Answer:
1) x=0.5
2 x=0
Step-by-step explanation:
Question No. 1
4(x+2)=10
4x+8=10
4x=2
x=0.5
Question No. 2
12-8x=3(x+4)
12-8x=3x+12
8x-3x=12-12
5x=0
x=0
1. f(x) = 3x – 2; f(4)??
Answer:
the answer is 5
Step-by-step explanation:
f(4) = 3(4) -2
7 - 2 = 5
You have a box with dimensions 2 ft. x 4 ft. x 3 ft. a. If you want to wrap the box, what is the minimum amount of wrapping paper you need? b. If the paper cost $2.59 per square foot, what is the minimum cost?
Answer: A) 52 ft B) $134.68
Step-by-step explanation:
First find the surface area by multiplying the dimensions together.
2 x 4 = 8
2 x 3 = 6
4 x 3 = 12
Then add them up and multiply by two because there are two of each side.
26 x 2 = 52
To find the cost, multiply 52 by $2.59 to get the price.
52 x $2.59 = $34.68
Help please:)))
Find the equation of a line perpendicular to 4x - y = 2 that contains the point (4, -2). Write the equation in slope.
intercept form.
Answer:
y = -1/4x - 1
Step-by-step explanation:
First, put the equation in slope intercept form:
4x - y = 2
4x - 2 - y = 0
4x - 2 = y
y = 4x - 2
Perpendicular lines have opposite reciprocal slopes. Since the original slope is 4, the other line's slope will be -1/4
Plug in the given point and the slope into y = mx + b, then solve for b:
y = mx + b
-2 = -1/4(4) + b
-2 = -1 + b
-1 = b
Plug in the slope and b into the equation:
y = -1/4x - 1 is the equation
Find the reciprocal of 10 1/2!
Answer:
2/21
Step-by-step explanation:
10 1/2=21/2 and then flip it
One side of a triangle is half the longest side. The third side is 10 meters less than the longest side. The perimeter is 45 meters. Find all three sides.
m (smallest value)
m
m (largest value)
2
Name the intersection of plane P and plane ABD.
C
P
B.
.
D
E
BD
Point D
AD
Point B and Point D
Answer:
D
Step-by-step explanation:
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┈╱╲▏▎▅▂▅▂▏▎▏▎▏▏
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HELP ME ASAP!!!!!!!!!!!! 30 POINT REWARD!!!!!!!!!!!!!!!!!!!!!!!PLEASE EXPLAIN AND SOLVE!!!!!The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
X g(x)
0 $600
3 $720
6 $840
Part A: Find and intepret the slope of the function
Part B: Write the equation in point slope, slope intercept form, and standard form
Part C: Write the equation of the line using function notation
Part D: What is the balance of the bank account after 7 days?
Part A:
The y-intercept is $1,500
The x-intercept is 20 days
Part B:
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
f(x) = -75·x + 1500
Part D:
$1,125
Step-by-step explanation:
The information given are;
x, g(x)
0, $1,500
2, $1,350
4, $1,200
The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is y = m·x + c
Where;
m = The slope
c = The y-intercept
From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);
The y-intercept = y at x = 0 = 1,500
y = -75·x + 1500
x = 1500/75 = 20
Part B:
The equation in point-slope form is y - y₁ = m×(x - x₁)
Which gives;
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
The equation of the line using function notation is f(x) = -75·x + 1500
Part D:
The balance in the bank after 5 days is f(5) = -75 × 5 + 1500 = $1,125
iTunes charges a one time fee of $10 and $ 1 per song . Spotify charges a one time fee of $20 and $0.50 per song. After how many songs will the Spotify membership pay off and in the long run cost you less ?
Answer:
7
Step-by-step explanation:
Graph y=3/4+4 Please! I need help!
4 groups of ___ tenths is 1.6
Given:
4 groups of ___ tenths is 1.6.
To find:
The value for the blank.
Solution:
Let the unknown value be x.
4 groups of x tenths is 1.6.
[tex]4x=1.6[/tex]
Divide both sides by 4.
[tex]\dfrac{4x}{4}=\dfrac{1.6}{4}[/tex]
[tex]x=0.4[/tex]
So, 4 groups of 0.4 tenths is 1.6.
Therefore, the required answer for the blank is 0.4.
What is the square root of -1?
-i
i
-1
1
Answer:
the square root of -1 is i
Step-by-step explanation:
Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie [tex]2^{2} = 4, -2^{2} =4[/tex], there is no way to square a real number to get -4).
To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ([tex]\sqrt{-4} = 2i[/tex]) or get negative numbers through squaring ([tex]2i^{2} = -4[/tex]).
The required value of the square root of -1 is i. The correct answer is option B.
As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.
The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.
The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.
⇒ √(-1)
⇒ √(i²)
⇒ i
So, the correct answer is "i."
Learn more about complex numbers here:
brainly.com/question/19007885
#SPJ6
Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees of R? Explain.
Answer:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
Step-by-step explanation:
The possible degrees are 0, 1, and 2. Let's explain why by assuming the following is given:
P = 6x² - 3x - 2
Q = 3x² + 2x - 6
Let R = P - Q
Thus:
(6x² - 3x - 2) - (3x² + 2x - 6)
Open parentheses by distributing the factor of -1
6x² - 3x - 2 - 3x² - 2x + 6
Add like terms together
6x² - 3x² - 3x - 2x - 2 + 6
R = 3x² - 5x + 4
The leading term of R has a degree of 2. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 2.
Also, let us assume the following:
P = 4x² + 4x - 3
Q = 4x² + x - 8
Let R = P - Q
R = (4x² + 4x - 3) - (4x² + x - 8)
R = 4x² + 4x - 3 - 4x² - x + 8
Collect like terms
R = 4x² - 4x² + 4x - x - 3 + 8
R = 4x + 5 (4x² cancels 4x²)
The leading term of R has a degree of 1. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 1.
Also, let us assume the following:
P = x² + 2x - 3
Q = x² + 2x - 8
Let R = P - Q
R = (x² + 2x - 3) - (x² + 2x - 8)
R = x² + 2x - 3 - x² - 2x + 8
Collect like terms
R = x² - x² + 2x - 2x - 3 + 8
R = 5 (x² cancels x², and 2x cancels 2x)
The polynomial R has a degree of 0. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 0.
Therefore we can conclude that:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
A lab technician must screen 175 slides under the microscope each week. If she works 7 hours a day, 5 days a week, how many slides,on average, must she screen in one hour
Answer:
The lab technician must screen 5 slides per hour
Step-by-step explanation:
If the lab technician works 5 days a week, and 7 hours per day, then she works 5*7 = 35 hours a week.
Given she must screen 175 slides each week, we can calculate on average, the number of slides per hour needed to complete the work.
The average is calculated as:
[tex]\displaystyle average=\frac{\text{total slides}}{\text{total hours}}[/tex]
[tex]\displaystyle average=\frac{175}{35}=5\ slides/hour[/tex]
The lab technician must screen 5 slides per hour
- What is the area of the square?
(A) 16
(B) 25
(C) 32
(D) 36
(E) 41
Answer:
I counted 32 squares in and out
Answer:
A=a^2, so A=4^2=16 , or 4*4=16
Step-by-step explanation:
All sides of a square are equal, so the length of the sides are all 4. Put 4 in for a in the formula A=a^2 or Area = side length squared.
A = 4^2
A = 4 * 4
A = 16
what is 7,233 divided by 84?
2gh – (3 + 7) + x/4
Choose 3 answers
Answer:2182
Step-by-step explanation:
What is the correct answer?
Answer:
d) 3
Step-by-step explanation:
4t^2 +5t -1
in this equation there are 3 terms:
4t^2, 5t, and -1
Answer:
answer is 3 because there are 4t square + 5t -1
1 2. 3
Bev scored 540 points. This was 158 points more than Ike scored. How many points did Ike score?
Answer:
382
Step-by-step explanation:
540 - 158
Find the perimeter of the rectangle.
5 in.
9 in.
Answer:
28 inches
Step-by-step explanation:
0.3 ÷ 6.24 show your work, ik im retarted
Answer:
Below are the steps to take
Find the absolute value. |9|=???
-5(k + 4) > 2 - (3k + 6)
Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.
Week Mass (grams)
(start) 80
1
2
3
4
Answer:
Week 1 = 80
Week 2 =88
Week 3 = 96.8
Week 4 = 106.48
Week 5 = 117.128
Step-by-step explanation:
Given
Week 1 = 80
Growth = 10%
Required
Fill week 1 to 5
We have week 1 already.
Week 2 is calculated as thus:
Week 2 = Week 1 + 10% * Week 1
Week 2 = 80 + 10% * 80
Week 2 = 80 + 8
Week 2 = 88
Week 3 is calculated as thus:
Week 3 = Week 2 + 10% *Week 2
Week 3 = 88 + 10% * 88
Week 3 = 88 + 8.8
Week 3 = 96.8
Week 4 is calculated as thus:
Week 4 = Week 3 + 10% * Week 3
Week 4 = 96.8 * 10% *96.8
Week 4 = 96.8 + 9.68
Week 4 = 106.48
Lastly, week 5 is calculated as thus:
Week 5 = Week 4 + 10% * Week 4
Week 5 = 106.48 + 10% * 106.48
Week 5 = 106.48 + 10.648
Week 5 = 117.128
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answer:
512 ounces
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
multiply the volume value by 128
Annie bakes cookies and cupcakes in a ratio of 4 to 3 for her gift boxes. Her school needs 35 desserts to sell in a bake sale.
How many cupcakes will she bake? How many cookies will she bake?
Answer:
20 cookies and 15 cupcakes (20:15)
Explanation:
First you need to multiply 4 by 5 which equals 20. Then 3 by 5 which equals 15. Then you need to add them together to get 35!
Ratio Table!
4 | 3 x4
16 | 12 + 4:3
20 | 15 = 35!
I Hope This Helps!
what number is 100 more than 152
Answer:
252
Step-by-step explanation:
252-
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Pls pass this on. Everyone deserves to know this. ♥️♥️
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Find the constant of proportionality.
Please don't answer if you don't know it. (it doesn't help whatsoever)
One night in January, the temperature in Alaska is -16℉. The next day, the temperature is half of what it was the night before. What is the temperature? One night in January, the temperature in Alaska is -16℉. The next day, the temperature is half of what it was the night before. What is the temperature?
Answer:
-8 degrees
Step-by-step explanation
Half of negative 16 would be negative 8.
Answer:
-8
Step-by-step explanation:
-16 ÷ 2 = -8
You could also do:
16 ÷ 2 = 8
and then put a negative in front of 8
And to prove it's true,
8 x 2 = 16
-8 x 2 = -16
Which factor can cause secondary succession?
A. clear cutting
B. glacial melting
C. competition
D. predation
(Which one from these answers?)
Answer:
a
Step-by-step explanation:
If X is at most 30 find x
Answer:
x[tex]\leq[/tex]30
Step-by-step explanation:
X can be many possiblities
So we can write it out with a smaller than sign and an equal sign
So now it means that x has to be smaller than 30 or equal to 30