Answer:
d
Step-by-step explanation:
Given
f(x) = 5x , then substitute x = - 1, that is
f(- 1) = 5 × - 1 = - 5 → d
Answer:
D
[tex]f(x) = 5x \: \: \: when \: x = - 1 \\ f( - 1) = 5( - 1) \\ f( - 1) = - 5[/tex]
Solve each system using substitution or elimination. Show all required work. Y=-5x^2+2x-3 Y=-3x-3
Step-by-step explanation:
y = -5x² + 2x - 3 and y = -3x - 3.
=> -5x² + 2x - 3 = -3x - 3
=> 5x² - 5x = 0
=> 5x(x - 1) = 0
=> x = 0 or x = 1.
When x = 0, y = -3(0) - 3 = -3.
When x = 1, y = -3(1) - 3 = -6.
The solutions are (0,-3) and (1,-6).
factorize the following expressions
Answer:
6) b(3a^4-5c³)
7) 3x³yz(2x+5y)
8) 4a²b²c³(2bc-3a)
9) 4xy(2y+7z-1)
10) 2mn(5n²+2m-3n)
Step-by-step explanation:
6) Factor out the b and you get b(3a^4-5c³)
7) Factor out the 3x³yz and you get 3x³yz(2x+5y)
8) Factor out the 4a²b³c³ and you get 4a²b²c³(2bc-3a)
9) Factor out the 4xy and you get 4xy(2y+7z-1)
10) Factor out the 2mn and you get 2mn(5n²+2m-3n)
The table below shows the height and the hand span of five students. What pattern of association best describes the relationship between the height and the hand span?
1) no association
2) non linear association
3) positive linear association
4) negative linear association
Answer:
2
Step-by-step explanation:
2
65% of what number is 27
Answer:
41.54
Step-by-step explanation:
a teacher has 90 pencils to give to her students. the pencil came in boxes of 6. how many boxes of pencils does she have
Answer:
she has 15 boxes of pencils
Step-by-step explanation:
if we have 90 total pencils that need to be split into groups of 6, the way to find how many groups there are is by dividing 90/6, which gives you 15 groups or, in this case, 15 boxes. and you can check your work by multiply the 15 boxes by the 6 pencils in each box, which gives you 90 pencils total, so you're all good!
Write the possible subset of C= {2,4,6}
Step-by-step explanation:
For this set there are 8 subsets and 7 proper subsets
the subsets are:
{}
{2}
{4}
{6}
{2,4}
{2,6}
{4,6}
{2,4,6}
4. What is the solution to the equation
-3.5(x + 12) = -2x + 18?
A. X = -40
C. X=4
B. X=-4
D. X= 40
Answer:
A. x = -40
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3.5(x + 12) = -2x + 18
Step 2: Solve for x
Distribute -3.5: -3.5x - 42 = -2x + 18Add 3.5x on both sides: -42 = 1.5x + 18Subtract 18 on both sides: -60 = 1.5xDivide 1.5 on both sides: -40 = xRewrite: x = -40Seperate 82 in two parts so that one of the parts is 3 times bigger than the other part
Answer:
one part = 20.5
the other part = 61.5
Step-by-step explanation:
let one part = x
let another part = y
(1) create two equations
i) 82 is separated into 2 parts, x and y. it means x plus y equals to 82
x+y = 82
ii) one part is bigger than the other. if x is the bigger part, it is 3 times bigger than y
x = 3y
(2) use substitution method to find the value of x and y
x+y = 82 -------- (1)
x = 3y ---------- (2)
substitute (2) into (1)
x+y = 82
3y+y = 82
4y = 82
y = 82/4
y = 20.5
substitute y = 20.5 into (2)
x = 3y
x = 3(20.5)
x = 61.5
need help will mark brainliest for best answer
Answer: True
Step-by-step explanation:
The function is even and negative. A negative function opens down. With this information, the statement is true: the function opens down.
Answer:
True
Step-by-step explanation:
Given a parabola in vertex form
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then the graph opens up
• If a < 0 then the graph opens down
Given
f(x) = - (x + 3)² + 2 ← in vertex form
with a = - 1 < 0 then graph opens down is True
Using the formula y=ab/2c, express: the variable c in terms of a, b, and y.
Answer:
c=ab/2y
Step-by-step explanation:
y=ab/2c
to get rid of the denominator we divide by 2c.
(y=ab/2c)2c
2cy=ab
now we need to get rid of the 2y from the c to isolate it. in order to do this, we must divide by 2y.
Doing this we get c=ab/2y
9514 1404 393
Answer:
c = (ab)/(2y)
Step-by-step explanation:
The given equation can be multiplied by c/y to solve for c.
[tex]y=\dfrac{ab}{2c}\\\\y\cdot\dfrac{c}{y}=\dfrac{ab}{2c}\cdot\dfrac{c}{y}\\\\\boxed{c=\dfrac{ab}{2y}}[/tex]
_____
Comment on the form of the answer
When the answer is written in plain text, the fraction bar no longer serves as a grouping symbol. Hence, parentheses are needed around the denominator:
c = ab/(2y)
How do you get from one number 100 to 90
What could you do to solve the problem below?
There are 5 members in a jazz band. If the band gets paid $220 for a show
and they split the money evenly, how much will each member receive?
A. Add 5 to 220
B. Subtract 5 from 220
229
C. Multiply 5 by 220
D. Divide 220 by 5
Answer:
Step-by-step explanation:
$220
5 members
220/5
=44
Please help me wiyh this
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
I need help on rational numbers and coordinates planes. I don't quite understand it.
Answer:
A Rational Number can be made by dividing two integers
The cordinate plane can be used to plot points and graph lines
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 5.3 gallons in the 12-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.80 per gallon. How much did Lou spend on gas? He spent $__ on gas.
Answer:
$26.98
Step-by-step explanation:
1. You have the following information given in the problem above:
- Lou filled the tank with gas that cost $3.80 per gallon.
- Lou's car had 5.9 gallons in the 13-gallon tank.
2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
Answer:
26.98
Step-by-step explanation: 5.3 * 3.8 = 26.98
Jessie estimates the weight of her cat to be 10 pounds. The actual weight of the cat is 1375 pounds. Find the percent of error.
Answer:
The percent error is 99%
Step-by-step explanation
Estimated weight of cat = 10 pounds
Actual weight of cat = 1375 pounds
We need to find the percent of error.
The formula used is: [tex]Percent\:Error=\frac{|Estimated\:value-Actual\:Value|}{Actual\:Value}\times 100[/tex]
Putting values and finding percent of error.
[tex]Percent\:Error=\frac{|Estimated\:value-Actual\:Value|}{Actual\:Value}\times 100\\Percent\:Error=\frac{|10-1375|}{1375}\times 100 \\Percent\:Error=\frac{|-1365|}{1375}\times 100 \\Percent\:Error=\frac{1365}{1375}\times 100\\Percent\:Error=0.99\times 100 \\Percet\:Error=99\%[/tex]
So, the percent error is 99%
Two-thirds of the T-shirts in a T-shirt shop are blue. Three-fifths of those T-shirts are on sale. One-half of the blue T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium?
Answer:
1/5
Step-by-step explanation:
medium = (1/2)(blue sale) = (1/2)(3/5)(blue) = (1/2)(3/5)(2/3)(all t-shirts)
medium = 1/5(all t-shirts)
One-fifth of the shop's T-shirts are size medium blue shirts on sale.
Which of the following are square roots of —8 + 8i/3? Check all that apply.
Answer:
Options (2) and (3)
Step-by-step explanation:
Let, [tex]\sqrt{-8+8i\sqrt{3}}=(a+bi)[/tex]
[tex](\sqrt{-8+8i\sqrt{3}})^2=(a+bi)^2[/tex]
-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a = [tex]\frac{4\sqrt{3}}{b}[/tex]
By substituting the value of a in equation (1),
[tex](\frac{4\sqrt{3}}{b})^2-b^2=-8[/tex]
[tex]\frac{48}{b^2}-b^2=-8[/tex]
48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a = [tex]\frac{4\sqrt{3}}{b}[/tex]
For b = ±2i,
a = [tex]\frac{4\sqrt{3}}{\pm2i}[/tex]
= [tex]\pm\frac{2i\sqrt{3}}{(-1)}[/tex]
= [tex]\mp 2i\sqrt{3}[/tex]
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a = [tex]\frac{4\sqrt{3}}{\pm 2\sqrt{3}}[/tex]
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.
Answer: b and c
Step-by-step explanation:
Which situation is best represented by the equation below?
5W + 7 = 127
HELP ME PLEASE
what is the answer to this?!
2/3x−1/5x=x−1
Answer: x = 15/8
Explanation: I used a calculator on a website.
Answer:
15/8
Step-by-step explanation:
Hope this helps: )
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
B) Who makes more from stuffing the same number of envelopes? Explain how you know using the information above.
C) Anna has savings of $100 at the beginning of the summer and she saves all of her earnings from her job. Graph her savings as an equationof the number of envelopes she’s stuffed, n. How does this graph compare to her previous earnings graph? What is the meaning of the initial value and slope in each case?
D)You survey 6 other employees and findthe following data on envelopesstuffed (x) and dollars earned(y). Plot a trend lineon the graph. Find the equation of the trend line.
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
b) From the table above we can see that Anna makes more stuffing than Jason.
c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100[/tex]
We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.
The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)
For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100
D) The line pass through (10, 10) and (100, 40), hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}[/tex]
Steve has 10 biscuits in a tin. There are 5 digestive, 3 chocolate and 2 ginger biscuits. Steve takes two biscuits at random from the tin. Work out the probability that he chooses two different types of biscuits.
Answer:
Probability of choosing two different types of biscuits is [tex]\frac{31}{90}[/tex].
Step-by-step explanation:
We have 10 biscuits in a tin.
There are 5 digestive, 3 chocolate, 2 ginger.
Steve takes two biscuits at random.
There are three combinations of biscuits.
P(d, c) + P(c,g)+P(d,g)
Let's find probability of each.
P(d,c)= P(d)* p(c)
= [tex]\frac{5}{10}*\frac{3}{9}[/tex]
Let's simplify it, we get [tex]\frac{1}{6}[/tex]
Like so, for P(c,g)
P(c,g)= P(c) * P(g)
=[tex]\frac{3}{10}*\frac{2}{9}[/tex]
Let's multiply and simplify, we get [tex]\frac{1}{15}[/tex].
Now, for p(d,g)
P(d, g)= P(d)* p(g)
=[tex]\frac{5}{10} *\frac{2}{9}[/tex]
Let's simplify and multiply, we get [tex]\frac{1}{9}[/tex].
Now, add them together
[tex]\frac{1}{6} +\frac{1}{15} +\frac{1}{9}[/tex]
Now, find LCD to make the denominators as same and then add them together.
LCD is 90
So, find equivalent fraction of each which has denominator as 90.
[tex]\frac{15}{90}+\frac{6}{90} +\frac{10}{90}[/tex] = [tex]\frac{31}{90}[/tex]
whats 28 11/14 in simplest form
Answer is:
29/2 = 14.5
HELP PLEASEE I WILL GIVE BRAINLEST!! WITH EXPLANATION I NEED HELP WITH PART C THANK YOUU!!!!!!!
Answer:
It will take him 3 minutes
Step-by-step explanation:
Jacob earns $12.00 per hour babysitting. and has already earned $54.00. The number of hours, x, for which Jacob babysat can be found using the equation 54.00=12x. How many hours did Jacob babysit?
Jacob babysat for 4.5 hours 12x4=48 +6(.5)= 4.5 hours
PLEASE HELP I WILL GIVE YOU 5 STARS AND A THANKS AND BRAINLIEST (If you tell me how to make you brainliest, lol) What is 81.818182% rounded to the nearest hundredthh???????/
Answer:
81.82%
Step-by-step explanation:
cuz meth
Answer:
81.82
Step-by Step
In order to round to the nearest thousand, you simply have to move the decimal point to the RIGHT. Hope it helps!
~Happy holidays
simplify the expression -3/5(-8 + 5/9x -3)
Please help me on this
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + y = -4
Answer:
y = -x - 4
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
x + y = -4
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: y = -x - 4can someon please help me
Answer:
8.0018.018.19111316Step-by-step explanation:
(1, 1) and (4, 3) slope
Answer:
[tex] \huge \boxed{ \boxed{ \frac{2}{3} }}[/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{3 - 1}{4 - 1} = \frac{2}{3} \\ [/tex]
We have the final answer as
[tex] \frac{2}{3} \\ [/tex]
Hope this helps you