♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]U(n + 1) = kU(n) + r[/tex]
_________________________________
[tex]n = 1[/tex]
[tex]U(1 + 1) = kU(1) + r[/tex]
[tex]U(2) = k \times U(1) + r[/tex]
[tex]188 = k \times (37) + r[/tex]
[tex]37k + r = 188 \: \: \: (( \alpha ))[/tex]_________________________________
[tex]n = 2[/tex]
[tex]U(2 + 1) = kU(2) + r[/tex]
[tex]U(3) = k \times U(2) + r[/tex]
[tex]943 = k \times (188) + r[/tex]
[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]
_________________________________
[tex]188k + r = 943 \: \: \: (( \beta ))[/tex]
[tex]37k + r = 188 \: \: \: \: \: (( \alpha ))[/tex]
[tex](( \beta )) - (( \alpha )) = [/tex]
[tex]188k - 37k + r - r = 943 - 188 \\ [/tex]
[tex]151k = 755[/tex]
Divide sides by 151
[tex] \frac{151k}{151} = \frac{755}{151} \\ [/tex]
[tex]k = 5[/tex]
Put the value of k in one of the equations to find the r :
[tex]37k + r = 188[/tex]
[tex]37 \times (5) + r = 188[/tex]
[tex]185 + r = 188[/tex]
[tex]r + 185 = 188[/tex]
Subtract sides 185
[tex]r + 185 - 185 = 188 - 185[/tex]
[tex]r = 3[/tex]
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A line has a slope of 3/2 and has a x-intercept of 2 . What is the y-intercept of the line?
Answer:
- 3
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 )
Here m = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute the x- intercept (2, 0 ) into the partial equation
0 = 3 + c ⇒ c = 0 - 3 = - 3 ← y- intercept
what is the value of x?
Answer:
I honestly have no clue.
Step-by-step explanation:
I honestly have no clue.
ms.kirklan is baking muffins.each batch of muffins use 3/4 of a pound of flour. How many batches of muffins can she bake with 5 pounds of flour
The number of batches of muffins Ms.Kirklan can bake with 5 pounds of flour is 7.
Given that, Ms.Kirklan is baking muffins. Each batch of muffins use 3/4 of a pound of flour.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
We need to find the number of muffins she can bake with 5 pounds of flour
Now, 5 ÷ 3/4
= 5 ÷ 0.75
= 6.6
≈ 7
Hence, the number of batches of muffins Ms.Kirklan can bake with 5 pounds of flour is 7.
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Given p(x)=2x^3-3x-5 what is the value of p (-2)
Answer:
The value of p(x) at -2 is:
[tex]p(-2) = -15[/tex]
Step-by-step explanation:
Given polynomials is:
[tex]p(x) = 2x^3-3x-5[/tex]
We have to find p(-2)
This means that we have to find the value of the polynomial at -2. Finding value of a polynomial at a certain number is done by putting the number in the polynomial in place of variable. So putting x = -2
[tex]p(-2) = 2(-2)^3-3(-2)-5\\= 2(-8)+6-5\\= -16+1\\=-15[/tex]
Hence,
The value of p(x) at -2 is:
[tex]p(-2) = -15[/tex]
what is f(x) = 0,5 (x-3)( x-5) in general form??
Answer:
[tex]f(x)=0.5x^2-4x+7.5[/tex]
Step-by-step explanation:
The general form of a quadratic function is:
[tex]y=ax^2+bx+c[/tex]
We'll find the general form of the function:
[tex]f(x)=0.5(x-3)(x-5)[/tex]
Multiplying the expressions in parentheses:
[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]
Simplifying:
[tex]f(x)=0.5(x^2-8x+15)[/tex]
Operating:
[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]
Which statement regarding the diagram is true?
m∠MKL + m∠MLK = m∠JKM
m∠KML + m∠MLK = m∠JKM
m∠MKL + m∠MLK = 180°
m∠JKM + m∠MLK = 180°
Answer:
b. m∠KML + m∠MLK = m∠JKM
Step-by-step explanation:
right on edge
The statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture:
As we know, triangle is a polygon with three sides and three interior angles.
From the definition of the triangle, The triangle's interior angles add up to 180°
m∠MKL + m∠MLK + m∠KML = 180
Also, the sum of the two interior angles is equal to the exterior angle.
m∠KML + m∠MLK = m∠JKM
Thus, the statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.
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Every 2.5 hours, a machine produces 150 baskets.
What is the unit rate of this proportional relationship? (Hint: You are trying to find how many baskets in one hour.)
60 baskets per hour
60 baskets per hour
2.5 baskets per hour
2.5 baskets per hour
25 baskets per hour
25 baskets per hour
16.6 baskets per hour
Answer:
60
Step-by-step explanation:
We use unit rate function,
Let h be hours
Let b be baskets
2.5h = 150b
We divide both sides by 2.5
2.5h/2.5 = 150b/2.5
Which will give us
h = 60
& represents 29 students in a class
B represents students who have a brother
S represents students who have a sister
В.
S
7
4
2x
x + 3
7+4+2x+x+3=29
a) One student from the class is chosen at random.
What is the probability that the student has a sister? 14+3x=29
3x=15
X=5
29-8=21
Answer:
a) 14/ 29
b) 4/11
Step-by-step explanation:
x = 5
Please help I will give brainliest to first person who answers!
Answer:
71 degrees
It's the measure of angle 1.
-10 + 4
plz heeeeeelp
Answer:
-6
Step-by-step explanation:
Answer:
- 6
Step-by-step explanation:
What is the slope of the line through (0,5) and (-2,-1)?
Answer:
c
Step-by-step explanation:
the slope is 3
Which equation represents a proportional relationship?
a y = 7x – 3
b y = 150x
c y = 21x
d y = 2x + 1
I am not certain but I think c? if its wrong sorry
Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
I am going to assume that the equation was supposed to be [tex]9y^{5}[/tex][tex]-10y^{3}[/tex]
Answer:
It is a polynomial. It is a binomial and it has a degree of 5.
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so [tex]9y^{5}[/tex][tex]-10y^{3}[/tex] will be considered a polynomial.
A binomial is a polynomial with 2 terms.
The degree of a polynomial is the highest exponent in it which in this equation is 5.
PLEASE HELP:(........thank you
Answer:
the answer is C
Step-by-step explanation:
what is the slope of the line 5x +2y = -15
Answer:
-5/2
Step-by-step explanation:
5x +2y = -15
-5x -5x
2y = -5x - 15
y = -5/2x - 7.5
y = mx + b
Slope (m) = -5/2
down 5, right 2
idenify the slope and y-intercept of the function y=-2x+3
Answer:
The y-interept is 3 and the slope is -2.
Step-by-step explanation:
The y-intercept is always the "b" in y=mx+b
Answer:
Slope: − 2
y-intercept: ( 0 , 3 )
Step-by-step explanation:
The graph shows the membership of a student group: x represents the number of years since the group was formed and y represents the number of members.
The equation is y = 14x + 10.
Which is true regarding the slope?
Membership grows by 14 each year.
The group was formed with 14 members.
Membership is recorded every 14 years.
Answer:
we conclude that Membership grows by 14 each year.
Step-by-step explanation:
Given the equation
[tex]y=14x+10[/tex]
Comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here, m is the slope and b is the y-intercept.
From the equation, we can determine the slope
[tex]y=14x+10[/tex]
[tex]m=14[/tex] ∵ [tex]y=mx+b[/tex]
Hence, the slope is m=16.
We know that the slope is referred to as the 'rate of change'.
For example, if you have a part-time job at a store. You save for her tour at a rate of $20 every week. It means, your rate of change will be $20 per week.
So given the equation
[tex]y=14x+10[/tex]
m = rate of change = slope = 24
The slope is basically a vertical change divided by the horizontal change.
Therefore, we conclude that Membership grows by 14 each year.
Please help me out :)
Please answer this question it is for Math!
Answer:do you mean plotting a graph
Step-by-step explanation:
What is the rate of change of y with respect to x for 25x - 4y = 50 ?
Answer:
25/4Step-by-step explanation:
The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c where m is the slope.
Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;
25x - 4y = 50
-4y = -25x+50
Divide through b y -4
-4y/-4 = -25x/-4 + 50/-4
y = 25/4 x - 25/2
Comparing with y = mx+c
mx = 25/4 x
m = 25/4
Hence the rate of change of y with respect to x is 25/4
The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
Given the equation:
[tex]25x - 4y = 50[/tex]
The rate of change = the slope of the line
To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]Where, slope = mThus,[tex]25x - 4y = 50[/tex]
Add 25x to both sides of the equation[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]
Divide both sides by -4[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]
Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
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whats 1/2 + 8 9/14 please help ASAP
Answer: 9 /17 as fraction 9.143 Simplify
Step-by-step explanation:
Answer:
9 1/7
The explanain of this is that 1/2 + 8 + 9 1/4 so... 1/2+9/14=?
7 1/4 + 9/14=16/14 and so... 16/14=8/7 then.. 8/7=1 1/7 then last thing 8 + 1 + 1/7= 9 1/7
23p+1/4-1/4(8p+1)=5(4p-6)+10
What is p?
Answer:
p= -20
Step-by-step explanation:
23p+1/4-1/4(8p+1)=5(4p-6)+10
23p+1/4-2p-1/4=20p-30+10
21p=20p-20
p= -20
At noon, the minute and the hour hands overlap. In how long will they overlap again?
Answer:
1 hour or 60 minutes later
Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?
Answer and Step-by-step explanation:
The computation is shown below;
Here we use the binomial distribution
p = 40 ÷ 85 = 0.47
q = 1 -0.47 = 0.53
n = 180
Now
mean [tex]\mu[/tex]
= np
= 180 × 0.47
= 84.6
The Variance is
= npq
= 180 × 0.47 × 0.53
= 44.84
And, Standard deviation
= √npq
= √44.84
= 6.69
We simply applied the above formula so that the correct value could come
And, the same is to be considered
PLZ HELP ASAP 20 POINTS!! wrote an equation in slope-intercept (y=mx+b) form for each line.
Answer: I’m sorry I cannot explain this any other way because I can not see the answers but —> If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line. ✨
Step-by-step explanation: hope it help you later on!
Answer:
Y= -4x + 3
Step-by-step explanation: because the x value goes with mx, and the y value goes with b. :)
A line contains points (3,5) and (5,8). What is the slope
Answer:
3/2x
Step-by-step explanation:
Plug in to this formula
[tex]\frac{y2-y1}{x2-x1} \\\\\frac{8-5}{5-3} \\\\\frac{3}{2}[/tex]
Your slope is 3/2x
If you want to find the y-intercept just plug in one of the points into this..
( ) = 3/2( ) + b
Hope this helps ya!!
13 x 24 =
pleze go very fast or i mite fale
Answer:
312
Step-by-step explanation:
someone help please
Answer:
Type: polynomial
degree: 3
leading coefficient: 8
Step-by-step explanation:
The given equation is: f(x) = -7x^2 + 8x^3 + 6 - 4x
To find the type, degree, and leading coefficient of the equation, the first thing we should do is rewrite the terms in decreasing order:
f(x) = 8x^3 - 7x^2 - 4x + 6
The term with the highest value is 8x^3. We can use this to determine the degree and the leading coefficient.
8 is the leading coefficient. The degree is 3.
To find the type of equation this is, we have to count how many terms there are. We can see that there are 4 terms in this equation, making this a polynomial.
plz help me with this plz
Answer:
Slope: [tex]-\frac{3}{4}[/tex]
Y intercept: 7
Equation: [tex]y=-\frac{3}{4}x+7[/tex]
Step-by-step explanation:
The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is -3 (since it decreased by 3) and the run (difference between the two x values) is 4 (since it increased by 4).
This gives us a slope of [tex]-\frac{3}{4}[/tex].
The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
I'll mark you brainiest if you give me the correct answer.
Answer:
42b -7.5
I think that's the answer since you are getting a discount which means you are subtracting