Answer:
x=12
Step-by-step explanation:
you have to group the like terms in order to solve this equation, this will result to;
5/2x-3/4x=14+7
1.75x/1.75=21/1.75
x=12
I hope this helps
Required solution :
The given equation is,
(5 / 2)x - 7 = (3 / 4)x + 14⇒ 5x - 14 / 2 = (3 / 4)x + 14
Transposing 14 from R.H.S. to L.H.S.,
⇒ (5x - 14 / 2) - 14 = (3/4)x
⇒ 5x - 14 - 28 / 2 = 3x / 4
⇒ 5x - 42 / 2 = 3x / 4
⇒ 4 (5x - 42) / 2 = 3x
⇒ 4 × (5x - 42) / 2 = 3x
⇒ 2 (5x - 42) = 3x
⇒ 10x - 84 = 3x
⇒ 10x - 3x = 84
⇒ 7x = 84
⇒ x = 84 / 7
⇒ x = 12
Therefore, option d that is 12 is correct.
what is the area of a rectangle with L= 6.8 cm and W= 4.5 cm
Answer:
30.6 cm
Step-by-step explanation:
length times width gives you the area of a normal 2d triangle
Which is the graph of f(x) = -(x + 3)(x + 1)?
8
4
22
2
2
2
-8
6
х
2
6 4
6
8
-6
4
X
2
-2
-2
19
2
Answer:
It's the second option
Step-by-step explanation:
Graph for -(x+3)(x+1)
The graph of f(x) = -(x + 3)(x + 1) is the option B.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = -(x + 3)(x + 1)
Simplifying,
f(x) = - (x² + 3x + x + 3)
f(x) = -x² - 4x - 3
This is a quadratic function, the graph of which is a parabola.
Leading coefficient is negative, so the parabola opens downward.
Options are either A or B.
x coordinate of the vertex of a parabola of equation ax² + bx + c is -b/2a.
Here x coordinate = -(-4) / (2 × -1) = -2
The vertex of first graph is (2, 1) and that of second graph is (-2, 1).
The correct option is second graph.
Hence the second graph is the graph of the given function.
Learn more about Quadratic functions here :
https://brainly.com/question/12723502
#SPJ7
16. PLEASE HELP ME
Solve the equation by factoring.
z2 - 6z - 27 = 0
A. z = 3 or z = 9
B. z = –3 or z = 9
C. z = –3 or z = –9
D. z = 3 or z = –9
Answer:
B
Step-by-step explanation:
z^2 - 6z - 27 = 0
(z - 9)(z+3) = 0
z - 9 = 0 z + 3 = 0
z = -3, 9
*PLEASE ANSWER* What is the value of d if the volume of Prism f is 99 cubic units?
Answer:
d = 3.46 units
Step-by-step explanation:
The diagram is a rectangular prism.
volume of a rectangular prism = Length × width × height
height = 5.2 units
volume = 99 units³
length = 5.5 units
width = d
Now we need to find the width which is d
volume = L × w × h
99= 5.5 × d × 5.2
99 = 28.6d
then u divide both sides by 28.6
d = 99/28.6
d = 3.4615384615
d = 3.46 units
PLz mark brainliest!
Please help with this question!!!!!
===================================
Explanation:
Start with the parent function [tex]y = |x|[/tex]
Replacing x with x-1 shifts the graph 1 unit to the right
Tack a -1 at the end to get [tex]y = |x-1|-1[/tex] which will shift everything down 1 unit.
The vertex started at (0,0) and moved to (1,-1)
Complete the tables, and the graph… HELPPP
Answer:
answer is - 1
Step-by-step explanation:
- x + y = 3
x = 4
- ( - 4 ) + y = 3
4 + y = 3. take 4 to the right
y = 3 - 4
y = - 1
I hope this answers your question.
PLS HELP ON THIS QUESTION I WILL MARK YOU BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
First we need the formula to solving a cone :
[tex]V=\pi r^2\frac{h}{3}[/tex]
We substitute pi as 3.14!
62.8 is the answer
Why?
3.14 x 5 squared x 12/3 is 62.8
Therefore the answer is 62.8
Using a sample of 60 undergraduates, Dr. Hotchkins discovers a negative correlation between stress and emotional well-being. While looking at a scatterplot of the data, Dr. Hotchkins realizes there are 4 outliers in the data, all for individuals with extremely high scores on stress and extremely high scores on well-being. What is the effect of these outliers on the correlation
Answer and explanation:
A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa
An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)
Em um posto de combustível, o litro da gasolina estava custando R$2,40.Um cliente gastou R$72,00 para encher o tanque de seu carro. O valor do litro da gasolina sofreu 2 aumentos sucessivos,ambos de 10%. Quando o mesmo cliente gastara para encher o tanque do seu carro, após esees aumentos
Answer:
english i think u need hekp
EXERCISE 1. Find the equation of the straight line through the point (2, 3) whose intercept on s-axis is twice that on y-axis.
can someone try this
Answer:
no I can't but I hope someone can
What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11
Answer:
mateweew ans is 12
The mode is the value that appears most frequently in a data set.
and 12 repeats twice other once so anw is obv 12
Answer: 12
Step-by-step explanation:
Please help! I’ve tried every site and nothing has helped
The answer is 11.8
Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
Which statement about this system of equations is true?
5
A.
The system has no solution.
The system has a unique solution at (0,0).
B.
C. The system has a unique solution at (0,3).
D. The system has infinitely many solutions.
Answer:
A
Step-by-step explanation:
No solution because the line will never intersect each other (cuz the gradient is the same)
Find the coordinates of the image of R (2, 1) after the translation (x, y) → (x, y − 5).
Answer:
(2,-4)
Step-by-step explanation:
We subtract 5 to the y-coordinate, so we have (2,-4)
5. If A, B and C are any three points on a line and B lies between A and C, then prove that AB + BC = AC.
Answer:
B IS THE MID POINT
Step-by-step explanation:
If b lies between AC iy means b is de half
therefore a+b+c=ABC which is the straight line
Please answer quickly
Answer:
answer what
Step-by-step explanation:
hihihi
hihi
hi
hi
vhi
hi
hi
hi
hihi
hi
hi
hi
hi
hi
ILL GIVE BRAINLIEST!!!! HELP
Two planes have a cruising speed of 750 km/h without wind. The first plane flies for 13 hours against a constant headwind. The second plane flies for 11 hours in the opposite direction with the same wind (a tailwind). The second plane flies for 250 km less than the first plane. Determine two equations that could be used to solve for the wind speed,w, and the distance traveled by the first plane,d.
1. (750+w)(13)=d (750+w)(11)=d+250 2. (750−w)(13)=d (750+w)(11)=d−250 3. (750+w)(13)=d (750−w)(11)=d−250 4. (750−w)(13)=d (750−w)(11)=d+250
Answer:
The correct option is;
2. (750 - w)(13) = d (750 + w)(11) = d - 250
Step-by-step explanation:
The items with information given are;
The cruising speed of the planes = 750 km/h
The first plane flies against a constant headwind = w
The second plane flies against a constant tailwind in magnitude to the headwind
The time duration of flight of the first plane = 13 hours
The time duration of flight of the second plane = 11 hours
The distance flown by the second plane = The distance flown by the first plane - 250 km
When we take the headwind magnitude as, w and the distance flown by the first plane as d, we have;
Speed of flight of the first plane = 750 - w
Speed of flight of the second plane = 750 + w
Therefore, the distance flown by the first plane in 13 hours is given as follows;
(750 - w) × (13) = d
Then we have;
The distance flown by the second plane in 11 hours is (750 + w) × (11) = d.
The correct option is (750 - w)(13) = d, (750 + w)(11) = d - 250
pls help pls pls pls pls
Answer:
B' - (3,1)
C' - (3,8)
D' - (6,-1)
Step-by-step explanation:
a person has 2 balls, a second one had (2)^2 = 4 balls, a third had (4)^2 = 16, if it continues the same way, how many balls will the tenth person have?
Wll mark brainliest whoever answers it satisfactorily!
¿cuántas raíces cuadradas tiene el número 0?
Answer:
one
Step-by-step explanation:
Zero has one square root which is 0.
Negative numbers don't have real square roots since a square is either positive or 0.
Add this matrix to find the answer.
Answer:
[tex]\huge\boxed{Option \ 2:\left[\begin{array}{ccc}6&1\\1&5\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&0\\-1&3\end{array}\right] +\left[\begin{array}{ccc}5&1\\2&2\end{array}\right][/tex]
Adding both the corresponding elements
[tex]\left[\begin{array}{ccc}1+5&0+1\\-1+2&3+2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&1\\1&5\end{array}\right][/tex]
Simplify the expression (x)^3(x^3y)^2
A) x^9y^2
B) -x^6y^2
C) x^5y^2
D) -x^9y^2
Answer:
A)
Step-by-step explanation:
[tex](a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}[/tex]
Determine the minimum rotation (in degrees) which will carry the following figure onto itself ( where all sides and verticles will match up). Round to the nearest tenth if necessary.
Answer:
360°
Step-by-step explanation:
The figure is irregular which means it must be completely rotated to have matching sides and vertices. A full rotation is equal to 360°.
A hobby store prices model train track using a proportional relationship between the length of track (in inches) and the cost in dollars.
If 6.4
6
.
4
inches of track costs $16
$
16
, what is the constant of proportionality?
Answer:
If... 6.4 inches : 16 dollars
Then... 32 inches = 80 dollars.
And, 1 inch of track = 80/32 dollars.
80/32 = 2.5.
So, the answer is: 1 inch of track costs 2.5 dollars.
The constant of proportionality is $2,50.
The equation used to represent direct proportionality is: y = kx
Where:
y = dependent variable
x = independent variable
k = constant of proportionality
Here, the dependent variable is the cost of the track. The independent variable is the length of the tracks.
$16 = 6.4k
k = 16 / 6.4 = $2.5
A similar question was answered here: https://brainly.com/question/17033082
4(6a + 2b^2) - 1/3 (27b^2 - 15a)
if a = -2 and b = 3
Answer:
[tex]4(6a + 2b^2) - 1/3 (27b^2 - 15a)[/tex]
a = -2
b = 3
[tex]4\left(6\left(-2\right)+2^2\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]
Follow the PEMDAS order of operations:-
ParenthesesExponentsMultiplication or DivisionAddition or Subtraction[tex]4\left(6\left(-2\right)+2^2\right)[/tex]
calculate within Parentheses
[tex]6\left(-2\right)+2^2[/tex]
[tex]2^{2} =4[/tex]
[tex]6(-2)=-12[/tex]
Add:-
[tex]-12+4=-8[/tex]
[tex]4\left(-8\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]
calculate within Parentheses:-
[tex]27\left(3\right)^2-15\left(-2\right)[/tex]
[tex](3)^{2} =9[/tex]
[tex]27*9=243[/tex]
[tex]243-15\left(-2\right)[/tex]
[tex]15(-2)=-30[/tex]
[tex]243-\left(-30\right)[/tex]
[tex]=273[/tex]
[tex]4\left(-8\right)-1/3\cdot \:273[/tex]
Multiply:-
[tex]4\left(-8\right)=-32[/tex]
[tex]-32-1/3\cdot \:273[/tex]
[tex]1/3*273=91[/tex]
[tex]=-32-91[/tex]
[tex]=-123[/tex]
OAmalOHopeO
Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
Answer:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
The sum of two consecutive cube numbers is 341.
Work out the two numbers.
Answer:
see attachement
Step-by-step explanation:
find the perimeter of the quadrant whose radius is 21cm
Answer:
75 cm
Step-by-step explanation:
∅=90° , r = 21 cm
Arc length= (2πr∅)/360
=(2π×21×90)/360
=33 cm
Perimeter= arc length + 2(radius)
=33+2(21)
=33 + 42
= 75 cm
If 2x3 – 4x2 + kx + 10 is divided by (x + 2), the remainder is 4. Find the value of k using remainder theorem. Please help :)
The polynomial remainder theorem states that the remainder of the division of a polynomial [tex]P(x)[/tex] by [tex]x-a[/tex] is equal to [tex]P(a)[/tex].
Therefore
[tex]P(-2)=4\\2\cdot(-2)^3 - 4\cdot(-2)^2 + k\cdot(-2) + 10=4\\-16-16-2k=-6\\-2k=26\\k=-13[/tex]