Answer:
x = - 2, x = 4
Step-by-step explanation:
Given
f(x) = (x - 4)(x + 2)
To find the x- intercepts let f(x) = 0, that is
(x - 4)(x + 2) = 0 ← in standard form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4 → (4, 0 )
x + 2 = 0 ⇒ x = - 2 → (- 2, 0 )
Hector is dividing students into groups for an HR wants to divide the boys and girls so that each group has the same number of the boys and girls their 21 boys and 56 girls signed up for the hike to how many groups can the students be divided how many boys and how many girls will be in each group.
Answer:
7 groups, 3 boys and 8 girls
Step-by-step explanation:
Let total number of groups be [tex]x[/tex]
and total hikers in one group be [tex]y[/tex]
if number of girls and boys in every group is same, then
[tex]\frac{21}{x} + \frac{56}{x} = y[/tex]
[tex]\frac{21 + 56}{x} = y\\x*y = 77[/tex] ....(1)
from (1) [tex]x[/tex] will either be 11 or 7
for [tex]x = 11[/tex] the values won't be real.
For [tex]x = 7\\y = \frac{77}{7} \\y = 11[/tex]
so there will be 7 groups with 11 hikers in each groups and every group will have [tex]\frac{21}{7} = 3[/tex] boys and [tex]\frac{56}{7} = 8[/tex] girls
solve log2 [log3 (log4 x)]=0
Solving the nested logarithmic equation log2 [log3 (log4 x)] = 0 requires repeatedly using the concept that y = logb(x) is equivalent to x = by, resulting in x = 64.
Explanation:To answer your question, we'll need to understand that logarithmic expressions such as log2 [log3 (log4 x)]=0 can be solved by step-by-step process called exponentiation.
First, knowing that y = logb(x) is equivalent to x = by, we can re-write the equation log2 [log3 (log4 x)] = 0 as log3 (log4 x) = 20.
Then, using the concept that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number, move forward to solve log4 x = 31.
Finally, applying the same rule once more gives us x = 43 = 64.
Learn more about Nested Logarithmic Equation here:https://brainly.com/question/17260132
#SPJ11
Markus receives dollar bills from his grandfather for on week. On the first day he received $1; on the second day he received $2, on third day he received $4, and on the fourth day he received $8. If this continues, how much money will Markus have by the end of the week?
Answer: $127
Step-by-step explanation:
5th day: 8 * 2 = 16
6th day: 16 * 2 = 32
7th day: 32 * 2 = 64
Then add all the money he got throughout the week,
1 + 2 + 4 + 8 + 16 + 32 + 64
= 127
Represent the following sentence as an algebraic expression, where "a number" is the letter x. number is decreased by 2.
Answer:
x-2
x decreased by 2 equals x-2.
Have a nice day!!!!!!!!!! :-)
KA
Imamu pays $30 each month for his gym membership. What is the change amount of money in his account after 2/3 of a year? A.-120 B.-240 C.-270 D.-360 Bob chose A as the correct answer. How did he get that answer?
Answer:
[tex]B.-240[/tex]
Bob got that by calculating the change amount of money in Imamu's account after [tex]\frac{1}{3}[/tex] of a year (4 months).
Step-by-step explanation:
You know that Imamu pays $30 each month for his gym membership.
Since there are 12 months in a year, you can find the the number of months that [tex]\frac{2}{3}[/tex] of a year represents:
[tex](12\ months)(\frac{2}{3})=\frac{24\ months}{3}=8\ months[/tex]
Now, in order to find the change amount of money in his account after [tex]\frac{2}{3}[/tex] (8 months), you must solve the following multiplication:
[tex](-30)(8)=-240[/tex]
Bob chose [tex]-120[/tex] (Option A) as the correct answer, but that is incorrect, because he got it by calculating the change amount of money in Imamu's account after [tex]\frac{1}{3}[/tex] of a year (4 months).
20/30 as a decimal rounded to the nearest tenth
Answer:
1.5
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
30 cannot be multiplied to give a power of 10, so to find the decimal you have to divide: 2/3 = 2/3 + 2 ÷ 3
2 divided by 3 is 0.6666666... It is a recurring decimal.
However it is not practical to use recurring decimals in calculations, so the decimal is usually rounded off to 2 or 3 decimal places depending on the accuracy required for the answer.
Which scale would produce the largest scale drawing of an object when compared to the actual object?
A. 1 inch : 5 feet
B. 1 inch : 30 inches
C. 1 foot : 12 yards
D. 1 centimeter : 1 meter
Covert the ratios so they are all the same measurement type.
A. 5 feet = 5 x 12 = 60 inches.
The scale becomes 1:60
B. 1:30
C. 12 yards = 12 x 3 = 36 feet x 12 = 432 inches.
The scale is 12:432 = 1:36
D. 1 meter = 39.37 inches.
1 inch = 2.54 cm
39.37 x 2.54 = 99.99 inches
The scale converted to inches becomes 1 :100 inches.
The first number would be the size of the drawing, the second number is the size of the actual object
If you use all 4 scale factors for a real object that is 100 inches:
A would need 100/60 = 1.67 inches.
B would need 100/30 = 3.3 inches.
C would need 100/36 = 2.78 inches.
D would need 100/100 = 1 inch.
The larger scaled drawing would be B.
Answer:
Option B.
Step-by-step explanation:
We need to find which scale would produce the largest scale drawing of an object when compared to the actual object.
First of all cover all units in inches.
In option 1,
1 inch : 5 feet
We know that
1 feet = 12 inch → 5 feet = 60 inch
So the ratio in inches is 1:60. It means the scale factor is 60.
In option 2,
1 inch : 30 inches
So the ratio in inches is 1:30. It means the scale factor is 30.
In option 3,
1 foot : 12 yards
12 inches : 12 yards (1 feet = 12 inch)
1 inch : 1 yards
1 inch : 36 inch (1 yard = 36 inch)
So the ratio in inches is 1:36. It means the scale factor is 36.
In option 4,
1 centimeter : 1 meter
1 centimeter : 100 centimeter (1 m = 100 cm)
1 inch : 100 inch
So the ratio in inches is 1:100. It means the scale factor is 100.
Option B has smallest scale factor, so it will produce the largest scale drawing of an object when compared to the actual object.
Therefore, the correct option is B.
Please answer this correctly
Answer:
Julie
Step-by-step explanation:
She days she lives farther than Joseph and Joseph lives father than dalton
Answer:
Julie
Step-by-step explanation:
Joseph lives farther from the library than David and Dalton.
We are not sure who is closer to the library, David or Dalton, but Joseph is farther than both.
Joseph David Dalton Library
or
Joseph Dalton David Library
Julie lives farther from the library than Joseph, and David lives farther from the library than Dalton. Now we know where David and Dalton go in the figure.
Julie Joseph David Dalton Library
The farthest person from the library is Julie.
Answer: Julie
How do you solve this?
find the slope of the line
Answer:
Undefined or No solution
Step-by-step explanation:
Because this line is a straight, vertical line, it means that the slope is undefined, or no solution. Any time you see a straight line going up and down, this will be true. However, if you see a horizonal line, this will not be true.
2 cubed minus 2 squared
Hello!
your answer is: 4
2 cubed is also written as: 2³
2 squared is also written as: 2²
so the re-written equation is: 2³ - 2²
To solve, simplify by doing the exponents.
2³ = 8
2² = 4
8 - 4 = 4
I hope this helps, and have a nice day!
For which equation would x = 12 be a solution?
12 ÷ x > 12
12 - x ≥ 4
12x < 200
Answer:
12x < 200
Step-by-step explanation:
Substitute x = 12 into the left side of the inequality and compare with right side, that is
12 ÷ 12 = 1 < 12 ← not a solution
12 - 12 = 0 < 4 ← not a solution
12 × 12 = 144 < 200 ← this is a solution
15. The Salton Trough has an elevation of
69 meters below sea level.
The dead Sea Depression is almost 6 times deeper.
Write and find the value of an expression
for the approximate elevation of the Dead Sea Depression.
Answer:
6(-62)
Total: -141
Cask’n’Cork wine shop has a markup rate of 15%. What price will the shop charge for a bottle of zinfandel wine that costs $12.48 wholesale?
Answer:$14.35
Step-by-step explanation:
The shop will charge $14.352 as markup price.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Cask’n’Cork wine shop that has a markup rate of 15%. A bottle of zinfandel wine costs $12.48 wholesale.
Assume that the shop charges $x. Then, we can write -
x = 12.48 + 15% of 12.48
x = 12.48 + (15/100) x 12.48
x = 12.48 + (3/20) x 12.48
x = 12.48 + 1.872
x = 14.352
Therefore, the shop will charge $14.352 as markup price.
To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ5
[x+4y+z=3
2x + y +z=11
4x + y + 2z = 23
the angle measures are represented by algebraic expressions. determine the values of x y and z
Answer:
The value of x = 0.5, y = 0.8 and z = 0.9
Step-by-step explanation:
From the given figure. Let's form the equations
50z + 13 + 45x + [tex]\frac{19}{2}[/tex] = 90°
45x + 50z + 13 + 9.5 = 90
45x + 50z + 22.5 = 90
45x + 50z = 90 - 22.5
45x + 50z = 67.5 --------------------------(1)
[tex]\frac{225y}{2} = 90[/tex]° Because it is a right angle.
225y = 180
y = [tex]\frac{180}{225}[/tex]
y = 0.8 --------------------(2)
44x + 125y + 80z -14 = 180° because they are supplementary angles add upto 180 degrees.
44x + 125y + 80z = 180 + 14
44x +125y + 80z = 194 ------------(3)
Now plug in y = 0.8 in the above equation (3), we get
44x + 125 times 0.8 + 80z = 194
44x + 100 + 80z = 194
44x + 80z = 194 - 100
44x + 80z = 94 ---------------------(4)
Now let's solve the equation (1) and (4) using elimination method.
x = 0.5
Now plug in x = 0.5 in the equation (4) and find the value of z
44(0.5) + 80z = 94
22 + 80z = 94
80z = 94 - 22
80z = 72
z = [tex]\frac{72}{80}[/tex]
z = 0.9
Therefore, the value of x = 0.5, y = 0.8 and z = 0.9
the output of a function is 7 more than 3 times the input find the input when the output is -8
Answer:
The input is -5 when the output is -8
Step-by-step explanation:
Let
y-----> the output
x ----> the input
we know that
The linear equation that represent this problem is
[tex]y=3x+7[/tex]
so
For y=-8
substitute in the equation and solve for x
[tex]-8=3x+7[/tex]
Subtract 7 both sides
[tex]-8-7=3x\\-15=3x[/tex]
Divide by 3 both sides
[tex]x=-5[/tex]
therefore
The input is -5 when the output is -8
Sergei estimated 149% of 67 by performing the following steps. Which statement is true?
(70)(150%)
- (70)(100% + 50%)
- (70)(100%) + (70)(50%)
- (70)(1)+ (70) )
- 70+35
- 105
The estimate is less than the actual answer because the percent and the number were both rounded down.
The estimate is less than the actual answer because the percent and the number were both rounded up.
The estimate is greater than the actual answer because the percent and the number were both rounded down.
The estimate is greater than the actual answer because the percent and the number were both rounded up.
Answer: Last option.
Step-by-step explanation:
In order to estimate the percent "n" of a number"x", you need easy numbers to work with, therefore you can round "n" and "x" up or down; but it is important to remember that this estimation does not give you an exact value.
You can observe that Sergei's first step was to round 149% and 67 up, getting this result:
[tex]=105[/tex]
To verify if this estimate is less or greater than the actual answer, we can find the actual answer. This is:
[tex]\frac{67*149}{100}=99.83[/tex]
Therefore, we can conclude that the estimate is greater than the actual answer because the percent and the number were both rounded up.
Answer:
D
Step-by-step explanation:
I did it on Edgen 2020
The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. A coordinate plane showing Prism versus Pyramid. The x-axis shows Pyramid Volume in cubic units and the y-axis shows Prism Volume in cubic units. The line starts at (0, 0) and passes through (1, 3), (2, 6) and (3, 9). What is the slope of the line?
Answer:
The slope of the line is 3
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have a line that passes through the origin,
so
The graph shows a proportional relation ship
[tex]k=y/x[/tex]
For (1,3) ------> [tex]k=3/1=3[/tex]
For (2,6) ------> [tex]k=6/2=3[/tex]
For (3,9) ------> [tex]k=9/3=3[/tex]
The equation is
[tex]y=3x[/tex]
The slope of the line is 3
Answer:
The slope of the line is 3.
Step-by-step explanation:
In the graph x-axis shows Pyramid Volume in cubic units and the y-axis shows Prism Volume in cubic units.
The line starts at (0, 0) and passes through (1, 3), (2, 6) and (3, 9).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points of the line: (0, 0) and (1, 3). So, the slope of the given line is
[tex]m=\frac{3-0}{1-0}[/tex]
[tex]m=3[/tex]
Therefore, the slope of the line is 3.
(Geometry) The answers are x = 15 and y = 9 but I don't know how. Help me understand this
Check the picture below.
[tex]\bf \stackrel{\measuredangle DAC}{4y+2x}~~=~~\stackrel{\measuredangle BCA}{9y-x}\implies 2x=5y-x\implies 3x=5y\implies \boxed{x=\cfrac{5y}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle DAB}{[(4y+2x)+35]}~~+~~\stackrel{\measuredangle ADC}{5x+4}~~=~~180\implies 4y+2x+5x+39 = 180 \\\\\\ 4y+7x+39=180\implies 4y+7x=141\implies \stackrel{\textit{substituting "x"}}{4y+7\left( \boxed{\cfrac{5y}{3}} \right)} = 141[/tex]
[tex]\bf 4y+\cfrac{35y}{3}=141\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 4y+\cfrac{35y}{3} \right)=3(141)}\implies 12y+35y=423 \\\\\\ 47y=423\implies y=\cfrac{423}{47}\implies \blacktriangleright y = 9 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=\cfrac{5y}{3}}\implies x = \cfrac{5(9)}{3}\implies \blacktriangleright x = 15 \blacktriangleleft[/tex]
What the value of the underline digit 213,669
One
Answer:
10,000
Step-by-step explanation:
Hope this helps!
Hey!
----------------------------------
Solution and Answer:
2 = hundred thousands
1 = ten thousands
3 = thousands
6 = hundreds
6 = tens
9 = ones
----------------------------------
Hope This Helped! Good Luck!
bob has 5 apples now he has 5 how much does he have now
Answer:
5
Step-by-step explanation: Mind/Bamboozling question
Answer:
Bob has 5 apples still
Step-by-step explanation:
All by the amazing scientific reasoning of
when you have 5 of something
you go away and you still have 5
YOU WILL ALWAYS HAVE 5
what is 3/10 of the way from (-3,-6) to (9,4)
we'll first off put the two points in component form, then we'll multiply that by the fraction 3/10 and those coordinates we'll simply add to the first point, anyhow, let's proceed,
[tex]\bf \textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{4})~\hspace{8em} \frac{3}{10}\textit{ of the way from }A\to B \\\\[-0.35em] ~\dotfill\\\\ \stackrel{~\hfill \textit{component form of segment AB}}{ (\stackrel{x_2}{9}-\stackrel{x_1}{(-3)}, \stackrel{y_2}{4}-\stackrel{y_1}{(-6)})\implies (9+3~,~4+6)\qquad \implies \qquad (12,10)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{~\hfill \textit{values to be added to Point A coordinates}} {\cfrac{3}{10}(12,10)\implies \cfrac{3}{10}(12)~,~\cfrac{3}{10}(10)\qquad \implies \qquad \left(\frac{18}{5}~,~3\right)} \\\\\\ \stackrel{\textit{addition of Point A coordinates and values}} {A(-3,-6)+\left( \frac{18}{5},3\right)\implies \left( -3+\frac{18}{5}~~,~~-6+3 \right)\qquad \implies \left( \frac{3}{5}~,~-3\right)}[/tex]
Any tutors here for the ASVAB? I need immediate help.
Answer:
I can help :)
My sc is softgurlshere
I need urgent!!
The first people answer this question I give brainliest.
Directions:use the chart below to help answer the questions that follow
C.jeremy sister,Susie ,borrowed the money from their mom to pay for her order. The mother has agreed to deduct an equal amount of money from suzie allowance each week for the next five weeks to repay the loan . What is the weekly change in suzie allowance?
Numerical answer:
Explanation:
D. Jeremy grandparents want to change their order. They want to order three daisies and one geranium, instead of your daisies. How does this change affect the amount of their order? Explain how you arrived at your answer.
E. Jeremy approaches three people who do not want to buy any plants; however,they wish to donate some money for the fundraiser when Jeremy delivers the plants one week later. If the people promise to donate a total of $14.40, what will be the average cash donation?
F. Jeremy spends one week collecting orders.If 22 people purchase plants totaling $270,what is the average amount of Jeremy sale?
Numerical answer:
Explanation:
A) The total for the plants she buys is 8.50, so the change in her checking account would be -8.50, because they will take 8.50 out of her account when the check is cashed, the amount in her account is lowered.
B) Mr. Clark's total is 11.25. If he pays with a 20, subtract the plant total from 20:
20 - 11.25 = 8.75 is the amount of change Jeremy owes him.
The amount of money Jeremy collects would be that amount higher than what he needs.
C) Suzie owed 2.50, divide the amount she borrowed by the number of weeks her mom is keeping money:
2.50 / 5 = 0.50
Her allowance will be 0.50 less than what she normally would get.
D) Grandparents original amount = $15.00
3 daises = 3 x 3.75 = 11.25
1 geranium = 2.25
Total for new order = 11.25 + 2.25 = 13.50
Difference = 15 - 13.50 = 1.50
The new order would be $1.50 less.
E) Divide the total amount of the donation by the number of people:
14.40 / 3 = $4.80
F) Divide total amount by total people:
270 / 22 = $12.27 average
What is the equation of the line that is perpendicular to Y= -2/3X+4 and that passes through (-2,-2)?
Y= 3/2x-10/3
Y=3/3x-5
Y=3/2x+1
Y=3/2x-2/3
Answer:
[tex]y = \frac{3}{2}x + 1[/tex]
Step-by-step explanation:
-2 = 1½[-2] + b
-3
1 = b
y = 1½x + 1
** 1½ = 3⁄2
Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:
-⅔ → 1½
I am joyous to assist you anytime.
Answer:
y=3/2x+1
Step-by-step explanation:
You’re trying to find the perpendicular like equation of y=-2/3x+4 that passes through (-2,-2). Use reciprocal of slope -2/3= 3/2. use y=mx+b and plug in info, (-2,-2) will be plugged in for both y and x and 3/2 will be plugged in for m making -2=(3/2)(-2)+b. Multiply the () to get -2=-3+b, add 3 to both sides of the equation to get 1=b. Use your info to make the finished equation y=3/2x+1
a cheetah can run 27 m per second that means that a travels 27 m in 1 second at this rate how far can it travel in 8 Seconds
Answer:
5.4 m/s2
Step-by-step explanation:
Answer: 216 meters per 8th second
Step-by-step explanation:
do 27 times 8 it will give you 216
8-5b=-7 solve please
Answer:
Step-by-step explanation:
subtract 8
-5b=-15
divide negative 5
b=3
Answer the answer to your question is b=3
Which ordered pair is a solution of the equation? -3x-y=6
The correct answer is (B) Only (-3, 3).
To determine which ordered pair is a solution of the equation, you need to substitute the values of \( x \) and \( y \) into the equation and see if it holds true. Let's check:
For option A: (-4, 4)
Substituting into the equation: \( -3(-4) - 4 - 6 = 12 - 4 - 6 = 2 \) which is not equal to 0, so it's not a solution.
For option B: (-3, 3)
Substituting into the equation: \( -3(-3) - 3 - 6 = 9 - 3 - 6 = 0 \) which is equal to 0, so it is a solution.
Thus, the correct answer is (B) Only (-3, 3).
Complete question :
Which ordered pair is a solution of the equation?
-3x-y-6
Choose 1 answer:
A Only (-4, 4)
B Only (-3, 3)
C Both (-4, 4) and (-3,3)
D Neither.
How many times dose 24 go into 1,392
Answer:
58
Step-by-step explanation:
1392/24=58
Answer: 24 goes into the number 1,392, 58 times