Answer:
See graph below of the line y - 5 = - 4 (x - 3) OR y = -4 x + 17Step-by-step explanation:
We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.
Equation of the Line
y - 5 = - 4 (x - 3)
Finding x and y-intercepts
y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)
since y - 5 = - 4 (x - 3)
y - 5 = -4 x + 12
y = -4 x + 17
∴ point of the y-intercept is (0, 17)
x-intercept occurs when y = 0
y = -4 x + 17
0 = -4 x + 17
-17 = -4x
x = ¹⁷/₄
∴ point of the x-intercept is (¹⁷/₄, 0)
Graph the line
We can now plug in the points and draw the line.
See the example below.
Note: You only need two points to graph the line. I just did a third as a check.
What is the value of ? show your work help please.
Answer:
Step-by-step explanation:
[tex]\frac{25}{20}=\frac{30}{4x-4}\\\frac{30}{1.25}=4x-4\\x=7[/tex]
Answer:
x = 7
Step-by-step explanation:
I'm assuming ΔJKL and ΔMNP are similar as you wouldn't be able to solve it otherwise. ∠J≅∠M and ∠K≅∠N, so I assume its just a poorly formed question.
With that assumption made, if 2 triangles are similar, the scale factor on all sides are equal. That means this:
[tex]\frac{JK}{MN} =\frac{JL}{MP}[/tex]
The scale factor is just the new length divided by the old length, and that equation shows the scale factor on both of those side lengths are the same. With 3 of the 4 side lengths, you can plug those values in and solve for the last unknown.
[tex]\frac{25}{30} =\frac{20}{4x-4}[/tex]
I use cross multiplication here:
[tex]25(4x-4)=20(30)\\100x-100=600\\100x=700\\x=7[/tex]
Given f(x) = 8 — x/6 evaluate f(66). Leave your answer in fraction form.
Answer:
f(66) = -3
Step-by-step explanation:
f(x) = 8 - x/6 Substitute 66 for the vale of x and solve
f(66) = 8 - 66/6
f(66) = 8 - 11
f(66) = -3
Can you answer the question and explain it to me simply im just in 5th grade and i dont get it
Answer:
13/20
Step-by-step explanation:
12/20-4/20+5/20=
8/20+5/20=
13/20
Answer:
[tex] \frac{13}{20} [/tex]
Step-by-step explanation:
Before we can do anything with the fractions, we need to find a common denominator.
To do that, we will first divide 10 by 2 to get a denominator of 5, and whatever we do to the bottom we must do to the top as well. So we will also divide 6 by 2 to get 3.
So 6/10 has now been simplified to 3/5.
Next we can subtract 1/5 from 3/5 since they both share a common denominator of 5, now we have 2/5.
Now in order to find the common denominator of 2/5 and 1/4, we will simply cross multiply the two fractions together like so: (2 × 4 = 8 and 5 × 1 = 5), to get 8/20 and 5/20. So now we can add 8 and 5 normally, since they both share a common denominator now. That's how you get 13/20.
Hope it helps :)
I tried to keep it simple for you.
Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?
Answer:
380 days
Step-by-step explanation:
38 × 1 = 38 38 × 6 = 228
38 × 2 = 76 38 × 7 = 266
38 × 3 = 114 38 × 8 = 304
38 × 4 = 152 38 × 9 = 342
38 × 5 = 190 38 × 10 = 380
20 × 1 = 20 20 × 6 = 120
20 × 2 = 40 20 × 7 = 140
20 × 3 = 60 20 × 8 = 160
20 × 4 = 80 20 × 9 = 180
20 × 5 = 100 20 × 10 = 200
20 x 10 = 200 20 x 20 = 400
so 20 x 19 = 380
First common number in both times table is 380
Please help and please no links..thanks ¯\_(ツ)_/¯
Answer:
[tex]\frac{c}{4} +5 = 7[/tex]
Step-by-step explanation:
The wording, "the quotient of a number and 4," can be displayed as c/4. C would be our variable for the number because the question asks specifically for it. 5 more would demonstrate that we're adding 5 more to our equation. Which would result in c/4 + 5. However, since it equals 7, just add that portion to create the following equation:
[tex]\frac{c}{4} +5 = 7[/tex]
Answer:
c / 4 + 5 = 7
Hope this helps!
Step-by-step explanation:
5 + ( more ) than the quotient ( division ) of a number and ( + ) 4 is ( = ) 7
5 + c / 4 = 7
c / 4 + 5 = 7
HOW MUCH IT’S ( 4/2 - 1/2 ) + 3/4 I need the answer because I’m stay in test
Answer:
= 7.25
Conversion a mixed number 4 3/
4
to a improper fraction: 4 3/4 = 4 3/
4
= 4 · 4 + 3/
4
= 16 + 3/
4
= 19/
4
To find a new numerator:
a) Multiply the whole number 4 by the denominator 4. Whole number 4 equally 4 * 4/
4
= 16/
4
b) Add the answer from previous step 16 to the numerator 3. New numerator is 16 + 3 = 19
c) Write a previous answer (new numerator 19) over the denominator 4.
Four and three quarters is nineteen quarters
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find a new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Add: 19/
4
+ 5/
2
= 19/
4
+ 5 · 2/
2 · 2
= 19/
4
+ 10/
4
= 19 + 10/
4
= 29/
4
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 2) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 2 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - nineteen quarters plus five halfs = twenty-nine quarters.
Step-by-step explanation:
Answer:
you can write it in exact form which is 9/4 or decimal form which is 2.25 or mixed number form 2 1/4
Step-by-step explanation:
What is the zero of the function represented by this graph?
Answer:
Step-by-step explanation:
The easiest way to answer your question is to graph it. I've enclosed a graph for you. The answer to the question as it is asked is y ≥ 2.
The answer to your question (which is a much more interesting question) is that there is no 0. A zero of a function must touch or intersect the x axis.
Answer the questions below, no links.
Answer:
[Graph] See attached
[Question] A, C, & E
Step-by-step explanation:
[Graph] 0.4 -> 2/5
() It will go through the origin (0, 0) because we have no b, or y-intercept
() From (0, 0) it will go 2 up and 5 over, 2 up and 5 over, etc etc
() See attached
[Question]
() A, C, E
() It is proportional (one to one as it is a straight line) so A is correct
() The slope in y = mx + b is m, and our m is 0.4 so it is the slope
() 3 * 0.4 = 1.2, so E is correct
simplify if y<0.
[tex]-\sqrt{9y^{2} }[/tex]
Answer:
-3y
Step-by-step explanation:
Whether y is smaller than 0 or not, the square root of y^2 is y, a positive quantity.
Thus, -√(9y²) = -3y
Answer
It's actually 3y instead of -3y.
BTW, anybody from RSM
How do you find the quotient in the equation 8÷304
Answer:
304 divided by 8 in decimal = 38
304 divided by 8 in fraction = 304/8
304 divided by 8 in percentage = 3800%
Step-by-step explanation: You just simply divide.
Solve. −4x−21=91 Enter your answer in the box. x =
Answer:
X = -27
Explain your answer:
Answer:
x = -28
Explanation
K12
what is 32623y32t76237uy23762376etyedw7ed87fe=46y73e78se2w782wsey67edty
what is 5000000000000 divided by 11
Answer:
45.454
Step-by-step explanation:
verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.
Answer:
so whats the question. ...........
HURRY! THIS IS OVERDUE!
Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!
In which table does y vary directly with x?
Answer:
Answer is D
Step-by-step explanation:
The equation for D is y = x · 4
X | Y
1 · 4 = 4
2 · 4 = 8
3 · 4 = 12
So Y varies directly with x in table D
y+x=1 2x+y=5 x+y=5 solve
Answer:
x=5-y
Step-by-step explanation:
which one is correct and if you chose a,b,c,d explain why
a
b
c
d
Answer:
A. √150
Step-by-step explanation:
12² = 144
13² = 169
The only value of any of the options falling between 12 and 13 is √150
The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.
-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2
-If 121 is the output, what was the input?
Answer:
Step-by-step explanation:
does anyone know this i need it fast
Which expression is equivalent to 4(6 - 2x) ?
Answer:
Option A
Step-by-step explanation:
[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]
Hope this helps.
what's the power. ......
Answer:
Rate of DOING WORK is called power
Please help quickly
Answer:
the answer is n=17
Step-by-step explanation:
1/5= 8-5/n-2
Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A Write an expression to represent this scenario where r represents the number of rides.
Part B Create and solve an equation to determine how many possible rides Deniss can ride if his parents gave him $26.00
Show your work.
Part A: y=mx+b where m is the slope and b is the constant. $8 for entry is the constant, at is wont change during our equation. $1.4 is our slope as its the cost per ride. r is going to be our x. So our equation will be 1.40r + 8
Part B: Now that we know the amount of money, we can place the $26 for y. So lets solve now with our new equation of:
26 = 1.4r + 8
26 - 8 = 1.4r
18 = 1.4r
18 / 1.4 = r
12.85 = r
Obviously he cant ride 12.85 rides. Typically we round up, but to say he rides 13 rides means he has to have $26.2, which we know he does not have. Therefore, we say that he can ride 12 rides.
Quick math check:
1.4(12) + 8 = $24.8 which is less then $26.
I hope this helps! :)
Choose the mixed number that has not been reduced to simplest form.
7 14/18
5 5/6
5 7/12
4 2/5
Hello there!
7 14/18 is the mixed number that has not been reduced to simplest form.
We can divide the numerator and denominator by 2 to reduce the fraction:
7 7/9
The answer is Option A. Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
Find x and y.
[tex]\\ \sf\longmapsto 2x+11=3x-9[/tex]
[tex]\\ \sf\longmapsto x=11+9[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
And
[tex]\\ \sf\longmapsto y+10=2y-40[/tex]
[tex]\\ \sf\longmapsto 2y-y=10+40[/tex]
[tex]\\ \sf\longmapsto y=50[/tex]
Step-by-step explanation:
x2x + 11 = 3x - 9
2x - 3x = -9 - 11
x = -20
[tex] \: [/tex]
yy + 10 = 2y - 40
y - 2y = -40 - 10
-y = -50
y = 50
Estimate the r- value for each scatterplot
Help me solve this-> g(x) = 2x + 3
g(7) =
Answer:
17
Step-by-step explanation:
it's sufficient to set x=7
g(7)=2×7+3=14+3=17
Answer:
g(7)=2.7+3=17
Using the formula find the slope of a line with the points (10,20) and (30,50).
Answer:
m = 2/3
Step-by-step explanation:
Slope is defined as the ratio rise/run.
As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30. Thus, the slope of the line is m = 30/20, or 2/3.
CALCULATE
(32/40×100%) =??
NO SPAM PLEASE ,ಠ_ʖಠ
I WILL MAKE BRAINLIEST WHO WILL ANSWER CORRECT ( ╹▽╹ )
Answer:
[tex] \frac{32}{40} \times 100[/tex]
[tex] \frac{32}{4} \times 10[/tex]
[tex]8 \times 10[/tex]
[tex]80[/tex]
80 is the answer
Answer:
(32/40×100%)= x
(32/ 40 ) × 100 = x
0.8 × 100 = x
x = 80
(32/40×100%)= 80
What is the nth term rule of the quadratic sequence below?
8
,
16
,
26
,
38
,
52
,
68
,
86
,
.
.
.
The [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex] .
What is quadratic sequence ?Quadratic sequences are sequences that include [tex]nth[/tex] term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.
Quadratic sequence [tex]=an^2+bn+c[/tex]
Here [tex]a,b,c[/tex] are constant and [tex]n[/tex] is the position of term.
First difference [tex]= 3a+b[/tex]
Second difference [tex]=2a[/tex]
We have,
Quadratic sequence [tex]8,16,26,38,52,68,86,....[/tex]
Quadratic sequence [tex]=an^2+bn+c[/tex]
so,
For [tex]n=1[/tex];
[tex]8=an^2+bn+c[/tex]
[tex]8=a+b+c[/tex] [tex]........(i)[/tex]
For [tex]n=2[/tex];
[tex]16=4a+2b+c[/tex] [tex]........(ii)[/tex]
For [tex]n=3[/tex];
[tex]26=9a+3b+c[/tex] [tex]........(iii)[/tex]
Now,
Subtract equation [tex](i)[/tex] from [tex](ii)[/tex]
we get,
[tex]8=3a+b[/tex] [tex]........(iv)[/tex]
Subtract equation [tex](ii)[/tex] from [tex](iii)[/tex] we get,
[tex]10=5a+b[/tex] [tex]........(v)[/tex]
Subtract equation [tex](iv)[/tex] from [tex](v)[/tex] we get,
[tex]2=2a[/tex] (This is second difference mentioned above)
[tex]a=1[/tex]
Putting [tex]a=1[/tex] in [tex](iv)[/tex]
⇒[tex]b=5[/tex]
Now putting values of [tex]a[/tex] and [tex]b[/tex] in equation [tex](i)[/tex]
[tex]8=1+5+c[/tex]
[tex]c=2[/tex]
Now, putting values of [tex]a[/tex] , [tex]b[/tex] and [tex]c[/tex] in,
Quadratic sequence [tex]=an^2+bn+c[/tex]
we get,
[tex]nth[/tex] term rule [tex]=n^2+5n+2[/tex]
Hence, we can say that the [tex]nth[/tex] term rule of the quadratic sequence will be [tex]n^2+5n+2[/tex].
To know more about quadratic sequence click here
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