Answer:
D) x = 2 and y = 4 or (2, 4)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}3x+y=10\\-4x+2y=0\end{cases}[/tex]
Multiply Equation 1 by -2:
[tex]\implies -6x-2y=-20[/tex]
Add this to Equation 2 and solve for x:
[tex]\implies (-4x+(-6x))+(2y-2y)=(0+(-20))[/tex]
[tex]\implies -10x=-20[/tex]
[tex]\implies x=2[/tex]
Substitute the found value of x into Equation 1 and solve for y:
[tex]\implies 3(2)+y=10[/tex]
[tex]\implies 6+y=10[/tex]
[tex]\implies y=10-6[/tex]
[tex]\implies y=4[/tex]
Therefore, the pair on numbers (x, y) that satisfies both equations is (2, 4)
(2,4)
Let's verify
#1
3(2)+46+410Verified
#2
-4(2)+2(4)-8+80Verified
Help with this please !!!!!!!!
Write an equation to represent the following statement. j is 25 more than 3 Solve for j
Answer:
j = 25+3
im pretty sure :)
Step-by-step explanation:
Answer:
j=25+3 which means j=28
Find the equation of the line shown.
Answer:
y=x+6
Step-by-step explanation:
y intercept = 6
gradient = rise/run = 1/1
y = x +6
Roberto bought a new shirt that was 25% off. The original price was 60$. How much did he save?
Answer:
$15
Step-by-step explanation:
First you move the decimal in the percent 2 times to the left and get .25. And then you multiply that by 60 and get 15.
Pls help I forgot how to solve this kind of problem
Answer:
72.1110255093 cm
Step-by-step explanation:
round it if you have to
Answer:
75 cm
Step-by-step explanation:
The diagonal d divides the rectangle into 2 right triangles with d as the hypotenuse.
Using the right triangle formed on the left and using Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
d² = 45² + 60² = 2025 + 3600 = 5625 ( take square root of both sides )
d = 75
The diagonal is 75 cm
Give the prime algebraic factorization: 15a2b = _____
Answer:
3a5a2b
Step-by-step explanation:
You can prime factorize 15: 3 x 5
what's
[tex] \sqrt{225} [/tex]
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
15
Step-by-step explanation:
Hope it is helpful....
Answer:
The Square root of 225 is 15
Which equation has a slope of -2 and passes through the point (1, -6)?
A. y = -23 – 4
B. Y = -22 that
c. y = –2x – 8
D. Y = -2x + 8
Answer:
C. y= -2x-8 is the answer
Answer:
y = -2x - 4
Step-by-step explanation:
y = mx + b(we substitute the "x" and "y" points into this general formula)
-6 = -2 (1) + b ( multiply "-2" by "1" and obtain the answer itself "-2")
(+ 2) -6 = -2 + b (+ 2)( then we add "2" on both side so the right side will be left with only "b". and "-6 + 2 = -4")
-4 = b( we substitute this answer in the general formula we've written )
y= -2x -4
1.9y=11.78 ahhh helppp
Answer:
6.2
Step-by-step explanation:
Divide 11.78 by 1.9. Then you will get 6.2.
Your welcome in advanced.
-YourAverage10YearOld
Can you write the sum, and put it in standard form??
Step-by-step explanation:
[tex] \tt{(4 {x}^{3} + 2x + 6) + (2 {x}^{3} - {x}^{2} + 2) }[/tex]
Remove the unnecessary parentheses.
⟶ [tex] \tt{4 {x}^{3} + 2x + 6 + 2 {x}^{3} - {x}^{2} + 2}[/tex]
Combine like terms. Like terms are those which have the same base. Note that only coefficients of like terms can be added or subtracted.
⟶ [tex] \tt{4 {x}^{3} + 2 {x}^{3} + 2x + 6 + 2 - {x}^{2} }[/tex]
⟶ [tex] \tt{6 {x}^{3} + 2 x + 8 - {x}}^{2} [/tex]
As we are asked to write the answer in standard form , we have to rewrite the expression 6x³ +2x + 8 - x² in such a way that the power of the variables goes from highest to lowest.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{6 {x}^{3} - {x}^{2} + 2x + 8}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Manuel is riding his bike. The graph represents the distance Manuel travels from home over time. Distance from home Time I= Describe what is happening as depicted in the graph. Make sure you have at least one sentence describing each segment of the graph.
Answer: several hours Which is an ordered pair on the line(2.5,14) (2.25,12) (1.25,5) (1.5,9) Jonah's house and his grandparents' house are 8,046.72 meters apart. What is this distance in miles 4 miles 5 miles 7 miles 8 miles
Step-by-step explanation:
Have you noticed that the tip smells like saliva after playing the flute I like the smell of saliva at the end of the flute does anyone else like this smell like me and have you ever smelled saliva at the end after playing the flute
Answer:
no never have and never will sorry
Answer:
ewwww.
Step-by-step explanation:
PLS help!!! PLS help!!! PLS help!!!
Answer:
c. sin 8x + sin 2x
Step-by-step explanation:
1. Convert the product into sum or differences: 2 sin 5x cos 3x
Solution:
2 sin 5x cos 3x = sin (5x + 3x) + sin (5x -3x), [Since 2 sin A cos B = sin (A + B) + sin (A - B)]
= sin 8x + sin 2x
1. What is the slope of the following Table?
х
у
0
1
1
3
2
5
3
7
The slope of the table is 2
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
to determine the slope:
From the table, we have the following points:
(x,y) = (0, 4) and (1,7)
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute known values
m = (7 - 4)/(1 - 0)
Evaluate the differences
m = 3/1
Divide
m = 2
Hence, the slope of the table is 2
Read more about slopes at:
brainly.com/question/3493733
#SPJ7
I NEED HELP!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
1(
m<1= 62°
2)
m<1=90°
3)
180-70-65=45
m<1= 45°
4)
180-90-30=60
m<1= 60°
Segment AB is being dilated with the center at the origin. The image of A, point A prime, has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B prime?
Step-by-step explanation:
The location of A is 3.2
The location of A' is 6.4
A represent pre image A' represent the new image.
The scale factor of A to A' is 2 since 3.2 x 2 =6.4
Since you didnt provide B coordinates, just multiply 2 by the B coordinate to find the B prime coordinate.
Answer: A.)The scale factor is 0.8 and the coordinates of point B prime are (–3.2, –4.8).
Step-by-step explanation: i hope this helps im sorry if this didnt help
Please answer one question asap
A(-4,3) B(2,-1) D(-4,-1) C(2,-5)
Answer:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of AB = [tex]\frac{3+1}{-4-2}[/tex]
= [tex]-\frac{2}{3}[/tex]
Slope of AD = [tex]\frac{3+1}{-4+4}[/tex]
= Not defined (Parallel to y-axis)
Slope of DC = [tex]\frac{-5+1}{2+4}[/tex]
= [tex]-\frac{2}{3}[/tex]
Slope of BC = [tex]\frac{-1+5}{2-2}[/tex]
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC = [tex]-\frac{2}{3}[/tex]
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.
Find three consecutive even integers such that the product of the first and second is 8 more than 38 times the third.
Answer:
40, 42 and 44
Step-by-step explanation:
Mark these even consecutive integers as (2n-2), 2n and (2n+2)
Note that since they are integers, n > 0 and 2n is always even
Writing the equation
(2n-2) * 2n = 38 * (2n+2) + 8
// divide both sides by 2
(2n-2) * n = 19 * (2n+2) + 4
[tex]2n^{2}[/tex] - 2n = 38n + 38 + 4
[tex]2n^{2}[/tex] - 2n - 38n - 38 - 4 = 0
[tex]2n^{2}[/tex] - 40n - 42 = 0
// divide both sides by 2
[tex]n^{2}[/tex] - 20n - 21 = 0
// rewrite the equation
[tex]n^{2}[/tex] + n - 21n - 21 = 0
n * (n+1) - 21n - 21 = 0
n * (n+1) - 21 * (n+1) = 0
(n+1) * (n-21) = 0
// separate the two possible cases
n + 1 = 0 and n - 21 = 0
n = -1 n = 21
Note that here n has to be an integer, so case n = -1 can't be a solution. Therefore we use n = 21
Calculating the consecutive even integers
2n - 2 = 2 * 21 - 2 = 40
2n = 2 * 21 = 42
2n + 2 = 2 * 21 + 2 = 44
Steven has 1 bag that contains disks numbered 1, 2, 3. He also has a second bag that contains four disks named A, B, C, and D. Construct a sample space of picking one disk randomly for each bag and state the total of outcomes possible
Answer:
Total possible outcomes = 12
{A1 ; A2 ; A3 ; B1; B2;B3;C1;C2;C3;D1;D2;D3}
Step-by-step explanation:
Bag 1 = { 1, 2, 3}
Bag 2 = {A, B, C, D}
Sample space :
Size of bag A * size of bag B
3 * 4
= 12
I need help im not sure how to do this
Answer:
59.5 feet
Step-by-step explanation:
Set up a proportion
Tree 1
17 feet tall
10 feet shadow
Tree 2
35 feet tall
x feet shadow
17/10= 35/x
(17)(35)= (10)(x)
595= 10x
/10 /10
59.5= x
The cast shadow of the second tree is 59.5 feet
b) If f(2x - 3) = 4x + 5, then find f(x) and f(-2).
c) If f(x) = 7* then prove that
f(m + n + p) = f(m) . f(n) f(p)
pls solve at least 1 only if u know
f(2x-3)=4x+5
Let, 2x-3=g
x=(g+3)/2
So,f(2{g+3}/2 -3)=4(g+3)/2 + 5
f(g)=2g+11
So,f(x)=2x+11
f(-2)=7 ##
Answer:
f(2x - 3) = 4x + 5
f(2x-3)=2(2x-3)+11
f(x)=2x+11
f(-2)=2×-2+11=-4+11=7
The point (4,3.5) is the maximum of the profit function.
A.Explain what the point (4,3.5) represents in terms of the context of the graph.
The function shown describes f(x), the cost (in hundreds of thousands of dollars) of making x bicycles (in thousands).
F(x)=1.25+0.35x
B.what is the cost to make 4,000 bicycles? Show your work.
Compare the slope of the cost function with the graph of the profit function.
C. Explain why the company should plan on making fewer than 4,000 bicycles.
Answer:
A. The point represents the turning point of the graph
B. The cost of making 4,000 bicycles is $265,000
The slope of the cost function, F(x) = 1.25 + 0.35·x, is less than the average slope of the graph of the total profit for sales
C. The company should plan on making fewer than 4,000 bicycles, to maximize profit
Step-by-step explanation:
A. The point represents the turning point after which increase in the x-coordinate values leads to a decrease in the y-coordinate values
B. The cost function is presented as follows;
F(x) = 1.25 + 0.35·x
Where;
F(x) = The cost in hundreds of thousands of dollars of making 'x' (in thousands) bicycles
x = The number of bicycles made in thousands
The cost of making 4,000 bicycles is given by plugging in x = 4(thousand) in F(x) = 1.25 + 0.35·x, as follows;
F(x) = 1.25 + 0.35·x
∴ F(4) = 1.25 + 0.35 × 4 = 2.65
Therefore, the cost of making 4,000 bicycles = 2.65 × $100,000 = $265,000
The slope of the cost function, F(x) = 1.25 + 0.35·x, is given by the coefficient of 'x' which is 0.35
The average slope of the graph of the profit function is ((3.5 - 0)/(4 - 0)) = 0.875
The slope of the cost function is less than the average slope of the graph of the profit function taken from the origin to the maximum point of the graph
C. When the company produces 5,500 bicycles, x = 5.5, we have;
F(5.5) = 1.25 + 0.35 × 5.5 = 3.175
The cost is 3.75 × $100,000 = $375,000 and the profit from te graph is $300,000
Therefore, the cost of making the 5,500 bicycles is more than the profit made in sales
The company should plan on making fewer than 4,000 bicycles, to reduce cost of producing more bicycles and to increase profit per unit of bicycle sold
last question please help me !!!! please :(
Answer:
Step-by-step explanation:
I think x=39°
Answer:
i dunno
Step-by-step explanation:
What is the vertex of the parabola to the below?
Answer:
(1,-3)
Step-by-step explanation:
Solve the following system of linear equations using elimination.
−2x+7y=16
8x−6y=24
Answer:
mark brainlist please
Step-by-step explanation
-2x+7y=16 x=-8,0 y=0,16/7
8x-6y=24 y=(3,0) x=(0,-4)
PLEASE HELP SHDHSJS :D
Answer:
ok ask your self what is 4x20+4 done pss its 84...
Step-by-step explanation:
ok
Answer:
84x
Step-by-step explanation:
Equation:
X(4+20)
=24x
X(24+60)
=84x
If ABCD is a parallelogram, find the measure of angle C
Answer:
47
Step-by-step explanation:
Angles B and D are equal.
Angles A and C are equal.
Anges in parallelogram add up to 360°
5x+38=8x-19
57=3x
x=19
B=(5×19)+38=133°
D=(8×19)-19=133°
A+C=360-133-133
A+C=94
A and C are the same so you can do 94/2=
Therefore, both angles A and C are 47 :D
The measure of angle c in the parallelogram is 47°.
What is a parallelogram?A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal. Also, opposite angles are equal and the shape has equal diagonals.
∠B = ∠D (opposite angles are equal)
8x - 19 = 5x + 38
x = 19
∠B = 5(19) + 38 = 133°
∠C + ∠B = 180° (base angles of parallelogram_
∠C + 133 = 180
∠C = 47°
The measure of angle c in the parallelogram is 47°.
Find out more on parallelogram at: https://brainly.com/question/970600
Find the missing angle measure. PLEASE HELP ASAP
Answer:
Angle 1 is 57 degrees
Angle 3 is 57 degrees
Angle 4 is 123 degrees
Step-by-step explanation:
Cause a straight line is 180 degrees and if angle 2 is 123 degress then angle 3 is 57 degrees and i got that by Subtracting 180-123 =57
Then for angles one you do the same maththat you do for finding angle 3
Then for angles 4 subtract 180-57=123
6. 14.8 divided by 0.08
Answer:
185
Step-by-step explanation:
14.8 / 0.08 = 185
Best of Luck!
Answer:
185
Step-by-step explanation:
next time you get a question like that use symbolab
The sum of three numbers is 212 .If the ratio of the first to the second is 13:16 and that of the second to the third is 2:3 then find the numbers.`
Given:
The sum of three numbers is 212 .
The ratio of the first to the second is 13:16 and that of the second to the third is 2:3.
To find:
The unknown numbers.
Solution:
We have,
First : Second = 13:16
Second: Third = 2:3
We need to combine these ratios, to get a single ratio for all three numbers.
Second: Third = 2×8:3×8 = 16:24
Now,
First: Second: Third = 13:16:24
Let the first, second and third numbers are 13x, 16x and 24x respectively.
[tex]13x+16x+24x=212[/tex]
[tex]53x=212[/tex]
[tex]x=\dfrac{212}{53}[/tex]
[tex]x=4[/tex]
So, the numbers are,
[tex]First=13x[/tex]
[tex]First=13(4)[/tex]
[tex]First=52[/tex]
Similarly,
[tex]Second=16x[/tex]
[tex]Second=16(4)[/tex]
[tex]Second=64[/tex]
And,
[tex]Third=24x[/tex]
[tex]Third=24(4)[/tex]
[tex]Third=96[/tex]
Therefore, the three unknown numbers are 52, 64, 96.