Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
f(x) = x² + 7x + 10
The quadratic equation is x² + 7x + 10.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the zeroes of Quadratic Equation as -2 and -5.
So, the factors of the equation is (x +2 ) and (x + 5).
Then, the Quadratic equation is
= (x+5)(x+2)
= x² + 5x +2x + 10
= x² + 7x + 10
Thus, the quadratic equation is x² + 7x + 10.
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Ayushi wanted to paint a wall of a room of dimensions 6 m × 5 m. It has a window of dimensions 2 m × 0.5 m and a door of dimensions 3 m × 1.5 m. What area of the wall is required to be painted by Ayushi?
Can you guys plz answer this???
Answer:
Required wall to be painted: 24.5 m²Step-by-step explanation:
Wall dimensions: 6 m x 5 m
=> Wall dimensions: 30 m²
Area of window: 0.5 x 2
=> Area of window: 1 m²
Area of door: 3 m × 1.5 m
=> 4.5 m²
Required wall to be painted: 30 - 1 - 4.5
=> Required wall to be painted: 24.5 m²
Therefore, the required paint for the wall to be fully painted is 24.5 m². Hoped this helped.
x- (2x + 1) = 8- (3x + 3)
Answer:
x = 3
Step-by-step explanation:
x- (2x + 1) = 8- (3x + 3)
x - 2x - 1 = 8 - 3x - 3
x - 2x + 3x = 8 - 3 + 1
2x = 6
x = 6/2 = 3
Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D.
Answer:
D. Convergence hope it helps
On a certain hot summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that day?
Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 multiply by -1.75 -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 does not change 2.25a + 1.75c = 635.50
Add these equations together
-1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50
.50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50
jerry has 3,572 live chickens in his poultry farm.if there are 38 boxes , how many chickens must go in each box?
Answer: 94 live chickens go in each box.
Step-by-step explanation: 3,572 divided by 38 = 94 so 94 live chickens go in each box.
hope this helps :)
Place numbers in bubbles so each row adds up to 100.
16,18,20,22,24,26,28,28,32,36
The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).
The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.
Hint:
Every row will have 4 numbers, 1 in each bubble which will give us 100.
The first row would be: 26 + 18 + 28 + 28 = 100The second row would be: 36 + 18 + 22 + 24 = 100The rest of the arrangement is shown in the figure 2 attached below. (See attachment).
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The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter
Answer:
46 1/2 feet
Step-by-step explanation:
Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.
The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The length of the fence is [tex]12\frac{1}{2}[/tex] feet
[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2
the width of the fence is [tex]10\frac{3}{4}[/tex]
[tex]10\frac{3}{4}[/tex] is changed to improper fraction 43/4
Now we know that perimeter of rectangle =2(Length+width)
=2(25/2+43/4)
LCM of 2 and 4 is 4
=2(50+43)/4
=93/2
=46.5
Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.
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PLS HELP ME 20 points total
Answer:
b and f
Step-by-step explanation:
maths
Answer:
A) The point (1, 0.60) means that one pound of potatoes cost $0.60.
F) The point (40, 24) means that 40 pounds of potatoes cost $24.00.
Step-by-step explanation:
The given graph shows the linear relationship between the total cost and the number of pounds of potatoes.
In order to determine the total cost of potatoes per pound, use the following points on the graph:
Let (x₁, y₁) = (20, 12)
(x₂, y₂) = (25, 15)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (15 - 12) / (25, 20)
m = 3/5
Therefore, the slope of the line is 3/5 or 0.60. This means that the total cost increases by $0.60 for every pound of potatoes.
Option A: Since we determined that the slope represents the change in total cost increases by $0.60 for every pound of potatoes. Multiplying the number of pounds by the cost per pound, $0.60, will give you the total cost of the potatoes. Thus, 1 pound of potatoes × $0.60 per pound = $0.60.
This matches the points described in Option A, thereby making it as one of the valid answers.
Option B) is incorrect because the total cost of 12 pounds of potatoes is $7.20. The given option states that $7.20 is the cost per pound of potatoes, which is false. The cost per pound of potatoes is $0.60.
Option C) Similar to Option B, 12 pounds of potatoes doesn't cost $20 per pound.
Option D) The descriptions of the coordinates, (25, 15) were mixed up: it should have been "25 pounds of potatoes cost $15." Hence, Option D is incorrect.
Option E) Similar to Option D, the descriptions of the coordinates, (30, 18) were mixed up: it should have been "30 pounds of potatoes cost $18." Hence, Option D is incorrect.
Option F) The point, (40, 24) appropriately represents the total cost of $24 for the 40 pounds of potatoes. Therefore, Option F is correct.
In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?
Answer:
Here plz give brainliest not easy to explain in detail like this
Step-by-step explanation:
We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph: (4, 4290) and (8, 3850)
Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:
m = (y2 - y1)/(x2 - x1) Slope formula
m = (3850 - 4290)/(8 - 4) Substitution
m = -440/4 Solve the subtraction problems in the parenthesis
m = -110 Reduce the fraction
Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line. I will use the first point, but either point will produce the same answer.
y - y1 = m(x - x1) Point-slop e formula
y - 4290 = -110(x - 4) Substitution
y - 4290 = -110x + 440 Distribute the -110
y - 4290 + 4290 = -110x + 440 + 4290 Add 4290 to each side
y = -110x + 4730 Simplify
Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we need to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
Ginger exercised for 5 1/2 hours in 6 days.
Each day she stretched for 1/4 hour and then walked. How long did she walk each day?
Answer:
45 minutes
Step-by-step explanation:
Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk
[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]
Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.
[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]
Done.
Consider the graph shown below.
What are the coordinates of point C after a dilation with a scale factor of 5,centered at the origin
Answer:
10,5
Step-by-step explanation:
After a dilation of 5, it should become 10 and 5 because it was 2,1 before.
y=6x-4 y=4x+2 substitution pls help plsplslsl
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: ( 3 , 14 )
Equation Form: x = 3 , y = 14
Step-by-step explanation:
To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.
Answer: x = 200 km
Step-by-step explanation:
Distance(x) = Speed(s) x Time(t)
t is in hours
x=s*t
At 75km/h: 75*t = x
At 80km/h: 80*(t-(10/60)) = x [the -(10/60) is the 10 minutes saved, in hours]
We know the distance, x, is the same, so we can set these equal to each other:
75*t = 80*(t- (10/60))
75*t = 80*t - 13.3333
-5*t = -13.3333
t = 2 2/3 hours
Both situations should give the same distance with 2 2/3 and 2 2/3 - :
x = (75 km/hr) x ( 2 2/3 hr)= 200 km
x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km
A small business reported a net loss of $45 in January and a gain of $55 in February. What is the company's net profit?
If a local tax rate is 4% and you are taxed on your $6000 purchase,
1)what is the tax?
2)What will final bill be?
Answer: Tax(240), Total cost(6240)
Step-by-step explanation:
6000 x .04 =240
240 +6000 = 6240
[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly
is 3/4 greater than 1? i need help please
Answer:
No.
Step-by-step explanation:
3/4 = 0.75.
=> 0.75 < 1
Hoped this helped.
(7.9×108)–(7.53×108)
put in scientfic notation
Answer:
3.996x10
Step-by-step explanation:
7.9x108 = 853.2
7.53×108 = 813.24
853.2-813.24=39.96
not sure how many sig figs there are supposed to be though
3.996x10 has 4 sig figs
Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0,].
The numerical value of the mean voltage in the circuit is
The numerical value of the mean voltage is 25.47 V
To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]
So,
[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]
V ≅ 25.47 V
So, the numerical value of the mean voltage is 25.47 V
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plz help I need answer asap!
Answer:
x=2.4
Step-by-step explanation:
for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4
Answer:
x=2.4
Step-by-step explanation:
This is simple! If you know how to find scale factor then then problem is a breeze.
Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3
Now to find that missing side= x
4 / 1.66666666667= 2.4
x=2.4
( pssstt! This “/“ means division ;-)
hope this helped :D
1) 6p + 12 - 2 = 8p + 4
6p + 12 - 2 = 8p + 4
6p + 10 = 8p + 4
6p - 8p = 4 - 10
-2p = -6
2p = 6
p = 3
Answer:
p = 3
Step-by-step explanation:
First, simplify. Combine like terms. Like terms are terms with the same variable as well as same amount of said variable:
6p + (12 - 2) = 8p + 4
6p + (10) = 8p + 4
Isolate the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Addition
Subtraction
First, subtract 8p and 10 from both sides of the equation:
6p (-8p) + 10 (-10) = 8p (-8p) + 4 (-10)
6p - 8p = 4 - 10
-2p = -6
Next, isolate the variable, p, by dividing -2 from both sides of the equations:
(-2p)/-2 = (-6)/-2
p = -6/-2
p = 3
3 is your answer.
~
Please solve for x. Possible answers are A. 3 B. 10 C. 28
Answer:
x=28
Step-by-step explanation:
So first slove for the right angle triangle
a²+b²=c²
a=12 and c=15
12²+b²=15²
144+b²=225
b²=225-144
b²=81
b=√81
b=9
so now that you know the top two sides add 10 due to the lenght given on the bottom
9+10+9=28
help please i only have 10 mins left
Answer:
d.
took the test
Step-by-step explanation:
If f(1) = 5 and f(n) = 4f(n − 1) - 2 then find the value of f(5).
Hi,
This is the same situation as a sequence case.
You have two informations :
[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]
You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.
We already have f(n) for n = 1 : it is f(1) = 5.
n = 2 :
f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5
n=3 :
f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70
n = 4 :
f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278
n = 5 :
f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110
so f(5) = 1110
Good Luck
Two tins are geometrically similar, if the ratio of there volume is 27:64, find the ratio of the curved surface areas
Answer:
9:16.
Step-by-step explanation
The scale factor is ∛27:∛64
= 3:4.
So the ratio of the curved areas = 3^2:4^2
= 9:16.
19+1=x
what does x equal?
(hint: it's math and common sense)
Answer:
X equals 20
Step-by-step explanation:
19+1=x rearranged is X-19=1 and 20 minus 19 is 1 therefore 20 is the value of X.
Answer:
x = 20
Step-by-step explanation:
19 + 1 = 20
Please help me with this question.
Answer:
The answer would be 6.66666666667 to be exact or just 6.66.
-Herobrine
Brainliest will be appreciated thank you!
Answer:
6.6 or 6.66
Step-by-step explanation:
PLZ HELP ASAP! I GIVE BRAINLIEST AND POINTS!
please dont post links
Find the value of the monomial.
5x^3 for x = 0.5
Answer:
⁵/₈
Step-by-step explanation:
x = 0.5
5x³ = 5(¹/₂)³
5x³ = 5(¹/₈)
5x³ = ⁵/₈
Please help asap!! Thanks:) and please don’t answer just for points
Answer:
68 ft^2
Step-by-step explanation:
Find the area of the large rectangle as if the piece were there
A = l*w
A = 6 * 14
A =84
Subtract the area of the square that is missing
A = 4*4 = 16
84 - 16 =68
The area of the figure is 68 ft^2
What is the answer of this question please reply!
0.00536 by 25
Answer:
0.134
Step-by-step explanation:
"By" means multiplied by, so the question is, what's 0.00536 multiplied by 25?
In the first step, we multiply all the numbers in the decimal by 5, and we get 0.02680. In the second, we multiply all the numbers in the decimal by 20, and we get 0.10720. Then we add the two together and get 0.134.
I hope that helped :)