We add (x +7 ) (x - 10) up to -3 and multiply to -70.
What is a quadratic equation?
Any equation in algebra that can be written in the standard form where x denotes an unknown value and a, b, and c denote known numbers, where a 0 is a quadratic equation.
Here,
We illustrate and prove that -9 and 10 multiply to -90 and add up to 1:
7 × -10 = -70
-10 + 7 = -3
We are trying to determine how to factor the following quadratic equation.
x² -3 x - 70 = 0
If so, the solution to factor the quadratic equation above is:
(x +7 ) (x - 10)
To summarize, -10 and 7 multiplied by -70 and add up to -3, you know that the following is true:
x² -3x - 70
= (x +7 ) (x - 10)
Hence, we add (x +7 ) (x - 10) up to -3 and multiply by -70.
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The two points (1, 3) and (5,-5) lie on a straight line. Find the slope of this
line. (Use algebraic methods.)
Answer:
The slope is -2
Step-by-step explanation:
Use the slope formula to find the slope mm.
m = − 2m = - 2
Help Please!!!!!!!!!
Answer:
what's the question?
Step-by-step explanation:
A physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight. A nutritionist recommends that no more than 30% of those calories should come from simple sugars What is the maximum number of calories per day that should come from simple sugars?
Answer:
844.5 calories.
Step-by-step explanation:
If a physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight, and a nutritionist recommends that no more than 30% of those calories should come from simple sugars, the maximum number of calories per day that should come from simple sugars is:
2815 calories * 30% = <<281530.01=844.5>>844.5 calories
So, the maximum number of calories per day that should come from simple sugars is 844.5 calories.
Answer
844.5
Step-by-step explanation:
80+100=180
180÷100=1.80
1.80×2815=844.5
A linear relationship is given in the table.
X-2
y-12-7-238
What is the slope of the relationship?
05
0-5
O
-10 12
01/130
5
0_1
5
The slope of the relation is 1/4
What is the slope of the table?You should know that slope is the rate of change of y with respect to x. slope is denoted by change in y over change in x
The table of values is given as:
x −2 −1 0 1 2
y −13 −9 −5 −1 3
The slope is calculated as:
Slope = y₂ - y₁/x₂ - x₁
So, we have
Slope = 2 - 1/3 + 1
Evaluate the like terms
Slope = 1/4
In conclusion, the slope of the relation is 1/4
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The morning temperature is -29.8 degrees. The temperature rose 33.2 degrees during the day.
What is the new temperature in degrees?
Answer:
Step-by-step explanation:use a calculator
Answer:
Step-by-step explanation:
-29.8+33.2=3.4
Write an addition equation with three equal fractional parts.
15
4
=
+
+
Step-by-step explanation:
please refer to the sketch
solve the system by elimination. show steps so i can write down please i will mark brainliest thank you!! :)
Answer:
(-2,5), refer to the step-by-step. Feel free to comment any questions you may have!
Step-by-step explanation:
Given the system of equation, [tex]\left \{ {{x+6y=28} \atop {2x-3y=-19}} \right.[/tex], solve by elimination.
[tex]\left \{ {{-2(x+6y=28)} \atop {2x-3y=-19}} \right.[/tex] , multiply the top equation by -2.
We get, [tex]\left \{ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.[/tex]
[tex]+ {{-2x-12y=-56} \atop {2x-3y=-19}} \right.[/tex], add the equations together.
We get, [tex]-15y=75[/tex], we just eliminated the variable, x, we can now solve this equation for y.
[tex]-15y=-75 = > y=\frac{-75}{-15}[/tex], [tex]y=\frac{75}{15} = > y=5[/tex]
We just found the value y, which is y=5. Now we can take this value and plug it into y for either of the two original equations and solve for x. I will take the top equation...
[tex]x+6y=28 = > x+6(5)=28 = > x+30=28[/tex], subtract the value, 30, from both sides. We get, [tex]x=-2[/tex].
We found the value x, x=-2.
Thus the solution to the given system of equations is (-2,5).
Answer:
(-2, 5)
Step-by-step explanation:
Given linear system of equations:
[tex]\begin{cases}x+6y=28\\2x-3y=-19\end{cases}[/tex]
To solve by the method of elimination, first multiply the first equation by -2:
[tex]\implies -2 (x+6y=28)[/tex]
[tex]\implies -2x-12y=-56[/tex]
Add this to the second equation to eliminate the term in x:
[tex]\begin{array}{lrcrcr}& 2x & - & 3y & = & -19\\+\vphantom{\dfrac12}&(-2x & - & 12y & = & -56\\\cline{2-6}&\vphantom{\dfrac12}&- & 15y & = &-75\end{array}[/tex]
Solve the expression for y:
[tex]\implies -15y=-75[/tex]
[tex]\implies y=5[/tex]
Substitute the found value of y into the expression for x and solve for x:
[tex]\implies x=28-6(5)[/tex]
[tex]\implies x=28-30[/tex]
[tex]\implies x=-2[/tex]
Check by substituting the found values of x and y into both equations.
Equation 1
[tex]\implies -2+6(5)=-2+30=28[/tex]
Equation 2
[tex]\implies 2(-2)-3(5)=-4-15=-19[/tex]
Hence proving that the solution (-2, 5) is true.
Given f(x) = -3x + 1, solve for a when ƒ(x) = −5.
Clearly f(x) is one-one onto function so it is invertible so ƒ(x) is y + -5 /3.
What one-one onto function ?Each element of one set, let's say Set (A), is mapped with a particular element of another set, let's say Set (B), where A and B are two separate sets. This is known as a one-to-one function or one-to-one mapping. 1-1 is another way to write it. If f(x) = f(y) means that x = y, then f is one to one in terms of function.
Let y = f(x) = -3x + 1
Clearly f(x) is one-one onto function so it is invertible.
⇒y = -3x − 1 ⇒ x = y+1 /-3
∴f (x)= -5
y + -5 /3
Clearly f(x) is one-one onto function so it is invertible so ƒ(x) is y + -5 /3
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Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0). What are the coordinates of Point D?
The coordinates of Point D are (2.5, 8).
What is parallelogram?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of equal size.
Given:
Parallelogram ABCD has vertices at A (-3, 6.5), B (-1, -1.5), and C (4.5, 0).
We have to find the coordinates of Point D.
Let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
We know that the diagonals of a parallelogram bisect each other.
So, O is the midpoint of AC as well as that of BD.
Using the midpoint formula,
Midpoint = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Here, ([tex](x_1, y_1) = (-3, 6.5), (x_2, y_2) = (4.5, 0)[/tex]
⇒ Midpoint of AC = [tex](\frac{-3 + 4.5}{2}, \frac{6.5 +0}{2}) = (\frac{1.5}{2}, \frac{6.5}{2}) = (0.75, 3.25)[/tex]
Now,
Midpoint of BD is = [tex](\frac{-1+a)}{2}, \frac{-1.5+b}{2})[/tex]
⇒
[tex]\frac{-1+a}{2} = 0.75, \frac{-1.5+b}{2} = 3.25 \\ -1 + a = 1.5, -1.5 + b = 6.50\\a = 2.5, b = 8[/tex]
Hence, the coordinates of Point D are (2.5, 8).
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it takes 9 people 40 minutes to clean a hotel lobby. How many minutes would it take 4 people
Answer:
90 minutes
Step-by-step explanation:
9 people = 40 minutes
4 people = 40/4=10
10 * 9= 90
therefore 4 people will finish the work in 90 minutes
Which of the following functions matches this graph?
On a coordinate plane, a parabola opens up and goes through (negative 1.1, 0), has a vertex at (0, negative 4), and goes through (1, 0).
Answer:
ok so if we were to do this the correct way than we would put th
e a/312 *42 first but inorder to do this we have to put the 123 bacwards from origanal order wich would be 312 so 213 wich is 87 times theaccual length so i have no idea
Step-by-step explanation:
3
Use the drawing tool(s) to form the correct answer on the provided graph.
The function f(x) is shown on the provided graph.
Graph the result of the following transformation on f(x).
Drawing Tools
Select
Line
Click on a tool to begin drawing
-10
-8
f(z) + 6
-6
4
-2
10-
8-
6
Delete
Undo
Reset
10
-1 on the left x-axis and 4 on the right y-axis.
Start at -2 on the y-axis, move up the y-axis six times, and you should arrive at 4. However, you must identify the first line in order to complete the puzzle.
Start at -2 on the y-axis, count up until it is on a corner of the graph, then move 4 up on the y-axis and once to the right, making the fraction 4/1.
Since you should be at 4, apply the formula rise/run 4/1 to ascend 6 on the y-axis.
step 1: ascend the y-axis six times.
Step 2: Use 4/1 to increase from the y-4 axis's by 1 to the right
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Luz has 2 red, 2 white, and 3 blue marbles in a cup. If she draws two marbles at random and does not replace the first
one, find the probability of a white marble and then a blue marble
Answer:
2 she draws it they are not real
Help
Fjfjdjfjdjdjdjdjjfjfjfhfjd
Answer:
55
Step-by-step explanation:
IHG = 123
IHS = x + 65
SHG = x + 78
IHG = IHS + SHG
123 = x + 65 + x + 78
123 = 2x + 143
123 - 143 = 2x
-20 = 2x
-10 = x
IHS = x + 65
IHS = - 10 + 65
IHS = 55
What is the difference between a subset and a proper subset?
{5,8}
{2,5,8}
is {5,8} a subset of {2,5,8} ? yes or no ? Please explain.
Answer:
it is a subset
Step-by-step explanation:
since elementsof these set{5,8} can found in {2,5,8}
69°F
() Which ordered pairs represent points on the graph of this equation? Select all that apply.
7y = -4x + 28
>
(3, -6)
(5,0)
(0,4)
(-4,-5)
(-5, 1)
(-6, 3)
Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.
What exactly is a line equation?A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.
given
7y = -4x + 28
For (3,-6)
7(-6) + 4( 3) = 28
-42 + 12 = 28
no
For (5,0)
7(0)+4(5)= 28
= 20
no
For (0,4)
7(4)-0=28
Yes
For (-4,-5)
7(-5)+4( - 4)= 28
no
For (-5, 1)
7(1)+4(-5)=28
No
For (-6,3)
7(-6)+4(3)= 28
No
hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.
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Suppose that the function h is defined, for all real numbers, as follows.
h(x) = (x+1)²
{
if x ≤-2
if-2
-x-2 ifx>2
h(-2) = 0
h(-1) = 0
h (3) = 0
Find h(-2), h(-1), and h (3).
0/0
믐
X
3
please help 15 points to whoever does
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
h(x) = (x+1)²
h(-2) = 1
h(-1) = 0
h(3) = 8
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
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to 2 6/12 simplified
Answer:
2 1/2 or 2.5
Step-by-step explanation:
I believe it's 1 1/2
Step-by-step explanation:
I think it's either 1/6 or 1/2
Please helppp . Determine the type of triangle that is drawn below
Answer:
Isosceles right triangle
Step-by-step explanation:
Step-by-step explanation:
Isosceles Right Triangle
Select all the correct answers. The manufacturer of a popular brand of markers is planning to release a new color. To determine which color to add, it mailed out surveys to 5,000 of its customers regarding the general color family they prefer. The returned results are shown in this pie chart. A Pie Chart with four sections representing the color preferences Blues, Greens, Yellows, and Pinks Based on the results, one member of the management team says they should choose the new color from the blue family of colors since a majority of people prefer those colors. Another member doesn’t agree and thinks they should do more research. Which statements would support her request? The difference among the percentages is not statistically significant enough to make the claim of majority. A majority of the management team prefers the yellow family of colors. Not all color families were represented in the survey, which could cause a nonresponse bias. The mail-in survey may have resulted in an undercoverage bias. Since only existing customers were surveyed, the results were not random.
The statements that would support her request include:
The difference among the percentages is not statistically significant enough to make the claim of majority.Not all color families were represented in the survey, which could cause a nonresponse bias.The mail-in survey may have resulted in an undercoverage bias.Since only existing customers were surveyed, the results were not random.How to illustrate the information?A well-known marker brand's manufacturer intends to introduce a new shade. It mailed surveys to 5,000 of its customers asking them which general color family they preferred in order to decide which color to add.
The percentage difference is not statistically significant enough to support the majority claim. The survey did not include families of every color, which might have led to nonresponse bias.
It's possible that the mail-in survey had an undercoverage bias. Also, the results were not random because only current clients were polled.
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Answer: the other guy is correct except for the "since only existing customers...".
Step-by-step explanation:
Just took the test, the others he mentioned were right
Faith Sherlock received her monthly pension check of $1,445.26. From that amount, she transferred $170 to a savings account and paid the electricity bill for $156.33, the gas bill for $9.38, the water bill for $98.42, and the cable television bill for $52.54. How much (in $) remained of Faith's monthly pension?
Answer:
170 + 156.33 + 9.38 + 98.42 + 52.54= 486.67
1,445.26 - 486.67= 958.59
Faith has $958.59 left.
Which expression is the simplest form of 2(4x + y) + 3(x-69) + x??
O A. x2 + 11x – 4y
B. x2 + 11x- 17y
O c. x2 + 11x-16y
O D. x2 + 9x - 17y
SUBMIT
Colin rolls a fair dice and flips a fair coin.
What is the probability of obtaining a 3 and a tail? answer in fraction
Answer:
[tex] \frac{1}{12} [/tex]
Step-by-step explanation:
Coin has 2 outcomes dice has 6 outcomes
A tail is 1/2 and a 3 is 1/6
So a tail and a 3 is 1/2 x 1/6
=1/12
the inaugural attendance of an annual film festival is 20,000. The attendance y increases by 5% each year
A. write a function that represents the attendance after t years.
B. about how many people will attend the festival in the fifth year?
A. A function that represents the attendance after t years can be written as y = 20,000(1 + 0.05t)
What does a math function mean?
a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
This function represents the initial attendance of 20,000, multiplied by 1 + 5% increase each year (0.05) times the number of years (t).
B. To find out about how many people will attend the festival in the fifth year, we can substitute t = 5 into the function.
y = 20,000(1 + 0.05 * 5)
y = 20,000(1 + 0.25)
y = 20,000(1.25)
y = 25,000
So, approximately 25,000 people will attend the festival in the fifth year.
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Please help ASAP!!! Thank you!!
Answer:
- 3/x-1
Step-by-step explanation:
Answer:
[tex]-\frac{3}{x-1}[/tex]
Step-by-step explanation:
Factor the denominator and then combine fractions:
[tex]\frac{3}{(x-1)(x-2)} -\frac{3}{x-2}[/tex]
Find LCM (Least Common Multiple) of denominators:
LCM of (x-1)(x-2) and x-2 is (x-1)(x-2)
Adjust fractions based on LCM:
[tex]\frac{3}{(x-1)(x-2)} -\frac{3(x-1)}{(x-2)(x-1)}[/tex]
Denominators are now equal so you can subtract the fractions:
[tex]\frac{3-3(x-1)}{(x-1)(x-2)}[/tex]
Factor the numerator:
[tex]\frac{3(-x+2)}{(x-1)(x-2)}[/tex]
Cancel:
[tex]-\frac{3}{x-1}[/tex]
2. A 2-pint bottle of olive oil costs $2.68. If
the unit price remains the same, how much will
gallons of olive oil cost?
Answer:
21.44 All you need to do is divide the 2.68 by 2 then multiply it by 16
If you shift the cubic parent function, F(x)=x^3, down 9 units, what is the equation of the new function
Therefore the table values of which represents a linear function are table 2 and table 3
What is linear equation?A linear equation is a first-order (linear) term and a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. A "linear equation of two variables" is what is sometimes referred to here, where y and x are the variables.
Here,
The values shown in table 2 have same constant rate of change of 3 units.
where as,
The values shown in table 3 have same constant rate of change of 5 units.
Therefore the table values of which represents a linear function are table 2 and table 3
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Help please need to pass!
First image is the answer choices for both
Second image is the questions
Answer:
1. (-9,-2)
2. (2, -9)
what the first one just swap the coordinates first then change the x coordinate sign .
for the second question while rotating the coordinates along hundred eighty degrees clockwise just change the signs of X and Y coordinates
A gardener wants to build a new garden with a path around it. He wants the dimensions of the total space (garden and path) to be 16 feet by 14 feet. If he wants the total area of the garden to be 120 squared feet how wide should he make the path?
Answer:
The width of the park should be 7.5 feet.
PLEASE HELP!
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Exact Circumference = 4pi feet
Approximate Circumference = 12.56 feet (when using pi = 3.14)
======================================================
Explanation:
The larger circle has a 3 foot radius.
The inner circle has a 3-1 = 2 foot radius.
Let's find the circumference of the smaller inner circle, which represents the glass window and ignores the metal frame surrounding it.
C = 2pi*r
C = 2pi*2
C = 4pi
The exact circumference is 4pi feet. This is the perimeter around the circle.
If you wanted, you can use an approximation like pi = 3.14 to find that 4pi = 4*3.14 = 12.56 feet is the approximate circumference.