Answer: −x2+
5
x
=
7
Move
7
to the left side of the equation by subtracting it from both sides.
−
x
2
+
5
x
−
7
=
0
Once the quadratic is in standard form, the values of
a
,
b
, and
c
can be found.
a
x
2
+
b
x
+
c
Use the standard form of the equation to find
a
,
b
, and
c
for this quadratic.
a
=
−
1
,
b
=
5
,
c
=
−
7
Step-by-step explanation:
algebra 2 pls help ill give brainliest
Answer:
Step-by-step explanation:
Pedro's dining room is 5 metres wide and 6 metres long. pedro wants to install a new wood floor. it will cost $2.18 per square metre. how much will pedro's new floor cost?
Answer:
65.4
Step-by-step explanation:
5 × 6 = 30 square meter
30 × 2.18 = 65.4
Which figures are polygons?
x
Figure A
Select each correct answer.
Figure B
O Figure A
O Figure B
O
Figure C
O
Figure D
Figure C
Figure D
Answer:
The answer is figure A, B, C, D.
Step-by-step explanation:
Because, polygon means a shape with more then 1 side, and in your pic all of the figures have more than one side, so that's the answer.
If T(x) = x + 0.14x, then find the value of T(290).
Answer:
330.6
Step-by-step explanation:
You have to enter 290 for x.
T(290) = 290 + 0.14(290)
T(290) = 290 + 40.6
T(290) = 330.6
Factor the expression below.
36x² - 49
A. (6x + 7)(6x - 7)
B. (4x-7)(9x - 7)
C. (4x+7) (9x-7)
D. (6x-7)(6x-7)
Answer:
A. (6x + 7)(6x - 7)
Step-by-step explanation:
use difference of squares, which says a^2 - b^2 =(a+b)(a-b)
take the square roots of the two numbers, 6x and 7, and use them as a and b
Find the slope of the line that goes through (2, 8) and (5, 13).
Answer:
1 (2/3) or 1.66666667
Step-by-step explanation:
The slope of a line is found by using the equation :
y2 - y 1 / x2 - x1
So all we have to do is plug in our values given.
To find which belongs with which variable (such as x2 or y1), we do the following:
We know that the coordinates of a point are represented by (x, y). So we must assign a number to each points number.
(2, 8) will be x1 and y1.
(5, 13) will be x2 and y2
Plug in the values :
13 - 8 = 5
5 - 2 = 3
5 / 3 = 1 (2/3)
So, the slope of the line is 1.66666667 or 1 and (2/3)s
please help me solve this HCF
Answer:
(x+y)
Step-by-step explanation:
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Thus, the HCF is (x+y).
Answer:
(x + y)
Step-by-step explanation:
Factorizing both terms :
x² - y² = (x + y)(x - y)(x + y)² = (x + y)(x + y)The HCF of the terms is (x + y).
Which of the graphs below represents the equation 4x + y =7?
Answer:
Graph C
Step-by-step explanation:
Rearrange the terms so the equation is in slope-intercept form:
4x + y = 7
y = -4x + 7
The slope is -4, and the only graph that has a slope of -4 is graph C.
The mass of a box of bolts is 3/4 kg and the mass of a box of screws is 3/5 kg.
a Which box has the greater mass?
b Calculate the difference in mass between the 2 boxes.
Answer:
a) The mass of a box of bolts is greater.
b) 3/20 kg
Step-by-step explanation:
a) Firstly, you have to make the denominators of the two fractions the same (by finding the LCM of the denominators).
The LCM of 4 and 5 is 20.
Converting 3/4 into denominator 20:
[tex]\frac{3 * 5}{4 * 5}[/tex]
= 15/20
Converting 3/5 into denominator 20:
[tex]\frac{3 * 4}{5 * 4}[/tex]
= 12/20
Now comparing the numerators:
15 > 12
Hence,
3/4 > 3/5
b) Difference of the boxes can be done by subtracting the numbers with the same denominator:
15/20 - 12/20
= 3/20 kg
Hope this helps and feel free to give me brainliest! :)
Find the area of triangle DFG.
A. 5.3 square units
B. 34.3 square units
C. 420.0 square units
D. 424.2 square units
Answer:
34.3 square unit.
Step-by-step explanation:
[tex]calculate \: df \: using \: pythagoras \\ theorem \\ df {}^{2} = 8 {}^{2} + 6 {}^{2} \\ df {}^{2} = 64 + 36 \\ df {}^{2} = 100 \\ df = \sqrt{100} \\ df = 10 \\ calculating \: for \: the \: area \: of \: \\ angle \: \: dfg \\ using \: heros \: formular \\ \\ area = \sqrt{s(s - a)(s - b)(s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{10 + 11 + 7}{2} = \frac{28}{2} = 14 \\ area = \sqrt{14(14 - 10)(14 - 11)14(14 - 7)} \\ area = \sqrt{14(4)(3)(7)} = \sqrt{14 \times 84} \\ area = \sqrt{1176} = 34.2928564 \\ to \: the \: nearest \: tenth \: = 34.3[/tex]
Here it is stated that, side DE = 8 units, side EF = 6 units, side FG = 7 units and side GD = 11 units. We have to find area of ∆DFG, here we will use heron's formula which is given by:
Area of ∆ = √[s(s – a) (s – b) (s – c)]
Here a, b, and c are sides of ∆. We have;
b = FG = 7 unitsc = GD = 11 unitsa = DF = ?s = semi - perimeter = ?So firstly lets calculate a i.e DF by using Pythagoras theorem on ∆DEF:
➸ DF² = 8² + 6²
➸ DF² = (8 × 8) + (6 × 6)
➸ DF² = 64 + 36
➸ DF² = 100
➸ DF = √(100)
➸ DF = √(10 × 10)
➸ DF = 10 units
Now, lets calculate s i.e semi - perimeter:
s = (a + b + c)/2s = (10 + 7 + 11)/2s = 28/2s = 14 unitsNow, using heron's formula on ∆DFG to calculate its area:
➸ Area(∆DFG) = √[14(14 – 10) (14 – 7) (14 – 11)]
➸ Area(∆DFG) = √[14(4) (7) (3)
➸ Area(∆DFG) = √(14 × 4 × 7 × 3)
We can write it as;
➸ Area(∆DFG) = √(2 × 2 × 2 × 7 × 7 × 3)
➸ Area(∆DFG) = 2 × 7√(2 × 3)
➸ Area(∆DFG) = 14√(6)
➸ Area(∆DFG) = 14 × 2.449
➸ Area(∆DFG) = 34.28
➸ Area(∆DFG) = 34.3 square units (approx)
Hence, area of ∆DFG is option B. 34.3 square units.PLEASE ANSWER ASAP!!!!!!
What is the component form of the vector represented by 2a when a⃗ =<−2,3>?
Enter the answer in the boxes.
2a= <__,__>
The complete question is
"What is the component form of the vector represented by 2a when a =⟨−2,3⟩?"
The Component form of the vector represented by 2a is (-4,6)
What is the component form of a vector?The component form of a vector is represented by (x, y) that has gone x units left to the origin and y units up from the origin.
Given, a=(-2,3)
By using scalar multiplication,
2a = (2(-2), 2(3))
2a = (-4,6).
Therefore the component form of 2a=(-4,6)
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The graphs below are both absolute value functions. The equation of the red
graph is f(x) = xl. Which of these is the equation of the blue graph, g(x)?
a. g(x)=|x-2|
b.g(x)=|x+2|
c. g(x)=1/2|x|
d. g(x)=2|x|
Answer:
c
Step-by-step explanation:
Step 1: We know that Angle A B C Is-congruent-to Angle F G H because all right angles are congruent. Step 2: We know that Angle B A C Is-congruent-to Angle G F H because corresponding angles of parallel lines are congruent. Step 3: We know that Line segment B C is-congruent-to line segment G H because it is given. Step 4: Triangle A B C Is-congruent-to Triangle F G H because of the
Triangles FGH and ABC are congruent because of the: AAS congruence theorem.
What is the AAS Congruence Theorem?
The AAS congruence theorem states that when two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in another triangle, then both triangles are congruent.
In the proof given, it is established that both triangles have two corresponding congruent angles, and also, BC ≅ GH which are non-included sides.
Therefore, both triangles are congruent because of the AAS congruence theorem.
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I need help please help me
Answer:
It's the third one
Step-by-step explanation:
The cube root of 1/1000 is 1/10.
The cube root of c^9 is c^3.
The cube root of d^12 id d^4.
When you are doing to roots of variables, just divide :)
9/3 = 3
12/3 = 4
can someone please help me
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: f(0) = -3 [/tex]
[tex]\qquad \tt \rightarrow \: f(2) = 1[/tex]
[tex]\qquad \tt \rightarrow \: f(4) = 1 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
F(x) represents the value of y on curve for given value of x
[tex] \textsf{\large First -} [/tex]
[tex]\qquad \tt \rightarrow \: f(0) =( 0) {}^{2} - 3[/tex]
[ since 0 < 2 ]
[tex]\qquad \tt \rightarrow \: f(0) = 0 {}^{} - 3[/tex]
[tex]\qquad \tt \rightarrow \: f(0) = - 3[/tex]
[tex] \textsf{\large Second} [/tex]
[tex]\qquad \tt \rightarrow \: f(2) = (2) {}^{2} - 3[/tex]
[ since 2 = 2 ]
[tex]\qquad \tt \rightarrow \: f(2) = 4{}^{} - 3[/tex]
[tex]\qquad \tt \rightarrow \: f(2) = 1[/tex]
[tex] \textsf{\large Third -} [/tex]
[tex]\qquad \tt \rightarrow \: f(4) = - 4 + 5[/tex]
[ since 4 > 2 ]
[tex]\qquad \tt \rightarrow \: f(4) = 1[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Point G is on line segment FH. Given FH=4x+8,FH=4x+8, FG=x,FG=x, and GH=5x,GH=5x, determine the numerical length of \overline{GH}. GH .
The numerical length of GH is 20.
Given, FH=4x+8, FG=x and GH=5x.
We need to determine the numerical length of GH.
What is a line segment?In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.
Given Point G is on the line segment FH, then FG + GH = FH.
Now, substitute the given values into the formula as shown:
x + 5x = 4x + 8
6x = 4x + 8
6x - 4x = 8
2x = 8
x=4
To get the length of GH substitute x=4 for 5x
That is, GH = 5(4)= 20
Hence, the numerical length of GH is 20.
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find lim x->2 for f(x)=
{2x+1, x greater than or equal to 2
{x^2, x>2
a. 5
b. 4
c. 5 or 4
d. dne
LHL in not equal to RHL , Therefore the limit does not exists , Option D is the answer.(none)
What is the limit of a function ?The limit of a function at a certain point is the value that the function approaches as the argument of the function approaches the same point.
It is given that
lim x->2 for f(x)
[tex]\lim_{x \rightarrow 2^-}f(x) = \lim_{x\rightarrow 2^+}f(x)[/tex]
f(x) = 2x+1 x ≤2
f(x)= x² , x >2
When both the function tends to 2
Left Hand Limit
f(x) = 2 *2 +1
f(x) = 5
Right Hand Limit
f(x) = x² ,
f(x) = 4
LHL in not equal to RHL , Therefore the limit does not exists.
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Match each expression with its value 2,-9,-1, or undefined
G(-0.0001)
G(0)
G(0.0001)
G(9)
By looking at the graph of the piecewise function, we can see that:
G(-0.001) = -9G(0) = -1G(0.0001) = -1G(9) is not defined.How to evaluate the piecewise function?
On the graph, we have a piecewise function, which we want to evaluate in some different values.
First we have x = -0.0001
This value belongs to the interval (-5, 0), and by looking at the graph, you can see that the function on that interval is equal to -9, then:
G(-0.0001) = -9
x = 0
x = 0 belongs to the interval [0, 9). On that interval the function values -1. (x = 0 belongs to that interval because we have a closed dot). Then we conclude
G(0) = -1
x = 0.0001
This value also belongs to the interval [0, 9)
Then G(0.0001) = -1
Finally, x = 9.
If you look at the domain of the function, you can see that there is an open dot at x = 9.
This means that x = 9 does not belong to that domain, so:
G(9) is not defined.
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What is the range of the translated function? {y|y < 0} {y|y ≥ 0} {y|y is a natural number} {y|y is a real number}
The Range of the function is {y|y is a real number} , Option D is the correct answer
What is Range ?Range of a function is all the value a function can obtain.
From the figure it can be seen that the graph is moving slowly in either direction.
It extends from -∞ to +∞ ,
Therefore , {y|y is a real number} , Option D is the correct answer.
The complete question is
The graph shows a vertical translation of y = ³√x
What is the range of the translated function?
{y|y < 0}
{y|y ≥ 0}
{y|y is a natural number}
{y|y is a real number}
The image of the translated function is attached.
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what will be the exponent of ten in quotient
Answer: 8
Step-by-step explanation:
We know that:
[tex]\frac{10^{12}}{10^{4}}=10^{12-4}=10^{\boxed{8}}[/tex]
Hey can I have some help with this. Just the answer is fine
Step-by-step explanation:
4.500 mm³ → cm³
1 cm³ = 1.000 mm³
= 4.500 ÷ 1.000
= 4,5 cm³ IS THE ANSWER
Find a rational number between -1/3 and 1/2
Answer:
1/6
Step-by-step explanation:
Rational numbers between two rational numbers:
First find the Least Common Denominator for 2 and 3Then find equivalent fractions with the LCD.LCD of 2 and 3 = 6
[tex]\sf \dfrac{-1}{3}=\dfrac{-1*2}{3*2}=\dfrac{-2}{6}\\\\\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}[/tex]
[tex]\sf Rational \ number \ between \ \dfrac{-2}{6} \ and \ \dfrac{3}{6} \ is \ \bf \dfrac{1}{6}[/tex]
B varies inversely with c. when b is 2, c is 8. find the value of c when b is 5.
Answer:
3.2
The value of C when B is 5 is 3.2
Step-by-step explanation:
If f(x) = 2x^2+3 and g(x)= 5x, evaluate the following: a. f(g(x)) b. g(g(3)) c. g(f(-2))
Answer:
A = 50x^2+3
B = 75
C = 55
Step-by-step explanation:
[tex]f(x)=2x^2+3\\g(x)=5x[/tex]
A. f(g(x))
[tex]2(5x)^2+3\\2(25x^2)+3\\=50x^2+3[/tex]
B. g(g(3))
[tex]5(5(3))\\5(15)\\=75[/tex]
C. g(f(-2))
[tex]g(2(-2)^2+3)\\g(8+3)\\g(11)\\5(11)\\=55[/tex]
Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
I just need the equations and answer for each part please
The value of pi determined is same when used the circumference formula and the formula of area.
What is Circle ?A circle is a round shaped figure , whose all the point lie on same plane.
It is given that
The value of pi is about 3.14, and it is the same when using both the area and circumference.
The circumference is found by
Circumference = π * diameter
For circle A:
25.12 = π * 8
π = 3.14
For circle B:
9.42 = π * 3
π = 3.14
The area is given by
Area = π * diameter² / 4
For circle A:
50.24 = π * (8²)/4
π = 3.14
For circle B:
7.065 = π * (3²)/4
π = 3.14
The value of pi is about 3.14,
The value of pi determined is same when used the circumference formula and the formula of area.
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LCM of 18 , 25 , 35, 40 ,80 81 , and 72
Answer:
the LCM of 18 25 40 80 81 and 72 is 226800
i hope this helps you
Step-by-step explanation:
by which method
prime factorization , division or defination method
Does someone mind helping out with this ?
Question 17 of 25
You need to solve a system of equations. You decide to use the elimination
method. Which of these is not allowed?
3x-2y=7
3x+4y=17
Equation 1
Equation 2
OA. Subtract equation 2 from equation 1.
OB. Subtract the left side of equation 2 from the left side of equation
1.
OC. Multiply equation 1 by 2. Then add the new equation to equation 2.
Answer:
The only methods allowed are
- "Subtract equation 2 from equation 1," and "Multiply equation 1 by 2. Then add the new equation to equation 2"
-
Step-by-step explanation:
Subtract Eq 2 from Eq 1:
3x-2y=7
-3x-4y=-17
-6y = -10
y = (5/3)
Use y =(5/3) to solve for x in both equations.
x=(31/9)
Subtract the left side of equation 2 from the left side of equation No, this is not a legal operation.
Multiply equation 1 by 2. Then add the new equation to equation 2 Yes, this works. Instead of solving for y first, this method solves for x, which can then be used to find y:
2(3x-2y=7)
6x-4y=14
3x+4y=17
9x = 31 (y is eliminated)
x = (31/9)
Now use this to find y in either equation:
3x-2y=7
3x-2(31/9)=7
y = (5/3)
3x-1=2(x+34) in inches=feet. inches
Answer:
-69
Step-by-step explanation:
inches:-69
-5 9/12 (-5 3/4 clearer) feet
Explanation in detail:
Write the equation down and distribute it.
3x - 1 = 2(x + 34)
3x - 1 = 2x + 68
Remove the variable on one side first (it makes solving the equation less complicated.)
3x - 1 = 2x + 68
-3x -3x
-1 = -x + 68
On all sides, subtract 68.
-1 = -x + 68
-68 -68
-69 = x
I'm guessing the answer in feet and inches is...
inches:-69
-5 9/12 (-5 3/4 simplified) feet
consider the series 1/4 1/16 1/64 1/256 which expression defines sn
This is a geometric progression
Common ratio=1/16÷1/4 =1/4first term =a=1/4So
The general formUla is
[tex]\\ \rm\Rrightarrow a(n)=ar^{n-1}[/tex]
[tex]\\ \rm\Rrightarrow a(n)=\dfrac{1}{4}\left(\dfrac{1}{4}\right)^{n-1}[/tex]
Answer:
[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
Step-by-step explanation:
Series: the sum of the elements of a sequence.
Therefore, as the numbers have been defined as a series and we need to find [tex]S_n[/tex]:
[tex]\dfrac{1}{4}+\dfrac{1}{16}+\dfrac{1}{64}+\dfrac{1}{256}+...[/tex]
First determine if the sequence is arithmetic or geometric.
If it is an arithmetic sequence, there will be a common difference between consecutive terms.
if it is a geometric sequence, there will be a common ratio between consecutive terms.
From inspection of the terms, we can see that there is a common ratio of 1/4, as each term is the previous term multiplied by 1/4, so it is a geometric series.
Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Given:
[tex]a=\dfrac{1}{4}[/tex]
[tex]r=\dfrac{1}{4}[/tex]
Substitute the values of a and r into the formula:
[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{1-\frac{1}{4}}[/tex]
[tex]\implies S_n=\dfrac{\frac{1}{4}\left(1-\left(\frac{1}{4}\right)^n\right)}{\frac{3}{4}}[/tex]
[tex]\implies S_n=\dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
Therefore:
[tex]\displaystyle \lim_{n \to \infty} \dfrac{1}{3}\left(1-\left(\dfrac{1}{4}\right)^n\right)[/tex]
