Answer:
b. f(x) = -2x +2
Step-by-step explanation:
The graph has a negative slope (m < 0) and a positive y-intercept (b > 0). The only equation with those characteristics is ...
f(x) = -2x +2
_____
Additional comment
The line on the graph appears to fall by 2 grid squares for each 3 to the right. That means it has a slope of ...
m = rise/run = -2/3
None of the offered equations have that slope. We have to assume the graph is "not to scale". Hence we can only comment on the signs of slope and intercept, and not their values.
You may want to discuss this question with your teacher.
Given the function f(x) = x2 - x + 7, find each of the following.
f(6)=
f(- 9)=
f(0)
Answer:
37, 79, 7
Step-by-step explanation:
f(6) = 6² -6 +7
36-6+7 is 37
f(-9) = -9² -9+7
81-9+7 is 79
f(0) = 0² -0+7
0-0+7 is 7
Today only, a desk is being sold at a 29% discount. The sale price is $497.
What was the price yesterday?
Answer: yesterdays price was $700
Step-by-step explanation:
$497 = 71% of the RP (100 - 29)
RP*0.71 = 497
RP = 497/0.71
RP = $700
Solve the system of linear equations by substitution x=5y+2 and x-4y=5
Answer:
(17,3)
Step-by-step explanation:
Equation 1.
x=5y+2
Equation 2.
x-4y=5
To solve with substitution, it looks like the x-variable in the first equation is already isolated. So, plug the first equation into the x-variable in the second equation.
x-4y=5
(5y+2)-4y=5
y+2=5
y=3
Now that we found y, plug y into one of the equations to solve for x.
x=5y+2
x=5(3)+2
x=15+2
x=17
(17,3)
Mathematics 13 don’t understand
Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Your expression can be simplified as follows:
[tex]\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}[/tex]
_____
Additional comment
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:
[tex](x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6[/tex]
Consider division:
[tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}[/tex]
This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).
Hurry answer plsss I'll give brainlest
Answer:
2.32x10^-11
here ya go luv <3
Please help
I need to turn it in now
Answer:
Step-by-step explanation:
x=rcosθ=4 cos (-40)=4 cos 40≈3.064
y=r sin θ=4 sin (-40)=-4 sin 40≈-2.571
the vector is (3.064,-2.571)
90% of _______ is 18.
Answer:
20
Step-by-step explanation:
Woodbury Middle School has 270 girls and Valley Middle School has 206 girls. Which school has
a greater percentage of girls? Determine the percentage for each school.
Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.
Given that Woodbury Middle School has 270 girls and Valley Middle School has 206 girls, to determine which school has a greater percentage of girls, the following calculation must be performed:
270 + 206 = 476 476 = 100 270 = X 270 x 100/476 = X 56.72 = X
Therefore, Woodbury Middle School has a greater percentage of girls, as it has 56.72% against 43.28% of Valley Middle School.
Learn more about maths in https://brainly.com/question/25901815
f(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 Find f(x)/g(x)
A).x&5/2+6x&3/2-1
B).(x^5+6x^3+1)^1/2
C).x^5/2+6x^3/2+1
D).x^3/2+6x+x^1/4
E).x^3/2-6x+x^1/4
Answer:
C) x^5/2 +6x^3/2 +1
Step-by-step explanation:
The relevant rule of exponents is ...
a^b/a^c = a^(b-c)
__
[tex]\dfrac{x^3+6x^2+x^{1/2}}{x^{1/2}}=x^{3-1/2}+6x^{2-1/2}+x^{1/2-1/2}=\boxed{x^{5/2}+6x^{3/2}+1}[/tex]
Which equation is NOT a linear? function
Answer:
A
Step-by-step explanation:
Because the x-intercept is zero and if you want to show it on a graph it is a quadratic function.
Pearl is 54 5/6 inches tall. Lucas is 1 1/3 inches shorter than Pearl and Jane is 1 1/4
inches shorter than Lucas. How tall is Jane?
Answer:
52 1/4
Step-by-step explanation:
sign of \dfrac{23}{45} + \left(-\dfrac{23}{45}\right)
45
23
+(−
45
23
)start fraction, 23, divided by, 45, end fraction, plus, left parenthesis, minus, start fraction, 23, divided by, 45, end fraction, right parenthesis
An expression can either be positive, negative or none.
The sign of the expression is neither positive nor negative.
The fraction expression is given as:
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right)[/tex]
Open the bracket
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23}{45}-\dfrac{23}{45}\right[/tex]
Take LCM
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{23 - 23}{45}[/tex]
Simplify the numerator
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = \dfrac{0}{45}[/tex]
Divide 0 by 45
[tex]\dfrac{23}{45} + \left(-\dfrac{23}{45}\right) = 0[/tex]
0 is neither positive nor negative.
Hence, the sign of the expression is neither positive nor negative.
Read more about signs of expressions at:
https://brainly.com/question/11388301
) 3) What is the difference between explicit and recursive forms of sequences?
Answer:
a recursive formula gives the value of a specific term based on the previous term
Step-by-step explanation:
Help!! And stop with the links!!!!!
Answer:
3, 5, 2, 1, 4
Step-by-step explanation:
In step 2, parentheses are eliminated: distributive property.
In step 3, x is subtracted: subtraction property.
In step 4, 12 is added: addition property.
In step 5, the equation is divided by 17: division property.
__
The properties are listed in the order of statements ...
3, 5, 2, 1, 4
Caleb decreases a number by 6 and then multiplies it by 2. He gets the same answer as
when he subtracts 8 from the original number. What is the number?
please answer!!
Answer: 4
Step-by-step explanation: If Caleb starts with 4 and subtracts 6, he'll get -2. -2 times 2, equals -4. If he starts with 4 and subtracts 8, he'll again end up with -4, meaning the original number is 4!
4-6= (-2)
-2*2= (-4)
4-8= (-4)
Can i get some help :
Answer: so, option 1 and 3 are true
1. True: The left side 6 is equal to the right side 6 , which means that the given statement is always true.
2. False: The left side 39 does not equal to the right side 9 , which means that the given statement is false.
3. True: The left side 16 is equal to the right side 16 , which means that the given statement is always true.
4. False: The left side 21 does not equal to the right side 19 , which means that the given statement is false.
Step-by-step explanation:
Which table of values is defined by the function y = 5x + 4?
Jane’s starting annual salary is $45,520. At the beginning of each new year, she receives a $1,580 raise. What will her salary be after 11 years?
Answer:
$62,900
Step-by-step explanation:
um. ill give brainliest help please !!!
No, Poppy did not answer the problem correctly.
The mistake I see is that she did not include the exponent on the first 3. She also forgot to keep the -8.
The correct answer would be -7. (see attachment)
Have a nice day :)
can anyone give definition of liner expression
need it ASAP
Answer:
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line
Step-by-step explanation:
u single?
i need help with this question
Divide x by y and compare:
5/1 = 5
10/2 = 5
20/4 = 5
All 3 are the same number so yes the rate of change is constant.
Answer:
Yes
Step-by-step explanation:
We can see that the correlation between x and y is
x = y/5
or
y = 5x
Please help me with my Geometry.
Answer:
4 feet
Step-by-step explanation:
I dont know if its right but i hope it is!
find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?
=> 6- 4x +6x -8x +6 = 0
=> 12 -6x = 0
=> 6x = 12
=> x = 2
Please please help
The measure of the second angle of a triangle is twice the measure of the first. The measure of the third angle is six times the measure of the first.
What measure is the third angle?
Step-by-step explanation:
So,Let Angle 1 be x, Angle 2 be 2x, Angle 3 be 6x...
Now,
Angle 1 + Angle 2 + Angle 3 = 180°
( Sum of all angles of the triangle)x + 2x +6x = 180°
x + 8x = 180°
9x = 180°
x = 180°/9
x = 20°
Therefore,
Angle 1 = x = 20°Angle 2 = 2x = 2 × x = 2×20° = 40°Angle 3 = 6x = 6 × x = 6×20° = 120°So, 20°,40°,120° are the 3 angles of the triangle..
hope it helps!!!
(~‾▿‾)~(~‾▿‾)~(~‾▿‾)~
What is the solution to the system of equations?
Answer:
a set of values for the variable that satisfy all the equations simultaneously.
Step-by-step explanation:
search it
Circumference=22 feet: what is the diameter?
11 ft
since diameter is HALF of circumference
22 divided by 2 = 11
What if it’s not correct or not ?
Answer:
what is correct or not
find the product of 2317 and 9
Answer:
20,853
Step-by-step explanation:
me right always right
Answer:
20,853
Step-by-step explanation:
To find the product of something you must multiply. 2317x9=20853, which can be found using a calculator
A tree cast a shadow 21 meters long
The angle of elevation for the sun is 51 degrees
What is the height of the tree?
Step-by-step explanation:
I do not understand .____.
Need help with this question brainliest for correct answer
Answer:
[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]
Step-by-step explanation:
Let
[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]
then
[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]
==========================================
We have:
[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]
Let
[tex]y=m_2x+b_2[/tex]
Therefore
[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]
Substitute
[tex](0,\ -1)\to x=0;\ y=-1[/tex]
[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]