Answer:
f(x) + 3g(x) = 14x + 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x
g(x) = 4x + 5
Step 2: Find
Substitute in functions: 2x + 3(4x + 5)[Distributive Property] Distribute 3: 2x + 12x + 15Combine like terms: 14x + 15PLEASE HELP ME GUYS!! ITS URGENT
=. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
per week. Priya starts with $30 in her savings account and adds $15 each week.
After three weeks, who has more money in their savings account? Explain how you know.
a.
Answer:
diego. 80+(5x3)= 95
it isn't priya because 30+(5x3)=45
At Garcia's Bike Rentals, it costs $45 to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar?
Answer:
5
Step-by-step explanation:
Answer:
$0.09/minute
Step-by-step explanation:
$45/8 hours is $5.63 per hour
There is 60 minutes in an hour.
So you do $5.63/60 minutes and it's about $0.09
So it's 9 cents per minute
hope this helps :)
Order the values of the differences from least to greatest. First, write the fractions as decimals. StartFraction 4 Over 5 EndFraction is and Negative 1 and one-half is . Next, plot the numbers on the number line. The greatest number is . Using the students' names, the correct order is .
Complete Question:
Ms. Perez's biology class grew sunflowers to learn about plants. During the first week, the average sunflower grew 3 inches. The table shows the difference from the average for three students.
Order the values of the differences from least to greatest.
Student: Raj. Difference (in.): 4/5
Student: Clara. Difference (in.): -1 1/2
Student: Jacob. Difference (in.): 0.9
Answer:
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
The greatest is: 0.9
By student names: Clara, Raj and Jacob
Step-by-step explanation:
See comment for complete question
Given
Differences:
[tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
Required
Order from least to greatest
We have: [tex]\frac{4}{5}[/tex], [tex]-1\frac{1}{2}[/tex], [tex]0.9[/tex]
First convert fractions to decimal
[tex]\frac{4}{5} = 0.8[/tex]
[tex]-1\frac{1}{2}= -1.5[/tex]
[tex]-\frac{3}{4} = -0.75[/tex]
So, the differences become:
[tex]0.8[/tex], [tex]-1.5[/tex], [tex]0.9[/tex]
Now arrange from least to greatest
[tex]-1.5[/tex], [tex]0.8[/tex] and [tex]0.9[/tex]
From the above representation,
The greatest is: 0.9
By student names, we have:
Clara, Raj and Jacob
This is done by simply replacing the numbers with the student name.
See attachment for number line
Answer:
4/5 is 0.8 , -1 1/2 is -1.5 , The greatest number is 1.3 , mia, raj, clara, jacob
Step-by-step explanation:
Can someone solve this equation for me?
[tex]f(x)=(1-0.08)^{(\frac{1}{52})^{12t}[/tex]
Answer:
$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .
please help me find the value of x
Answer:
x=105 hope it helps ur day will nice
VA
Explain how you would find the coordinates of the image
of (5, 2) if it was reflected over the x-axis and then that
image was reflected over the y-axis. What would be the
end result?
Answer:
srry that the two people here befre me didnt help you
Sample Response: To find the image after a reflection over the x-axis, I would negate the y-coordinate. To find the image after a reflection over the y-axis, I would negate the x-coordinate. So, reflecting the point (5, 2) over the x- and y-axis, I would get (–5, –2).
if u dont want to write the paragraph make sure t have this in your sentence
Negate the y-coordinate.
Negate the x-coordinate.
Get the point (–5, –2).
does anyone know what this is ?
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between trig functions and angle.
Tan = Opposite/Adjacent
tan(θ) = y/x
Sin = Opposite/Hypotenuse
sin(θ) = y/4
The given relation is ...
tan(θ) = 2·sin(θ)
y/x = 2(y/4)
2 = x . . . . . . . multiply by (2x/y)
_____
Additional comment
Then the angle can be found from the relation ...
Cos = Adjacent/Hypotenuse
cos(θ) = x/4 = 2/4 = 1/2
θ = arccos(1/2) = 60°
and the value of y is ...
y = 4·sin(60°) = 2√3
Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=
Answer:
Seventh term is 64
Sum of the first seven terms is 127
Step-by-step explanation:
The common ratio is 2
[tex]a_{n} = a_{1} r^{n - 1}[/tex]
n = 7 and the first term is 1. So,
[tex]a_{7} = 1(2^{7 - 1} ) = 2^{6} = 64[/tex]
Seventh term is 64
[tex]S_{n} = \frac{a_{1} (r^{n} -1)}{r - 1}[/tex]
[tex]S_{7} = \frac{1(2^{7} -1)}{2 - 1}[/tex]
[tex]= \frac{128 - 1}{1} = 127[/tex]
Sum of the first seven terms is 127
E = MV^2 ÷ 2 + mgh, If M=20, h=15, E=4900, g=9.8. Find V
Answer:
V = 14 m/s
Step-by-step explanation:
[tex]E = MV^2 ÷ 2 + mgh \\ \\ 4900 = 20V^2 ÷ 2 + 20 \times 9.8 \times 15 \\ \\ 4900 = 10V^2 + 2,940\\ \\ 4900 - 2940 = 10V^2 \\ \\ 1960 = 10V^2 \\ \\ V^2 = \frac{1960}{10} \\ \\ V^2 = 196 \\ \\ V = \sqrt{196} \\ \\ V = 14 \: m {s}^{ - 1} [/tex]
The blizzard company sent a survey to their world of warcraft subscribers and asked if they were expected about the up coming expansion. From the survey, 16 people of the 20 people surveyed said they were excited. A) the probability that 2 people were excited without replacement is
Answer:
0.6316
Step-by-step explanation:
The computation of the probability that 2 people were excited without replacement is shown below:
There is a total of 20 people
out of which 16 are excited and the remaining 4 would be non-excited
Now the probability would be
[tex]= \frac{^{16}C_2}{^{20}C_2}[/tex]
= 0.6316
6(-5x - 16) = 30y + 84
help find value of y please
Answer:
The third option
Step-by-step explanation:
60+y=180
y=120
Answer:
y = 120
Step-by-step explanation:
What is the volume of this rectangular prism?
1/4 cm,
1/2 cm,
1/3 cm
Reduce the fraction to its simplest terms.
Help - I’m failing math and I might get held back so please just help
Answer:
[tex] \frac{y}{34} [/tex]
Step-by-step explanation:
Cosine is the adjacent side of the triangle divided by the hypotenuse.
The numerator is going to be the side adjacent to the angle 53
So the top number is y.
The hypotenuse is the side opposite of the right angle. So the bottom number is 34
What is the scientific notation for .000472
Answer:
The scientific notation for 0.000472 is 4.72 * [tex]10^{-4}[/tex].
If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?
To determine the constant that makes the expression (x² + kx) a perfect square,
Take the coefficient of the second term which is k and ÷2
In this case, it is (7/2)²
At the end it looks like
x² + 7x + (7/2)² = 27 + 49/4
(x + 7/2)² = 157/4
The number is added is 7/2² or 49/4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x² + 7x – 27 = 0.
Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x
So, x² + 7x – 27 +7/2² - 7/2² = 0.
( x+ 7/2)² – 27- 49/4 = 0.
( x+ 7/2)² = 157/4
Hence, the number is added is 7/2² or 49/4.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ5
What will be the cost of the paving if cement costs $26.50 per square metre?
Answer:
hey
Step-by-step explanation:
A) 274 m2
B) 302 m2
C) 344 m2
D) 420 m2
Answer:
The answer is C)344 m2
Step-by-step explanation:
6 x 7 x 2
7 x 10 x 2
6 x 10 x 2
The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height.
Answer:
Height of the parallelogram = 37.5 cm
Step-by-step explanation:
As given,
Base of a parallelogram = 75 cm
Height of a parallelogram = 25 cm
As,
we know that
Area = Base × Height
= 75 × 25
= 1875 cm²
As the parallelogram is same
So, Area = Base × Height
⇒1875 = 50 × Height
⇒ Height = [tex]\frac{1875}{50}[/tex] = 37.5 cm
So, we get
Height of the parallelogram = 37.5 cm
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse DF is 13, the length of E F is 5, and the length of E D is 12.
What is the length of the side opposite ∠D?
units
sin(D) =
Answer:
5 and 5/13
Step-by-step explanation:
What is the length of the side opposite ∠D?
✔ 5
units
sin(D) =
✔ 5/13
Target sells 3 apples $1.50 what is the cost of 20 apples
Answer:
$10
Step-by-step explanation:
1.50 divided by 3 = 0.50
0.50 x 20 = 10
are 7/18 and -21/-56 are equivalent
Answer:
yes they are equivalent. if you simplify -21/-56 by dividing it by 3 you will get -7/-21 which equals to 7/21
Round 0.9271 to the nearest whole number.
Answer:1
Step-by-step explanation:
Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000
Answer:
1 is round off of 0.9271to the nearest whole number.
Jan wants a bunch of balloons for her birthday party. There were 10 red, 12 blue, 13 green and 15 yellow balloons. What percentage is the blue balloons ?
Answer:
Should be 24%
Step-by-step explanation:
12/50= .24
help PLEASE!!! [URGENT]
Find the coordinates of the intersection of the diagonals of rectangle WXYZ with the given vertices. W (-1, 7), X (8,7), Y (6,-2), Z (-3,-2).
(-1,7) X (8,7) Y ( 6-2), ( -3 -2).
What is the value of w?
AnswThe letter (W) is the symbol used to represent whole numbers. Whole numbers are counting numbers from 0 to infinity. The whole numbers (W): 0, 1, 2, 3, 4 . . . Notice that every natural number is a whole number.er:
Step-by-step explanation:
If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?
Answer:
141.5 in
Step-by-step explanation:
sin 58 = m/p = 120/p
120 = psin58
120/sin 58 = p
p = 141.5 in.
Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side. Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p
Brandon buys a radio for $43.75 in a state where the sales tax is 7%.
Part 1 out of 2
How much does he pay in taxes? If necessary, round to the nearest cent
Answer:
Tax: $3.06
Step-by-step explanation:
7% of 43.75 = 0.07 × 43.75 = 3.0625
43.75 increase 7% =
43.75 × (1 + 7%) = 43.75 × (1 + 0.07) = 46.8125
Radio: $43.75
Tax: $3.06
Total: $46.81