Answer:
x=19.3333
Step-by-step explanation:
Cross multiply
6(x-3)=14*7
6x-18=98
6x=98+18
6x=116
x=19.3333
Graph the solution to the following linear inequality in the coordinate plane 5x-y>-3
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
[tex]\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}[/tex]
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).
A piece of art is in the shape of an equilateral triangle with sides of 6 in. Find the area of the piece of art. Round your answer to the nearest tenth.
Answer:
15.6
Step-by-step explanation:
We can take this equilateral triangle and split it in half to form a 30-60-90 triangle. This will have base of 3, and height of 3[tex]\sqrt{3}[/tex]. The area of this is
1/2 ( 3 )( 3[tex]\sqrt{3}[/tex] ), but the 1/2 cancels since we have 2 halves of the triangle, and so the area is 9.
[tex]\sqrt{3}[/tex] is approx. 1.732, so multiplying this by 9, our answer is 15.6
Answer:
15.6 inches squared.
Step-by-step explanation:
According to the diagram below, the formula for the area of an equilateral triangle is the square root of 3 times the side length squared divided by 4.
The side length is 6. So, the area of the triangle is...
[tex]\frac{\sqrt{3} * 6^2}{4}[/tex]
= [tex]\frac{6^2 * \sqrt{3}}{4}[/tex]
= [tex]\frac{36\sqrt{3}}{4}[/tex]
= [tex]9\sqrt{3}[/tex]
= 9 * 1.732050808
= 15.58845727, which is about 15.6 inches squared.
Hope this helps!
pls help, and explain. I will give brainliest.
Ratio of apples to strawberries in Angie's salad
= 4:5
= 36:45 (because we multiplied both numerator and denominator by 9, to get the same denominator as the other ratio)
Ratio of apples to strawberries in Salim's salad
= 7:9
= 35:45 (because we multiplied both numerator and denominator by 5, to get the same denominator as the other ratio)
36:45 ≠ 35:45
So, ratio of apples to strawberries in Angie's salad ≠ ratio of apples to strawberries in Salim's salad.
36:45 > 35:45
So, ratio of apples to strawberries in Angie's salad < ratio of apples to strawberries in Salim's salad.
Answer:
Angie used a greater ratio of apples to strawberries because if you divide the apples by strawberries you will find how much apples they put in if they put one strawberry.
Angie’s ratio: 4:5
0.8:1
Salim’s ratio: 7:9 0.77777777:1
Hope it helps
helpppppp! only find the equation of the line. urgent!
Answer: y = 3x -4
Step-by-step explanation:
the slope is 6/2 or 3 and y when x is 0 is -4. Hope this helps!
Answer:
[tex]\boxed{y = 3x - 4}[/tex]
Step-by-step explanation:
Hey there!
Well let's start with slope,
The slope is 3x because the rise is 3 and the run is 1 so the slope is 3x.
Slope = 3
Now the y intercept is -4 because that's where the line touches the y axis.
Equation: y = 3x - 4
Hope this helps :)
inverse functions
Given that f(X)=2x-3 and g(X)=3x+1÷x+2
Answer:
765(7-()83)₹8_!_?84?8₹92092)8₹+!_()
3/4 + 4/7 + 3/4
plz help
Answer:
29/14
Step-by-step explanation:
Start by working out the LCM of these (or any common denominator). A common denominator for 4 and 7 is 28 cuz 4 x 7 = 28.
3/4 = 21/28
4/7 = 16/28
3/4 = 21/28
(21+16+21)/28 = 58/28 which can simplify to 29/14
hi
Golden rule : you can only add or substract fraction if and only if they have the same denominator.
so two solutions :
you see that one denominator is a multiple of the second. so you multiply all the fraction by this multiple.
ex : 1/3 + 5/6
here I can easely convert 1/3 into a fraction with 6 as 6 is 3x2.
so : 1x2 = 2 and 3x2 = 6
1/3 is 2/6
so. 1/3 +5/6 = 2/6 +5/6
fraction have same denominator, I add numerators : 2/6 +5/6 =7/6
if it not that evident, you multiply fraction A up and down by denominator of fraction B.
and you multiply up and down fraction B by denomonator of fraction A
let' s see with your exemle :
3/4 +4/7+3/4 = ?
first I add fraction with same denominator :
3/4+3/4+4/7 = 6/4 +4/7
fraction A is 6/4.
I multiply up and down by denominator fractiok B which is " 7"
so. 6/4 = 6x7/4×7 = 42/28
let's apply method to fraction B whixh is 4/7 . let' multiply up and down by denominator of fraction A which is " 4"
so : 4/7 = 4x4 /7x4 = 16/28
now we have :
6/4 +4/7 = 42/28 +16/28
both my fractions have same denominator "28" so I add numerator :
42/28 +16/28 = 58/28
Now must wonder if 58/28 can be simplify. Good trick is to decompose numbers, and in prime number is the best way to do
58 = 2x29
28 = 7x2x2
so 58/28= (2×29)/ (7x2x2)
when there is same number up and down I can cross it out .
so here one "2" up and down can be rule out
so 58/28 = 2x29 /7×2×2 = 29/7x2 =29/14
I can not symplify more, so calculus is over.
in short :
3/4+4/7+3/4 = 6/4+4/7
= 42/28 +16/28
=58/28
= 29/14
-2z² + 4z + 2z² = ?
Anyone know this?
Answer:
4
Step-by-step explanation:
Let's simplify step-by-step.
−2z2+4z+2z2
Combine Like Terms:
=−2z2+4z+2z2
=(−2z2+2z2)+(4z)
=4z
Answer:
4z
Hope this helps <3 Need thanks?
Comment /hearthelp
[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]
Combine like. variables[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]
[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]
[tex]\\ \sf\longmapsto 0z^2+4z[/tex]
[tex]\\ \sf\longmapsto 4z[/tex]
brianna practices the panio 30 minutes each day write an expression for the number of hours she practises in d days
Solve for m 5m+35=70
Answer:
m=7
Step-by-step explanation:
subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.
Answer: m=7
Step-by-step explanation:
[tex]5m+35=70[/tex]
subtract 35 on both sides
[tex]5m+35-35=70-35[/tex]
[tex]5m=35[/tex]
divide 5 on both sides
[tex]35/5=7[/tex]
[tex]m=7[/tex]
f(x) = x2. What is g(x)?
Answer:
-x^2 - 3
Step-by-step explanation:
SO we know f(x); x^2
when you place a (-), it flips teh image across the x-axis.
Finally, we see that the line is at (0,-3). To get it there, we need to go down 3, which gives us the -3 in the equation.
So we have -x^2-3
(rember the - sign is to flip it across the x-axis, and the -3 is to move the line 3 down the y-axis)
I checked my answer on a calculator btw lol.
What is —4р + (- 6р) equals?
Answer
[tex] \boxed{10p}[/tex]
Step by step explanation
[tex] \mathsf{ - 4p + (- 6p)}[/tex]
When there is a ( + ) in front of an expression in parentheses, the expression remains the same
[tex] \mathsf{ - 4p - 6p}[/tex]
Collect like terms
[tex] \mathsf{ - 10p}[/tex]
Hope I helped!
Best regards!
Determine the period
Answer:
10
Step-by-step explanation:
acellus
The period of the given graph is 10.
Use the concept of a period of function defined as:
One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.
In the given wave,
X-axis represents time
The Y- axis represents the amplitude of the curve
As we can see,
The first peak of this graph is located at x = 1 and the second peak is at,
x = 13
Since the period is the time interval between two consecutive peaks in a graph.
In this case, the time interval is 10.
Hence,
The period of the given graph is 10.
To learn more about period of a graph visit:
https://brainly.com/question/12682398
#SPJ4
Show that the 9x^2-24xy+16y^2-12x+16y-12=0 represents a pair of parallel lines .Find the distance between the lines.
First of all u will 9x^2-24xy+16y^2-12×16y-12=0 u will add the 9x^ then u will subtract 2-24
Guys please help! For Edge 2021
Writing the Inverse of a Function
What is the inverse of f(x) = 3x + 2?
3x+2
h(x) = 3x-2
h(x) =
O h(x) = 3x - 2
h(x) = 3x - 6
Step-by-step explanation:
please check the attachment for solutions
PLEASE SOMEONE ANSWER THIS R3JGWERHTRYT
Order the numbers from least to greatest.
A) 3.41%, 0.31, 0.314, 0.3333
B) 0.3333, 0.31, 0.314, 3.41%
C) 3.41%, 0.314, 0.3333, 3.51%
D) 0.31, 0.314, 0.333, 3.41%
answer:
D) 0.31 , 0.314 , 0.333 , 3.41%
because, 3.14% converted to decimal is 3.41
A bakery sells 5 apple muffins for every 2 bran muffins sold. Which table shows this ratio?
Answer:
D
Step-by-step explanation:
5:2::20:4::30:6::40:8
20/4 is 5
30/6 is 5
40/8 is 5
sin 6x +4sin²3x= 0
sin x + sin 5x = sin 2x . sin 3x
tan 4x. tan 2x = -1
sin 5x + cos 5x - sin x + cos x =√2 cos 3x
cos 5x . cos x + sin³2x = cos 3x . cos x
Answer:
no entendi muy bien sorry
2. A person's height is 73 inches. How
would you convert this height to feet
using a conversion factor?
a.
73in 12 in
ift
1
b.
73in ift
1
12in
Answer:
6.08 ftStep-by-step explanation:
In this problem we are expected to do unit conversion from inches to feet.
from table we can see that
if 1 inches is 0.0833333 ft
then 73 inches will be x ft
By cross multiplication we can solve for the value of x which is
]x= 6.08 ft
Hence the person is 6.08 ft tall
Not every straight line will pass the vertical line test. What is the only type
of straight line that would fail the vertical line test? *
A-horizontal line
B-vertical line
C-Option 3
A vertical line has all points with the same x coordinate, but infinitely many different y coordinates. It inherently fails the vertical line test because we can pass a single straight line through more than one point on the function curve.
Put another way, the input is a single value but there's infinitely many outputs. A function must have each input produce exactly one output. This is of course only when the input is in the domain.
Answer:
c
Step-by-step explanation:
Briefly describe this graph of a Femis wheel.
Answer: This is a periodic relation.
Step-by-step explanation:
This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.
Then we can write this as h(t) = A*sin(C*t + F) + B
Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.
2*A is the distance between the maximum height and the minimum height.
B is the middle height of the Femis Wheel.
Help this needs to be answered
The equation of the linear function in slope-intercept form is [tex]f(x) = \frac{1}{2}x - 5[/tex]
The equation of a linear function can be written in the slope intercept form as:
f(x) = mx + b,
where,
m represents the slope of the linear function
b represents the point on the y-axis where the line intercepts the y-axis. (at this point, x = 0)
we need to find the value of m and b to be able to write the equation of the linear function.
Find slope (m):
From the image attached, the red line represents the rise (3 units) while the blue line represents the run (6 units).
Slope (m) = rise/run
Substitute:
Slope (m) = 3/6
m = 1/2
Find the y-intercept (b):
From the graph, the line cuts the y-axis at y = -5.
Therefore,
b = -5
Next is to substitute m = 1/2 and b = -5 into f(x) = mx + b. Thus:
[tex]f(x) = \frac{1}{2}x - 5[/tex]
The equation of the linear function is: [tex]f(x) = \frac{1}{2}x - 5[/tex]
Learn more about how to write the equation of a linear function here:
https://brainly.com/question/12184348
Find the value of m∠ADC.
A. 90º
B. 117º
C. 18º
D. 24º
Answer:
A. 90°
Step-by-step explanation:
Any angle that has a box on it denotes that the angle is a right angle.
Definition of a right angle is 90°.
So our answer must be 90°
Answer:
A
Step-by-step explanation:
∠ADC is the same thing as ∠D. ∠D has the little right-angle symbol. Thus, ∠D is a right angle. All right angles are 90°. Therefore, ∠D or ∠ADC is 90°.
Can someone please explain the answers?
Answer:
3. Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics: One to five roots. Zero to four extrema.
4. x = -5 or x = 0 or x = 5
Step-by-step explanation:
Solve for x:
6 x^5 - 150 x^3 = 0
The left hand side factors into a product with four terms:
6 x^3 (x - 5) (x + 5) = 0
Divide both sides by 6:
x^3 (x - 5) (x + 5) = 0
Split into three equations:
x - 5 = 0 or x^3 = 0 or x + 5 = 0
Add 5 to both sides:
x = 5 or x^3 = 0 or x + 5 = 0
Taking cube roots gives 0 times the third roots of unity:
x = 5 or x = 0 or x = 0 or x = 0 or x + 5 = 0
Subtract 5 from both sides:
x = 5 or x = 0 or x = 0 or x = 0 or x = -5
There are {2} duplicate solutions:
Answer: x = -5 or x = 0 or x = 5
Donald has a bunch of nickels and dimes in his piggy bank. There are 100 coins in the bank that make a total of $6.60 in change. If n is the number of nickels and d is the number of dimes, how many of each type of coin does Donald have?
Answer:
78 nickels and 22 dimes
Step-by-step explanation:
Nickels = n, Dimes = d
Number of coins = 100
n + d = 100Total sum in the piggy bank = $6.60
5n + 10d = 660Consider the first equation in the second:
5(100 -d) + 10d = 660500 - 5d + 10d = 6605d = 110d = 110/5d = 22n = 100 - 22n = 78Answer: nickels 78 and dimes 22
Answer:
78 nikes and dimes 22
solving these linear equations simultaneously, x = 22y = 8z= 11hence the answer is B. 11
Step-by-step explanation:
find the difference 4 - 15
first 15- 4= 11
in question they gave 4-15 so
-11
Will give us many points as possible thank you very much
Answer:
27 1/2 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = 5 * 5 1/2
Change to an improper fraction
A = 5 * (2*5+1)/2
A = 5*11/2
A = 55/2
Change back to a mixed number
A = 27 1/2
−30=5(x+1)
what is x?
[tex]\\ \rm\Rrightarrow -30=5(x+1)[/tex]
[tex]\\ \rm\Rrightarrow -30=5x+5[/tex]
[tex]\\ \rm\Rrightarrow 5x=-30-5[/tex]
[tex]\\ \rm\Rrightarrow 5x=-35[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{-35}{-5}[/tex]
[tex]\\ \rm\Rrightarrow x=7[/tex]
Answer:
x = -7
Step-by-step explanation:
-30 = 5 (x -1 )
5 ( x + 1 ) =-30
5 (x + 1 ) = - 30
5 5
x + 1 = -6
x + 1 -1 = -6 -1
x = - 7
The teacher wants to make a fruit punch for the class party. She needs 30 quarts of juice. If there are 15 kids bringing in juice, how many pints should each person bring?
Answer:
4 pints
Step-by-step explanation:
30 quarts ÷ 15 kids = 2 quarts per kid
there are 2 pints in a quart so..
2 quarts per kid x 2 pints per quarter = 4 pints
the tripled product of 12 and a number is 102. what is the number
Answer:
Step-by-step explanation:
Let
The known number = 12
The unknown number = x
Result = 102
Product of 12 and a number= 12*x
= 12x
Tripled product of 12x= 3(12x)
=36x
36x = 102
Divide both sides by 36
x = 102/36
= 2.833
x=2.833
9) What is the area of a square with a side length of 120 cm?
Area of square = Side × Side
Side of square is 120 Cm.⇛Area = 120 cm × 120 cm
⇛Area = 14400 cm²
Hence , the area of square is 14400 cm²
Answer:
14400
Step-by-step explanation:
Area for square formula: B × H
Since a square has equal sides for each side, you will multiply 120 by itself.
120 × 120 = 14400
The area of the square is 14400.
Hope this helped.