The solutions of the equation 2x²+7x+3=0 are x=-1/2 and x=-3.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is 2x²+7x+3=0
Two times of x square plus seven times of x plus three equal to zero is the form of quadratic.
We can solve the quadratic equation 2x²+7x+3=0 using factoring
Let us find two numbers whose product is 2x²+7x+3=0 and
whose sum is 7.
We can see that 2x²+7x+3=0
Let us factor by grouping
2x²+6x+x+3=0
2x(x+3)+(x+3)
=(2x+1)(x+3).
x=-1/2 and x=-3
Therefore, the solutions are x=-3 and x=-1/2.
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Please see attached image for problem.
Answer:
(0, 0)
Step-by-step explanation:
(4+(-4))/2= 0/2= 0
(-5+5)/2=0/2= 0
(0, 0)- mid point
Answer:
[tex](4,-5);(-4,5)[/tex]
Remember this can be interpreted as:
[tex](x_1,y_1);(x_2,y_2)[/tex]
Looking at our x values first we have:
[tex]\frac{4+(-4)}{2}=\frac{0}{2}=0[/tex]
Looking at our y values we have:
[tex]\frac{-5+5}{2}=\frac{0}{2}=0[/tex]
So our midpoint would be the point [tex](0,0)[/tex]
Janet wanted to determine her average phone call length over 90 days. She collected the phone bills and randomly picked ten entries to look at. The phone call lengths, in minutes, are shown below.
3, 9, 17, 9, 11, 3, 11, 3, 17, 3
Assuming that the sample was representative of all the entries on the bills, what was the mean number of minutes over 90 days?
A. 7
B. 10
C. 8.6
Mean is the average. Add the minutes together and divide by 10.
86 /10 = 8.6
The answer is c
GUYS PLEASE ANSWER URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
17 : i 12x^2(4x−3) ,
ii : 5x(x−3y) ,
iii: 5xy^2z(3x^2−5z^2)
18) since the two polynomial are equal then :
2x^3+ax^2+3x-5 = x^3+x^2-2x+a same remainder x-2 then x=2
2(2)^3+a(2)^2+3(2)-5=(2)^3+(2)^2-2(2)+a solve for a
-3a=9
a=-3
18 ) x^3+y^3 -125+15xy
x^3+y^3-(5)^3-3(x)(y)(-5) then factorize x^3+y^3
(x+y)(x^2-xy+y^2)- (5)(5)^2-3(x)(y)(-5) common factor x+y-5
(x+y-5)(x^2-xy+y^2-5^2-3xy given x+y=5
5-5( x^2-xy+y^2-25-3xy) = 0
the value of the expression equal to zero
Simon gets some money for his birthday.
Simon spends ¹/₂ of his money on a bike.
He then gets £20 more from his gran for his birthday.
He spends ¹/₄ of what he has left on a new game.
He has £57 left.
How much does Simon get for his birthday altogether?
Answer:
£112 initial + £20= £ 132
Step-by-step explanation:
Initial amount= x
(x-x/2+20)*3/4= 57(x/2+20)= 4*57/3x/2+20=76x/2=56x=2*56x=112And he received £20, added to initial amount it total to £132
Lets verify the answer:
112112-56= 5656+20=7676-76/4= 76-19= 5757=57Answer:
27
Step-by-step explanation:
(57 ÷ 4_1 +57 _20) ÷2
(57÷3 +57 _20) ÷2
(19+57 _20)÷2
(76 _ 20)÷2
(56 ) ÷2
= 28
PLEASE HELP MEE ILL GIVE THANKS AND BRANLIEST! Delilah has 150 microphones and each day he gives 10 away to his friends. The number of microphones left, s, if given a function of b, s = 150 - 10b. Solve the equation and determine how many are left.
Answer:
-10b+150
Step-by-step explanation:
Answer:
-(s-150)/10
Step-by-step explanation:
Gregory drinks 6 liters of water over 2 days. In how many days would he consume another 12 liters?
Answer:
12 liter in 4 days
Step-by-step explanation:
twice as many days, twice as many liters
Answer:
6 days
Step-by-step explanation:
"another 12 liters" => 12liters + 6 liters = 18 liters
6 liters - 2days
18 liters - x
6x = 18 * 2
x = 6 days
Which of the following statements must be true about parallelogram ABCD? answers: A) ∠ABC ≅ ∠DAB B) BE ≅ CE C) BE ≅ DE D) AB || BC
Answer:
Step-by-step explanation:
the answer is c
The statement must be true about parallelogram ABCD is BE ≅ DE option (C) BE ≅ DE is correct because the diagonals of a parallelogram bisect each other.
What is a Parallelogram?A parallelogram is a polygon with four sides, opposite sides of the parallelogram are parallel.
The parallelogram ABCD is shown in the figure.
A parallelogram is a type of quadrilateral,
The quadrilateral can be defined as the four-sided polygon in geometry having four edges and four corners.
The parallelogram has two diagonals, AC and BD.
From the property of Parallelogram,
The diagonals of a parallelogram bisect each other.
So, AC and BD bisect each other.
AE = ECBE = CE
The correct answer is BE ≅ DE.
Thus, the statement must be true about parallelogram ABCD is BE ≅ DE option (C) BE ≅ DE is correct because the diagonals of a parallelogram bisect each other.
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geometry and perimeter help plz :(
Answer:
11) 1.9ft
12) 8.7mi
13) 7ft
14) 6ft
15) 9mi
Answer:
11) ? = 7.6/4 = 1.9 ft.
12) ? = 52.2/6 = 8.7 mi.
13) ? = 21/7 = 3 ft.
14) ? = 57/9.5 = 6 ft.
15) ? = 63/7 = 9 mi.
Find the other endpoint of the line segment with the given endpoint and midpoint.
Find the distance between the two x values: -10 to -7 is 3 units, so add to the midpoint: -7 + 3 = -4
The x value is -4
Now do the same for y:
7 to -3 is 10 units
Because the midpoint is less than the end point subtract:
Y = -3 -10 = -13
Y = -13
The endpoint would be (-4, -13)
The segments shown below could form a triangle.
Answer:
A. True
Step-by-step explanation:
The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.
a + b
9 + 1 = 10>9
a + c
9 + 9 = 18>1
c + b
9 + 1 = 10>9
True, the segments shown below could form a triangle. Option A is correct.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
According to the Triangle Inequality theorem, any two sides' total must be bigger than the third side. Verify one by one;
⇒a + b>c
⇒9 + 1 >9
⇒10>9
a + c>b
9 + 9 >1
18>1
c + b>a
9 + 1 >9
10>9
True, the segments shown below could form a triangle.
Hence, option A is correct.
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Please. Answer Giving Brainliest!! (05.07) The net of a pyramid is shown below: The net of a square based pyramid, with base edges labeled 5 inches and the height of the triangle labeled 10 inches. The surface area of the solid is ____ square inches.
Answer: Area= square
A=5×5= 25
A=triangle 1 & 3
5×10= 50÷2= 25 25+25=50
A=triangle 2&4
10×5=50÷2=25×2=50
Area of 1-4= 25+50+50= 125
A= 125
I hope u get what ur looking for and I wish u give me brainlist But I know u won't cuz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much
What is the square root of -1?
N
-
1
Answer:
there is no square root for -1
because it is there only for natural numbers
not sure because i just learned but ik that there isn't any square root for -1
Homework: 7.1 hw
Score: 0 of 1 pt
6 of 9 (5 complete)
7.1.26
Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 5%. If no rioney is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 17 years?
c. How many years will it take for the account to contain $2,500?
d. How many years will it take for the account to contain $3,000?
a. After 4 years, the amount in the account will be $
(Do not round until the final answer. Then round to the nearest cent as needed.)
Answer:
a. $ 2,431.01 = 4 years
b. $ 4,584.04 = 17 years
c. 4.57 years = $ 2,499.57
d. 8.3 year = $ 2,998.48
e. $ 2,431.01 = 4 years
Step-by-step explanation:
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
The front elevation, side elevation and plan of a solid are all the same, as shown. (It is shown on the picture provided). Write down the name of the solid
Answer:
Cube
Step-by-step explanation:
The front elevation, side elevation and plan of a cube are all square
Answer:
The name of the solid is cube.
Step-by-step explanation:
What is cube?
A cube is a three-dimensional solid figure, having 6 square faces. It is a geometrical shape with 6 equal faces, 8 vertices, and 12 equal edges.
What is elevation?
The view from the top is called the plan. The view from the front and sides are called the elevations (front elevation and side elevation).
The front elevation, side elevation and plan of a solid are all same shows a cube.
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40 points to whoever can answer for me!
Answer:
x≤-3 2 ≤x<7
Step-by-step explanation:
(x^2+x-6) /(x-7) ≤0
Factor the numerator
(x+3)(x-2) / (x-7)≤0
Critical points are
X =-3 X =2 X=7
We need to check the values when
x≤3 -3 ≤ x≤2 2 ≤x<7 x>7
(x cannot be 7 because then the denominator is zero)
and see when it is less than 0
Substitute a value in and see if factor is positive or negative
x≤-3
(negative)(negative) / (negative) = negative
-3 ≤x≤2
(positive)(negative) / (negative) = positive this range does not work
2 ≤x<7
(positive)(positive) / (negative) = negative
x>7
(positive)(positive) / (positive)
Answer:
The second option is the correct answer.
Thank you.
I've answered as fast as I can to answer your question.Hope you understood it.
Pls mark my answer as brainliest and follow me.
Suppose for every dollar change in household wealth, consumption expenditures change by $0.05. If real household wealth declines by $45 billion, potential GDP is $120 billion, and the multiplier effect for the second year after an expenditure shock is 1.1, what is the total change in output relative to the potential for the second year?
Which expression is a perfect cube?
12x12y18
O 12x27,125
O 64x15y18
64x27
27,125
Answer:
D: 64 x^27 y^125
Step-by-step explanation:
You can use either a calc or your knowledge of cube roots. I will be using knowledge.
You can automatically rule out a and b as if you take the cube root of 12, no whole number comes out. You are left with c and d. Option D is correct because the cube root of 64 is a whole number (4), the cube root of 27 is a whole number (3), and the cube root of 125 is also a whole number(5).
HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ME
Answer:
4, 12, 16 (respectively)
Step-by-step explanation:
if you need one just comment and ill add one
[tex]answer = \\ red = 4 \\ blue = 12 \\ green = 16 \\ solution \: \\ let \: the \: ratios \: be \: x \: 3x \: 4x \\ x \ + 3x + 4x = 32 \\ or \: 8x = 32 \\ or \: x = \frac{32}{8} \\ x = 4 \\ replacing \: value \\ 3x \\ = 3 \times 4 \\ = 12 \\ 4x \\ = 4 \times \: 4 \\ = 16 \\ hope \: it \: helps...[/tex]
Look at the diagram.
Which angle is supplementary to
can u maybe write the full question?
What is 146 to the nearest square foot
Answer:
1.0138
Step-by-step explanation:
This conversion of 146 square inches to square feet has been calculated by multiplying 146 square inches by 0.0069 and the result is 1.0138 square feet.
4) Members of the school band are buying bouquets of flowers to sell at the fundraiser.
They plan on buying 120 bouquets of flowers. The ratio of the number of bouquets of roses to the number of bouquets of sunflowers will be 5/3. How many bouquets of flowers did they buy?
Bouquet of Roses?
Bouquet of Sunflowers?
Answer: Roses= 75, Sunflowers= 45
Step-by-step explanation:
Add the ratios- 5 + 3 = 8
Divide the total by the sum = 120 ÷ 8 = 15
Multiply the ratios- 5 x 15 = 75 and 5 x 3 = 45
∴ 5:3 = 75 , 45
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 26
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.1 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
Answer:
c ≅ 35.4 cm.
Step-by-step explanation:
To find the length of the Hypotenuse of a triangle, the formula a² + b² = c² will need to be used. Therefore:
26² + 24² = c² (c is the hypotenuse)
1252 = c²
√1252 = c
c ≈35.38
Round to tenths place:
c ≅ 35.4 cm. This is the Hypotenuse of the triangle.
Seth has just decided to replace his computer. His old computer cost him $1,433 when he bought it exactly seven years ago. Seth paid for it with his credit card, which has an APR of 11.70%, compounded monthly. He made no other purchases with the card and paid off his balance after two and a half years of making identical monthly payments. The computer consumed about $0.79 of electricity every day. In total, what percentage of the lifetime cost of the computer did the electricity make up? (Assume that two out of the seven years were leap years, and round all dollar values to the nearest cent.)
a.
82.157%
b.
58.500%
c.
21.718%
d.
54.898%
Please select the best answer from the choices provided.
A
B
C
D
Answer:
The answer is D
Step-by-step explanation:
The solution would be like this for this specific problem:
Cost of the computer:
i = 0.117 / 12
i = 0.00975
= monthly payment
= (i * P * (1 + i)^n) / ((1 + i)^n - 1)
= (0.00975 * $1433 * (1 + 0.00975)^30) / ((1 + 0.00975)^30 - 1)
= $55.32
Electricity cost:
= $0.79 * 365.25 * 7
= $2019.83
Electricity Percentage:
= $2019.83 / ($2019.83 + $1659.60)
= 54.89%
Electricity:
= ($0.79 * 365 * 5) + ($0.79 * 366 * 2)
= $2020.03
Electricity Percentage:
= $2020.03 / ($2020.03 + $1659.60)
= 54.898%
In total, the electricity made up 54.898% of the lifetime cost of the computer.
Please help with this question
Answer:
for x=i
Step-by-step explanation:
For
1+x²=0 => x²= -1 => x=√-1 => x= i
the given equation is not true
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 60% antifreeze? Simply your answer
Answer:
0.67 gallon of water
Drag the expressions to show the order of their quotients from least to greatest
Answer:
A,D,BC
Step-by-step explanation:
A painter is painting a rectangular wall that measures 22.8 ft by 17.3 ft. Each gallon can of paint covers 100 square feet. What are the fewest gallons needed to paint the wall?
____gallons
Answer:
1.548 gallons
Step-by-step explanation:
Length of the rectangular wall = 25.1 ft.
Width of the rectangular wall = 18.5 ft.
Area of the rectangular wall = length * width = 25.1 * 18.5
= 464.35 square feet
300 square feet wall can be painted using 1 gallon of paint.
=> 1 square feet wall can be painted using gallon of paint.
=> 464.35 square feet wall can be painted using gallon of paint.
= 1.548 gallons of paint
Answer:
4 gallons
Step-by-step explanation:
The first thing you want to do is times 22.8 * 17.3 = 394.44. Then what you want to do is see how much 100 square gallons can cover the area : 4. If we make it 3 it is going under if it is 4 it can cover the whole thing, and if we make it 5 we have a little much.
f(n)=64+6n
complete the recursive formula of f(n).
f(1)=?
f(n)=f(n-1)+?
Answer:
f(n) = f(n - 1) + 6
Step-by-step explanation:
Which expressions are equivalent to -3(2w+6)-4
Answer:
B
Step-by-step explanation:
Am equivalent expression would be 2(-3w+(-11))= -6w-22
Sorry for my first answer
Mark wishing brainliest
Answer:
B. 2(-3w+(-11))
Step-by-step explanation:
-3(2w+6)-4=
-6w-18-4=
-6w-22=
2(-3w+(-11))
really need help yall life's depend on it plz help!!!!!!! How many numbers are 10 units from 0 on the number line?
Answer:
Step-by-step explanation:
2 numbers : 10 and -10