Answer:
Using the quadratic formula:
x = [-4 +- sqr root (16 - 4 * 1 * -1)] / 2 *1
x = [-4 +- sqr root (20)] / 2
x1 = [-4 + sqr root (20)] / 2
x2 = [-4 - sqr root (20)] / 2
x1 = 0.23607
x2 = -4.2361
Step-by-step explanation:
Answer:
x = - 2 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
g(x) = x² + 4x - 1
To solve for x let g(x) = 0, that is
x² + 4x - 1 = 0 ( add 1 to both sides )
x² + 4x = 1
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 1 + 4
(x + 2)² = 5 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{5}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{5}[/tex]
Thus solutions in exact form are
x = - 2 - [tex]\sqrt{5}[/tex] , x = - 2 + [tex]\sqrt{5}[/tex]
what is the answer for -6 - d= -2d
Answer:
d = 6
Step-by-step explanation:
[tex]-6-d=-2d\\\\-6+6-d=-2d+6\\\\-d=-2d+6\\\\-d+2d=-2d+2d+6\\\\\boxed{d=6}[/tex]
Hope this helps.
One week, Morgan earned $283.90 at her job when she worked for 17 hours. If she is
paid the same hourly wage, how much would she make the next week if she worked
20 hours?
The table below shows the price, in dollars, for the number of Rose's indicated.
Answer:
1. The relationship is proportional.
2. The cost for 30 roses is 90 dollars.
Step-by-step explanation:
1. The price (y) divided by the number of roses (x) equals 3, no matter what section in the table you try it on; y/x = 3. This means that the relationship is proportional.
Another way to explain this is x * 3 = y. For example, 3 roses * $3 = $9
2. We know that one rose costs $3. So you can multiply:
30 roses * $3 = $90
HAS TO BE DONE BY TOMORROW - A positive integer is called snakelike if its digits alternately increase and decrease or vice versa. For example, 130 and 91727 are snakelike. However 123 is not snakelike (2 is greater than 1 but not 3) and 91727 is not snakelike (7 is greater than 1 but not 7)
A) How many 4-digit snakelike numbers contain each of the digit 1,2,3,4 exactly once
B) How many 3-Digit snakelike numbers have 6 as their middle digit
C) a 7-digit snakelike number starts with digit 9. Explain why it last digit cannot be 0
Answer:
A) 10
B) 39
C) the last digit must be greater than the previous digit. 0 is not greater than any other digit, so the last digit cannot be 0.
Step-by-step explanation:
A) Numbers of the form low, high, ... can start with digits 1 or 2, and the 3rd digit will be the other one. There 4 such numbers 1423, 1324, 2413, 2314. In addition, For a first digit of 2, the second digit may be 1, allowing 2143. Thus, there are 5 numbers starting with 1 or 2 and ending with 3 or 4.
There are 5 additional numbers that are the reverse of these.
There are 10 4-digit snake-like numbers containing 1–4 exactly once.
__
B) We assume a "3-digit number" will be in the range 100–999. That is, the leading digit will not be zero. If you allow a leading 0, the answer is different.
With 6 as a middle digit, the numbers 1–5 can be the first digit and the numbers 0–5 can be the last digit. Hence there are 5·6 = 30 numbers of the form low-6-low.
If the form is high-6-high, there are 3 possible first digits and 3 possible last digits, so 3·3 = 9 numbers of the form high-6-high.
There are 39 3-digit snake-like numbers with 6 as the middle digit.
__
C) A 7-digit snake-like number will alternate high-low, with high being the last digit. Hence the last digit must be higher than the previous digit, so cannot be 0.
A fairly recent alternative to algebraic modeling is spreadsheet modeling, which, instead of relating various quantities with algebraic equations and inequalities, relates them in a spreadsheet with cell formulas.a) trueb) false
Answer:
True
Step-by-step explanation:
With the advent and proliferation of the use of computers, data can now be analyzed with the aid of spreadsheets. These spreadsheets such as the one found in Microsoft Excel are arranged in grids whereby, the rows are numbered and the columns are identified with alphabets. The data entered in the spreadsheet are guided by formulas which can be found on the formula tool bar.
The formula gives an insight into the calculation performed for the list of items provided in the grid. There are several mathematical functions that aid in the calculations, such as the SUM and DIV functions.
whats the distance between (-4, 6) and (3, -7)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{218} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( -4 , 6 ) be ( x₁ , y₁ ) and B ( 3 , -7 ) be ( x₂ , y₂ )
Finding the distance between these two points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^{2} + { (- 7 - 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^{2} + {( - 7 - 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {7}^{2} + {13}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{49 + 169} }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{218}}} [/tex] units
Hope I helped!
Best regards! :D
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A=lw+0.5bh. Solve for b
Answer:
b = (A - lw) / 0.5h
Step-by-step explanation:
The formula for area of the enclosed place is
A=lw+0.5bh
Where,
A= Area of the enclosed space
l= length of the rectangle
w= width of the rectangle
b= base of the triangle
h= height of the triangle
A=lw+0.5bh
Solve for b
A=lw+0.5bh
Subtract lw from both sides
A - lw = lw + 0.5bh - lw
A - lw = 0.5bh
Divide both sides by 0.5h
(A - lw) / 0.5h = (0.5bh) / 0.5h
(A - lw) / 0.5h = b
Therefore,
b = (A - lw) / 0.5h
Answer:
b= A-lw over 0.5h
Step-by-step explanation:
The slant height is 8 inches and the diameter is 8 inches, what
is the total surface area of the right cone?
Answer:
150.85inches
Step-by-step explanation:
TSA of cone= πr(r+l)
= 22/7×4(4+8)
= 150.85inches
If R is the midpoint of QS, QR = 8x – 51 and RS = 3x – 6, find QS.
Answer:
42 units
Step-by-step explanation:
If R is the midpoint of QS, then by definition, QR = RS. Since QR = 8x - 51 and RS = 3x - 6, set these equal to solve for x:
QR = RS
8x - 51 = 3x - 6
5x = 45
x = 9
Now that we know x = 9, we can plug this back into one of the expressions for QR or RS to find its length:
QR = 8x - 51 = 8 * 9 - 51 = 72 - 51 = 21
Since half of QS is 21, then the whole of QS is twice that:
2 * 21 = 42
The answer is thus 42 units.
~ an aesthetics lover
I DON'T NEED HELP ANY MORE THX FOR ALL THE NON EXISTENT ANSWERS REALLY APPRECIATE IT
yeah no problem wish I cudve helped u
(3.8 × 10−6)(2.37 × 10−3)
Answer: I think it's 662.4
Please correct me if I'm wrong.
a 12 foot flagpole is 18 feet away from the school a student stands 6 feet away from the building . what is the height of the student?
Maria is trying to meet her friends at the pool but construction is blocking her path from the parking lot directly to the pool. Because of this, she has to walk 20 ft north, 35 ft east, and then 20 ft south to get to the pool. Find her distance and displacement
Answer:
The distance Maria walked is 75 ft.
Total displacement from her starting point is 35 ft east.
Step-by-step explanation:
Consider the sketch below.
The distance travelled can be obtained by adding all the distances walked in different directions.
This is 20ft +35 ft +20ft = 75ft
The distance Maria walked is 75 ft.
The displacement of an object refers to the distance travelled in a specified direction.
We noticed that maria moved 20ft north, then 35 ft east, only to come back 20 ft south again.
This means her total displacement from her starting point is 35 ft east. this is because her north and south movements cancelled out each other.
please help with algebra2. Solving for A
Answer:
Step-by-step explanation:
2(1/2 A + N = d)
A + 2N = 2d
A = 2d - 2N
Answer:
A = 2(d - N)
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] A + N = d ( subtract N from both sides )
[tex]\frac{1}{2}[/tex] A = d - N ( multiply both sides by 2 to clear the fraction )
A = 2(d - N)
how to write 0.75 repeating (75) as a fraction in simplest form?
Answer:
75/99
Step-by-step explanation:
Do you mean
0.757575... = 0.75 = ?
If so, consider this:
x = 0.757575...
100x = 75.757575...
100x - x = 75
99x = 75
x = 75/99
What is the answer? Plz help not good at math.
Answer:
37
Step-by-step explanation:
Answer:
83.92 - 47.23 = 36.69 to round to the nearest whole it would be 37
Step-by-step explanation:
83.92
- 47.23
= 36.69 and if its five or more you round up so its 37
A point represents a location but has no area.
Answer:
true
Step-by-step explanation:
What is the value of y?
V
y =
Find the following angle measures.
mZJKM =
o
o
mZMKL =
V
Answer:
y=10
m<JKM=106
m<MKL=74
Step-by-step explanation:
Question 10
Is it possible to construct any type of triangle with the given lengths?
9, 12, 19
no
yes
Answer:
yes
Step-by-step explanation:
When forming a triangle, the sum of 2 of the sides must be greater than the third. In this case 12+9=21 which is greater than the third side (21>19)
somebody please HELP I NEED TO PASS THIS
A pyramid with a rectangular base has a volume of 105 cubic centimeters and a height of 15 centimeters. The length of the rectangular base is 7 centimeters. Find the width of the rectangular base.
Answer:
Hey there!
V=lwh/3
315=lwh
315=15(7)w
315=105w
width=3
Hope this helps :)
The width of the rectangular base of the pyramid is W = 3 centimeters
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
Let the volume of the pyramid be represented as V
Now , the value of V is
V = 105 cm³
And , the length of the pyramid L = 7 cm
The height of the pyramid is H = 15 cm
Let the width of the pyramid be W
And , Volume of Pyramid = ( 1/3 ) ( L x W x H )
105 = ( 1/3 ) ( W x 15 x 7 )
On simplifying , we get
105 ( W ) ( 1/3 ) = 105
Divide by 105 on both sides , we get
W / 3 = 1
Multiply by 3 on both sides , we get
W = 3 cm
Therefore , the value of W is 3 cm
Hence , the width of pyramid is 3 cm
To learn more about volume of pyramid click :
https://brainly.com/question/17615619
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4-Fui al supermercado y había un descuento del 15% en el total de la compra, si pagaba en efectivo. Gasté $ 2.400. ¿Qué cantidad aboné en realidad?
Answer:
$2.040
Step-by-step explanation:
Para calcular la cantidad que fue abonada en realidad, debes encontrar el valor del descuento calculando el 15% del valor total de la compra y este resultado se debe restar del total:
$2.400*15%= $360
$2.400-$360= $2.040
De acuerdo a esto, la cantidad abonada en realidad es: $2.040.
Elena drank 3 liters of water yesterday. Java drank 3/4 time as much water as Elena. Line drank twice as much as much water as jada. Did Line drank more or less water than Elena
What is the value for X??? WILL GIVE BRAINLIEST!!!
Answer:
x = 1.5
Step-by-step explanation:
First, we distribute (get rid of parentheses):
6x - 3 - 3x = 5 - x - 2
Then, we simplify:
3x - 3 = 3 - x
Then, we combine like terms:
3x + x = 3 + 3
Then, we simplify again:
4x + 6
Finally, we divide 4 on both sides:
We got x = 1.5
Hope this helps!
Answer:
X = 1.5
duhhhhhhhhhhhhh
a pole that is 3.3 m tall casts a shadow that is 1.18 m long at the same time a nearby tower casts a shadow that is 44.75 m long how tall is the tower? round your answer to the nearest meter
Answer:
1.58 *h=50.5 * 2.9
1.58 *h = 146.45
divide by 1.58
h=92.68987= 92.69
Step-by-step explanation:
A crowbar of 2m is used to lift an object of 800N. If the effort is 160m, calculate the effort applied.
Plz give full process answer. I want it soon.
Answer:
It's of science not of mathematics
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 \: N}}}}}[/tex]
Step-by-step explanation:
Given,
Load distance ( LD ) = 2m
Load ( L ) = 800 N
Effort distance ( ED ) = 160 m
Effort ( E ) = ?
Finding the Effort applied
Apply the principal of simple machine :
[tex] \boxed{ \sf{L \times LD = E\times ED}}[/tex]
[tex] \longrightarrow{ \sf{800 \times 2 = E \times 160}}[/tex]
[tex] \longrightarrow{ \sf{1600 = 160 \: E}}[/tex]
[tex] \longrightarrow{ \sf{160E = 1600}}[/tex]
[tex] \longrightarrow{ \sf{ \frac{160E}{160} = \frac{1600}{160} }}[/tex]
[tex] \longrightarrow{ \sf{E = 10 \: \: newton}}[/tex]
Effort applied = 10 N
Hope I helped!
Best regards! :D
Max lost 24 pounds in 8 weeks on his new weight-loss plan. What was his average change in weight per week?
Answer:
2
Step-by-step explanation:
Answer: 3 lbs per week were lost
Step-by-step explanation:
1. AB = 11 and BC = 5. Find AC 2. AC = 16, BC = x + 4, AB = x + 14. Find x
(10 + 3) - (20 ÷ 10) 2 )
I believe the answer is 9.
What is the standard form of (-1, 1) and (1, 4) ?
Answer:
The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number). On a calculator, you usually enter a number in standard form as follows: Type in the first number (the one between 1 and 10).
Step-by-step explanation: