Answers
Answer:
a) x2 = 10
b) x2 − 40 = 0
c) 3x2 − 600 = 0
d) x2 + 12 = 0
Answer:
[tex]\frac{6(2a-4c)-6(6a-4b)+3(4b-8c)}{4} \\[/tex]
[tex]\frac{12a-24c-36a+24b+12b-24c}{4}[/tex]
[tex]\frac{12a-36a+24b+12b-24c-24c}{4}[/tex]
[tex]\frac{-24a+36b-48c}{4}[/tex]
[tex]-6a+9b-12c[/tex]
[tex]-3(2a-3b+4c)[/tex]
So,
[tex]-3(2a-3b+4c)=X(2a+Yb+Zc)[/tex]
X = (-3)
Y = (-3)
Z = 4
Hope this helps you.
Let me know if you have any other questions :-)
Related Questions
Express 2x2 + 16x +11 in the form a (x + b)2 + c, where a, b and c are
numbers.
What are the values of a, b and c?
Answers
Step-by-step explanation:
I assume the original expression is
2x² + 16x + 11
we need to get this into the form of a(x + b)² + c
let's do the generic multiplication and compare the result to the given expression :
a(x² + 2bx + b²) + c = ax² + 2abx + ab² + c
when we compare this with the original equation, we only need to look at terms with the same variable exponents.
2x² is the only term with "x²".
and ax² is the only term with "x²" in the generic form.
so ?
2x² = ax²
=>
a = 2
16x is the only term with "x" (exponent 1).
2abx is the only term with "x" in the generic form.
16x = 2abx
8x = abx = 2bx
4x = bx
=>
b = 4
11 is the only pure number (constant).
ab² + c is the only constant term in the genetic form.
11 = ab² + c = 2×4² + c = 2×16 + c = 32 + c
-21 = c
so, the solution is
2(x + 4)² - 21
Given this quadratic equation, 2x^2-x-28=0,
List the factors of this equation.
Determine the x-intercepts.
Answers
[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]
[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]
7⅕-2⅔x0,5 explain step by step
Answers
Step-by-step explanation:
7/5 - 2×2/3 × 0.5 = 1.4 - 2×0.5×2/3
= 1.4 - 1 ×2/3
=1/4 × 2/3
=1.5 - 0.6
Question 13 of 20
If fx) = 5x- 4 and g(x) = 4x+1, find (f- g)(x).
Answers
Answer:
Step-by-step explanation:
x-5
Alyssa bought a bag containing 60 small candies. She starts eating the candies at a rate of 5 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.
Answers
Answer:
for every 10 she eats the minutes are even
Step-by-step explanation:
( i honestly dont know how to explain the relationship but i did the math for it)
it would take 12 mins to eat all 60 candies
55 candies : 1 min
50 candies : 2 mins
40 candies : 4 mins
30 candies : 6 mins
20 candies : 8 mins
10 candies : 10 mins
0 candies : 12 mins
Class 10R sat a test.
The mean mark for the class was 70%.
There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys in the test was 62%.
Work out the mean mark for the girls.
Answers
86%
Step-by-step explanation:30 students in the class with a mean average of 70% can be expressed as:
total class percent / 30 = 70%
Rearranged, this gives that the class achieved a total of 30x70 or 2100%.
20 boys in the class with a mean average of 62% can be expressed as:
total boys percent / 20 = 62%
Rearranged, this gives that the boys achieved a total of 20x62 or 1240%.
This means that the girls achieved 2100 - 1240 so 860%.
Because there are 30 students and 20 boys, there are 10 girls.
Then work out the mean with a total of 860% and 10 girls.
860/10 = 86%.
16-?=2+6 solve for the missing number
Answers
Answer:
8
Step-by-step explanation:
trust
Answer:
8
Step-by-step explanation:
16-?=2+6
First, we add the right side .
16-?=8
Now that it's easier to solve, we can figure out you need to subtract 8 from 16 to get 8.
16-8=8
1.what is the y-intercept f (x) = 3x+8/x-4?
a.-2
b.0
c.2
d.4
2.the horizontal asymptote of f (x) = 2x+5/x^2-3x+2?
a. y = -1
b. y = 0
c. y = 1
d. y = 2
3. what is the x - intercept of f (x) = 2x+6/x-1?
a.-5
b.-3
c.-1
d.0
4.what is the vertical asymptote of f (x) = x^2+5x+6/x-5?
a.x = -6
b.x = 0
c.x = 5
d.x = 6
5. what is the zero of f (x) = x^2-25/x+5?
a.-5
b.0
c.5
d.25
6.the oblique asymptote of f (x) = x^2=3x-5/x+2?
a.y = x + 1
b.y = x + 2
c.y = x + 3
d.y = x + 5
Answers
The Eubanks Answer:
Step-by-step explanation:hehus
Find the number that makes the ratio equivalent to 6:3 :9
Answers
Explanation: All of the numbers are divisible by 3 and so is 12. So 12 will make the ratio equivalent.
Find the surface area of the square pyramid below.
Answers
Answer:
Step-by-step explanation:
Answer:
96 cm or B
Step-by-step explanation:
Base-l*w, 6*6, 36
Side 1-(h*w)1/2, (30)1/2, 15
Side 2-Same as 1
Side 3-Same as 1
Side 4-Same as 1
15+15=30, 15+15=30, 30+30=60, 60+36=96
96 cm
line j passes through the point (-4,10) and (2,-8). Line k passes through the point (1,2) and is parallel to line j. Find an equation for line k.
Answers
Answer:
344444444433333338694
Step-by-step explanation:
Answer: y = -3x+5
Step-by-step explanation:
Given f(x)=-x-4f(x)=−x−4, find f(4)f(4).
Answers
Answer:
1/4 or .25
Explanation
As for this specific question algebra is something I do in my head and skip many steps for however if you want to proof my answer it would be this.
-0.25-16*.25=-0.25-4
-0.25-4=-0.25-4
-4.25=-4.25
For the function f(x) = -x-4 the value of f(4) is -8.
The given function is f(x) = -x-4.
We need to find the value of f(4).
To find this we have to replace the x value with 4.
Substitute x=4 in the function:
f(4)=-4-4
f(4)=-8
Hence, the value of f(4) is -8.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ3
Alybia was making 115 cookies for a Valentine’s Day party. They were each either red or purple. Forty percent of the cookies were red. How many cookies were purple?
Answers
Answer:
69 purple cookies!
Step-by-step explanation:
Draw an ordered stem and leaf diagram to show this information.
245, 250, 251, 253, 258, 264, 267, 269, 273, 276
Key:24|5 means 245.
Answers
=========================================================
Explanation:
The key tells us how to set up the stem and leaf diagram. It says that [tex]24|5[/tex] represents the value 245.
This means that "24" is one of the stems. In fact, it's the smallest stem possible since there's nothing smaller than 240 on this given list of values.
The only leaf associated with this stem is 5. The stem 24 and the leaf 5 combine to form the number 245 as the key indicates.
--------------------------
In the next row is the stem 25. For this stem, we'll have the leaves of: 0, 1, 3, 8. The stem 25 and those leaves mentioned combine to form 250, 251, 253, 258 in that exact order. This time we'll use up four boxes for this row. The last box in this row is blank.
The remaining rows (stems 26 and 27) are handled in pretty much the same fashion. Let me know if you have questions how the boxes are filled in. It helps to start with sorted data from smallest to largest. Luckily, that's already been done for us.
The filled out chart is shown below. I replaced the stems 0,1,2,3 with 24,25,26,27.
Please help me with this homework
Answers
2. 71 x 4 = 284
3. 81 x 5 = 405
4. 42 x 5 = 210
Hope this helps
Brainliest is appreciated :)
Which of the following sets of ordered pairs is not a function?
{(-1, 2), (1, 3), (1, 5), (-3, 4)}
{(0, 2), (1, 4), (2, 5), (3, 6)}
{(-4, 3), (-1, 1), (-2, 5), (3, 7)}
{(0, 2), (1, 2), (2, 2), (3, 2)}
Answers
Answer:
1
first choice
Step-by-step explanation:
in a function, the x-value never repeats.
(found in brainly)
why are prefixes used in naming covalent compounds
A. oxidation states of the atoms are identified with prefixes
B. the atoms can have different numbers of valence electrons
C. the prefixes identify the only way the atom can combine
D. the same atoms can combine in more than one ratio
Answers
Answer:
the atoms can have different numbers of valence electrons
express the followinf percentage as a fraction
a) 6 3/5%
Answers
Answer:
6.6/100 or 3.3/5
Step-by-step explanation:
6.6% or 6 3/5% now since those are all out of 100 (since percentages) you just put #/100 and get your fraction
What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?
Answers
Answer:
X=(-1.5, 7.5)
Step-by-step explanation:
Simplifying
4x2 + -24x + -45 = 0
Reorder the terms:
-45 + -24x + 4x2 = 0
Solving
-45 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-3 + -2x)(15 + -2x) = 0
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Set the factor '(15 + -2x)' equal to zero and attempt to solve:
Simplifying
15 + -2x = 0
Solving
15 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15
Combine like terms: 0 + -15 = -15
-2x = -15
Divide each side by '-2'.
x = 7.5
Simplifying
x = 7.5
Solution
x = {-1.5, 7.5}
If an atom has 5 protons, 7 neutrons and 5 electrons what is the mass number of the atom?
Please help quick!
No links!
Answers
Answer:
7+5=12
Step-by-step explanation:
To calculate the mass number of an atom, you have to add the protons and the neutrons. We have 7 neutrons and 5 protons, so your mass number would be 12. Let me know if you have any further questions. :)
i need the answer for
3-3 Mini Assessment | Constant of Proportionality in Graphs
Question
POSSIBLE POINTS: 1
The relationship between the number of ounces of tea purchased and the total cost of the tea is proportional as shown in the graph.
Which equation models this relationship?
y = 7/4x
y = 4/7x
y = 4/1x
y = 1/4x
Answers
Answer: y= (7/4)x
Step-by-step explanation:
Build a table of representative values and then calculate the slope between any 2 of the points. I'll pick (2,3.5) and (8,14) [See attachment. ]
The slope is the Rise/Run:
Rise = (14 - 3.5) = 10.5
Run = (8-2) = 6
Slope = Rise/Run: (10.5/6) = 1.75
The equation should read y = 1.75x.
None of the options works, as written, but note that 7/4 looks close to 1.75. In fact, 7/4 = 1.75.
Use the equation y = 1.75x and enter several values of x (the ounces purchased) and y (the total cost of the purchase). The attachment summarizes the results (Predicted), along with the actual values (Actual) taken from the graph. Excellent correlation, considering the difficulty in making precise graph readings.
Therefore y = (7/4)x
what is 916 divied by 320
Answers
Answer:
2.8625
This is 916 divided by 320
Answer:
Full Answer - 2.8625
Rounded - About 3
Nearest Tenth - 2.9
Nearest Hundredth - 2.86
Step by Step:
Shown Below
Hope this Helps
Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is she from the top of the
building after 90 seconds?
O 12 floors
• ,14
floors
17 floors
19.
O
floors
Answers
Answer:
17 floors
Step-by-step explanation:
1 floor every 4 seconds.
90/4 = 22.5
40 - 22.5 = 17.5
17.5 is 17ish floors, and is the only answer that is close to 17 floors.
can someone help me 5/4/7 + 1/3/4
Answers
Please check the attached image for the steps.
Answer = 11/42 = 0.261
____
RainbowSalt2222 ☔
9-3÷ 1/3+1 Pls ya'll i need this for my 8th grade class
Answers
Answer:
9
Step-by-step explanation:
So it kinda easy but ill Just give u the answer :D
Answer:
9-3÷ 1/3+1= 9
Step-by-step explanation:
I can't do solution sorry.
The 1st one was doable, but I don't understand the 2nd Question.
Answers
Answer: ? What are you talking about?
Step-by-step explanation:
Last semester, Zachary earned an average score of 80 points on math tests. So far this semester, his average score is 15% lower. What is the average of Zachary's scores this semester?
Answers
Answer:
The answer would be 12
Step-by-step explanation:
15/100 = X/80
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 80, and then finally divide the numerator by the denominator on the right side to get the answer.
The equation
15/100 = X/80
X/80 = 15/100
X*80/80 = 15*80/100
X = 1200/100
X = 12
b. (a+b)x 1= (a+b)
What property is this?
Answers
Express in vertex form
Y=2x^2 - 2x - 5
Answers
Answer:
y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms
= 2(x² - x) - 5
Using the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - x
y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5
= 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form
combine like terms and solve x
12x + 3 - 4x - 6 = 5
5x - 4 + 7 + 6x - 4x = 24
Answers
Answer:
12x + 3 - 4x - 6 = 5
x=1
5x - 4 + 7 + 6x - 4x = 24
x=3
