Answer:
x= −1/4 or x = 5
Step-by-step explanation:
Step 1: Factor left side of equation.
(4x+1)(x−5)=0
Step 2: Set factors equal to 0.
4x+1=0 or x−5=0
Answer:
x= −1/4 or x = 5
The factored form of the equation 4x²- 19x - 5 = 0 is (4x+1)(x-5).
The given equation is 4x²- 19x - 5 = 0.
To factor the quadratic expression on the left-hand side into two binomials.
The binomial factors will have the form (ax + b)(cx + d).
We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.
After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.
(4x² - 20x) + (x - 5) = 0.
4x(x - 5) + (x - 5) = 0.
(4x+1)(x-5)=0
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What is 730 divided by 30
Answer:
24 1/3
Step-by-step explanation:
long division
find the area of ABC
Answer:
area of ABC=1/2 b×h=1/2×20×6=30m²
Answer:
60 m^2
Step-by-step explanation:
( Base * Hight / 2 = Area)
20 * 6 = 120
120 / 2 = 60
) Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
can you pleas help and show your work :)
Answer:
9 cows, 15 chicken
Step-by-step explanation:
9 x 4 = 36
15 x 2 = 30
9 + 15 = 24
36 + 30 = 66
Classify the polynomial according to its degree and number of terms 8x.
quadratic binomial
seventh-degree binomial
seventh-degree monomial
linear monomial
Answer:
Linear monomial
Step-by-step explanation:
As here the number of terms is only 8x that is only one hence it is a monomial and as its degree here is 1 hence it is linear.
So it is a linear monomial.
An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)
Answer:
(A) 490ft.
(B) 2.8 miles
Step-by-step explanation:
Important points to note:
- The limestone layer is thought or assumed to slope downward in a straight line.
- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.
- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.
(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?
The expected depth of the limestone layer is:
2 miles + 3 miles = 5 miles
220ft + 270ft = 490ft
(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?
If 490ft ~ 5 miles
then 275ft ~ K miles
K = [275 x 5] / 490 = 2.80612245 miles
Rounding to 1 decimal place, the distance is 2.8 miles.
Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:
a.
1923.24
b.
1816.93
c.
1500
d.
1485
Answer:
c.
1500
Step-by-step explanation:
The computation of the total amount of interest in first month is shown below:
Interest for first month is
= Mortgage amount × interest rate ÷ total number of months in a year
= $300,000 × 6% ÷ 12
= $1,500
Hence, the interest in the first month is $1,500
Therefore the c option is correct
Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?
Answer:
about 29 seconds and 74 meters
Step-by-step explanation:
A phone plan costs $10 per month, plus $0.03 per text message. John wants his phone bill to be less than $40, before taxes. What is the
maximum number of text messages John can send?
A.) 333
B.) 999
C.) 1,333
D.) 1,666
Answer:999
Step-by-step explanation:
0.03x999=29.97
29.97+10=39.97$
Answer:
39.97
Step-by-step explanation:
6. Sheila simplified an expression using the following steps. Which property justifies Step 3?
Step 1: 5x + 4(3 + 2x)
Step 2: 5x + 12 + 8x
Step 3: 5x + 8x + 12
Step 4: 13x + 12
O A. Identity Property
O B. Associative Property
O C. Distributive Property
D. Commutative Property
Answer:
answer is Commutative Property
Step-by-step explanation:
Answer:D
Step-by-step explanation:Don't have one
Simplify to a single power of 5
Answer:
7
Step-by-step explanation:
multiplying exponents adds them together... 5+2=7
An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.
Answer:
a) The probability tree is constructed below
b) the probability that at least two women will be selected is 0.500
Step-by-step explanation:
Given the data in the question;
a) The probability tree is as follows;
3 men, 3 women
↓
_______________________|________________________
↓ ↓ ↓ ↓
3 men 2 men 1 man 0 men
0 women 1 woman 2 woman 3 women
b) the probability that at least two women will be selected
p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3
so
p( at least two women would be selected) = C
³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃
= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)
= 3 × 3 / 20 + 1 × 1 / 20
= 9/20 + 1/20
= 0.45 + 0.05
p( at least two women would be selected) = 0.500
Therefore, the probability that at least two women will be selected is 0.500
Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing
Answer:
99miles is more likely correct
or 114miles as knots is usually higher mileage
Step-by-step explanation:
70^2 + 70^2 = c^2
sqrt 4900 + sqrt 4900 = c^2
sq rt 9800 = c^2 = 98.9949494
99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph
70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.
PLEASE HELP MEEEEEE I need help quickly
Answer:
60
Step-by-step explanation:
There are sixty students.
15% = 9
------------------
100% = x
Cross muliply.
900
------
15x
Divide 15x by 15, and 900 by 15.
Answer is 60.
I hope this helps!
Brainliest would be awesome!
Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.
Answer:
80.11 inches
Step-by-step explanation:
The formula to finding the circumference of a circle is:
C = 2πr (C = circumference, π = pi, r = radius)
Replace r with the radius:
C = 2π(12.75)
Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded
to the nearest hundredth is 80.11
What is the slope of the red and blue line
Answer:
red=-1/4 blue= 4/1
Step-by-step explanation:
rise/run
When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME
Answer:
its 7
Step-by-step explanation:
why did u delete my answer if its right?
Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question
Answer:
I guess 5
Step-by-step explanation:
2 q 0 n 0 d
1 q 1 n 2 d
1 q 3 n 1 d
1 q 5 n 0 d
0 q 3 d 4 n
–5(–2) also i checked and apparently its not -7
Answer:
Im pretty sure you need to multiply answer is 10
Step-by-step explanation:
because the -5and -2 are right next to each other and if -7 doesn't work thats the next best thing.
Which statement is not true? Help ASAP! Thanks!!
Answer:
4 option...... .......
Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
Solve x for -2x- 1 = -7
Answer:
x = 3
Step-by-step explanation:
Add 1 on both sides.
We get:
-2x = -6
Now divide -6 by -2...
-6/-2 = 3
-2x -1 = -7
add the "-1" on both sides, -2x -1 +1 = -7 +1
-2x = -6
divide "-2" on both sides, -2x/-2 = -6/-2
x = 3
There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form
Step-by-step explanation:
substitute the given value in the standard form equation. it will give you the slope intercept form
Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but makes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is. *
Answer:
I think it is A that will take longer but im not 100 percent sure
Step-by-step explanation:
First write an equation:
Location A- 800+100x
Location B- 1200+200x
Then you need to plug numbers in for x
1) Which of the following are considered POLYNOMIALS according to the rules of polynomials? Check all that apply
Answer:
A polynomial is writen as:
p(x) = aₙ*xⁿ + ... + a₂*x² + a₁*x¹ + a₀
So we can only have positive integer exponents of x.
the coefficients "a" can be any real number.
Let's analyze the options:
1) Here we can see a term with "√x", remember that:
√x = (x)^(1/2)
This is not an integer exponent, then this is not a polynomial.
2) This is a polynomial.
3) Here we have the term "4/x"
This can be written as:
4/x = 4*x^(-1)
Then this is not a polynomial.
4) Here we have the term "5^x"
In a polynomial we must have powers of x, not x as a power, then this is not a polynomial.
5) This is a polynomial.
6) Here we have the term " 2/x^2"
This can be written as:
2/x^2 = 2*x^(-2)
We have a negative exponent of x, then this is not a polynomial.
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.
A=
Step-by-step explanation:
area of trapezium = 15× 12 + 1/2× 12× 5
= 180 + 30 = 210
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
please help me get this answer
Answer:
Step-by-step explanation:
Due to similarity in Tri ABC and ADE so,
[tex]\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}[/tex]
[tex]AE=28.2*\frac{20}{24} =23.5cm[/tex]
[tex]EC=AC-AE =28.2-23.5=4.7cm[/tex]
The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?
Answer:
Carbon
Step-by-step explanation:
When the power of 10 is negative, the less the exponent the bigger the number
Answer:
Step-by-step explanation:
the larger number is 1.995x10^-23
Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive the formula for A 2) Using the formula, find the value of A when m= 3 and
Given, to find A we have to :
square mAdd y to m²Subtract 7 from m² + yFrom the question, the following equation can be formed :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Therefore, the formula for finding A = m² + y - 7
Solution (2) :The value of A we can derive from the formula is :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Value of m = 3 (given)
Which means :
[tex] =\tt A = {3}^{2} + y - 7[/tex]
[tex] =\tt \: A = 9 + y - 7[/tex]
[tex] =\tt A = 9 - 7 + y[/tex]
[tex]\color{plum} =\tt A = 2 + y[/tex]
Thus, the value of A = 2+y
Therefore, the value of A = 2+y
n is an integer.
Write the values of n such that -15 < 3n <6
I need know please
Answer:
-5<n≤2
Step-by-step explanation:
Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2
-5/6+1/4
Simplify if needed
Brainliest
Answer:
-7/12
Step-by-step explanation:
-5/6 + 1/4 (LCM is 12)
-10/12 + 3/12
-7/12