Answer:
[tex]y=\displaystyle -\frac{1}{4}x+\displaystyle \frac{15}{4}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
1) Determine the slope (m)
[tex]m=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
In the graph, two points are indicated: (-5,5) and (3,3). Plug these into the equation:
[tex]m=\displaystyle \frac{3-5}{3-(-5)}\\\\m=\displaystyle \frac{3-5}{3+5}\\\\m=\displaystyle \frac{-2}{8}\\\\m=\displaystyle \frac{-1}{4}[/tex]
Therefore, the slope of the line is [tex]\displaystyle -\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle -\frac{1}{4}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle -\frac{1}{4}x+b[/tex]
Plug in one of the points we used earlier and solve for b:
[tex]3=\displaystyle -\frac{1}{4}(3)+b\\\\3=\displaystyle -\frac{3}{4}+b\\\\3+\displaystyle \frac{3}{4}=b\\\\\frac{15}{4} =b[/tex]
Therefore, [tex]\displaystyle \frac{15}{4}[/tex] is the y-intercept. Plug this back into [tex]y=\displaystyle -\frac{1}{4}x+b[/tex]:
[tex]y=\displaystyle -\frac{1}{4}x+\displaystyle \frac{15}{4}[/tex]
I hope this helps!
factorize 6(a+1)²+4(a+1)
Answer:
[tex]2(a + 1) \times (3a + 5)[/tex]
Step-by-step explanation:
[tex]6(a + 1 {)}^{2} + 4(a + 1)[/tex]
➡️ [tex]2(a + 1) \times (3(a + 1) + 2)[/tex]
➡️ [tex]2(a + 1) \times (3a + 3 + 2)[/tex]
➡️ [tex]2(a + 1) \times (3a + 5)[/tex]
Write an algebraic expression for the following phrase: 3 more than twice a number O 3x + 2 O3+2+ x 02x3 2x+3
Answer:
2x+3
Step-by-step explanation:
2x is twice a number and +3 is three more than that number.
(−2x + 8) + (−8x^2− 8x)
Answer:
-8x^2 -10x + 8
Step-by-step explanation:
there is no multiplying just adding
PLEASE HELP GIVIBG BRAINIEST AWNSER WORTH 32 POINTS
A cell phone company offers two different monthly plans.
Plan A costs a flat rate of $0.10 per minute for all calls. Plan B costs $29.99 for
the first 500 minutes and $0.08 for each additional minute. Which plan is less
costly if a person uses 750 minutes per month? Explain.
Answer:
The Best is B = 44.985
Step-by-step explanation:
(A)First thing is that 0.10 times 750 is 75$
(B)but the 29.99 divided buy 500 equal 0.05998.
then you multiplier by 750 which equal 44.985.
this is the best way I hope this helps :)
solve for X...........
Answer: First Choice. no solution
Step-by-step explanation:
Given
5 (x + 1) ≤ 5x + 3
Expand parentheses and apply the distributive property
5x + 5 ≤ 5x + 3
Subtract 5x on both sides
5x + 5 - 5x ≤ 5x + 3 - 5x
5 ≤ 3
5 ≤ 3 is not true, therefore, there is no solution.
Hope this helps!! :)
Please let me know if you have any questions
It is angle measure please help
Opposite angles are equal
[tex]\\ \rm\longmapsto m+357=4m+6[/tex]
[tex]\\ \rm\longmapsto 357-6=4m-m[/tex]
[tex]\\ \rm\longmapsto 3m=351[/tex]
[tex]\\ \rm\longmapsto m=\dfrac{351}{3}[/tex]
[tex]\\ \rm\longmapsto m=117[/tex]
I WILL GIVE 50 POINTS (WOW IKR 50) TO PEOPLE WHO GET THIS RIGHT. NO SCAMMING PLEASE
Answer:
232 units
Step by step explanation
4. Express the following rational number in its lowest form :
) − 60/72
) − 24/36
)91/364
Answer:
-60/72 = -5/6
-24/36 = -2/3
91/364 = 45/182
what is the commutative property in "r+v"
PLEASE ANSWER QUICKLY if you can
Answer:
[tex]we \: know \: commutative \: prop \\ \: x + y = y + x \\ then \: r + v = v + r \\ thank \: you[/tex]
Estimate the sales tax and final cost of a book that costs $12.95 with a sales tax
of 6%.
Step-by-step explanation:
1.06 × 12.95
13.727
which is 13.73 to find the sales tax subtract it from the original
12.95 - 13.73
which is about 28 cents or 0.28
17 students on the math team want to raise 483.62 to buy practice books they have already raised 218.25 if each students raises the same amount how much more money must each student raise
483.62 - 218.25 = 265.37
265.37 / 17 = 15.61
Each student should raise 15.61.
Hope this helps.
Simplify. (4x^2 - 2x) (-3x^2 - 4x^2 +1)
A) -12x^5 - 10x^4 + 8x^3 + 4x^2 -2x
B) -12x^5 -22x^4 - 8x^3 + 4x^2 - 2x
C) 12x^5 - 10x^4 +8x^3 + 4x^2 -2x
D) 12x^5 - 22x^4 - 8x^3 + 4x^2 - 2x
Answer: Is the equation enered correctly?
1. The second term, (-3x^2-4x^2+1) is the same as (-7x^2 + 1)
2. I don't see how the answer could contain an x^5 term. The largest I see from the information is x^4
Step-by-step explanation:
Katie is sending flowers to her friend for her birthday. The florist is selling lilies for $0.60 each and the delivery fee is $7.50. She has $16.50 to spend on the flowers. Write the equation to solve this.
Answer
16.50=0.6l+7.50
Step-by-step explanation:
L is for the amount of lillies
Please help me with A B and C
Answer:
b)A box from all 4 sides increases as the number increase
c)
Step-by-step explanation:
a+(n-1)d
a-first terms
d- difference
5+(n-1)4
5+4n-4
4n+1(the nth term)
so for 50th
its 4*50+1
Answer is 201 tiles
Hope this helps you :))
solutions to the quadratic equation x^2+3x-28=0
Answer:
look on the graph
Step-by-step explanation:
the solutions are x = -7 and x=4
Answer:
x = -7 ; x=4
Step-by-step explanation:
The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]
Can you write - 14 as a fraction?
Answer:
-14/1 or 14/-1
Step-by-step explanation:
The fraction for 14 is 14/1
to make it negative, just add a negative sign for numerator or denominator.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I’m struggling.help please.
Answer:
21,23,25,27,29... and etc
Step-by-step explanation:
13,15,17,19, your going by 2, so.. 21,23,25,27,29. and counties. I don't know how long it goes but there you go hopefully this helps <3.
Answer:
2n + 11
Step-by-step explanation:
2(1) + 11 = 13
2(2) + 11 = 15
2(3) + 11 = 17
the 2 is the constant difference between the first 2 terms.
the numbers in brackets are the term number.
you have to multiply the difference with the term number.
then you will have to take that answer and subtract it from the first term number.
hope it helps xxx
4/5 as an equivalent fraction in 3 different forms.
Answer:
Equivalent fraction of ⅘:
[tex] \frac{4}{5} = \frac{8}{10} = \frac{12}{15} = \frac{16}{20} [/tex]
f(x) = 1/x; Find f (1/10)
Answer:
f(1/10)=10
Step-by-step explanation:
f(x) = 1/x
f (1/10)=1/(1/10)=1·(10/1)=10
Write a word problem that could be solved by the equation in problem 8 .
3 1/2 [tex]3 1/2 divided by 7/8= 7/2*8/7= 56/14 =4[/tex]
The word problem is " In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there".
The given expression is 8÷2/3
We need write a word problem which is solved by the above expression.
Word problem : In a class there are 8 boys and these are 2/3rd parts of total students. How many students are there.
Solution
[tex]x[/tex]* × 2/3 =8
Divide both sides by 2/3.
x=8/2/3
x= 8×3 / 2
x= 12
Therefore, the total number of students is 12.
The price of a share of stock changed by – $19.50 over a 5-day period. What was the average daily.
change in the price of a share of the stock?
Answer:
-19.5/5 = 3.9 so answer is $3.9 per day
70410539 in standard form!
70,410,539 in standard form is 7.0410539 × 10^8
Find the value of A, if ∛500 × A =10
Answer:
A = 10 / 500 ^ (1/3)
A = 10 / 7.9370052598
A = 1.2599210499
Step-by-step explanation:
Help please.
Simplify: 2 + 3i / 4 + 2i
Answer:
○ [tex]\displaystyle \frac{7 + 4i}{10}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{2 + 3i}{4 + 2i} → \frac{2 + 3i[4 - 2i]}{4 + 2i[4 - 2i]} = \frac{14 + 8i}{20} = \boxed{\frac{7}{10} + \frac{2}{5}i}[/tex]
When dividing complex numbers, multiply the denominatour and numeratour by the conjugate of the denominatour. Then simply towards the end.
* Here is something you should know:
[tex]\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\: [every\:multiple\:of\:four][/tex]
I am joyous to assist you at any time.
How many quarts of water should be added to 6
quarts of 80% antifreeze solution to dilute it down
to 30%?
Answer:
Step-by-step explanation:
Evaluate the expression, given functions f and h:
f(x) = 3x − 1,
h(x) = −2x2 + 3x − 2.
f
7
3
− h(−2)
WILL GIVE BRAINLIEST TO WHOEVER CAN EXPLAIN:
True or False-in scientific notation when you move the decimal point left is it positive.
Answer:
false.
Step-by-step explanation:
just cause you move a decimal point to the left dosent mean its positive.
2 times a number is 12.
How do you right that in equation form
Answer:
2 * x = 12
Step-by-step explanation:
Answer:
2x = 12
Step-by-step explanation:
let the number be x then 2 times the number is 2x. so
2x = 12 ← in equation form
2 = 2.27 - m/4
I am so bad at math, lol! ^^ HELP ME PWEASE!
Answer:
m = 1.08
Step-by-step explanation:
Subtract 2.27 from both sides.2 - 2.27 = -m/4
Simplify 2 - 2.27 to -0.27.-0.27 = -m/4
Multiply both sides by 4-0.27 × 4 = -m
Simplify -0.27 × 4 to -1.08.-1.08 = -m
Multiply both sides by -1 (-m is also known as -1)1.08 =m
Answer:
m = 1.08
Step-by-step explanation:
Basically, we can start off by finding the difference between 2 and 2.27(which is 0.27). Then we can see that 0.27 is equal to m/4. Since 0.27*4=1.08, we can see that m=1.08.
4. what are two other ways to name plane v
Answer:
Plane ANM and Plane XNM.
Step-by-step explanation:
simplify:
3/2 x 5/3 ÷ (-2+7)
Answer:
-1/2
Step-by-step explanation:
3/2 x 5/3 ÷ (-2+7)
=> 3/2 x 5/3 ÷ (-5)
=> 3/2 x 5/3 x (-1/5)
=> -1/2