Answer: x=-1
Step-by-step explanation:
please help!
find the equation (in terms of x) of the line through the point (-4,3) and (3,-2)
Answer: y= -5/7 x + 1/7
Step-by-step explanation:
Answer:
[tex]y=-\frac{5}{7} x+\frac{1}{7}[/tex]
Step-by-step explanation:
Equation of a line: [tex]y = mx+b[/tex]
m is the slope, and b is the y-intercept.
m = [tex]\frac{rise}{run} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{-2-3}{3-(-4)} =-\frac{5}{7}[/tex]
Now, we have [tex]y=-\frac{5}{7} x+b[/tex]
We can insert one set of points in to solve for b.
We will use the first point (-4, 3):
[tex]3=-\frac{5}{7} (-4)+b[/tex]
[tex]\frac{5}{7}* \:4+b=3[/tex]
[tex]\frac{20}{7}+b=3[/tex]
[tex]b=\frac{1}{7}[/tex].
Equation:[tex]y=-\frac{5}{7} x+\frac{1}{7}[/tex]
There were f frogs in a pond. 88 of the frogs hopped away. Write an expression that shows how many frogs are in the pond now.
Answer: f - 88 = p
Step-by-step explanation:
f = frogs
p = how many frogs in pond now
F - 88 = p
Hope this helps
Plz mark brainlest
Find the quotient using polynomial long division:
1. (50y^3+10y^2-35y-7)divided by(5y-4)
2. (8m^4-4m^2+m+4)divided by(2m+1)
(1) [tex]50y^3=5y\cdot 10y^2[/tex], and
[tex]10y^2\cdot(5y-4)=50y^3-40y^2[/tex]
Subtract this from [tex]50y^3+10y^2-35y-7[/tex] to get a remainder of
[tex](50y^3+10y^2-35y-7)-(50y^3-40y^2)=50y^2-35y-7[/tex]
What we've done here is show that
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+\dfrac{50y^2-35y-7}{5y-4}[/tex]
We can keep going as long as the degree of the remainder's numerator is at least the same as the degree of its denominator.
Next, [tex]50y^2=5y\cdot 10y[/tex], and
[tex]10y\cdot(5y-4)=50y^2-40y[/tex]
Subtract this from the previous remainder to get a new remainder of
[tex](50y^2-35y-7)-(50y^2-40y)=5y-7[/tex]
which means
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=10y^2+10y+\dfrac{5y-7}{5y-4}[/tex]
Finally, [tex]5y=5y\cdot1[/tex], and
[tex]1\cdot(5y-4)=5y-4[/tex]
Subtract this from the previous remainder to get
[tex](5y-7)-(5y-4)=-3[/tex]
So we end up with
[tex]\dfrac{50y^3+10y^2-35y-7}{5y-4}=\boxed{10y^2+10y+1}-\dfrac3{5y-4}[/tex]
(the quotient is the expression in the box)
(2) Using the same process as before:
[tex]8m^4=2m\cdot4m^3[/tex]
[tex]4m^3\cdot(2m+1)=8m^4+4m^3[/tex]
[tex](8m^4-4m^2+m+4)-(8m^4+4m^3)=-4m^3-4m^2+m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-\dfrac{4m^3+4m^2+m+4}{2m+1}[/tex]
[tex]-4m^3=2m\cdot(-2m^2)[/tex]
[tex]-2m^2\cdot(2m+1)=-4m^3-2m^2[/tex]
[tex](-4m^3-4m^2+m+4)-(-4m^3-2m^2)=-2m^2+m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-\dfrac{2m^2-m-4}{2m+1}[/tex]
[tex]-2m^2=2m\cdot(-m)[/tex]
[tex]-m\cdot(2m+1)=-2m^2-m[/tex]
[tex](-2m^2+m+4)-(-2m^2-m)=2m+4[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=4m^3-2m^2-m+\dfrac{2m+4}{2m+1}[/tex]
[tex]2m=2m\cdot1[/tex]
[tex]1\cdot(2m+1)=2m+1[/tex]
[tex](2m+4)-(2m+1)=3[/tex]
[tex]\implies\dfrac{8m^4-4m^2+m+4}{2m+1}=\boxed{4m^3-2m^2-m+1}+\dfrac3{2m+1}[/tex]
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of milk per cups of water are there?
1/7 cups of milk per 1 cup of water
1/12 cups of milk per 1 cup of water
3/4 cups of milk per 1 cup of water
4/3 cup of milk per 1 cup of water
OC
What is the slope of the line represented by the equation y=-2/3-5x?
Answer:
-5
Step-by-step explanation:
Your basic equation if y = mx + b
Convert your equation to the above format: y = -5x -2/3
Now you can see that your slope is -5
Answer:
- 5
Step-by-step explanation:
[tex]y = - \frac{2}{3} - 5x \\ y = - 5x - \frac{2}{3} ..(1) \\ equating \:equation \: by (1) \: \\ y = mx + b \\ slope \: (m) = - 5[/tex]
A girl is 6 feet tall and casts a shadow that is 4
feet long. A building casts a shadow that is 40
feet long. How tall is the building?
Answer:
60 ft tall
Step-by-step explanation:
tall | 6 | x
shadow | 4 | 40
4 times 10 = 40
6 times 10 = 60
Answer:
60 ft tall
Step-by-step explanation:
solve for d:
4−d<4+d
Answer:
d > 0
Step-by-step explanation:
Long division is completed using the standard algorithm for division,
O True
O False
simplify using i 3+2i/6+5i
Evalute j/4 when j = 12
Answer:
3
Step-by-step explanation:
j/4
Let j = 12
12/4
3
Reminders? The answer?
Answer:
67, no remainder.
Step-by-step explanation:
Answer:
67, no remainder.
Step-by-step explanation:
Need ASAP!! Helppppp
Answer:
171 degrees (C)
Step-by-step explanation:
Because you have to find the overall angle you add both angles together, hence giving you 171 (C)
Answer:
171°
Step-by-step explanation:
Angle KJU = 67° Angle UJI = 104°
By adding 67 and 104, you would get 171, which is the angle of KJI.
Determine the domain of the following graph:
Answer and explanation:
The domain would be [-9,3]. A closed circle lets you know if you will have to put parenthesis or a bracket when writing the domain. You can use every number between -9 and 3, including -9 and 3.
The domain of the given graph is -9 ≤ x ≤ 3.
What is domain ?The domain of a function f is the set of all values of x for which f(x) is defined and real.
Now from the given graph it is seen that the graph runs from -9 to 3 on x-axis.
and it is known that the domain of the graph is the set of all possible values of x.
Hence the required domain the given graph is written as,
-9 ≤ x ≤ 3
Thus, the domain of the given graph is -9 ≤ x ≤ 3.
To learn more about domain of the graph :
https://brainly.com/question/20035161
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3c = 18 do I multiply 3 by 6
Answer:
to find c you divide 18 by 3 to find that c = 6
Answer:
c would equal 6
Step-by-step explanation:
3(6) = 18
4x + 5 = 2x
Helpp please
Answer:
x=-2.5
Step-by-step explanation:
Answer:
x= -5/2
Step-by-step explanation:
i just did scratch work an figured it out.. Lemme kno if u need ore help-..:):)
Please help ASAP! Will give brainliest if correct!
Answer:
you are trying to get up to 180 ( a straight line is 180 degrees).
So 26+32 =58 and go through your answer choices to see which one adds up to 180
and it that case your answer would be A 122+58=180
Step-by-step explanation:
Solve for y 46=2y Simplify your answer as much as possible...
Answer:
23
Step-by-step explanation:
2y=46
y=46/2
y=23
hope this helps!!
Answer:
Y=23
Step-by-step explanation:
If you follow pemdas then you know you have to divide both sides by 2 because its oppisite and when you divide 46 by 2 you get 23 and 2y divided by 2 would be 1y also just known as y and your answer is 23=y
-2/5x + 2 find the inverse
Find the value mean value of 5,15,25,25,45.
Answer:
[tex]\boxed {\tt 23}[/tex]
Step-by-step explanation:
In order to find the mean, we must add all the values together, then divide by the number of values.
1. Add the values together
The values are: 5, 15, 25, 25, 45 Add the together: 5+ 15 + 25 + 25 +45=1152. Divide by the number of values.
Count how many values are in the set of data. There are 5 values. Divide by 5.
Divide: 115/5 =23The mean is 23.
Identify the property that justifies each step asked about in the answer area below. Line 1: \text{Line 1: }\phantom{=}Line 1: = 4(8+9x)\,\,4(8+9x)4(8+9x) Line 2: \text{Line 2: }\phantom{=}Line 2: = 4(9x+8)\,\,4(9x+8)4(9x+8) Line 3: \text{Line 3: }\phantom{=}Line 3: = 36x+32\,\,36x+3236x+32 Line 1 to Line 2: Line 2 to Line 3:
Answer:
1. Commutative Property of Addition
2. Distributive property
Step-by-step explanation:
Given
[tex]Line 1: 4(8+9x)[/tex]
[tex]Line 2: 4(9x+8)[/tex]
[tex]Line 3: 36x+32[/tex]
Required
Justify each step
From Line 1 to 2:
The property from Line 1 to 2 depicts [tex]a + b = b + a[/tex];
i.e.
[tex]4(8 + 9x) = 4(9x + 8)[/tex]
This is referred to as Commutative Property of Addition
From Line 2 to 3:
The property here depicts [tex]a(b + c) = a * b + b * c[/tex]
i.e.
[tex]4(9x + 8) = 4 * 9x + 4 * 8[/tex]
[tex]4(9x + 8) = 36x + 32[/tex]
This is referred to as Distributive property
Answer:
Line 1 to Line 2: Commutative Property of Addition
Line 2 to Line 3: Associative Property of Addition
Step-by-step explanation:
does that answer anything
What is the slope of 0,0 8,24
Answer:
m=3
Step-by-step explanation:
:D
Answer:
m ≈ 3
Step-by-step explanation:
hope this helps!
~mina
k( 3х - 2) = 4 - 6x
Answer:
k=-2
Step-by-step explanation:
k(3x-2)=4-6×k(3x-2)=-2(3x-2)k=-2Can you help me with the problem listed in the pictures below? Please and thank you. Will mark BRAINLIEST!!! :)
Answer:
24
Step-by-step explanation:
if u subrtact 207-15 u will have 192 i divided that by 8 and got 24
find the value of 4x ssquared - 2y when x=3 =2
Answer:
Since x=3 and y=2, plug into the equation.
4(3)²-2(2)
= 4(9)-4
= 36-4
= 32
# What does it mean if a quadratic polynomial
is prime? Give two examples of quadratic
polynomials that are prime. Now, find a quadratic
polynomial that is prime.
Answer:
A quadratic polynomial is a type of polynomial that cannot be factored
Examples are;
x^2 + 3x + 5
x^2 + 5x + 7
Step-by-step explanation:
A quadratic polynomial is a type of polynomial which cannot be factored. Just like prime numbers, it only has two factors, 1 and itself.
Hence, a quadratic polynomial does not have rational roots. Its roots are complex and not real
Example are as follows;
(i) x^2 + 3x + 5
(ii) x^2 + 5x + 7
[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]
# What does it mean if a quadratic polynomial
is prime? Give two examples of quadratic
polynomials that are prime. Now, find a quadratic
polynomial that is prime.
[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]
[tex]\color{red}{About \:Quadratic \: polynomials\: :-}[/tex]
➯ A polynomial having degree 2 is called a quadratic polynomial.
➯ The form of quadratic polynomial is
[tex]p(x) = a {x}^{2} + bx + c[/tex]
➯ Degree of the quadratic polynomial will be 2.
➯ Variable of the quadratic polynomial will be 1.
[tex]\color{red}{For \:example :-}[/tex]
[tex]p(x) = 2 {x}^{2} + 5x + 3 \\ 3 \:➝ \: constant \\ 2 \: and \: 5 \: ➝ \: coefficient \\ {}^{2} \: ➝ \: degree \\ x \:➝ \: variable \:[/tex]
➯ In a quadratic polynomial there are 2 zeros because it has degree 2.
[tex]\color{red}{➯ The \: 2\: zeros \:are :-}[/tex]
[tex]i) \: \: alpha( \alpha ) \: \\ ii) \: beta \: ( \beta )[/tex]
[tex]\color{red}{For \:example :-}[/tex]
[tex]p(x) = 2 {x}^{2} + 5 + 3 \\ = 2 {x}^{2} + 2x + 3x + 3 \\ = 2x(x + 1) + 3(x + 1) \\ = (x + 1)(2x + 3) \\ \\ As, \: \: p(x) = 0 \\ \\ ❥∴ \: (x + 1)(2x + 3) = 0 \\ x + 1 = 0 \\ x = - 1 \\ \\ ❥ \: 2x + 3 = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2} \\ \\ Here, \: \alpha = - 1 \\ \beta = \frac{ - 3}{2} [/tex]
Help ASAP please I would really appreciate it thank you
Answer:
the answer would be line AC
Step-by-step explanation:
the reason. for this is because a segment is a line with two endpoints, and line AC fits that description.
Evaluate each function: 1. p(a) = 3a-2; find p(-5) 2. h(t) = 4t+2; find h(-4) 3. f(a) = 3a-4; find f(1) 4. g(x) = 3x+ 1; find g(-9) 5. k(x) = x-1; find k(5) 6. f(x) = x+1; find f(7) 7. h(t) = 4t+2; find h(-8) 8. g(x) = 2x=1; find g(2) 9. w(a) = a+4; find w(9) 10. g(n) = 4n+2; find g(-9)
The area of the star shaped surface of this block is 1.2m^2. The thickness of the block is 25cm. What is the volume of the block?
Answer:
volume = 0.30 m³
Step-by-step explanation:
GIVEN:
The area of the star shaped surface of this block is 1.2m^2.
The thickness of the block is 25cm.
FIND:
What is the volume of the block?
SOLUTION:
volume = area x length
where area = 1.2 m²; length = 0.25 m
plugin values into the formula:
volume = 1.2 m² x 0.25 m
= 0.30 m³
therefore, the volume of the star shaped block is 0.30 m³
Which is NOT true?
A
10 + 9 = 7 + 12
B.
10 = 10
c
10 - 4 = 3 + 3
D.
10 = 19 - 11
Answer:
D
Step-by-step explanation:
BECAUSE 19-11 ISNT 10
Answer:
D. 10= 19-11
Step-by-step explanation:
A. 10+9=19 and 7+12= 19
B. 10=10
C. 10- 4 = 6 and 3+3=6
D.19-11=8 not 10
A farmer has 180 yards of fencing material to make a rectangular
pen subdivided into 3 smaller pens. If the total length of the pens
is to be 60 yards, at most, how wide can the rectangle be?
Answer: 60 yd
Step-by-step explanation:
Here: subdivided into 3 smaller pens (2w + w + w) extra widths for separation purposes (3 smaller pens)
180 yards of fencing material
180yd = 2L + 4w
180dy = 2*60 + 4w
60dy = 4w
w = 15yd, how wide can the rectangle can be with L = 60yd