Answer:
x = 4
Step-by-step explanation:
Given
2x² - 7x - 4
To solve for x , equate the expression to zero
2x² - 7x - 4 = 0 ← in standard form
(x - 4)(2x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus the positive value of x is x = 4
Answer:
x=4
Step-by-step explanation:
Hope this helped have an amazing day!
y^3-8y^2+19y=12
Solve
Answer:
Step-by-step explanation:
steps are below
step 1
y^3-8y^2+19y=12 equation
step 2
y^3-8y2+19y(-12)=12(-12) minus 12 from both sides
y^3-8y^2+19y-12=0
step 3
(y-1)(y-3)(y-4)=0 add brackets
step 4
(y-1)(y-3)(y-4)=0 factor
step 5
y-1=0 or y−3=0 or y-4=0 set them equal
Answer:
y=1 or y=3 or y=4
What Is the solution for the equatlon 6x - 8 = 4X? X=
(Input whole number only).
Answer:
x = 4
Step-by-step explanation:
6x - 8 = 4x
-6x -6x
-8 = -2x
-----------
-2
x = 4
Find the 15th term: 1/2, 1/4, 0, -1/4,...
Step-by-step explanation:
a(n) = a +(n-1)d
d=1/4 -1/2 =-1/4
°.° a(15) = 1/2 +(15–1) -1/4
a(15) = 1/2 -3.5
=-3
hope it will help
will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
x=15
Step-by-step explanation:
1) If you are driving 75 MPH and you sneeze you lose sight of the road for 6 seconds. How many feet do you drive in those 6 seconds? explain you're answer, pls !
Answer:
0.125 feet
75/60 to get minutes
0.02/60 to get seconds
multiply by 6
Step-by-step explanation:
solve for the number
18 is 9% of what number?
The answer is 50 hope this helps you!
Answer: 200
Work: I just did 18 x 100 divided by 9, and you get the number. 18 x 100 = 1800, and I divided it by 9, and I got 200. I checked it by doing 200 x .09 (Percentage) and I had gotten 18. (Check) I hope this helps, and happy Holidays! :)
The lines graphed below show the amounts of water in two tanks as they were being filled over time.For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
3 points
Answer: Tank B is proportional because tank A doesn't work because it doesn't go through (0,0) but if it was y=kx, then it would have to go through (0,0), since 0=k*0. For tank b k is 300.
I got 100 for this so gl
The relationship between time and the volume of water in Tank B is proportional.
What is a line graph?A line graph is a type of graph where the data points are connected by segments of straight lines.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a line graph shown in the picture.
As we know,
Variables in a linear function will be proportionate if it passes through the origin.
y = mx + b
b is y-intercept = 0
y = mx
The relationship between time and the volume of water in Tank B is proportionate since the straight line passes through the origin.
Thus, the relationship between time and the volume of water in Tank B is proportional.
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Tax is paid on meals in a restaurant.
The price of a meal is $65.35 this includes the tax of $11.45.
What is the percentage tax?
Answer:
17.52%
Step-by-step explanation:
65.35/11.45 = 0.1752
.1752 * 100
= 17.52
what is 1.75 divided by 7
Answer:
0.25
Step-by-step explanation:
1.75/7 would equaln0.25, use your calculator if you have one
The decimal 1.75 when divided by the number 7 gives the decimal 0.25.
In mathematics, a decimal is a base-10 numeral system applied to characterize real numbers. It's known as "decimal" because it uses ten dissimilar symbols, videlicet the digits 0 through 9, to portray all achievable values. The decimal system is the most generally used numeral system in day-to-day life.
The decimal system works on a positional memorandum principle, where each digit's position determines its value within the number.
The decimal 1.75 can be written as a fraction as follows:
[tex]1.75 = \dfrac{175}{100}[/tex]
[tex]= \dfrac{7}{4}[/tex]
To divide 1.75 by 7, let's divide [tex]\dfrac{7}{4}[/tex] by 7.
[tex]\dfrac{7}{4} \div 7\\= \dfrac{7}{4} \times \dfrac{1}{7}\\= \dfrac{1}{4} \times 1\\= \dfrac{1}{4}\\= 0.25[/tex]
Thus, 0.25 is 1.75 divided by 7.
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sum compounded alluny
Shar
d) The difference between the annual and semi-annual compound interest on
of money is Rs 482 at the rate of 20 % per annum for 2 years. Find the sum
Answer:
Rs 20000
Step-by-step explanation:
Let the sum is x.
The rate of interest, r=20%=0.2
Time, t=2 years.
Total amount after t years, [tex]A= x \left(1+\frac{r}{n}\right)^{tn}[/tex]
The value of n when compounded annually, n=1
So, the total amount,
[tex]A_1=x \left(1+\frac{0.2}{1}\right)^{2\times 1}=x(1.2)^2[/tex]
The compound interest when compounded annually,
[tex]I_1 =x(1.2)^2-x[/tex]
The value of n when compounded semi-annually, n=2
So, the total amount, [tex]A_2 = x \left(1+\frac{0.2}{2}\right)^{2\times 2}=x(1.1)^4[/tex]
The compound interest when compounded semi-annually,
[tex]I_2 =x(1.1)^4-x[/tex]
As the difference between the annual and semi-annual compound interest on x amount of money is Rs 482, so
[tex]I_2-I_1=482 \\\\(x(1.1)^4-x)-(x(1.2)^2-x)=482 \\\\x(1.1)^4-x(1.2)^2=482 \\\\x(1.1^4 - 1.2^2) = 482 \\\\x(0.0241) = 482 \\\\x=482/0.0241 \\\\[/tex]
x=20000
Hence, the sum is Rs 20000.
Given f(x)=2x²+2x-4, which is correct?
A) f(0)=0
B) f(-1)=4
C) f(b+1)=2b²+6b-4
D) f(a)=2a²+2a-4
Answer:
Option D: f(a) = 2a²+2a-4 is the correct answer.
Step-by-step explanation:
Given that:
f(x)=2x²+2x-4
We will check the function at the given value;
A. f(0)
Putting x=0 in given function
f(0) = 2(0)²+2(0) - 4
f(0) = 0+0-4
f(0) = -4
B. f(-1)
Putting x=-1
f(-1) = 2(-1)²+2(-1)-4
f(-1) = 2(1) -2-4
f(-1) = 2-6
f(-1) = -4
C. f(b+1) = 2b²+6b-4
Putting x=b+1
f(b+1) = 2(b+1)²+2(b+1)-4
f(b+1) = 2(b²+2b+1)+2b+2-4
f(b+1) = 2b²+4b+2+2b+2-4
f(b+1) = 2b²+6b
D. f(a) = 2a²+2a-4
Putting x=a
f(a) = 2(a)²+2(a)-4
f(a) = 2a²+2a-4
Hence,
Option D: f(a) = 2a²+2a-4 is the correct answer.
Solve the system by elimination. {2x+y=13x−y=−4 A. (3, 7) B. (2, 6) C. (4, 8) D. no solution
Answer:
A
Step-by-step explanation:
Given the 2 equations
2x + y = 13 → (1)
x - y = - 4 → (2)
Add the 2 equations term by term to eliminate the y- term, that is
3x = 9 ( divide both sides by 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
2(3) + y = 13
6 + y = 13 ( subtract 6 from both sides )
y = 7
solution is (3, 7 ) → A
Answer:
Step-by-step explanation:
2x+y=13
x - y =-4 lets add both equations
3x=13-4
x=9/3 , x=3
3-y=-4, y=7
choice A
whats the answer giving brainliest MATH
Answer:
the answer is b
Step-by-step explanation:
Answer:
D i believe
Step-by-step explanation:
hope this helped!!!
-BB
You decide to make lasagna for dinner. The baking dish in the shape of a rectangular prism measures 13 inches by 9 inches by 2 inches. What is the volume of the container?
Volume = 13in * 9in * 2in = 234in³.
Answer:
234 inches³
Step-by-step explanation:
Formula for volume of a prism = [tex]L \times W \times H[/tex] (L = length, W = width, H = height)
[tex]\therefore[/tex] volume for baking dish = 13 × 9 × 2
= 234 inches³
Hope this helps :)
Write an equation for the proportional relationship shown in the table.
x 0.5
1
1.5
2
y
19
38
76
57
y= x
9514 1404 393
Answer:
y = 38x
Step-by-step explanation:
The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...
y = kx
y = 38x
A coat is on sale for $76 tax is 8% what is the amount of tax
Answer:
$6.08
Step-by-step explanation:
8% = 0.08
76 × 0.08
= $ 6.08
There are 91 days until the craft sale. Autumn needs to make 817 rings before the sale. She wants to make about the same number of rings each day. About how many rings should she make each day? Explain how Autumn can use compatible numbers to estimate
Answer:
9 rings
Step-by-step explanation:
Given that :
Number of days until craft sale = 91 days
Number of rings required to make before sale = 817 rings
If same number of rings is made per day;
Number of Daily ring production will be ;
817 / 91
= 8.978 rings
= 9 rings (approximately)
Andre ran 2 km in 15 minutes Jada ran 3 km in 20 minutes did they run at the same speed?
Answer:
No
Step-by-step explanation:
Speed = Distance/Time
andre: 2km/15min = 4.97097
jada: 3km/20min = 5.59234
jada ran faster
What is the value of cos(4pi/3)
Answer: B.-1/2 on edg
Answer:
Answer: B.-1/2
Step-by-step explanation:
A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
the service to clean a certain number of square feet within a home.
Square Feet and Cleaning Time
80
Nurnber of Square
50
100
150
Feet, x
Time in Minutes,
32
40
60
Based on the table, how many minutes would it take for the service to clean 200 square feet?
O 20 minutes
O 80 minutes
O 125 minutes
O 400 minutes
can someone please help me im struggling on this one
Answer:
Equation: 32° + 30° + x° = 180°Solved: x = 118°Step-by-step explanation:
3 angles = 180°32° + 30° + x° = 180°62° + x = 180°Subtract 62 from each side, so it now looks like this: x = 118°So, x is 118°I hope this helps!
The number of gifts Nikki can wrap varies directly with the the amount of time she spends wrapping them. She can wrap 14 gifts in 2 hours. How many gifts can she wrap in 6 hours?
Answer:
42 gifts.
Step-by-step explanation:
14/2=7
7*6=42
I PROMISE I WILL MARK AS BRAINLIEST please i want an answer
in the unit circle whose center is (o)if the length of the arc BC =1/3π , then sec (∠BOC) =
Answer:
Answer is = 1
Step-by-step explanation:
Hope it's answered you
Answer:
nice
Step-by-step explanation:
Help needed ASAP plzs .....
jasmine deals 2 cards. whats the probability of dealing 2 hearts in a row if she didn't replace the card after it was dealt?
WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Yorkeuri has a cake that weighs 80 ounces. How many pounds does the cake weigh? *
Answer: 5 pounds
Step-by-step explanation:
80 / 16 = 5
Answer:
5 pounds
Step-by-step explanation:
Hope this helps!
The diameter of a small pizza is 16 centimeters this is 2 centimeters more than two fiths of the diameter of a large pizza find the diameter of the large pizza
Answer:
35 cm
Step-by-step explanation:
Diameter of small pizza = 16
Let Diameter of large pizza = x
Diameter of small pizza = 2/5(x) + 2
2/5(x) + 2 = 16
(2x / 5) + 2 = 16
2x / 5 = 16 - 2
2x / 5 = 14
multiply both sides by 5
2x = 14 * 5
2x = 70
Divide both sides by 2
x = 70/2
x = 35
Diameter of large pizza = 35 mm
0.5 is equivalent to what rational number?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Determine if this is a valid statistical question: What proportion of New Jersey residents would choose vanilla as their favorite ice cream flavor? *
What would be the domain and range
Answer:
the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.