Answer:
(0, 0), (-1, 0), (0, 2)Step-by-step explanation:
Look at the picture.
Mark points in the coordinate system.
Find points that lie in the shaded region or on the given lines.
solve for d -4c+3d=8e
Hey there! :)
-4c + 3d = 8e ; solve for d.
In order to solve for d, you must isolate it (get it onto its own side). So, let's start off by adding 4c to both sides.
-4c + (-4c) + 3d = 8e + (-4c)
Simplify.
3d = 8e - 4c
Then, divide both sides by 3.
3d ÷ 3 = (8e - 4c) ÷ 3
Simplify.
d = 8/3e - 4/3c
Therefore, [tex]d = \frac{8}{3} e -\frac{4}{3} c[/tex]
Write the slope-intercept form of the equation of each line.
Answer:
[tex]\large\boxed{y=-\dfrac{7}{3}x+4}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points:
(0, 4) → b = 4
and (3, -3)
Substitute:
[tex]m=\dfrac{-3-4}{3-0}=\dfrac{-7}{3}\\\\y=-\dfrac{7}{3}x+4[/tex]
Hanna and Swathi walked several miles for a charity. Altogether they walked more than 14 miles. If Hanna walked 8 miles
then which represents s the number of miles Hanna could have walked?
Answer:
S>6
Step-by-step explanation:
Let us suppose the distance walked by Hanna and swati is represented by H and S.
And total distance travelled is D
D=H+S
D>14
H+S>14
Given H=8
8+S>14
S>6
Hence swati walked more than 6 miles
Use the parabola tool to graph the quadratic function
f(x)=(x−2)(x−6)
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
What parabola tool?
Step-by-step explanation:
I went ahead and graphed the quadratic function however, you should learn how to graph it yourself the way they are asking you to using the "parabola tool", because I cant really show you my steps in graphing it since I don't know what your parabola tool is.
Sorry
What is the equation of the line parallel to 3x+2y= -4 that goes through the point (4,-1)
Answer:
2y + 3x = 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 2y = - 4 into this form
Subtract 3x from both sides
2y = - 3x - 4 ( divide all terms by 2 )
y = - [tex]\frac{3}{2}[/tex] x - 2 ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex]
• Parallel lines have equal slopes, thus
y = - [tex]\frac{3}{2}[/tex] x + c ← partial equation of parallel line
To find c substitute (4, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - [tex]\frac{3}{2}[/tex] x + 5 ← in slope- intercept form
Multiply through by 2
2y = - 3x + 10 ( add 3x to both sides )
3x + 2y = 10 ← in standard form
The equation of the line parallel to 3x+2y= -4 goes through the point (4,-1).
3x + 2y = 10 ← in standard form.y = - x + 5 ← in slope- intercept formEquation of lineThe general equation of a straight line exists y = mx + c, where m is the gradient, and y = c exists the value where the line cuts the y-axis. This number c is named the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis stands y = mx + c.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 2y = - 4 into this form
Subtract 3x from both sides
2y = - 3x - 4 ( divide all terms by 2 )
y = - x - 2 ← in slope- intercept form
with slope m = -
• Parallel lines have equal slopes, thus
y = - x + c ← partial equation of parallel line
To find c substitute (4, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - x + 5 ← in slope- intercept form
Multiply through by 2
2y = - 3x + 10 ( add 3x to both sides )
3x + 2y = 10 ← in standard form.
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Please help ! I will mark you brainliest and give you 35 points
Answer:
13. part a
What Lenora did wrong is that when you multiply 2 terms, the exponents are added not multiplied. It would be 10x^4y^6
13. part b
2xy^4
when the terms are divided, the exponents are subtracted
Answer:
13. part a
What Lenora did wrong is that when you multiply 2 terms, the exponents are added not multiplied. It would be 10x^4y^6
13. part b
2xy^4
when the terms are divided, the exponents are subtracted
Step-by-step explanation:
the lines graphed below are parallel. the slope of the red line is -4/3. what is the slope of the green line
Answer:
-4/3
Step-by-step explanation:
If the lines are parallel, they have the same slope.
Since the red line has a slope of -4/3, the green line will have a slope of -4/3
Please someone help me
Answer:
The correct answer option is D. 5.
Step-by-step explanation:
We are given the following expression where 4 is to be divided by a fraction 1/5:
[tex] 4 [/tex] ÷ [tex]\frac{1}{5}[/tex]
This can also be written as:
[tex]\frac{4}{\frac{1}{5} }[/tex]
Now to find the quotient of this, we will take the reciprocal of the fraction in the denominator to change it into multiplication.
[tex]4 \times \frac{5}{1}[/tex]
Therefore, ignoring the 1 in denominator, we can simply multiply 4 by 5.
Answer:
Hi there!
The answer is last one: 5
Step-by-step explanation:
When ever you are dividing a number by a fraction you always flip the fraction and multiply it, another way of saying it is multiplying by its reciprocal.
A line intersects the point (-8,-1)and has a slope of 1/4.what is the slope-intercept equation for this line?
ANSWER
[tex]y = \frac{1}{4}x+1[/tex]
EXPLANATION
The slope-intercept equation of a straight line is of the form
[tex]y = mx + b[/tex]
Where 'm' is the slope and 'b' is the y-intercept.
From the question we have slope to be
[tex]m = \frac{1}{4} [/tex]
We substitute the slope into the slope-intercept equation and obtain:
[tex]y = \frac{1}{4}x + b[/tex]
To find the value of 'b' we plug in the point (-8,-1) into our current equation.
[tex] - 1= \frac{1}{4}( - 8)+ b[/tex]
[tex] - 1= - 2+ b[/tex]
[tex] - 1 + 2 = b[/tex]
[tex]1 = b[/tex]
[tex]b =1 [/tex]
The complete equation is
[tex]y = \frac{1}{4}x + 1[/tex]
Graph the system of equations to find the solutions of x3 + 6x2 - 40x = 192.
y = x3 + 6x2 - 40x
y = 192
Answer:
The solutions are: x=6. x=-4 and x=-8.
Step-by-step explanation:
The solution to the system of the equation is going to be given by the points where the graphs of:
y = x3 + 6x2 - 40x AND y = 192 intercept.
By looking at the graph, we can deduce they intercept at three points:
(-8, 192), (-4, 192) and (6, 192).
Another way to verify this, is by solving the following system of equations:
x3 + 6x2 - 40x - 192 = 0
Factorizing, we get:
(x-6)(x+4)(x+8) = 0
Where we can clearly see that the solutions are: x=6. x=-4 and x=-8.
Answer:
A -8
B -4
D 6
Step-by-step explanation:
Correct on EDGE
what is the nth term of 2,5,8,11,14
Answer:
f(n) = 2 + 3(n-1)
Step-by-step explanation:
Answer:
f(n) = 2 + 3(n-1)
Step-by-step explanation:
What is the difference of the rational expressions below?
X+5/x^2-2/5x
Answer:
[tex]\large\boxed{\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{3x+25}{5x^2}}[/tex]
Step-by-step explanation:
[tex]\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{5(x+5)}{5x^2}-\dfrac{2x}{5x^2}\qquad\text{use the distributive property}\\\\=\dfrac{5x+25}{5x^2}-\dfrac{2x}{5x^2}=\dfrac{5x+25-2x}{5x^2}=\dfrac{3x+25}{5x^2}[/tex]
The difference between the rational expressions below will be,[tex]\frac{3x+25}{5x^2}[/tex]
What is an arithmetic operation?Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them.
The difference in the rational expression is found as;
[tex]=\frac{x+5}{x^2} -\frac{2}{5x} \\\\=\frac{5(x+5)}{x^2} - \frac{2x}{5x^2} \\\\\ = \frac{5x+25}{5x^2} -\frac{2x}{5x^2 }\\\\\ = \frac{5x+25-2x}{5x^2} \\\\ = \frac{3x+25}{5x^2}[/tex]
The difference between the rational expressions below will be,[tex]\frac{3x+25}{5x^2}[/tex].
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a 2 digits even multiple of 7
Answer:
14, 28, 42, 56, 70, 84, (etc.)
Step-by-step explanation:
14, 28, 42, 56, 70, 84, (etc.) are all multiples of 7. They're also even and have 2 digits.
Answer: 14 28 42 56 70 84
Step-by-step explanation: Hopes this helps
Find the non permissible replacement for -5/3y
Answer:
0.
Step-by-step explanation:
The nonpermissible replacement of the variable in an expression is the value of x that will make the denominator of the expression zero.
This problem will therefore be written as -5/3y≠0, and it can't be 0, so 0 is your non permissible replacement.
Hope this helps!
Write an equation of the direct variation that includes the point (9, -12).
Answer:
[tex]y=-\frac{4}{3}x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
step 1
Find the value of k
we have
the point (9,-12)
x=9, y=-12
[tex]k=y/x[/tex]
substitute
[tex]k=-12/9=-4/3[/tex]
step 2
Find the equation
[tex]y=kx[/tex]
so
[tex]y=-\frac{4}{3}x[/tex]
Which equation can be solved using the expression -3 plus or minus the square root of (3)^2+4(10)(2)/2(10) for x?
A. 10x^2=3x+2
B. 2=3x+10x^2
C. 3x=10x^2-2
D. 10x^2+2=-3x
Answer: B. 2=3x+10x^2
Step-by-step explanation:
The expression means the quadratic function equation.
B = 10x^2 + 3x -2 = 0
the equation is [-b ±√(b^2 -4ac)]/2a
b should be +3 to become -3 when it is plugged into the equation, and 'a' should be 10, and c should be -2.
Answer:B
Step-by-step explanation:
Ye you know me keep it a buck like 123 ye 2022 baby
What are the answers plzzz someone help me
Explain why there can be no infinite geometric series with a first term of 12 and a sum of 5.
Answer:
Step-by-step explanation:
When you find the sum of a number you are adding two or more numbers together. therefore the only answer that you could use to get a sum of 5 when your first term is 12 would be -7
Can you pls help me pls?
[tex]\dfrac{16}{7x+4}+A=\dfrac{49x^2}{7x+4}\\\\A=\dfrac{49x^2}{7x+4}-\dfrac{16}{7x+4}\\\\A=\dfrac{49x^2-16}{7x+4}\\\\A=\dfrac{(7x-4)(7x+4)}{7x+4}\\\\A=7x-4[/tex]
[tex]\bf \stackrel{~~~~~~~~\textit{is equivalent}}{\cfrac{16}{7x+4}+A~~=~~\cfrac{49x^2}{7x+4}}\implies \stackrel{\textit{cross-multiplying}}{\cfrac{16~~\begin{matrix} (7x+4) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 7x+4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}+A(7x+4)=49x^2} \\\\\\ 16+A(7x+4)=49x^2\implies A(7x+4)=49x^2-16\implies A=\cfrac{49x^2-16}{7x+4}[/tex]
[tex]\bf A=\cfrac{7^2x^2-4^2}{7x+4}\implies A=\cfrac{\stackrel{\textit{difference of squares}}{(7x)^2-4^2}}{7x+4}\implies A=\cfrac{(7x-4)~~\begin{matrix} (7x+4) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 7x+4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A=7x-4~\hfill[/tex]
Which graph shows a dilation?
Answer:
A
Explanation:
In image A the image becomes smaller but doesn't change shape which is what dilation is supposed to be.
Answer:
Option A
Step-by-step explanation:
Crystal earns $5.25 per hour mowing lawns. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns. How much does Crystal earn if she works 2 hours and 15 minutes? m(h) = 5.25h; $11.29 ; $0.43 m(h) = 5.25h; $11.81 m(h) = 2h + 15; $25.50
Answer:
m(h) = 5.25h
$11.81 for 2 hours and 15 minutes
Step-by-step explanation:
Convert 2 hours and 15 minutes to an hour decimal: 2.25 hoursSubstitute 2.25 in for h.Multiply: (5.25)(2.25) = $11.81Create an equivalent system of equations using the sum of the system and the first equation.
−5x + 4y = 8
4x + y = 2
A) −5x + 4y = 8
9x + 5y = 10
B) −5x + 4y = 8
−x + 5y = 10
C) −5x + 4y = 8
9x + 5y = 2
D) −5x + 4y = 8
−x + y = 10
Answer:
B) {-5x + 4y = 8
{-x + 5y = 10
Step-by-step explanation:
Add like it said, and you will see your answer.
Answer:
Option B
[tex]-5x+4y=8[/tex]
[tex]-x+5y=10[/tex]
Step-by-step explanation:
We are given that
System of equations
[tex]-5x+4y=8[/tex]
[tex]4x+y=2[/tex]
We have to find an equivalent system of equations using sum of system and first equations
Sum of system of equations
[tex]-5x+4y+4x+y=8+2[/tex]
[tex]-x+5y=10[/tex]
Therefore, option B is true.
What are the values of a, b, and c in the quadratic equation 0 =
x2 – 3x - 2?
a = 1, b = 3, c = 2
a=, b = -3,C=-2
a = 1, b = 3, c= 2
a = 1.0= -3, c = 2
Answer:
a=1, b = -3, c=-2
Step-by-step explanation:
The quadratic equation is in the form
a[tex]x^{2}[/tex] + bx +c = 0
Using the given equation
1[tex]x^{2}[/tex] -3x -2 = 0
We can see that
a=1 b=-3 c=-2
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each division expression with the correct quotient.
Answer:
[tex]\frac{16x^2+48x}{8x} = 2x+6\\\frac{56x^2-14x}{7x} = 8x-2\\\frac{18x^2+15x}{3x}=6x+5\\\frac{20x^2-32x}{4x}=5x-8[/tex]
Step-by-step explanation:
We will solve the division one by one:
[tex]\frac{16x^2+48x}{8x} = \frac{8x(2x+6)}{8x} = 2x+6\\\frac{56x^2-14x}{7x}=\frac{7x(8x+2)}{7x}=8x+2\\\frac{18x^2+15x}{3x} =\frac{3x(6x+5)}{3x} = 6x+5\\\frac{20x^2-32x}{4x}=\frac{4x(5x-8)}{4x}=5x-8[/tex]
a)
[tex]\dfrac{16x^2+48x}{8x}[/tex]
Since, both the terms in the numerator have a common factor as: 8x.
Hence, we take out common 8x from the numerator term and hence it could be written as:
[tex]\dfrac{8x(2x+6)}{8x}[/tex]
i.e.
[tex]=2x+6[/tex]
b)
[tex]\dfrac{56x^2-14x}{7x}[/tex]
Since, both the terms in the numerator have a common factor as: 14x.
Hence, we take out common 14x from the numerator term and hence it could be written as:
[tex]=\dfrac{14x(4x-1)}{7x}\\\\=2(4x-1)\\\\=8x-2[/tex]
c)
[tex]\dfrac{(18x^2+15x)}{3x}[/tex]
Since, both the terms in the numerator have a common factor as: 3x.
Hence, we take out common 3x from the numerator term and hence it could be written as:
[tex]=\dfrac{3x(6x+5)}{3x}\\\\=6x+5[/tex]
d)
[tex]\dfrac{20x^2-32x}{4x}[/tex]
Since, both the terms in the numerator have a common factor as: 4x.
Hence, we take out common 4x from the numerator term and hence it could be written as:
[tex]=\dfrac{4x(5x-8)}{4x}\\\\=5x-8[/tex]
PLS HELP ME!!!the base length of a triangle is 12 ft and the height is 6 ft. what is the area of the triangle.
a. 10 sq. ft
b. 12 sq. ft
c. 18 sq. ft
d. 36 sq. ft
Answer:
d. 36 sq. ft
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 (12) * 6
A = 36 ft^2
Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?
The total amount that all three friends have is $84.
Let's assume that Ami, Jan, and Toy have x, y, and z dollars respectively. After the first redistribution, we know that:
x - a = 2(y + z)
y + a = 2(x + z)
z + a = 2(x + y)
where a is the amount of money that Ami gives to Jan and Toy.
Solving these equations, we get:
x = 5z - 4a
y = 5z - 6a
z = z
After the second redistribution, the new amounts are:
x + b = 2(y + c)
y - b + c = 2(x + c)
z + b + c = 2(x + y)
where b is the amount that Jan gives to Ami and Toy, and c is the amount that Toy gives to Ami and Jan.
Solving these equations, we get:
x = 14c
y = 11c
z = 6c
Finally, after the third redistribution, the new amounts are:
x + 2d = 2(y + 2d)
y + 2d = 2(x + 2d)
z - 2d + 2c = 2(x + y)
where d is the amount that Toy gives to Ami and Jan.
Solving these equations, we get:
x = 8d
y = 10d
z = 18d
Since we know that z = $36, we can solve for d and get d = $2. Therefore, the total amount that all three friends have is:
x + y + z = 8d + 10d + 36 = $84.
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2. Find the products:
(1) (-2) * 3 * (-4)
(iv) 8 x 7*(-10)
Anyone please help . Who will answer Mark as the brainliest. Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help its urgent will be given 20 points
Answer:
24
-560
Step-by-step explanation:
(1) (-2) * 3 * (-4)
A negative time a negative is a positive
2*3*4 = 24
(iv) 8 x 7*(-10)
This result will be negative since there are positive times negative
8*7 =56* 10 = 560
8*7* (-10) = -560
Which of the following expressions results in 0 when evaluated at x = 4?
A. (x + 6)(x - 2)
B. 4x(x - 6)
C. (x - 10)(x - 4)
D. (x + 4)(x - 10)
Answer:
C
Step-by-step explanation:
x-4 is zero when x=4
so the one that contains the factor (x-4)
C
1. The price of a TV is $3,435. Which of
the following shows the values of the
two 3s in this price?
A 300; 3
B 30; 3
C 3,000; 3
D 3,000; 30
The correct option that shows the values of the two 3s in the price $3,435 is D) 3,000; 30
In the given price, $3,435, the first 3 represent the thousand place value, while the second 3 represents the one's place value.
The comma in option D indicates the separation of thousands, so it correctly represents the first 3 as part of the thousands place value.
The number 30 in option D represents the second 3 as part of the one's place value.
Therefore, option D) 3,000; 30 is the choice that correctly shows the values of the two 3s in the price $3,435.
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Find the missing factor B that makes the equality true
42x^5y^4=(-7x^3y)(B)
Answer:
-6x^2 y^3 = B
Step-by-step explanation:
42x^5y^4=(-7x^3y)(B)
Solve for B
Divide by -7
42x^5y^4/-7=(-7x^3y)(B)/-7
-6 x^5 y^4 = x^3 y B
Divide by x^3
-6 x^5 y^4/x^3 = x^3 y B/x^3
-6 x^5/x^3 y^4 = By
-6 x^2 y^4
Divide by y
-6x^2 y^4/y = By/y
-6x^2 y^3 = B