The quadratic equations are solved and answered below -
What is a equation?An equation is a mathematical statement showing the equivalence of two mathematical expressions. Example -
3x + 5 = 8
Given is -
3x² - 7 = 31
2x² + 18 = 0
4x² - 26 = - 50
2x² + 36 = x²
We have -
3x² - 7 = 31
3x² = 38
x² = 38/3
x² = 12.67
x = ±3.56
2x² + 18 = 0
2x² = - 18
x² = -9
x = ±3i
4x² - 26 = - 50
4x² = - 24
x² = -6
x = ±√6i
2x² + 36 = x²
x² = - 36
x = ±√6 i
Therefore, the quadratic equations are solved above.
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23. Amy says, "To find 50 x 20, I multiply 5 x 2 and then place the total number of zeros in both factors at the end." Do you agree? Explain.
That is one way to find out the answer
How do i graph this? 4x - 2y > 12
Step-by-step explanation:
X-intercept is where the line crosses the x-axis or where y = 0
So, put y = 0 in the given equation
4x + 2(0) = 12
4x = 12
x = 12/4
x = 3
Given that f(x) = x² + 4x, evaluate f(-2). -12 -8 -4
Answer:
-4
Step-by-step explanation:
(-2)^2 + 4(-2) =
= 4 - 8 =
= -4
Kelly works at her own nail salon. Today, she did 11 manicures and received $55.00 in overall tips. If x represents the cost of each manicure, which of the following equations can be used to find the total amount of money she earned, including tips, for her nail salon today?
Answer:
5
Step-by-step explanation:
Can anyone write the equation of the graph?
The equation of the graph represented by the figure is f(x) = |x - 3| + 5
How to find the equation of the graph line?From the question, we have the following graph that can be used in our computation:
The graph is an absolute value graph
As a general rule, an absolute value is expressed as
y = |x - h| + k
In this case, the vertex is
Vertex = (h, k)
As a general rule, the vertex of a function is the minimum point on the graph
On the given graph, the minimum point is (3, 5)
This means that
(h, k) = (3, 5)
Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k
So, we have the following representation
y = |x - 3| + 5
Rewrite the equation as a function
f(x) = |x - 3| + 5
Hence, the equation is f(x) = |x - 3| + 5
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Find the distance from the point 4(2-1) to the liney=-x+4. Round your answer to the nearest fenth.
Answer:
2.12
Step-by-step explanation:
Discussion
The answer is given in the graph I've made for you. The distance you want is a contained in a line that is perpendicular to the given line and goes through (2,-1). If I have not interpreted this correctly please leave a comment under the question and I will edit it. I have ignored the 4.
The steps needed are
Find the slope of the line perpendicular to y = - x + 4Find the intersection point on y = - x + 4 and the new line.Use the distance formula to find the distance from (2,-1) to the intersection point found in the second stepGivens
line y = -x + 4
point (2,-1)
Solution
The slope of the second line is
m1 * m2 = - 1
m1= -1 From the given equation
m2 = ?
-1 * m2 = - 1
m2 = 1
Find the equation of the new line
x = 2
y = - 1 from the given point
-1 = 2 + b Subtract 2 from both sides
-1 - 2 = 2-2 + b Combine
-3 = b
Equation of the new line
y = x - 3
Intersection point of the two lines
y = -x + 4
y = x - 3 Add The xs cancel
2y = 1 Divide by 2
y = 1/2
1/2 = -x + 4 Subtract 4 from both sides
1/2 - 4 = -x + 4 -4 Combine
-3 1/2 = -x Multiply both sides by - 1
3 1/2 = x
So the intersection point is (3.5, 0.5)
Find the distance between (2,-1) and (3.5,0.5)
d = sqrt( (2 - 3.5)^2 + (-1 - 0.5)^2 )
d = sqrt( (-1.5)^2 + (-1.5)^2 )
d = ( 1..5 * sqrt(2) )
d = 2.12
1/2 : 2/3 = X:1
[1 mark]
The value of X for the given equation is X = 3/4.
What are the ratio and proportion?A percentage is the equality of two ratios, while a ratio is the divisional comparison of two numbers. As well as being written as x: y or x/y, ratios are sometimes expressed as x is to y.
A proportional equation declares that two ratios are similar on a comparative basis. A ratio means that x is to y as z is to w and is represented as x: y: z: w. Since w and y are not equal in this situation, x/y = z/w.
The given equation is
1/2 : 2/3 = X:1
We can rewrite it as
(1/2)/ (2/3) = X
X = 1/2 × 3/2
X= 3/4
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Write the equation for the absolute value function graphed
Thank you!
The equation for the absolute value function is y = -2lx-4l + 2
An absolute value function is what?
A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.
Y=a| x+h |+k is the form of the equation for an absolute value function. Also:
The graph's vertex is (h,k).
The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.
The range of the graph is y≤k when a0, and its domain is a set of all real numbers.
X=h is the symmetry axis.
If a>0, it opens up; if a0, it opens down.
The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.
If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.
So here (h,k)=(4,2)
range of y≤2
and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2
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BRAINLY FOR THE RIGHT ANSWER
Answer:
Answer:table B represents the linear equation which is:[tex]y=-3x+11[/tex]The graph of the linear function is also attached below.Step-by-step explanation:Given the table B values x
reggiethenerd10 what is (8.7 + 3.3) x (1/2) 2 to the second power
Answer:
3
Step-by-step explanation:
The value of the operation is 3.
The first step is to solve for the terms in the brackets.
The decimals would be added first 8.7 + 3.3 = 12
The second step is to determine the square of one-half² = x = 1/4
The third step is to multiply, 1/4 by 12 1/4 x 12 = 3
Can anyone answer this question?
The equation of the graph in vertex form is: y = 1x – 3| + 5.
How to Write the Equation of a Graph?The graph in the diagram above is a graph of an absolute value equation. The equation can be expressed as y = a|x – h| + k (vertex form), where the vertex is represented as (h, k).
The vertex of the graph is the coordinate of the point where the two straight lines meet.
Given the graph above, the vertex is at point (3, 5). Therefore:
h = 3
k = 5
The graph opens up, so the value of a = 1.
Substitute h = 3 and k = 5 into y = a|x – h| + k:
y = 1|x – 3| + 5
y = 1x – 3| + 5
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0.1 times n equal's89.5
On May 1st, the temperatures at midnight in five European cities were
measured and the results were as follows.
Glasgow 2°C,
Nice 6°C,
Berlin 0°C,
London 4°C, Oslo -3°C
List the cities in order of the temperature at midnight, starting with the lowest.
31.24 to 1 deecimal place
Round 31.24 to 1 decimal place:
31.2
Answer:31.2
Step-by-step explanation:
you remove the 4 because it is less than 5.
11. A carpenter needs to be sure that a frame he has built is rectangular. He knows that the opposite
sides of his frame are congruent. Give one additional fact that would be sufficient to guarantee that the
frame is rectangular.
Frances owns a landscaping business. She has 425 plants and is placing an equal number of plants into 47 yards. After planting, how many plants will she have left to take home and plant in her own yard?
A. 0 plants
B. 1 plant
C. 2 plants
D. 3 plants
A line passes through point (-2, 8) and has a slope of -5. Write an equation in Ax + By =C form for this line. Use integers for A, B, and C.
25 points
The equation of line with a slope of -5 and which passes through point (-2, 8) is 5x + y = -2.
What is the equation of line with the given point and slope?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the data in the question;
Point (-2,8)
x = -2y = 8Slope m = -5First, we determine the y-intercept 'b'. Plug the coordinates and slope into the equation of line formula and solve for b.
y = mx + b
8 = (-5)(-2) + b
8 = 10 + b
b = 8 - 10
b = -2
Now, plug values of slope m and y-intercept b into y = mx + b to determine the equation of the line.
y = mx + b
y = (-5)x + (-2)
y = -5x - 2
Convert to standard form; Ax + Bx = C
y = -5x - 2
Reorder the equation
5x + y = - 2
Therefore, the equation of the line is 5x + y = - 2.
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For every 1/3 cups of flour, there are
7/8 cups of pumkin. How much flour (in
cups) should I use for 1 cup of
pumpkin?
Answer: 0.4176 cups of flour
Step-by-step explanation: First you'll need to convert both amounts to the same denominator, using their LCM, which is 24. 1/3 x 8 = 8/24, 7/8 x 3 = 21/24. Then calculate what you need to multiply 21/24 with to get 24/24, 21/24 = 0.875 1.000- 0.875 = 0.125. Finally, multiply 1/3 by 0.125 which is 0.416... / 0.4167, so you'll need 0.4167 cups of flour, or 4,167/10,000 of a cup os flour.
Please help ASAP!! Screenshot below. 10 points
Answer:
The answer to this equation is (-1,1)
Dakota found a vintage skateboard from the 1980s in her parents' garage. The owner of the local skate shop told her the skateboard is currently worth $380 and will increase in value by about 7% each year. Write an exponential equation in the form y=a(b)x that can model the skateboard's value, y, in x years. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = To the nearest dollar, how much will the skateboard be worth in 7 years?
1. An exponential equation modeling the skateboard's value, y, in x years is y = 380 x 1.07ˣ.
2. The value of the skateboard will be worth $610.28 in seven years.
What is an exponential equation?An exponential equation is a mathematical function that depicts an equation with variable exponents.
The exponential function is always written in the form of y = abˣ.
Where a = the constant or initial value, b = the continuous growth rate, and x or t = the time variable.
Y represents the value that we are looking for after the growth rate has been applied for several (t) years.
The current worth of the skateboard = $380
Annual increase = 7% = 0.07
Number of years = 7 years
Y = 380 x 1.07⁷
= 380 x 1.606
= 610.28
= $610.28
Thus, in seven years, using the exponential equation, the skateboard will be worth $610.28.
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Help Please! Its a Math question. Need help asap.
The composite figure has a total area of 12 square centimeters.
How to determine the area of a composite figure
In this problem we find the area of a composite figure, which is the result of subtracting the areas of four triangles of same dimensions from the area of the entire square. Now we proceed to determine the area:
A = (6 cm)² - 4 · 0.5 · (2 cm) · (3 cm)
A = 36 cm² - 2 · (12 cm²)
A = 36 cm² - 24 cm²
A = 12 cm²
The area of the composite figure is 12 square centimeters.
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plssss help me . i’ll give brainliest .
Mark up and discount answers
A basketball backboard set that sold for $79 is discounted 15%. What is the sale price?
The sale price of a basketball backboard set that sold for $79 is discounted by 15% is $67.15.
We will use the method of percentage to solve the given question.
We are given:
A basketball backboard set that sold for $79 is discounted by 15%.
We need to find the sale price after the discount is given.
We will subtract the discount from the marked price.
Let us solve this;
Sale price = marked price - discount
Sale price = $79 - $79 * 15%
Sale price = $79 - $79 * 15 / 100
Sale price = $79 - $11.85
Sale price = $67.15
So, the sale price will be $67.15.
Thus, the sale price of a basketball backboard set that sold for $79 is discounted by 15% is $67.15.
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81% of the tickets sold at an amusement park were discount tickets. If the park sold 800 tickets in all, how many discount tickets did it sell?
Answer:
40% = 0.40800 / 0.40 = 2000 total tickets were sold
Step-by-step explanation:
Answer:
648
Step-by-step explanation:
ans: 81/100 x800
=648
if m angle 1 =3x +15 and m angle 2 = 6x+3 find x
Answer:
x=27 I think
Step-by-step explanation:
1 = 3x + 15
2 = 6x + 3
We can solve by putting both equations together.
Let's multiple the top equation by -2
-2(1 = 3x + 15)
-2 = -6x - 30
2 = 6x + 3
0=x - 27
27=x
Write an equation for each line using slope intercept form
Answer:
y = -5/3 - 3
Step-by-step explanation:
Since it's given a graph, we can use rise over run to figure it out
We pick 2 points that are integers on the graph , which means two points on the graph that the line goes through
Example- I picked (-3, 2) and (0, -3), you can indicate them so you don't forget or anything
We now draw a triangle formed by those two points (a line that goes from (-3, 2) to (-3, -3) and a line from (0, -3) to (-3, -3)
Rise (Which is the height of the triangle you just drew) is 5 units, but it's going down, so -5
The base (Run) is 3 units. Using rise/run, the slope is -5/3
The y-intercept, which is at the point where the graph crosses the y-axis, is -3.
The slope intercept form is y=mx+b, where m = slope and b = y-intercept, so the equation of the graph is y = -5/3x -3
What is the generator for the sequence: 1, 3, 9, 27, 81, ... *
O 2
O 4/3
O 8/3
O 3
Answer:
3
Step-by-step explanation:
what it means by generator is the continuance of the multiplication process so 1x3=3 and then 3x3=9 and so on.
PLEASE HELP
Write the equation of a line that is perpendicular to y = 5 and that passes through the point
(-7, --5).
The equation of the line that is perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.
We have to find the equation of a line that is perpendicular to y = 5 and that passes through the point (-7, -5).
y = 5 is a line that is parallel to the x-axis hence, the line perpendicular to it will be parallel to the y-axis.
Also, the line touches (-7,-5) hence, it will touch the line y = 5 at (-7,5).
Hence, the line perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.
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Greta sells advertising space for her school yearbook. Last year, a quarter-page ad cost $110.
This year, Greta's teacher asks her to mark down the price by 15% to attract more sponsors.
Greta wants to know the price after the markdown.
☐ Let q equal the price of a quarter-page ad after the markdown.
Which equation can you use to find q?
q=110-0.15(15)
q=110 +0.15(110)
q=110 - 0.15(110)
q=110 +0.15(15)
The equation that could be used to find q is q = 110-0.15(110) where q equal the price of a quarter-page ad after the markdown.
According to the question,
We have the following information:
Cost of a quarter-page ad cost = $110
Mark down in the price = 15%
Now, q represents the price of a quarter-page ad after the markdown.
(Note that when we remove the sign of % means that the number has to be divided by 100.)
So, the equation will be the difference of the markdown price from the original price:
q = 110-(15/100)110
q = 110-0.15*110
q = 110-0.15(110)
Hence, the correct option is the third one.
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Which of these is not the net of a cube?
a)
b)
B
C
D
Only 1 attempt allowed
Answer: b)
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