Answer:
The rate of change or slope m = -50
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptGiven that there is $500 in Holly's bank account.
Thus, the y-intercept b = 500
It is stated that she takes out $50 from her account each month but doesn't put money back in.
It means the rate of change or slope is decreasing.
Thus, the rate of change or slope m = -50
EXTRA BONUS!
We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form
[tex]y = mx+b[/tex]
y = -50x + 500
Here:
The slope m = -50
The y-intercept = 500
P L S H E L P W I LL S C A M I F YO U S T EA L M Y P O I N T S
Answer:
B for sure
Step-by-step explanation:
The amount of energy used decreases by a different amount each year.
Option B is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the table,
Amount of energy used.
First-year: 1,000,000
Second-year: 900,000
Third year: 810,000
Fourth-year: 792,000
The difference between the amount of energy between consecutive years.
1,000,000 - 900,000 = 100,000
900,000 - 810,000 = 90,000
810,000 - 792,000 = 18,000
We see that,
There is a different amount of energy decreasing each year.
Thus,
The amount of energy used decreases by a different amount each year.
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The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
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what ratiois equivalent to the ratio 7 : 350
Answer:
14: 700
Step-by-step explanation:
First you must ad or multiply each part of your ratio multiple times.
This was the next number in the ratio outlook.
I multiplied 7x2
Then 350x2
which got me the ratio 14:700
Emily is purchasing bags of soil to be delivered for her yard. Each bag of soil cost
$4 and there is a $50 delivery fee. Emily spends $130 total. Write an equation for
x, the number of bags of soil Emily purchased.
Answer:
equation- 4x + 50 = 130
Step-by-step explanation:
once solved you will know the number of bags Emily purchased (x).
Solve And Graph 12 + 6 _> 42
Answer:
Steps
12+6>42
simplify
18>42
There for the solution us FALSE
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
First solve for x.
Answer:
2x + 7= 4x + 17
x=−5
Which statements are true regarding triangle LMN? Check all that apply.
Answer:A,C,E
Step-by-step explanation:I took the quiz
Answer:
its right ACE
Step-by-step explanation:
What is the square root of six divided by seventy five
Answer:
0.32 is the answer. to this question
Which ordered paur is a part of the equation? 3x-y=13
Answer:
(6,5), (3,-4) either one of those...
-11 + x = 7x - 5. PLEASE HELPP WHAT DISE X EQUAL
Answer:
x= -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Brainly plss?
Answer:
x=-1
use math papa calculator it helps :)
To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answer:
86
Step-by-step explanation:
36 + 4 = 40 x 2 =80
36 x 2 = 82 = 4 - 86
Hope it helps!
The special number was supposed to be; 76
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
For age 'a', the special number was
2a +4
Tammi's mother actually calculated it as;
2(a +4) = 2a +8
Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be;
80 -4 = 76.
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if the mean of 6 7 13 and 10 is 8 find the range
Answer:
hope this hlo u
Step-by-step explanation:
range =highest observation-lowest observation
range=10-6
=4
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?
9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
A. ( x + 5)
B. ( x - 5 )
C. ( x + 3 )
D. ( x - 3 )
Answer:
(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0
Step-by-step explanation:
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
Can someone help me out?
Answer:
do I solve it or what am I supposed to do
Answer:
y=6
Step-by-step explanation:
Work out these approximate conversions. 8 miles=..... km
Answer:
12.87 km
Step-by-step explanation:
searched it up
A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.
Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
3 x ^3 − 4 x ^2 − 23 x + 10
Step-by-step explanation:
hope this helps!
Show if 2 is a SOLUTION or NOT a SOLUTION to the equation 0.5(x + 0.8) = 1.4
Step-by-step answer:
0.5(x+0.8)=1.4
0.5x+0.4=1.4
0.5x+0.4-0.4=1.4-0.4
0.5x=1
0.5x/0.5=1/0.5
x=2
Plzzzzz give me Brainliest!!!!!
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answer:
Step-by-step explanation:
9/7
Hope it helped you.
Please mark me brainliest.
X - 5 = -11
Solve the value of x.
Find the slope.....................
hii can someone plsss pls help me asap?!
Answer:
The slope is 2/1(rise over run)
So,2/1 is 2
Answer is 2
Help with his plz ASAP!!
Answer:
what do you need help on?
2. Find the value of x in the figure. Examples 3-4)
100°
x
Given the equation log2x + log2(x – 7) = 3, solve for x.
Answer:
x∈{-1, 8}Step-by-step explanation:
[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]
Simplify the expression:
4b - 24 + 19
4p - 5p - 30p
4.2v - 5 - 6.5v
find the area of this parallelogram. be sure to include the correct unit in your answer
Answer:
84ft
Step-by-step explanation:
The formula to find the area of a parallelogram is b x h.
The base is 14ft and the height is 6ft. Multiply these together.
14 x 6 = 84ft
Each day that Samantha rides the train to work, she pays $4.00 each way. If Samantha takes the train to work and back 3 times, which amount represents the change in her money?
Answer:
Total ticket expenses = $24
Step-by-step explanation:
Given:
Each way cost = $4
Total ways = 3 x 2 = 6 times
Find:
Total ticket expenses
Computation:
Total ticket expenses = Each way cost x Total ways
Total ticket expenses = 4 x 6
Total ticket expenses = $24
Alisa, Mykia, and Martin decide to share the responsibility of walking their dog every day. There are 365 days in a year. How many days each year does Alisa need to walk the dog?
Answer: 121 2/3 days
Step-by-step explanation:
Number of days in a year = 365 days
Number of friends = 3 friends
The number of days each year that Alisa need to walk the dog will be:
= Number of days in a year / Number of friends.
= 365 / 3
= 121 2/3 days
= 121 days + (2/3 × 24hours)
= 121 days 16 hours
Note that 24 hours = 1 day