Answer:
2x^3-2x^2+6x
Step-by-step explanation:
The area of a rectangle is
A = l*w
A = ( x^2 -x+3) * (2x)
Multiply
A = x^2 *2x -x*2x +3 *2x
A = 2x^3-2x^2+6x
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path?
Answer:
8
Step-by-step explanation:
If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.
Hope that this helps!
From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.
Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.
Coordinate, is represented as the values on the x-axis and the y-axis of the graph.
Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
= 8
Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.
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Short Answer Note: Your teacher will grade your responses to questions 4-8 to ensure you receive proper credit for your answers. 4. Find the value of k. The diagram is not to scale. (I point) I need the answer as soon as possible
illustrate the solution of the inequality ( x - 5) ( x + 5)≥ 0. on the number line
Answer: The diagram is shown below
==============================================================
Explanation:
If you graphed y = (x-5)(x+5) on the xy grid, then you'd see a parabola forming. This parabola has x intercepts at -5 and 5. The parabola opens upward.
If x < -5, then (x-5)(x+5) is positive. Let's say x = -6
(x-5)(x+5)
(-6-5)(-6+5)
(-11)(-1)
11
So if x = -6, then y = (x-5)(x+5) becomes 11 which is positive. If you picked any other value less than -5, then (x-5)(x+5) is positive.
Similarly, if x > 5, then (x-5)(x+5) is also positive for similar reasoning. Try x = 6 to see what happens. The actual value itself doesn't matter. All we care about is if the result is positive or negative.
It's only when -5 < x < 5 that (x-5)(x+5) is negative. Consider x = 0 which is between -5 and 5
Plugging x = 0 leads us to
(x-5)(x+5)
(0-5)(0+5)
(-5)(5)
-25
Showing that (x-5)(x+5) is negative on the interval -5 < x < 5
---------------------------------------------
Going back to the original inequality, we want to know when (x-5)(x+5) is positive or 0
We found that (x-5)(x+5) is positive when x < -5 or when x > 5
(x-5)(x+5) is equal to zero when x = -5 or x = 5
So overall, the solution we want is [tex]x \le -5 \ \text{ or } \ x \ge 5[/tex]
To graph this on a number line, we plot closed filled in circles at -5 and 5. Then we shade everything that is not between these two circles (so we shade everything except the interval -5 < x < 5).
The graph is below.
At Marie's Book and Music Store, 7/20 of the sales come from
books, 6/20 of the sales come from music and 3/20 of the sales
come from video games.
What fraction represents the portion of sales from books, music,
and video games?
two rectangles have a scale factor of 4:1. If the area of the larger rectangle is 156cm^2, what is the area of the smaller rectangle?
A. 26.75 cm^2
B. 31 cm^2
C. 9.75 cm^2
D. 39 cm^2
Answer:
c=9.75cm^2
Step-by-step explanation:
156/16 because you are deivding each side by 4 and 4x4=16 and the area is 156
Solve 5x2 = 180 algebraically.
Answer:
x = ±6
Step-by-step explanation:
5x^2 = 180
Divide each side by 5
5x^2/ 5 = 180/5
x^2 = 36
Take the square root of each side
sqrt(x^2) = ± sqrt(36)
x = ±6
Answer: x = 6 or x = -6
Step-by-step explanation: First, isolate the x squared by dividing both sides by 5 to get x² = 36. Now, since x is squared, we simply take the square root of both sides of the equation to get x by itself.
When we take the square root of both sides of an equation,
we must always make sure to use plus or minus!
So x = ±5 and you can write your answer as the solution set {6, -6}.
please help I will give brainlist
Answer:
Your answer will be B
Step-by-step explanation:
Because you find the difference between 14 and 22 or the difference between 22 and 30 or the difference between 30 and 38. and so on then it will be 8
You then say ok 8 times x so for example 8×1 = 8 then you say ok 22 - 8= 22. So it will be 8x+14...
I hope this helped if not tell me please....❤
Answer: Option B (y=8x+14)
Step-by-step explanation:
To solve these kind of question we just simply keep on inserting the values of x and if we get the required value of y that is in the table that equation is our answer, For example lets take Option A,
y = 8x
If we insert x = 0 we get,
y = 8(0)
y=0
but in the table it says we get 14 so option A is incorrect
Like this we keep checking for more values and all the values of x satisfy our equation in Option B like this,
y=8x+14
y=8(0)+14
y=14
y=8x+14
y=8(1)+14
y=8+14
y=22
y=8x+14
y=8(2)+14
y=16+14
y=30
and so on. Now your answer would be Option B.
THE CREDIT GOES TO (IjlalHashmi)
Jaclyn used the slope formula to find the slope of the line through the points given in the table.
A 2-column table with 2 rows. Column 1 is labeled x with entries 0, negative 3. Column 2 is labeled y with entries 4, 0.
1. Point 1: (0, 4); Point 2: (negative 3, 0). 2. Slope = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction = StartFraction 0 minus 4 Over negative 3 minus 0 EndFraction = StartFraction negative 4 Over negative 3 EndFraction. 3. Slope = four-thirds.
In which step did Jaclyn make an error?
Answer: She didn't make an error.
Step-by-step explanation:
She just didn't I got it right.
Answer:
answer is D
Step-by-step explanation:
can some one pls help me with this i need help
Answer:
9/8 cup peanuts were used
The amounts are:
Correct
Correct
Incorrect
Which of these quadrilateral types must have all four sides congruent?
A. Rectangle, square
B. Parallelogram, rectangle, square, rhombus
C. Square, rhombus
D. Rectangle, square, rhombus
C. Square, a rhombus is the right answer.
What does it mean that all four sides are congruent?A rhombus is a parallelogram in which all four sides are congruent. Shaped like a diamond. A square is a parallelogram with four congruent sides and four right angles. In other words, squares are rectangles and diamonds.
Exactly all the shapes on the four sides are called squares. Each type of figure here is a square type. The lengths of the congruent sides are the same. If parallel sides are drawn as lines, they never intersect.
Two triangles are congruent If the corresponding sides have the same length and the corresponding angles are the same, then the two triangles are congruent.
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Someone help please struggling on this answer thank you so much!
Answer:
-x+8=6
Step-by-step explanation:
x+5-1(2x)+(-1)(-3)=6
x+5-1-2x+3=6
ans (-x+8=6)
x+8
A 5-pack of granola bars costs $3.55. What is the unit price?
Answer:
0.71 is the unit price
Step-by-step explanation:
all u gotta do is divide 3.55 by 5 to find out how much it cost each:)))
hope this helps!!!!
please mark brainiest<3
A jazz concert brought in $167,000 on the sale of 8,200 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
Answer:
x=3800, y=4400
Step-by-step explanation:
X+y=8200 equation 1
15x+25y=167000 equation 2
x=8200-y isolate x in equation 1
15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2
123000-15y+25y=167000
10y=44000
y=4400
solve for x by inserting y value into either equation.
x+y=8200
x+4400=8200
x=3800
Check answer:
15x+25y=167000
15(3800)+25(4400)=167000
57000+110000
167000=167000
Point G is located at (6, 2) on the coordinate plane. Point G is reflected over the y -axis to create point G^ prime . What ordered pair describes the location of G?
Answer:
The ordered pair that best describes the location of G' is (-6,2).
Step-by-step explanation:
Reflecting a point over the y-axis:
When a point (x,y) is reflected over the y-axis, it's x coordinate is multiplied by -1, while the y-coordinate stays the same. Thus:
(x,y) -> (-x,y).
Point G is located at (6, 2)
When reflected over the y-axis:
G'(-6,2).
The ordered pair that best describes the location of G' is (-6,2).
44
Match each ratio with its simplest form.
12:15
20:36
18:24
Pls answer ASAP I need to finish this today and I’m stuck
What is the measure of x?
Answer:
x = 10
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
4*x = 5*8
4x = 40
Divide by 4
4x/4 = 40/4
x = 10
Please help me find the answers
For the mean median mode range mm max q1
Everything has been explained in there
can you answer this please
Answer:
C
Step-by-step explanation:
y=mx+b where m =slope and b= y intercept
m=y-y/x-x or 3-1/1-0 or 2
B is where the line crosses the x axis or 1
So y=2x+1
A parking lot in the shape of a parallelogram has a length of
300 meters and a width of 150 meters. A scale drawing of the
Sarking lot has a length of 10 centimeters and a width of 5
centimeters
Answer:
C. 1 centimeter = 30 meters
[tex]10 \: cm = 300 \: m \\ 1 \: cm = ( \frac{1}{10} \times 300) \: m \\ = 30 \: m \\ \\ 5 \: cm = 150 \: m \\ 1 \: cm = 30 \: m[/tex]
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
B
Step-by-step explanation:
√256=16
√289=17
Answer:
b.√256 and √289 . play basketball
A child weighs 44 lbs. The physician orders a medication for 10 mg/Kg/day. What do you give per day? (Use 0.45 for your conversion
Answer:
198 mg
Step-by-step explanation:
A child weighs 44 lbs.
Step 1
We convert the child's weight to kg
1 Ibs = 0.45kg
44 Ibs = x
Cross Multiply
1 Ibs × x = 44 Ibs × 0.45 kg
x = 44 Ibs × 0.45 kg/1 Ibs
x = 19.8 kg
Step 2
The physician orders a medication for 10 mg/Kg/day.
From the above statement, we know that:
10mg = 1 kg
Hence, what you give per day is calculated as:
1 kg = 10 mg
19.8kg = x
Cross Multiply
1 kg × x = 19.8kg × 10mg
x = 19.8kg × 10mg/1kg
x = 198mg
Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day
A wire attached to the top of a pole reaches a stake in the ground 20 feet from the foot of the pole and makes an angle of 58° with the ground. Find the length of the wire.
What is the best name for the figure with vertices at the following coordinates?
(0,0), (-1, 1), (6, 1), and (2, 0)
A.
rectangle
B.
square
C.
trapezoid
D.
rhombus
Answer: C) Trapezoid
Refer to the figure below. Note how sides BC and AD are parallel. We have exactly one pair of parallel sides, so that's why we have a trapezoid.
The figure with the vertices (0,0), (-1, 1), (6, 1), and (2, 0) is a trapezoid
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the coordinates of the figure be represented as ABCD
Now , the vertices of the figure is
A ( 0 , 0 ) , B ( -1 , 1 ) , C ( 6 , 1 ) and D ( 2 , 0 )
On plotting the coordinates in the graph , we get a trapezoid with
The longer base = BC
The shorter base = AD
So , the figure is a trapezoid
Hence , the vertices represents a trapezoid
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Mariya is solving the quadratic equation by completing the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
Mariya is solving the quadratic equation by completing the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
What is the value of A?
-20
3
4
5
Answer:
4
Step-by-step explanation:
just 4 -_-
4x^2-20x
=4(x^2-5x)
so the value is 4
By solving the quadratic equation, the value of A is 4
Option (3) is correct.
What is a quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.
Given quadratic equation
[tex]4x^{2} -20x+3=0[/tex]
⇒ [tex]4x^{2} -20x=-3[/tex]
By taking 4 as common in [tex]4 x^{2}[/tex] and 20x
⇒ [tex]4(x^{2} -5x)=-3[/tex]...................(1)
According to the question by solving the quadratic equation. Mariya got, [tex]A(x^{2} -5x)=-3[/tex] .....................(2)
By comparing equation 1 and 2 we can clearly see that A = 4
Hence, by solving the quadratic equation, the value of A is 4
Option (3) is correct.
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Hi, does anyone know the answer to this question? I’m bad at geometry and I’m struggling to answer it.
Answer:
QT = 16
Step-by-step explanation:
ΔQRS ~ ΔQRT
In similar triangles, corresponding angles are in same ratio.
[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]
Cross multiply,
QT * 25 = 20 * 20
[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]
PLEASE HELP. !!!!!!
the 4th option is “A translation 2 units left and 1 unit up
please help me immediately
Answer:
zero of a polynomial can be defined as the points where the polynomial become 0 as a whole.
An equation formed with variables, exponents and coefficient together with operation and an equal sign is called polynomial equation.
I hope this will help you
A circle has a radius of 18 ft and an arc length of 117. What is the measure of the central angle of
the circle?
3 / 1/3 dividend by 1 / 1/5
2) Simplify: 4/3+3/5+-3/5+-11/3
Answer:
[tex]\frac{4}{3}+\frac{3}{5}+-\frac{3}{5}+-\frac{11}{3}[/tex][tex]=\frac{4}{3}-\frac{11}{3}[/tex][tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex][tex]=\frac{4-11}{3}[/tex][tex]\:4-11=-7[/tex][tex]=\frac{-7}{3}[/tex][tex]\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-a}{b}=-\frac{a}{b}[/tex][tex]\frac{-7}{3}[/tex][tex]=-\frac{7}{3}[/tex]---------------------[tex]\boxed{\boxed{\underline{\textsf{\textbf{hope it helps}}}}}[/tex][tex]\boxed{\boxed{\underline{\textsf{\textbf{have a great day!}}}}}[/tex]