Answer:
D. (2x - 5)(2x - 5)
Step-by-step explanation:
4 is a perfect square, with its two identical factors being 2. The number 25 is also a perfect square, with its two identical factors being 5. This leaves us with the answer choices:
C. (2x + 5)(2x + 5)
OR
D. (2x - 5)(2x - 5)
However, when you solve answer "C," the result is:
[tex]4x^2+20x +25[/tex]
But we need the middle term to be -20x, so answer "D," is correct since it has -5 instead of positive 5.
how do u solve 3(1 - 3g) = -8g + 14 ?
Answer:
3 - 9g = -8g + 4
-9g + 8g = 4 -3
g = -1
What are the zeros of the quadratic function represented by this graph?
Answer:
Step-by-step explanation:
answer : C when this graph passes trough x-axis
The zeros of the quadratic function are -3 and 1 represented by this graph.
What is a quadratic function?A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The zeros of the quadratic function can be determined as the intersection of lines or functions on the x-axis only.
The zeros of the quadratic function are -3 and 1.
Learn more about quadratic function ;
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An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?
Answer:
its A
Step-by-step explanation:
ED 2020
Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?
Answer:
$13.50
Step-by-step explanation:
$54 divided by 4 is $13.50.
What is the factor of k2 + k - 42
Answer:
(k + 7) • (k - 6)
Step-by-step explanation:
Final result :
(k + 7) • (k - 6)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "k2" was replaced by "k^2".
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring k2+k-42
The first term is, k2 its coefficient is 1 .
The middle term is, +k its coefficient is 1 .
The last term, "the constant", is -42
Step-1 : Multiply the coefficient of the first term by the constant 1 • -42 = -42
Step-2 : Find two factors of -42 whose sum equals the coefficient of the middle term, which is 1 .
-42 + 1 = -41
-21 + 2 = -19
-14 + 3 = -11
-7 + 6 = -1
-6 + 7 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 7
k2 - 6k + 7k - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
k • (k-6)
Add up the last 2 terms, pulling out common factors :
7 • (k-6)
Step-5 : Add up the four terms of step 4 :
(k+7) • (k-6)
Which is the desired factorization
Final result :
(k + 7) • (k - 6)
The number of ducks and pigs in the field is 43. The total of legs among them is 118. Assuming each duck has exactly two legs and each pig has exactly four leg, determine how many pigs and how many ducks are in the field
Answer:
16 pigs and 27 ducks
Step-by-step explanation:
Let the number of pig be x
And let the number of ducks be y
X+y = 43.... equation 1
each duck has exactly two legs and each pig has exactly four leg.
Total leg is 118
4x + 2y = 118 ..... equation 2
X+y = 43
4x + 2y = 118
4(X+y = 43)
4x +4y = 172
4x + 2y = 118 - 4x +4y = 172
-2y = -54
Y = 27
If y = 27
X+y = 43
X = 43-27
X= 16
What’s the correct answer for this?
Answer:
The first option. ∠2 and ∠4 are vertical angles.
Step-by-step explanation:
The fact that ∠2 is vertical with ∠4, proves the angles must be congruent. Vertical angles are always congruent, while adjacent angles are supplementary.
Answer:
C
Step-by-step explanation:
Angle 1 is supplementary to both 2 and 4. It's correct
The table shows the number of cups of water required when cooking different amounts of rice.
Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.
The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation
Answer:
The amount of water is the dependent value.The amount of rice is the independent value.Step-by-step explanation:
The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.
That makes "water" the dependent variable, and "rice" the independent variable.
The amount of water is the dependent value.
The amount of rice is the independent value.
Answer:
The amount of water is the dependent value.
The amount of rice is the independent value.
Step-by-step explanation:
The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.
Year Seattle Port Townsend
1970 $38,000 $8,400
1990 $175,000 $168,400
Find a linear model relating the year x and the sales price y for a single family property in Seattle.
Answer:
[tex]y=6,850x - 13,456,500[/tex]
Step-by-step explanation:
To find the linear model, we need to find a linear equation, where its slope is defined as
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
So, we use the given points (1970, 38000) and (1990, 175000), to find the slope
[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]
Now, we use the point-slope formula to find the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]
Therefore, the linear model is
[tex]y=6,850x - 13,456,500[/tex]
-3b+7=13 solve for b
Answer:
b = -2
Step-by-step explanation:
Start with your given:
-3b + 7 = 13
Subtract 7 on both sides:
-3b = 6
Then, divide -3 on both sides and solve:
b = -2
Answer:
b = -2
Step-by-step explanation:
You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.
Hope this helps.
8.73E16 in standard form
Answer:
87,300,000,000,000,000
Step-by-step explanation:
The E16 is a way to write ×10¹⁶ that is used by some computers, spreadsheets, and calculators. As with any decimal number, the exponent of 10 tells you the number of decimal places between the place with that value and the decimal point.
8.73E16 = 8.73×10¹⁶ = 87.3×10¹⁵ = 87.3 × 1,000,000,000,000,000
= 87,300,000,000,000,000
_____
Some places, the "standard form" is 8.73×10¹⁶.
If AB = 10, what is the length of DE?
11
5
12
3
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Dungeon and Dragons (old popular boardgame) uses a twenty-sided number cube (die), what is the probability that you will roll an even or an odd prime number? The number 1 isn’t an odd prime. Round to three decimals.
Answer:
P(even or odd prime) = 0.85
There is 85% probability of rolling an even number or odd prime number.
Step-by-step explanation:
We are given a twenty-sided die which means it has faces from 1 to 20, so that means the total number of outcomes are 20.
We are asked to find the probability of rolling an even number or odd prime number.
We know that probability is given by
P = Number of desired outcomes/Total number of outcomes
Let us first count the number of desired outcomes.
In the range of 1 to 20 we have following even numbers,
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 (10 outcomes)
P(even) = 10/20
P(even) = 0.50
In the range of 1 to 20 we have following odd prime numbers,
3, 5, 7, 11, 13, 17, 19 (7 outcomes)
P(odd prime) = 7/20
P(odd prime) = 0.35
So the required probability is
P(even or odd prime) = 10/20 + 7/20
P(even or odd prime) = 0.50 + 0.35
P(even or odd prime) = 0.85
Therefore, there is 85% probability of rolling an even number or odd prime number.
Note: Since we are asked to find the probability of rolling an even number or odd prime number, that's why we have added the probabilities of these two events.
OR corresponds to addition of probabilities
AND corresponds to multiplication of probabilities
Venity it (6,-3) is a solution to the system of equations. Is the ordered pair a solution to the system?
Yes, because there are infinite solutions to the
system of equations.
No, because substituting these values into the first
y=-x+1
equation creates a false statement.
Yes, because substituting these values into both
equations forms two true statements.
No, because substituting these values into the
second equation forms a false statement.
Intro
Done
Answer: c
Step-by-step explanation:
i got it right
Answer:
C) Yes, because substituting these values into both equations forms two true statements.
Step-by-step explanation:
Ms. Robinson gave her class 12 minutes to read. Carrie read 5 ½ pages in that time. At what rate, in pages per hour, did Carrie read?
Answer:
27.5 pages read per hour
Step-by-step explanation:
Which of the following expressions has the greatest value?
3^3 2^5 1^10 5^2
Answer:
2^5
Step-by-step explanation:
2^5 = 32
3^3=27
1^10 =1
5^2 = 25
Answer:
2^5
Step-by-step explanation:
Look at the attachment
I need help solving this problem
Answer:
236
Step-by-step explanation:
express z = square root (4 + 3i) in the form p + qi , where p and q and are rational numbers.
Answer:
z = (3/√2) + (1/√2)î = (1/√2) [3 + i] = (2.1213 + 0.7071i)
OR
z = -(3/√2) + i(1/√2) = (1/√2) [-3 + i] = (-2.1213 + 0.7071i)
p = (3/√2) = 2.1213
q = (1/√2) = 0.7071
OR
p = (-3/√2) = -2.1213
q = (1/√2) = 0.7071
Step-by-step explanation:
z = √(4 + 3i)
Let the complex number z be equal to
z = p + qi
So, we can write
z = p + qi = √(4 + 3i)
p + qi = √(4 + 3i)
Square both sides
(p + qi)² = [√(4 + 3i)]²
p² + pqi + pqi + (qi)² = (4 + 3i)
p² + 2pqi + q²i² = 4 + 3i
note that i² = -1
p² + 2pqi - q² = 4 + 3i
(p² - q²) + 2pqi = 4 + 3i
Comparing both sides, and them equating the real parts on both sides to each other and the complex parts to each other
(p² - q²) = 4 (eqn 1)
2pq = 3 (eqn 2)
From eqn 2
p = (3/2q)
p² = (9/4q²)
Substituting this into eqn 1
(9/4q²) - q² = 4
multiplying through by 4q²
9 - 4q⁴ = 16q²
4q⁴ + 16q² - 9 = 0
let q² = x, q⁴ = x²
4x² + 16x - 9 = 0
Solving the quadratic equation
x = 0.5 or -4.5
q² = 4
q² = 0.5 or q² = -4.5
q = √0.5 or √-4.5
q = (1/√2) = (√2)/2 = 0.7071
Or q = i(3/√2) = i(3√2)/2 = 2.1213I
p = (3/2q)
If q = (1/√2) = (√2)/2 = 0.7071
p = (3/√2) = (3√2)/2 = 2.1213
if q = i(3/√2) = i(3√2)/2 = 2.1213I
p = i(1/√2) = i(√2)/2 = 0.7071i
z = p + qi
If q = (1/√2) = (√2)/2 = 0.7071
p = (3/√2) = (3√2)/2 = 2.1213
z = (3/√2) + (1/√2)î = (1/√2) [3 + i]
= 2.1213 + 0.7071i
if q = i(3/√2) = i(3√2)/2 = 2.1213I
p = i(1/√2) = i(√2)/2 = 0.7071i
z = i(1/√2) + [i(3/√2) × i]
z = i(1/√2) - (3/√2)
z = -(3/√2) + i(1/√2)
z = (1/√2) [-3 + i]
z = -2.1213 + 0.7071i
Hope this Helps!!!
Can anyone help please? With questions 4 please
Answer:
a. The area of the garden is 11.68 [tex]m^{2}[/tex]
b. $192 and then $177
Step-by-step explanation:
a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37
then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle
so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]
b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)
16*$12=$192, then 5($33)+$12=$177
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
Gina can write 3 pages per hour. Emily can write 5 pages per hour. If they both write for n number of hours, how many pages will they write altogether?
Answer:
3n+5n
Step-by-step explanation:
8 pages an hour
Answer:
8n hours.
Step-by-step explanation:
Working together they can write 3+5 = 8 pages per hour.
So the answer is 8 * n hours.
Answer the questions about the cone. V= 1/3 BH
What is the radius of a cone?
3,4,6,8 ft
What is the area of the base of the cone?
6,9,8,16 pi ft squared
What is the volume of the cone?
16,24,48,72 pi ft cubed
Answers the answer for question one is 3 , for question number two the answer is 9 and the answer for the last question is 24
Step-by-step explanation:
The radius of the cone is 3ft
The base area of the cone is 28.26ft²
The volume of the given cone is 75.36ft³
The formula for calculating the volume of a cone is expressed as:
[tex]V = \frac{1}{3} \pi r^2 h[/tex]
r is the base radius
h is the height of the cone
V is the volume of the cone
From the diagram, the base diameter is 6 ft
Base radius = 6/2 = 3ft
The area of the base of the cone is [tex]\pi r^2 h[/tex]
Base area = [tex]3.14 \times 3^2\ = 28.26ft^2[/tex]
Get the required volume of the cone
Volume = Base area/3
Volume = [tex]\frac{1}{3} \times 28.26 \times 8 = 75.36ft^3[/tex]
Hence the volume of the given cone is 75.36ft³
Learn more here: https://brainly.com/question/24288245
Kelly needs 1/8 cups of sugar to make 1/4 of her cookie recipe. How much sugar does she need to make the entire recipe?
Answer:
1/2 cup of sugar
Step-by-step explanation:
She needs to multiply 1/8 cup of sugar by 4 to make the entire recipe since 18 cup of sugar is only good for a fourth of the recipe.
$3.50 for 1/2 pound of cheese
Answer:
two pounds of cheese would be $7.00
Step-by-step explanation:
because if you add the price for half a pound plus itself you would get $7.00
Answer:
7.00 1 pound
Step-by-step explanation:
Determina el valor que debe tomar el parámetro m para que el polinomio P(x) = 5x3 − 2x2 + mx − 3 cumpla que P(2) = 3
Answer:
x
Step-by-step explanation:
Answer:
Step-by-step explanation:
Compute the sum of the first 8 terms in the sequence: 100, -50, 25, -12,5. Show work!
Answer:
100, -50, 25, -12.5, 6.25, -3.125, 1.5625, -0.78125Step-by-step explanation:
Each term is being multiplied by -0.5
How did I know?
Divide the second term by the first.
-50 divided by 100 = -1/2
Find the last four terms.
-12.5 x -1/2 = 6.25
6.25 x -1/2 = -3.125
-3.125 x -1/2 = 1.5625
1.5625 x -1/2 = -0.78125
Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)
Graph this function: f(x) = x2-4x - 5
Step 1: Identify a and b.
Answer: a= 1 b= -4 x = 2 f(2)= -9 the x intercepts are 5,0 and -1, 0 f(o) = -5
Step-by-step explanation:
Solve : 6(x-4) + 3(x+7)= 3
Answer:
X = 2
Step-by-step explanation:
6(x-4) + 3(x+7)= 3
Open parentheses
6x-24+3x+21=3
Simplify
3x-3=3
Add 3 onto both sides
3x=6
And...
X = 2you know I'm ballin usual like Kobe
Answer:
miss him :(
Step-by-step explanation:
Answer:
:( RIP
Step-by-step explanation:
