Answer:
The answer is x= -15
Pls help solve part c
Answer:
See image below
Step-by-step explanation:
Every point starting at the y axis and extending left to ∞ represents the inequality x ≤ 0
The graph above is a transformation of the function x2 Write an equation for the function graphed above
Answer: y=0,5x²-x-1,5.
Step-by-step explanation:
[tex](-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2) \ \ \ \ y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \ \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right \\[/tex]
We summarize (1) and (3):
[tex]2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.[/tex]
Substitute b=-1 into (2):
[tex]9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\[/tex]
From (5) subtract (4):
[tex]8a=4\ |:8\\a=0,5.\ \ \ \ \Rightarrow\\[/tex]
Substitute a=0,5 into (4):
[tex]0,5+c=-1\\c=-1,5.[/tex]
Hense:
y=0,5x²-x-1,5.
Let a, b, and c be positive integers that form a geometric sequence. Given that a has 3 factors and c has 9 factors, how many factors can b have, at most?
Answer choices: 14, 9, 6, 8, 10.
DO NOT ATTEMPT IF YOUR NOT 98% SURE
Answer:
9
Step-by-step explanation:
it’s clear that a ,b and c are in geometric progression.
Then we have :
a
b = q×a
c = q²×a
also , b² = a×c
………………………
NOTE : b² and b have the same factors
also ,since b² = a×c then b and a×c
have the same number of factors.
_______________________________
Since c = q²×a then any factor of a is also a factor of c
Which means the number of factors of a×c
is equal to the number of factors of c.
Therefore b at most has the same number of factors as c.
Conclusion:
at most b has 9 factors.
……………………
As a side note :
You can take as example the numbers 3 , 30 , 300.
3 ——-> 1 factor
30 = 3×5×2 ——-> 3 factors
300 = 3 × 5² × 2² ——-> 3 factors
Select the correct answer. What are the zeros of the graphed function? A polynomial function graph where the solid line intersects X-axis on origin (0, 0), (2, 0) and (4, 0). The same line intersects Y-axis at (0.5, 4) and (3.5, 4) A. 0 and 4 B. -4, -2, and 0 C. 0, 2, and 4 D. -4 and 0
Considering the situation described, the zeros of the function are given by:
C. 0, 2, and 4.
What are the zeros of a function f(x)?The zeros of a function are the values of x when f(x) = 0, and can also be described as the values of x for which the line intersects the x-axis.
In this problem, the line intersects the x-axis at x = 0, x = 2, and x = 4, hence option C is correct.
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Translate the triangle.
Then enter the new coordinates.
(3,4) A
C
(1,2)
B
(4,2)
<-2,4>
A' (1.8)
B'([?], [])
C'([] [])
The coordinates of the vertices of the translated triangle are A'(x, y) = (1, 8), B'(x, y) = (2, 6) and C'(x, y) = (- 1, 6).
How to translate a triangle by transformation rules
Graphically speaking, triangles can be generated by knowing its three vertices. In this question we must apply a kind of rigid transformation known as translation, whose formula is:
P'(x, y) = P(x, y) + T(x, y) (1)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vectorIf we know that A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2) and T(x, y) = (-2, 4), then the new coordinates are:
A'(x, y) = (3, 4) + (- 2, 4)
A'(x, y) = (1, 8)
B'(x, y) = (4, 2) + (- 2, 4)
B'(x, y) = (2, 6)
C'(x, y) = (1, 2) + (- 2, 4)
C'(x, y) = (- 1, 6)
Remark
The statement presents typing mistakes, correct form is:
Translate the triangle with the vector <- 2, 4>, then enter the new coordinates:
Original coordinates - A(x, y) = (3, 4), B(x, y) = (4, 2), C(x, y) = (1, 2).
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The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).
What are the coordinates of P'?
P’(1, 2)
P'(1, 1)
P'(1, –3)
P'(4, 4)
The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)
How to determined a resulting point by translation
In this question we need to determine the new location of a point by using a translation formula. Translations are rigid transformations in which a point is translated on a Cartesian plane. We have the following formula:
P'(x, y) = P(x, y) + (- 5, - 2) (1)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointIf we know that P(x, y) = (6, - 1), then the resulting point is:
P'(x, y) = (6, - 1) + (- 5, - 2)
P'(x, y) = (1, - 3)
The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)
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Answer:
c
Step-by-step explanation:
URGENT NEED ANSWER NOWWWW!!! WORTH 27 POINTS!!!
Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive.
A. 9+x=108
B. x=108-9
C. x=108/9
D. x=9/8
The equation that shoes the pieces of candy each kid would receive is x = 108 / 9.
How many pieces of candy would each kid receive?
Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.
Candy each kid would get = total number of candy / total number of kids
x = 108/9
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Joey brought a plot of land measuring 1 square mile, on which he plans to grow blueberries. He hires 346 people to plant each seedling, and each seedling requires 1.5ft of land. How many square feet of land can the 346 workers plant each minute?
The square feet of land that 346 workers can plant each minute is 2076 ft.
How many square feet of land can the 346 workers plant each minute?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
Square feet that can be planted each minute :
number of workers x feet of each seeding x ( one minute / time required to plant one seeding)
346 X 1.5 X (60 / 20) = 2076 ft
Here is the complete question:
Joey bought a plot of land measuring 1 square mile, on which he plans to grow blueberries. He hires 346 people to plant seedlings. It takes about 20 seconds to plant a seedling. each seedling requires 1.5ft of land. How many square feet of land can the 346 workers plant each minute?
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1. There are two cyclists (Cyclist A: 225 lb. and Cyclist B: 145 lb.) riding the same course on the same style bike and
all other variables are the same. Using the four external forces of resistance, explain which cyclist will come to a
stop first if they stopped pedaling. Be sure to include each of the four factor's contribution and how each impacted
your answer. (5 points)
The cyclist that will come to stop first when the brake is applied, is the cyclist with lesser mass which is Cyclist B because of its lesser inertia.
What is law of inertia?
The law of inertia states that an object at rest or uniform motion in a straight line will continue in that path unless acted upon by an external force.
Inertia depends on mass of the object, the more massive an object is, the more reluctant it will be to stop and vice versa.
Thus, the cyclist that will come to stop first when the brake is applied, is the cyclist with lesser mass which is Cyclist B because of its lesser inertia.
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math!! please please helppp!!!
What is the slope of the line below?
(i attached an image)
a) (0,4)
b) -1/3
c) (-1.5,0)
d) 3
e) 4
f) (0,4)
g) -3
h) 1/3
Answer:
D
Step-by-step explanation:
you can use the slope intercept form: y = mx + b.
y = y cooordinate
m = slope
x = x coordinate
b = y intercept
the y intercept is 4.
the point (1, 7) is what we're going to use.
so the new equation is
7 = m + 4 (it would be 1m, but i rewrote it to be mathmatically correct)
subtract 4 from both sides, you should have 3 = m.
the slope is 3
what is slope of line graped below?
The slope of the line is 1
to find the slope its rise (y value)/run (x value); the equation is
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
plugging the values from the graph into the equation:
[tex] \frac{4 - 2}{4 - 2} [/tex]
which simplifies to simply 1
PLEASE HELP!!! what function is graphed below?
The function in the given graph obtained from the y and x-intercept is the option;
[tex]y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)[/tex]
Which method can be used to find the correct function?From the given graph, we have;
At x = 0, y < -2Similarly;
At x = (5/6)•π, y ≈ 0The above relationship corresponds with the following function;
[tex]y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)[/tex]
The function graphed is therefore;
[tex]y = cot \left( \frac{3}{4} \cdot \left(x - \frac{\pi}{6} \right)\right)[/tex]
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HELP PLEASE. 3(2x+3)=15
If you are solving for X then we have to do a few process
What you would want most is to remove the parentheses, so to do that i would use distributive property
3*2x is 6x and 3*3 is 9 so our new equation will look like
6x+9=15 if you don't understand please tell me
now we must bring the 9 over
If you bring the 9 over than it would become negative
6x=15-9
so 6x=6
and now you can solve the answer is x=1
Answer:
The solution is x = 1
Step-by-step explanation:
3(2x+3) = 15
6x+9 = 15
6x = 15-9
6x = 6
x = 6/6
x = 1
Find the value of X:
Answer:
15
Step-by-step explanation:
180-150 = 30
30 = 3x-15
45 = 3x
x = 15
Suppose that Aces can be either high or low; that is, that {A, 2, 3, 4, 5} is a straight, and so is {10, Jack, Queen, King, Ace}. Moreover, a hand that is an Ace-high beats a King-high, etc. The number of ways of getting a five card hand that is two pair from a standard deck of cards is (Q8) The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is
The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.
According to the statement
I have 10 starting cards, from Ace to 10, and 4 suits,
and by this way we get the 40 subsets and because of these subsets there is a probability becomes 40.
So, The probability of being dealt a five card hand that is two pair from a well shuffled standard deck of cards is 40.
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38 students are going on a field trip. parents will drive. each car can hold 4 students along with the driver. how many cars will be needed?
Answer:
8 cars :)
Step-by-step explanation:
1 car: 1 driver + 4 students = 5 people total
We must divide to solve :)
38/5 = 7 cars with 3 without a car.
Sine there is a remainder we will need 1 ore car so 8 cars altogether :)
Have an amazing day!!
Please rate and mark brainliest!!
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. 6 more than the cube of a number.
Answer:
Step-by-step explanation:
Comment
Start with the algebraic expression. Always do that x cubed means x^3 power or x * x * x.
Answer x^3 + 6
Solve the proportion.
3/6 = 7/d
To solve this proportion:
[tex]\frac{3}{6} =\frac{7}{d}[/tex]
Simplify 3/6, it reduces to 1/2
[tex]\frac{1}{2} =\frac{7}{d}[/tex]
Then do the Criss cross method
1d = 7 ×2
d=14
Hope it helps!
Answer:
d = 14
Step-by-step explanation:
We can use cross products to solve the proportion
3/6 = 7/d
3*d = 7*6
3d = 42
Divide each side by 3
3d/3 = 42/3
d = 14
(PLEASE HELP ASAP!!) Look at the diagram of the tennis court below. The diagram contains examples of line segments, angles, planes, and vertices. Write the geometric term that best describes each part of the tennis court.
A Tennis Court
a. Playing Surface
b. Corner of Serving Box
c. Baseline
d. Net
e. Intersection of Baseline and Side Line
The geometric terms which best describe each part of this tennis court are:
Playing surface ⇒ PlaneCorner of serving box ⇒ VertexBaseline ⇒ LineNet ⇒ PlaneIntersection of baseline and side line ⇒ Line.How to choose the geometric terms?In Geometry, there are various geometric terms and these include the following:
Point: it is used to represent any intersection at a point.Line (line segment): it is used to show the distance between endpoints.Vertex: it is used to represent a corner.Plane: it is used to represent a surface.In this context, we can logically deduce that the geometric terms which best describe each part of this tennis court are:
Playing surface can best be described by a plane.Corner of serving box can best be described by a vertex.Baseline can best be described by a line.Net can best be described by a plane.Intersection of baseline and side line can best be described by a line.Learn more about geometry terms here: https://brainly.com/question/17260558
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Answer:
a. plane
b. angle
c. line segment
d. plane
e. vertex or angle
Step-by-step explanation:
This is the CORRECT answer
This graph shows the solution to which inequality?
The graph shows the solution to inequality is; y > ¹/₃x - 2
How to interpret Inequality Graphs?From the given graph, we see that the line joining the two dotted coordinates is a dashed line and as such the inequality will be less than or greater than.
Now, If a line passing through two points, then the equation of line is;
y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)
Using the two given coordinates, we have;
y - (-3) = [(-1 - (-3))/(3 - (-3))](x - (-3))
y + 3 = (2/6)(x + 3)
y = ¹/₃x - 2
Since the related line is dashed and the shaded region is above the line, therefore the sign of inequality is >.
The graph shows the solution to inequality is;
y > ¹/₃x - 2
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For parallelogram RYFU, let N be the intersection point of the diagonals. Let RF = 7x-11 and NF = 2x+2. Find the measurement of EVERYTHING that you know, if possible.
The diagonals of parallelogram RYUF each measure 24 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Diagonals of parallelogram are congruent and bisect each other.
Point N is the intersection point of the diagonals of parallelogram RYFU. Hence, RF is the diagonal and N is the midpoint:
2 * NF = RF
2(2x + 2) = 7x - 11
x = 5
RF = 7(5) - 11 = 24
The diagonals of parallelogram RYUF each measure 24 units.
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A circular sheet of paper of radius 6 inches is cut into 3 equal sectors, and each sector is formed into a cone with no overlap. What is the height in inches of the cone
The height of the cone is 4√2 inches.
The circumference of the base of each cone will be the arc length of one of the sectors
= 2 [tex]\pi[/tex] (6) / 3
= 4 [tex]\pi[/tex] inches
So, the radius, r, of each cone (in inches) is given by :
4pi = 2 [tex]\pi[/tex] * r
4 = 2r
2 = r
Using the Pythagorean Theorem, the cone height, h, is given by :
h = √[ slant height^2 - radius^2 ]
= √ [ 6^2 - 2^2 ]
= √32
= 4√2 inches
In arithmetic, the Pythagorean theorem, or Pythagoras' theorem, is a essential relation in Euclidean geometry a few of the three facets of a right triangle. It states that the vicinity of the square whose facet is the hypotenuse is identical to the sum of the regions of the squares on the other two facets.
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I’m a football game the home team scored 2 times as many points as the visiting team, if the game ended with a total of 21 points. How many points did the visiting team score?
e.) Find the gradient of the line passes through the origin and point
[tex](2 \frac{1}{4} .4 \frac{1}{2} )[/tex]
What is the y coordinate of the line when x = 8? pls answer i will mark brainlest.
Answer:
y is x
Step-by-step explanation:
l don't know step by step explanation
what would not be a step in solving 18=2(4+x)
Step-by-step explanation
Well you gave no answer choices so here are the steps and maybe you can just find out which one isn't here :)
18=2(4+x) first multiply 2 into 4+x
18=8+2x then subtract 8 from the other side
10=2x divide both sides by 2
x=5
Best of luck <3
Find the Value of -3/7 ÷ 4
please answer fast
Answer:
Step-by-step explanation:
Marjorie and Blaine make chairs together. Marjorie builds the seat and Blaine independently sews the cushions to rest on top of them. It takes Marjorie 1 1/2hours to build the seat and Blaine 40 minutes to sew the cushion. How long would it take for them to make 10 chairs?
Making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.
How long does it take to make 10 chairs?The total time it takes Marjorie and Blaine to perform their respective tasks in building a chair is multiplied by 10 chairs, respectively. This time is known as their speed.
The resulting figures are summed to get the total time.
Data and Calculations:The total time it takes Marjorie to build a chair is 15 hours (1.5 hours x 10)
The total time it takes Baline to sew cushions per chair is 400 minutes (40 x 10) or 6 hours and 40 minutes.
Therefore, the total time to build 10 chairs is 21 hours, 40 minutes (15 hours + 6 hours and 40 minutes).
Thus, making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.
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help please!
| 2x^2 + 5x + 3 | > 0
solve the inequality
Factorize the quadratic.
[tex]2x^2 + 5x + 3 = (2x + 3) (x + 1)[/tex]
We have [tex]|ab| = |a||b|[/tex], so
[tex]|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0[/tex]
Now, both [tex]|2x+3|\ge0[/tex] and [tex]|x+1|\ge0[/tex] (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for
[tex](2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1[/tex]
So the solution to the inequality is the set
[tex]\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}[/tex]
Writing Exercises
297. Which method do you prefer to use when multiplying a trinomial by a binomial: the Distributive Property or the Vertical Method? Why?
Answer:
Hence we prefer the distributive method when multiplying trinomial by a binomial.
Step-by-step explanation:
Explanation
We have to explain when multiplying a trinomial by a binomial which method we prefer from the Distributive Property or the Vertical Method.We prefer the Distributive method because the method is the quickest than the vertical method methods as the vertical method has more steps than the distributive property also the vertical method is a bit complicated than the distributive method.At the local fair, 358 people waited in line for a boat ride. The boat can hold 8 people. How many trips will the boat have to take for everyone to get a ride? .