Answer:
Step-by-step explanation:
1.Consider the quadratic relation y = x^2 – 6x – 16.
a) Factor this equation using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).
[y = x^2 – 6x – 16 : Two numbers when multiplied = -16, but when added = -6, would be: -8 and 2. [-8+2 = -6, and -8*2 = -16] This would lead to (x+2)(x-8) as the two factors.
b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.
(x+2)=0; x= -2
(x-8)=0; x = 8
2. Consider the quadratic relation y = 2x^2 + 6x – 80.
a) Factor this equation by:
1. Determining the greatest common factor (GCF).
The GCF is 2: 2*(x^2 + 3x - 40)
2. Factoring the equation using common factoring.
2*(x^2 + 3x - 40): Two numbers that when multiplied = -40, but added = 3, would be 8 and -5. So we can factor:
2*(x + 8)(x - 5)
3. Factor the expression inside the brackets using the Trinomial Method (find two numbers that multiply to 'c' and add to 'b'; the factored form has 2 pairs of brackets).
2*(x + 8)(x - 5)
b) Find the x-intercepts (zeroes) of the relation. Remember to let y = 0 then solve for each x separately.
0 = (x + 8) and 0=(x - 5); x = -8, and x=5
Helppp ppleasee ??!!
Answer:
[tex](m^{4} + 5) - n^{3}[/tex] = 85
Step-by-step explanation:
[tex](m^{4} + 5) - n^{3}[/tex] given m = - 2, and n = -4
Substitute the given values into the polynomial expression:
[tex](m^{4} + 5) - n^{3}[/tex]
[tex][(-2)^{4} + 5] - (-4)^{3}[/tex]
= (16 + 5) - (-64)
= 21 + 64
= 85
Therefore, the correct answer is 85.
Answer: 85
Step-by-step explanation:
(m^4+5)-n^3
(-2^4+5)-(-4)^3
(16 + 5)-(-64)
21 + 64 = 85
Lines l and m are parallel. Find the value of x.
enter just the number
Answer:
its x
Step-by-step explanation:
find the value of the expression -15.08 -8.43
Answer:
23.51
Step-by-step explanation:
giải bài tập toán giúp tôi
Answer:
5x2 + 5x -1
Step-by-step explanation:
jus multiply 3x to 2x because there to the same power. it becomes a postive and you leave the rest.
Answer:
the first answer is right
Given that a = 4 and b = 6, find the value of a+b
Answer:
10
Step-by-step explanation:
We know that a = 4 and b = 6, and we are trying to find the answer to both of them added, so to get a + b, we can substitue the values of a and b by their numbers. So,
a + b
Is the same as
4 + 6, which equals 10.
Therefore, the value of a+b is 10
Hope this helps :)
is 18/3 an irrational number
Answer:
Yes it is irrational
Step-by-step explanation:
Hope this helps
The number 18/3 is 6 which is not an irrational number.
What is an irrational number?An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.
here, we have,
18/3
= 6
So, its not an irrational number.
To learn more on number click:
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The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width, in units, of the rectangle?
Answer:
Step-by-step explanation:12-4=8
Rationalisie the denominator of: 4√3/2-√2
Answer:
[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]
Step-by-step explanation:
[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]
By Rationalizing the denominator:-
[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]
[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]
[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]
[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]
[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]
Help! Look at the image below!
Answer:
the answer is (6,9) so the answer for y is 9
Step-by-step explanation:
Your bank account has in it. You deposit $5 per day.
(a) How much money is in your account after 5 days? Show your work
(b) After you have made all of your deposits, you withdraw $2 a day until your account balance is 0
many days will you withdraw $2? Show your work
I need help please asap!!
Answer:
I think its step 2.
Step-by-step explanation: Correct me if im wrong. Hope it helps. :)
Answer:
Step 1 ;
Step-by-step explanation:
Convert the division into a multiplication and then flip the fraction .
[tex] \frac{7}{9} \div \frac{3}{8} \\ \\ \\ \frac{7}{9} \times \frac{8}{3} [/tex]
Betty was charged 15 1/2% interest for the year
on her loan of £2 400. James was charged 12% interest for the year on his loan of £4 000.
How much more interest did James pay for the
year?
HELP PLEASE
Answer: James was charged with $180 more for the year that Betty
Step-by-step explanation: So I dont know how your money currency works sorry, also Ive never done this kind of math problem so I dont know if its right
Tony can cycle a distance of 9 5/6 in 3/5 hours. What is his unit rate?
Answer:
19.66
Step-by-step explanation:
9.83 / 0.5
19.66
Sorry if it is not correct but I think that this is the corrcet answer.
#1
Show if the triangles below are similar or not
Please help thankyou!!
Answer:
No the triangle are not same because the outer length of triangle is not same
Kylie signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph below. What does the slope of the line represent?
Answer:
we need the linear graph ._.
Step-by-step explanation:
Help WITH THE MATH PLEASE QUICK
Answer:
Step-by-step explanation:
2x - 3 = 135 {Corresponding angles are congruent}
2x = 135 + 3
2x = 138
Divide both sides by 2
x = 138/2
x = 69
[tex]\small\boxed{\begin{array}{cc} \hline\sf \normalsize {Math \: \: \: Question}\\ \hline\end{array}}[/tex]
=================================
2× - 3 = 135
2× = 135 + 3
2× = 138
× = 138/2
× = 69
=================================
[tex]\begin{gathered}\begin{gathered}\tiny\boxed{\begin{array} {} \red{\bowtie}\:\:\:\: \red{\bowtie}\\｡◕‿◕｡\end{array}}\end{gathered}\end{gathered}[/tex]:BrainliestBunch
Given that ∠ADC≅∠BCD, AC⊥CD and BD⊥CD, which of the following proves that △ACD≅△BDC?
Answer:
1. ∠ADC≅∠BCD (Given)
2. AC¯¯¯¯¯⊥CD¯¯¯¯¯; BD¯¯¯¯¯⊥CD¯¯¯¯¯ (Given
)3. ∠ACD and ∠BDC are right angles(Def. of ⊥)
4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)
5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)
6. △ACD≅△BCD (ASA Steps 1, 5, 4)
△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.
What is of congruent triangle?Congruent triangles have comparable sides and angles that are equal. The symbol "≅" represents congruence.The three sides are all the same (SSS: side, side, side)Two angles are the same, as is a corresponding side (ASA: angle, side, angle)We know that two triangles are congruent if all of their sides are the same— thus side, side, side (SAS: side, angle, side). We also know they are congruent if we have a side, an angle between the sides, and another congruent side—so side, angle, side.1. ∠ADC≅∠BCD (Given)
2. AC⊥CD; BD⊥CD (Given
3. ∠ACD and ∠BDC are right angles(Def. of ⊥)
4. ∠ACD≅∠BDC (Rt. ∠≅Thm.)
5. CD≅CD (Reflex. Prop. of ≅)
6. △ACD≅△BCD
To learn more about Congruent triangles refer,
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Given M ,N find the value of x
Answer:
x = 59 , y = 44
Step-by-step explanation:
(2x + 18) and (x - 15) are adjacent angles on a straight line and sum to 180°
2x + 18 + x - 15 = 180 , collect like terms
3x + 3 = 180 ( subtract 3 from both sides )
3x = 177 ( divide both sides by 3 )
x = 59
Then
x - 15 = 59 - 15 = 44
y and (x - 15) are corresponding angles and are congruent , then
y = 44
A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 35x + 20 represents what the health club charges. Find the rate of
change.
=
Answer:
+35 per month
Step-by-step explanation:
Can someone solve the whole thing for me please it isnt a test its an online assignment and ill give you brainliest if you solve all of them correctly
Answer: do you have a email so i can send it to you??
Step-by-step explanation:
Which is a characteristic of the linear parent function?
O A. It has a slope of 1.
B. It passes through (0,1).
C. The domain is positive real numbers.
D. It goes through quadrants I and IV.
SUBMIT
Answer:
A. It has a slope of 1.
Step-by-step explanation:
slope is constant
-2x + 3y - 4 =0
Find the x-intercept and y-intercept of the line
Answer:
Step-by-step explanation:
To find the x-intercept, set y = 0 and solve for x.
-2x + 3y - 4 = 0
-2x + 3(0) - 4 = 0
-2x + 0 - 4 = 0
-2x - 4 = 0
-2x = 4
x = 4/-2
x = -2 The x-intercept is -2
To find the y-intercept, set x = 0 and solve for y.
-2x + 3y - 4 = 0
-2(0) + 3y - 4 = 0
0 + 3y - 4 = 0
3y - 4 = 0
3y = 4
y = 4/3 The y-intercept is 4/3
Help me with this it is math
Answer:
i can my googl
hangouts is hello jazlyn 2279
Step-by-step explanation:
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
Answer:
x = 12.2 mi
Step-by-step explanation:
Given the two sides of the right triangle:
a = 6.1 mi
b = 10.6 mi
c = x
Use the Pythagorean Theorem to solve for the value of the hypotenuse, x:
c² = a² + b²
c² = (6.1)² + (10.6)²
c² = 37.21 + 112.36
[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]
[tex]\sqrt{(c^{2})} = \sqrt{ 37.21 + 112.36 }[/tex]
c = 12.2 mi
Therefore, x = 12.2 mi
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (10,6)² + (6,1)²
x² = 112,36 + 37,21
x² = 149,57
x = 12,22mi✔
There is a bag with only red marbles and blue marbles. The probability of only choosing a red marble is 5/8. There are 25 red marbles in the bag and each is likely to be chosen. How many marbles should there be in total?
25 red, 15 blue
======================================================
Work Shown:
b = number of blue marbles = unknown
r = number of red = 25
T = number total = 25+b
r/T = probability of getting red = 5/8
r/T = 5/8
25/(25+b) = 5/8
25*8 = 5(25+b) .... cross multiplication
200 = 125+5b
200-125 = 5b
75 = 5b
5b = 75
b = 75/5
b = 15
We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.
The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.
Find the area of the metal sheet below that is required to make this square-shaped traffic sign. (note: square the binomial)
i think this is easy for yall but nor for me lol need help
Answer:
x = 14
Step-by-step explanation:
So because the sides are equal, that means that the angles are equal.
5x = 3x + 28
Step 1.) Subtract 3x from 5x which leaves you with 2x.
2x = 28
Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14
x = 14
The energy needs of an eagle range between 350-600 calories per day. If it gets 120 calories from consuming 1 snake, how many snakes can it have
Answer:
3- 5 snakesStep-by-step explanation:
One snake gives 120 calories, so 3 snakes = 360 and 5 snakes = 600 calories.
The eagle can have 3 - 5 snakes per day
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required number of snakes is ~
[tex]3 \: \: to \: \: 5 \: \: \: snakes[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Minimum number of snakes that the eagle need to eat to maintain its energy level ~
[tex] \dfrac{350}{120} [/tex][tex] \dfrac{35}{12} [/tex][tex] \approx3[/tex]Maximum number of snakes that the eagle should eat to maintain the level of energy ~
[tex] \dfrac{600}{120} [/tex][tex]5[/tex]So,
The Eagle should have 3 - 5 snakes per day ~
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
you divide a number by 3, add 6, then subtract 7. The result is 4. What is the number?
Answer:
15
Step-by-step explanation:
15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4