what is the x-intercept of a line that passes through the point (3,4) and has a slope of 2?
Answer:
(1,0)
Step-by-step explanation:
Hi there!
We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2
First, let's find the line
We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
We do have everything needed to write the equation, let's just label everything to avoid confusion:
m=2
[tex]x_1=3[/tex]
[tex]y_1[/tex]=4
Now substitute those values as the variables that they represent into the equation:
[tex]y-y_1=m(x-x_1)[/tex]
y-4=2(x-3)
Now we have the equation in slope-point form
The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0
So we can substitute y as 0 in the equation to find out the value of x:
y-4=2(x-3)
0-4=2(x-3)
Multiply
0-4=2x-6
Add 6 to both sides
0+2=2x
Simplify the left
2=2x
Divide both sides by 2
1=x
So the value of the x intercept is 1, also written as the point (1,0)
Hope this helps!
If f is an always positive, differentiable function and y = ln(f(sin x)), what is y’ when x=4 ?
Answer:
cos(4) f'(sin 4)/f(sin 4) is y' at x=4
Step-by-step explanation:
We can't actually find the numerical value for this without more information.
We are given:
y=ln(f(sin x))
This is equivalent to
e^y=f(sin x)
Differentiate both sides:
y' e^y=cos(x) f'(sin x)
Divide both sides by e^y:
y' =cos(x) f'(sin x)/e^y
Rewrite in terms of x using that e^y=f(sin x):
y' =cos(x) f'(sin x)/f(sin x)
Now replace x with 4:
cos(4) f'(sin 4)/f(sin 4) is y' at x=4
Which rational expression does not have any excluded values?
x+2/2x^2
2x+4/3x+3
6x-5/x^2-7
x+2/-x^2-5
Answer:
D.
Step-by-step explanation:
An excluded value often comes from a zero in the denominator.
Set each denominator equal to zero creating an equation in x. If there is a solution to the equation, then there are excluded values. If the equation has no solution, then there are no excluded values.
A.
2x^2 = 0
x = 0
excluded value
B.
3x + 3 = 0
3x = -3
x = -1
excluded value
C.
x² - 7 = 0
x² = 7
x = √7 or x = -√7
excluded values
D.
-x² - 5 = 0
x² = -5
x = √(-5) or x = -√(-5)
There is no real solution for x.
no excluded values
Answer: D
Can some one help me solve this
Hello mashiamcphee141!
Let's solve for x in the given question.
[tex]\sf\:\frac { x + 3 } { 2 } + \frac { 2 x } { 7 } = 7\\\sf\:7\left(x+3\right)+2\times 2x=98 \\\sf\:7x+21+2\times 2x=98 \\\sf\:11x+21=98 \\\sf\:11x=98-21 \\\sf\:11x=77 \\\sf\:x=\frac{77}{11} \\\boxed{\sf\:x=7 }[/tex]
Steps :-
At first, multiply both sides of the equation by the LCM = 14.Now, simplify the equation using distributive property & other operations. We'll get the value of 'x' as 7.See the attachment if the working is not clear.
____________
[tex]\mathfrak{Lucazz}[/tex]
Given that:
[{(x+3)/2} + (2x/7)] = 7
Take the LCM of 2 and 7 is 14.
⇛[{7(x+3)+2(2x)}/14] = 7
⇛[{7x+21 + 4x}/14] = 7
⇛[{11x+21}/14] = 7/1
Now,
By using cross multiplication method,we get
⇛1(11x+21) = 7(14)
⇛11x + 21 = 58
⇛11x = 58-21
⇛11x = 37
∴ x = 37/11
Hence, the value of x will be 37/11 respectively.
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Solve the equation- [tex] \frac{5}{x - 3} - \frac{4}{x + 4} = \frac{1}{x} [/tex] He…
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Grafica
Y=X^2.
Y=-x^2.
Y=x^2 +2
Y=X^2-2
Y=2x^2
Answer:
y=x^2 is a parabola when y is x squared
y=-x^2 is the first one but when it is flipped over the x axis
y=x^2+2 is the first one shifted two up
y=x^2-2 is the third one but shifted 4 units down
y=2x^2 is the first one but two times the square of x
Step-by-step explanation:
In the puzzle below, A, B and C are represented by different positive integers. In this case, only odd numbers are needed for consideration, Can you make a couple of quick deductions to determine the value of A
A B
X C
-------
AAA
Answer:
x
Step-by-step explanation:
1) x + x + 8x + 12 =
x + x + 8x + 12 = ...
= 2x + 8x + 12
= 10x + 12
~aljabar
x + x + 8x + 12
= 1x + 1x + 8 + 12
= (1 + 1 + 8)x + 12
= 10x + 12 ✔️
:)
Can somebody answer this?
Answer:
its A
Step-by-step explanation:
What does the y-intercept represent in this situation? The weight of oats, in pounds, in the final mixture. The weight of hay, in pounds in the final mixture. The amount of protein the feed has if no oats are added. The amount of protein the feed has if no hay is added.
Your welcome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The y-intercept in the situation given represents: C. The amount of protein the feed has if no oats are added.
What is the Y-intercept of a Linear Function?The y-intercept of a linear function is the initial value or the value of y when x equals 0.
The initial value in this situation is the amount of protein in the feed when the amount of oats added is 0.
Therefore, the y-intercept represents: C. The amount of protein the feed has if no oats are added.
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Complete the expression that represents the prime factorization of 492.
Type the factors in the increasing order.
492 = 2 × 2×
×
Answer:
The prime factors of 492 are 2, 3, 41.
Step-by-step explanation:
→ 492 = 2 × 2 × ? × ?
→ 492 = 2 × 2 × 3 × 41
Let's check,
→ 492 = (2 × 2) × (3 × 41)
→ 492 = 4 × 123
→ 492 = 492
→ LHS = RHS
Hence, prime factors of 492 are 2, 3, 41.
simplify:...... (3x⁴)³
Answer:
27[tex]x^{12}[/tex]
Step-by-step explanation:
Long way: 3x^4)^3 means that 3x^4 will be multiply by itself three times
[tex](3x^{4})^3 = (3x^{4})(3x^{4} )(3x^{4} ) =27x^{12}[/tex]
Short way [tex]3^{3}[/tex] ([tex]x^{4(3)}[/tex] ) = 27[tex]x^{12}[/tex]
simplify - 8t + 3r - 7t - 9r
Answer:
15t+12r
Step-by-step explanation:
you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r
do anybody know the answer to dis
53.9 - 5.07
Answer:
48.83
Step-by-step explanation
How could you convince someone that the square root of 50 must
be just a tiny bit more than 7?
Answer:
[tex] \sqrt{50 } [/tex]
u could ask them to calculate it themself
the answer is 7.07
The square root of 50 is equal to 7.07 which is more than 7.
What is a radical expression?
An nth root of a number x in mathematics is a number r that, when raised to the power n, equals x: display style [tex]r^n=x,[/tex] where n is a positive integer, also known as the degree of the root. Degree 3 roots are referred to as cube roots, while degree 2 roots are known as square roots.
Given that the square root of 50 is greater than 7. The value of the square root of the number 50 will be:-
√50 = 7.07
Therefore, the square root of 50 is equal to 7.07 which is more than 7.
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you have $5.88. You buy 8 items that cost $0.44 each How many items much money do you have left?
Answer:
$2.36
Step-by-step explanation:
0.44 x 8 = 3.52
5.88 - 3.52 = 2.36
$2.36
-Chetan K
pls help will mark as brainlist
A has 12 sides B is 5 sides
Step-by-step explanation:
Answer:
A. 12 B. 5
Step-by-step explanation:
First we will do B.
Interior is 108 degrees Lets make an equation, 108={(n-2)*180}/n
Let's simplify
Now we have 108n=180n-360
180n-108n=360
Now we have 72n=360
n=5.
Now time for the first one.
150={(n-2)*180}/n
150=180n-360
180n-150n=360
30n=360
n=12
Directions: Solve for x, then find each angle measure
Answer:
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
so
9x + 3 + 11x - 21 + 5x - 2 = 180
25x = 180 - 3 + 21 + 2
25x = 200
x = 200 : 25
x = 8
----------------
E = 9 * 8 + 3 = 75°
D = 5 * 8 -2 = 38°
F = 11 * 8 - 21 = 67
-------------------------
check
75 + 37 + 67 = 180°
The required simplified value of the x is 8, as of the given condition.
A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8
Thus, the required simplified value of the x is 8.
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Write a real-life word problem that can be solved using the system of inequalities below. Be sure to define the variables. x + 4y < 400 x + 6y > 400 Scoring Rubric Scoring Rubric Sample Responses: Two customers each bought the same table and some of the same chairs from a furniture store. The first customer bought 1 table and 4 chairs and spent less than $400. The second customer bought 1 table and 6 chairs and spent more than $400. What could be the price of each chair (y)? Kyle and Jasmine each bought tickets for a concert. Kyle bought 1 student ticket and 4 adult tickets and spent less than $400. Jasmine purchased 1 student ticket and 6 adult tickets and spent more than $400. What could be the price of the adult ticket (y)? Two head coaches bought shirts for their coaching staff. The first coach bought 1 head coach shirt and 4 assistant coach shirts and spent less than $400. The second coach bought 1 head coach shirt and 6 assistant coach shirts and spent more than $400. What could be the price of each assistant coach shirt (y)? Two customers each bought a surround sound system and new movies from an electronic store. The first customer bought the surround sound system and 4 new movies and spent less than $400. The second customer bought the surround sound system and 6 new movies and spent more than $400. What could be the price of each movie (y)? 2 Points The response indicates proficiency in creating real-life word problems that can be represented by given systems of inequalities. The response includes the definition of each variable. The student correctly completes the task. 1 Point The response indicates partial proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student correctly completes the task but makes a minor error. Answers that give a word problem but do not involve a real-life situation receive 1 point. Answers that give a real-life word problem but do not include the definition of each variable receive 1 point. 0 Points The response indicates no proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student shows no understanding of the concept or task. Answers that simply solve the system but do not give a word problem receive 0 points.
Greg and George bought shoes at a local store. Greg bought one dress shoe and 4 sneakers and spent less than $400.
George bought one dress shoe and 6 sneakers and spent more than $400.
Inequality signs < and > denote less than and greater than respectively.
To solve the above inequalities in order to find x and y prices, a pair of solutions will be the result since linear inequalities with two variables will have a range of solutions
In other words, to find x and y for the inequalities we find a point (x,y) that satisfies the inequality.
Example: if the price of a dress shoe is $80 and the price of a sneaker is $60, it satisfies the system of inequalities for Greg and George since their shoe expenses stay below and above $400 respectively.
We could then say that the point (80,60) is one of the solutions to the inequalities.
We could graph the inequalities in order to find points on the graph that satisfy the inequalities. To graph the inequality we make the equation a linear equation x+4y=400 and plot a straight line in accordance to the inequality. All points above the line satisfy George's inequality and vice versa.
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Mark of Ben in semester 1 examination is 586:600. Convert it into percentage
Answer:
97.67
Step-by-step explanation:
600 = 100%
586 = x%
[tex]\frac{100}{x} = \frac{600}{586}[/tex]
x = [tex]\frac{586.100}{600}[/tex] = [tex]\frac{586.100}{6.100}[/tex] = [tex]\frac{586}{6}[/tex] = 97.67
The cost of 6 purses is Rs.453. How many such purses can be bought for Rs.604
Answer:
8 Purses
Step-by-step explanation:
6 divided by 453= 75.5
604 divided by 75.5= 8
Plz give brainliest
Victor borrowed $18.50 from his mother to go to the theater. A week later, he paid her $18.50 back. How much does he still owe her? He owes her $
Answer:
0
Step-by-step explanation:
Math question in attachment
Answer:
Nope
Step-by-step explanation:
If you do the line test you would see that two dots touch the line and that means it is not a function.
What is the solution of 2x-5(x-4)=-8+5x-12.
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
how to convert m to mm
think of two numbers which when add give 5 and substracts give 1
Answer:
3 and 2
Step-by-step explanation:
3+2=5
3-2=1
Hope this helps!!
fill in the two blanks Geometry problem, Two sides of a triangle have Lengths 15 and 20 the length of the third side can be any number greater than blank and less than blank
Answer:
15*20=300
Step-by-step explanation:
The two lengths is equal to there hundred
It is currently 0°C outside. The temperature is dropping 2.5°C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below −20°C.
Answer:
-2.5x < -20
Step-by-step explanation:
x represents the number of hours that must pass for the temperature to drop below −20°C.
what is the degree measure of the missing angle? 84 34 114 24
Answer:
24°
Step-by-step explanation:
We are given that m∠EFG is a right angle, and that m∠EFH = 66°
m∠EFH + m∠HFG = m∠EFG
Substitute values and solve.
66 + m∠HFG = 90
m∠HFG = 24°
ROUND TO THE NEAREST WHOLE NUMBER
16968.3
Answer:
16968
Step-by-step explanation:
Answer:
16,968
Hope this helps :)
Find a translation that has the same effect as the composition of translations below. (x,y) → (X + 2, Y + 2) followed by (x,y)=(x-1,y+5)
Choose the correct answer below.
O A. (x,y)=(x+3.y + 7)
OB. (x,y)=(x + 1 y + 7)
OC. (x,y)=(x + 1,y-3)
OD. (x,y)=(X+3.y-3)
urgent will mark brainliest!!!
B) (X + 1, Y + 7)
We start with X + 2, we then take away X - 1, we are left with X + 1.
We start with Y + 2, we then add Y + 5, we are left with Y + 7.
The only option that has both X + 1 and Y + 7 is B.
I hope this helps! :)