The polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 is; -3x² -4x +7.
Let the polynomial which must be added to 3x² +4x + 7 to obtain a sum of 0 be represented by P.
In essence;
P + 3x² +4x + 7 = 0.By subtracting 3x² +4x + 7 from both sides of the equation to obtain the value of P; we have;
P = 0 -3x² -4x +7.Ultimately, P = -3x² -4x +7.
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1/2 ÷ (-1/7) Answer in a mixed number
[tex]\sf{-3\displaystyle\frac{1}{2} }[/tex]
Solution:First, we need to flop the second fraction over.Then, we need to multiply the first fraction times the second fraction.In order to multiply fractions, we need to multiply the numerator of the first fraction times the numerator of the second fraction:[tex]\displaystyle\frac{1}{2} *-\frac{7}{1}[/tex][tex]-\displaystyle\frac{7}{2}[/tex]Now, let's convert the improper fraction into a mixed number.First, how many times does 2 go into 7? (evenly)The answer is 3.Now, multiply 3 times 2. We get 6.Subtract 7-6. We get 1.The denominator stays the same.Therefore, the answer is[tex]-3\displaystyle\frac{1}{2}[/tex]Hope it helps.
Do comment if you have any query.
Step-by-step explanation:
[tex] = \frac{1}{2} \div ( - \frac { 1}{7}) \\ [/tex]
Move the ( - ) sign forward
[tex] = - \frac{1}{2} \div \frac{1}{7} \\ [/tex]
[tex] = - \frac{1}{2} \times \frac{7}{1} \\ [/tex]
[tex] = - \frac{7}{2} \\ [/tex]
What type of sequence is shown: 120, 12, 1.2, 0.12
Answer: divide by 10
Step-by-step explanation: you divide the previous number by 10 to get the next number
Mary reduced the size of a painting to a
width of 5.4 in. What is the new height if it
was originally 46.5 in height and 32.7 in width?
Round to nearest tenth of an inch.
By finding the scale factor as a quotient of the two given widths, we will see that the new height is 7.7 in
How to get the new height?
We assume that the height and the width are reduced by the same scale factor.
Such that the scale factor is given by the quotient between the new width and the original width, so we have:
k = 5.4in/32.7in = 0.1651
Then the new height will be the original height times the above number, which gives:
H = 0.1651*46.5 in = 7.7 in
We conclude that the new height of the painting is 7.7 inches.
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-A rectangle tank has a length of 3m a breadth of 2m and a height of 8m what volume of water in the tank is half full
Answer:
24 [tex]m^{3}[/tex]
Step-by-step explanation:
Volume=l*b*h
as tank is half full so height of water will be 4m
and Voulme will be,
V=3*2*4=24 [tex]m^{3}[/tex]
while capacity of tank is,
V=3*2*8=48 [tex]m^{3}[/tex]
The volume of water in the tank, when it is half full, is 24 cubic meters.
What is volume?Volume in mathematics and physics refers to how much three-dimensional space is occupied by a substance or an object. It is a measurement of the overall volume of space contained inside a three-dimensional object's limits.
The volume of the rectangular tank is given by the formula:
V = l x b x h
where l is the length, b is the breadth, and h is the height of the tank.
Substituting the given values, we get:
V = 3m x 2m x 8m = 48 cubic meters
If the tank is half full, then the volume of water in the tank is:
Vw = (1/2) * V = (1/2) x 48 = 24 cubic meters
Therefore, the volume of water in the tank when it is half full is 24 cubic meters.
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#SPJ2
write the equation of the circle with a center at ( 2, -4 ) and a radius of 4
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{2}{ h},\stackrel{-4}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\\\\ [x-2]^2~~ + ~~[y-(-4)]^2~~ = ~~4^2\implies (x-2)^2~~ + ~~(y+4)^2~~ = ~~16[/tex]
PLEASE HELP!!!
Triangle DEF is similar to triangle ABC. What is the sequence of transformations that maps triangle ABC to DEF?
The sequence that maps ΔABC to ΔDEF are represented by three transformations: a horizontal and vertical translation and a counterclockwise rotation.
What transformations have been done to a obtain a resulting triangle?
According to Euclidean geometry, a transformation is rigid if and only if Euclidean distances are conserved for every point of the figure. It is to be noticed that there is more than one manner to obtain the resulting figure.
After a careful inspection both on the statement and on the figure, we conclude that the following sequence of transformations:
Translation of 2 units in the -x direction.Translation of 2 units in the -y direction.Rotation around the point D of 0.5π counterclockwise.To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538
What is the value of x in the equation
[tex] - \frac{2}{9} x = \frac{2}{5} [/tex]
Answer:
x = -1.8
Step-by-step explanation:
Given equation:
[tex]-\dfrac{2}{9} x = \dfrac{2}{5}[/tex]
Part I: Cancel the numerators in the equation (a/d = a/f ⇔ 1/d = 1/f)
[tex]\implies -\dfrac{2}{9} x = \dfrac{2}{5}[/tex]
[tex]\implies -\dfrac{1}{9} x = \dfrac{1}{5}[/tex]
Part II: Use cross multiplication (a/b = c/d ⇔ a × d = b × c) and simplify:
[tex]\implies -\dfrac{1}{9} x = \dfrac{1}{5}[/tex]
[tex]\implies -({x \times 5) = {1 \times 9}[/tex]
[tex]\implies -5x = 9[/tex]
Part III: Divide -5 to both sides of the equation:
[tex]\implies\dfrac{-5x }{-5} = \dfrac{9}{-5}[/tex]
[tex]\implies \boxed{x= \dfrac{9}{-5} = \dfrac{-9}{5} = -1.8}[/tex]
Therefore, the solution is [tex]x = -1.8[/tex].
Answer:
[tex] x = -\dfrac{9}{5} [/tex]
Step-by-step explanation:
[tex] -\dfrac{2}{9}x = \dfrac{2}{5} [/tex]
Multiply both sides by the reciprocal of -2/9 which is -9/2.
[tex] -\dfrac{9}{2} \times (-\dfrac{2}{9})x = -\dfrac{9}{2} \times \dfrac{2}{5} [/tex]
[tex] x = -\dfrac{18}{10} [/tex]
[tex] x = -\dfrac{9}{5} [/tex]
Here is the question
The value that would be obtained using the 5 midpoint rectangles of equal width to estimate the given Integral is; 33/100
How to partition integral?First of all, let us partition the interval [0, 1] as;
[0, 1/5] ∪ [1/5, 2/5] ∪ [2/5, 3/5] ∪ [3/5, 4/5] ∪ [4/5, 5]
Thus, the midpoints of the intervals which are the sample points are, respectively;
1/10, 3/10, 1/2, 7/10, 9/10
The integral is approximated by;
(0,1)∫x² dx = (5, n=1)Σf(x_n) Δx
where Δx is the difference between the partition endpoints, i.e.
Δx = (1 - 0)/5 = 1/5
and x_n is the midpoint of the nth partition.
Thus, we have;
(5, n=1)Σf(x_n) Δx = (1/5)[(1/10)² + (3/10)² + (1/2)² + (7/10)² + (9/10)²] = 33/100
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The school is planning to add a vegetable garden. The length of the garden is 13 feet. The width of garden is 9 feet. What is the perimeter of the garden?
I NEED THIS NOW
Answer:
44
Step-by-step explanation:
double both 13 and 9 then add the awnser together to get 44
A train travels 41 kilometers in 35 min. What is the speed in kilometers per hour ?
Step-by-step explanation:
[tex]distance = 41km[/tex]
[tex]time = 35min = \frac{35}{60} hr[/tex]
[tex]speed = \frac{distance}{time} [/tex]
[tex]speed = \frac{41}{ \frac{35}{60} } [/tex]
[tex]speed = \frac{41 \times 60}{35} [/tex]
[tex]speed = 70.286 \: or \: 70.3km\hr[/tex]
True or false -if the measure of an acute angle is x then its completely angle is (90 - x)
Answer:
False
Step-by-step explanation:
The measure of an acute angle is less than 90°
Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y
= 9? Explain your answer.
Answer:
Perpendicular
Step-by-step explanation:
Simplify 3x+9y=9 to 9y=-3x+9 and then to y=-1/3x+1
y=3x-7
and
y=-1/3x+1, 3 and -1/3 are negative reciprocals which makes these equations perpendicular.
explain pls
...................................
Answer:
C. 9
Step-by-step explanation:
This is the answer because of how the math works...Its really hard to explain how it works.
2) What type of equation is compound interest formula?
a)logarithmic
b)polynomial
c)exponential
d)linear
e) none of the choices
A compound interest formula is a type of exponential equation. That is option C
What are exponential equations?Exponential equations are those equations that has their variables as exponents. A typical example of this type of equation is the compound interest formula.
The compound interest formula is an exponential equation because the little sum invested as capital, once the interest is added, the balance will earn more capital during the next compounding period.
Therefore, a compound interest formula is a type of exponential equation.
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answer? i give brainlist
Answer:
Scale factor of 3
Work out the sheet here
164
to find:the unknown angle x.
solution:angle at a point= 360°
x= 360 - ( 164 + 90) (because that's a right angle)
x= 360 - 254
x= 106°
pls help me worth 50 points + brainliest
(i only can give brainliest if 2 PEOPLE answer)
Answer:
The answer would be four dresses.
Step-by-step explanation:
Step 1. Do 16 divided by 3.67
Step 2. Get the answer of 4.53...
Step 3. Round down because it's the number of whole dresses
Step 4. Get the answer of 4.
Hope this helps! Btw, I don't need Brainliest if the other person wants it.
Answer:
They can make 4 dresses
Step-by-step explanation:
Since it is 3.6667 yards per dress, and the amount they have is 16 yards, divide the amount they have by number of yards per dress to get slightly over 4. Since you can't make a percent of a dress, the answer would be 4.
I will give Brainliest!!!
A savings account was opened and not touched for 4 years. The amount of money in the account grew by a consistent percentage at the end of each year. Complete the missing values in the table.
TIMED PLEASE HELP!
Determine the equation of the line for the given information: Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line. a. m = 2; y intercept = (0, 4); y = 2 x + 4 b. m = negative 2; y intercept = (0, 4); y = negative 2 x + 4 c. m = negative 2; y intercept = (4, 0); y = negative 2 x + 4 d. m = 2; y intercept = (0, 4); y = 4 x + 2
Answer:
"Answer: A. m=2;y-int=(0,4);y=2x+4
Step-by-step explanation: I just finished the practice on edge and went back to check the answer. It's 100% correct, swear"
Step-by-step explanation:
Found this on Brainly, hope it helps? :)
Plot the vertices (-2, -8), (-2, 2), and (8,2).
What is the last vertex of the rectangle?
What is the area of the rectangle?
square units
Check the picture below.
2, 7, 14, 23, ?, 47
Answer:
34 is the missing number
Step-by-step explanation:
hope this helps:))
Which equation represents a line with a slope of -4
Answer:
y= -4x
Step-by-step explanation:
it will be more helpful to answer this question if the equations were provided.
write a linear equation in slope-intercept form. m=-3 and contains (0,2)
y=-3x-2
Solution:We have a point that the line passes through and its slope.Since the point has an x-coordinate of 0, this point is the line's y-intercept (2)Slope-intercept form: y=mx+bm -> slopeb -> y-interceptPlug in the values:y=-3x-2Hope it helps.
Do comment if you have any query.
Answer:
[tex]\Longrightarrow: \boxed{\sf{y=-3x+2}}[/tex]
Step-by-step explanation:
The slope-intercept form is used to write linear equations.
Slope-intercept form:
[tex]\Longrightarrow: \sf{y=mx+b}[/tex]
The m represents the slope.
The b represents the y-intercept.
The slope is -3.
The y-intercept is 2.
(0,2)x1=0y1=2y=-3x+2
Therefore, the slope-intercept form is y=-3x+2, which is our answer.I hope this helps! Let me know if you have any questions.
my sis needs help asap
Answer:
B. 7
Step-by-step explanation:
7 × n = 42 + 7
7n = 49
n = 49/7
n = 7
______
Hope it helps ⚜
[tex]7 \times n = 42 + 7[/tex]
to find:what the "n" represents
solution:[tex]7 \times n = 42 + 7[/tex]
[tex]7 \times n = 49[/tex]
[tex]n = \frac{49}{7} [/tex]
[tex]n = 7[/tex]
therefore, "n" represents 7.
answer= option B
When x^2 + bx + 2 is divided by
X + 3, the remainder is 5. find the value of b
Answer:
b = 2
Step-by-step explanation:
Let f(x) = x² + bx + 2,
[tex]f( - 3) = 5 \\ {( - 3)}^{2} - 3b + 2 = 5 \\ 11 - 3b = 5 \\ 3b = 6 \\ b = 2[/tex]
write A number in each box that would create an equation that has an infinite number of solutions
4(3x+6)-x=_____x+_____
[tex]\huge\text{Hey there!}[/tex]
[tex]\\\large\text{ORIGINAL EQUATION: }\\\mathsf{4(3x + 6) - x}\\\large\text{DISTRIBUTE 4 WITHIN the PARENTHESES}\\\mathsf{\rightarrow 4(3x) + 4(6) - x}\\\mathsf{\rightarrow 12x + 24 - x}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{\rightarrow 12x + 24 - 1x}\\\mathsf{\rightarrow 11x + 24}\\\\\\\huge\text{Therefore, your answer: \boxed{\mathsf{11\bold{x} + 24}}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]What is 5/21 expressed as a decimal?
0.238095⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
0.238095⎯⎯⎯⎯⎯⎯
0.238095⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
0.238095
Write an expression which can
be used to describe the area in
square units of a rectangle that
has a length of 5x3y5z2 units
and a width of 3x2yz4 units.
Answer:
15x^2 6y^2 5z^6
Step-by-step explanation:
area = length x width
area = 5x3y5z^2 * 3x2yz^4
i dont get this please help
Step-by-step explanation:
the side lengths of the base (the ground triangle) are equal. that means every ground side length is 8 in.
and that also makes the 3 triangles of the side areas of the pyramid equal.
so, for the surface area of the pyramid we need to calculate the area of one side area triangle, multiply it by 3 (as we have 3 side areas) and add the area of the ground triangle.
the area of a triangle is
baseline × height / 2
so, for a side area triangle we get
8 × 14 / 2 = 8×7 = 56 in²
all 3 side areas together are then
3×56 = 168 in²
the ground area triangle is then
8 × 6.9 / 2 = 4 × 6.9 = 27.6 in²
so, the total surface area of the pyramid is
168 + 27.6 = 195.6 in²
Help pleaseeee
Which combination of three-dimensional shapes could be used to best model the table shown below?
A. 6 rectangular prisms and 1 cube
B. 4 right triangular prisms and 1 cube
C. 2 rectangular prisms and 2 right triangular prisms
D. 3 right triangular prisms and 2 rectangular prisms
Answer:
There are two rectangular prisms and two right triangular prisms
Step-by-step explanation:
The two right-angle triangular prisms can be found on the right and left. One rectangular prism can be found in the middle between those two triangular prims, and the other can be found at the top. Voila.