The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
x² + 7x - 18 = 0
Factorize the quadratic equation, then we have
x² + 7x - 18 = 0
x² + 9x - 2x - 18 = 0
x(x + 9) - 2(x - 9) = 0
(x + 9)(x - 2) = 0
x = 2, -9
The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.
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Cheryl is sailing on Lake Superior. A shipwreck lies below her and its location is represented by a negative amount. A helicopter is flying above her and its location is represented by a positive amount. The shipwreck is a greater distance from Cheryl than the helicopter. Which expression could represent a comparison of the possible absolute values of the shipwreck and helicopter?
A) |–125| < |45|
B) |–98.5| < |23.7|
C) |–174.6| > |204|
D) |–362.5| > |45.8|
Answer:
D
Step-by-step explanation:
To solve this, we can go through each answer and see if it is correct.
A)
|–125| < |45|
When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have
125 < 45
125 is greater than 45, so this is false
B)
|–98.5| < |23.7|
98.5 < 23.7
98.5 is greater than 23.7, so this is false
C)
|–174.6| > |204|
174.6 > 204
174.6 is less than 204, so this is false
D)
|–362.5| > |45.8|
362.5 > 45.8
362.5 is greater than 45.8, so this is true
Julie estimated her town's population at 77,500. The actual population of her town is 75,000,
Find the percent error.
Answer:
3.3%
Step-by-step explanation:
77500-75000=2500
2500/75000 x100=3.3%
can someone help me
question down below
Answer:
N||M, K||J
Step-by-step explanation:
N and M are both parallel to each other and || symbolizes that, same goes for K and J
x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)
Answer:
x=72
Step-by-step explanation:
x-9=3/4 ⋅ x+9
1/4 ⋅ x -9=9
1/4⋅x=18
x=72
4x+y=0 2x-y=-12 how many solutions does this problem have? No solution, one solution, or infinite solutions
Last week, Brenna's Ice Creamery sold 34 sundaes with nuts and 16 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
17/8
Step-by-step explanation:
34/16 simplified is 17/8
Answer:
17/8
Step-by-step explanation:
wn won
34 16
34/16
factors of 34 and 16 are 2
34 / 2 = 17
16 / 2 = 8
simplified, 17/8
what would the algebraic expression be for the product of 3 and x increased by 20
Answer:
3x + 20
Step-by-step explanation:
Product is for multiplication therefore, the product of 3 and x is 3x.
increased = addition
Overall, the product of 3 and x increased by 20 is 3x + 20.
14. Complete the table below to represent y = 0.25x + 3.
Then draw a graph to represent the relationship between
the x and y-values.
Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line
Step-by-step explanation:
go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.
What time is four past eight at night
Answer:
8:04 pm
Step-by-step explanation:
Answer:
8:04
Step-by-step explanation:
8 o'clock and four minutes past 8 is 8:04.
Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40
Answer: D i think
Step-by-step explanation:
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
Simplify the expression, then we have
⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10
⇒ − 7x + 6x − 24 − 2x − 6 + 10
⇒ − 3x − 20
⇒ − (3x + 20)
The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.
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What is the domain of the equation shown in the graph?
Question options:
All real numbers
x= ≤ -1
x≥-1
x≤0
Answer:
All real numbers.
Step-by-step explanation:
The domain is the range of values of x.
The graph goes on without bounds to - infinity and positive infinity.
the formula to find the curved surface area of the cone
Step-by-step explanation:
the formula for finding curved surface area of the cone is is pi ×r ×l
Find the 12th term of the following geometric sequence.
10, 30, 90, 270
Answer:
1,771,470
Explanation:
10(3^n-1)
I need help please!!!
Answer:
x=1
Step-by-step explanation:
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1
Brainliest would be appreciated! :-)
FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d
someone help me asap
Answer:
-9
Step-by-step explanation:
Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?
Answer:
a=√x3y5 or a=−√x3y5
Step-by-step explanation:
Answer:
A, B & D
Step-by-step explanation:
Just did it on Edge
What is the value of x?
A. 73°
B. 71°
C. 70°
D. 68°
We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°
⇒ 2x° = 140° ⇒ x° = 70°
The answer is C. 70°
ok done. Thank to me :>
If triangle ABC is reflected across the x-axis, what are the coordinates of point A’? (, )
Answer: I don't really know because there is no picture of what coordinate A was before it was reflected across x-axis.
find the slope of the line that passes through the pair of points (3,-5), (-4,1)
Answer:
-6/7
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 1 / 3 - -4
-6 / 7
please help me!
ty :)
Answer:
slope: -4
Step-by-step explanation:
the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
so insert the x- and y- values into the formula. you'll get:
[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]
solve 4x-y=-5 -2x+3y=10
Answer:
(x,y) =(7/2,4)
7 grade math hellp me
Answer:
P=25
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
28
Step-by-step explanation:
Please help me im begging you
Answer:
i think its D but sorry if im wrong !! <3
Step-by-step explanation:
Answer: 6⅝ subtract 2½ or rewrite the equation as 6⅝ subtract 2 ⁴/8 same thing :)
Whole numbers: 6-2 = 4
⅝- ⁴/8 = ⅛
Step-by-step explanation:
The answer is 4 ⅛ :)
The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!
Answer:
3.4 cm
Step-by-step explanation:
average is the sum of all the values then divided by the number of values.
The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.
The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.
Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.
Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm
Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm
Therefore, the average rainfall for the given values is 3.40 cm.
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A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
—————————————————————
8% = 96.72
$1,341.99 - $96.72 = $1245.27
————————————————
Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
cos^-1(cos 43°)
PLEASE HELP ME
[tex] \: \: \: \: \: [/tex]
[tex] = \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152[/tex]
Step-by-step explanation:
[tex] \cos( - 1) ( \cos(43°)) [/tex]
simplify the expression usiNg the symmetry of trigonometry[tex]= \cos(1) \cos(43°) \\ \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ = 0.395152[/tex]
hope it helps[tex]\cos^{-1}(\cos 43^{\circ})=43^{\circ}\\\\\\\text{In radians,}~~ \dfrac{43\pi}{180}[/tex]
The graph of y=f(x) is shown below. Find all values of x where f(x)=5
=======================================================
Explanation:
Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.
This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6
This shows that f(-4) = 5 and f(-6) = 5.
Phrased another way: the points (-4,5) and (-6,5) are on the parabola.
what is x and what is y?
Step-by-step explanation:
i hope the illustrations are clear