
10 · 1
= 4
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/
8
is 8/
5
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 10 gives 4/
1
.
In words - five halfs divided by five eighths = four.