Answer:
Step-by-step explanation:
A positive cubic function graphed in the coordinate plane tends from lower left to upper right while a negative cubic function tends from the upper left to lower right. That graph is D (graph A is the positive cubic. Note the difference between "lower left to upper right" and "upper left to lower right")
The function f(t) = 3 - t shows the cost of an ice cream sundae ($) with a different number of toppings (t). What is the slope of the function?
Answer:
-1
Step-by-step explanation:
are you sure this is the right equation ? it would mean that the more toppings the cheaper the ice cream.
but as it is written, the slope is -1.
the slope of a line is always the factor of the variable in the equation.
it is the ratio of y/x indicating how many units y is changing for a given change of x.
in our example here, if x changes 1 unit to the right (+1), then y changes 1 unit down (-1).
so, -1/+1 = -1
The slope of the function f(t) = 3 - t is -1
What is function?"It defines a relation between input and output values."
What is the slope of the function?"It is the rate of change of the dependent variable of the function with respect to that of the independent variable."
For given question,
We have been given a function f(t) = 3 - t
We need to find the slope of the function.
[tex]m=\frac{d}{dt}f(t)\\\\ m=\frac{d}{dt}( 3 - t)\\\\m=-1[/tex]
Therefore, the slope of the function f(t) = 3 - t is -1
Learn more about the slope of the function here:
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Do not round your answer. Type in the number with the decimal. 15% of 25 is
Answer:
to add on to what the other dude said its 4
Step-by-step explanation:
Given: x - 7 > -2.
Choose the solution set.
A. {x | x R, x > 14}
B. {x | x R, x > -5}
C. {x | x R, x > 5}
D. {x | x R, x > -9}
Given set:- x - 7 > - 2
Solving It:-
x - 7 > - 2
x > -2 + 7 [Here '7' is greater than '-2' So Sign Changes To Positive]
x > 5
So Correct Solution Set Will Be
Option C= {x | x R, x > 5}
Hope This Helps YouHELP ASAP PLZ I NEED IT
Answer:
4. 38 more schools offer basketball than golf.
5. Tennis is offered in the least amount of schools.
Step-by-step explanation:
4. take the number of schools that offer basketball (321) and subtract the number of schools that offer golf (283) to get how many more offer basketball than golf.
5. look at the numbers to the side of the chart and find the lowest number (276). then follow over to the left, and you will find that the least offered sport in schools is tennis.
What is the midpoint of the line segment graphed below?
(-1,2)
(9,5)
Answer:
1,3
Step-by-step explanation:
Answer:
(4, 2.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (9, 5) , then
midpoint = ( [tex]\frac{-1+9}{2}[/tex], [tex]\frac{2+5}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{7}{2}[/tex] ) = (4, 3.5 )
6. Solve the triangle by finding the length of DF and the measures of all the angles. For side lengths, round to the
nearest tenth. For angles, round to the nearest degree. (2 points)
D
5 ft
E
DF =
D
LE=
5.83 ft
ZF =
F
Answer:
∠F = 59°
∠E = 31°
DF = ≅ 3 (2.98)
Step-by-step explanation:
Correct and fastest answer gets brainest! 12 divided 2/5
30
Answer:
12÷2/5=12*5/2=30 is a required answer
Answer:
30
Step-by-step explanation:
SOMEONEEEE HELPPP MEEEE OUTTTTTTT!!!!!
Answer:
4/3
Step-by-step explanation:
Since this is a right triangle,
tan C = opp side / adjacent side
tan C = 36/ 27
tan C = 4/3
once again i’m in a pickle please help
Answer:
19
Step-by-step explanation:
You will need expand so you can plug in the givens
Quotient rule: log(b^7)-[log(a^5c^6)]
Product rule: log(b^7)-[log(a^5)+log(c^6)]
Distribute: log(b^7)-log(a^5)-log(c^6)
Power rule: 7log(b)-5log(a)-6log(c)
Plug in: 7(4)-5(3)-6(-1)
Simplify: 28-15+6
Simplify: 13+6
Simplify: 19
what is (x − 3)(x − 5) = 35
Answer:
x=10 x=-2
Step-by-step explanation:
(x − 3)(x − 5) = 35
FOIL
x^2 -5x-3x+15 = 35
Combine like terms
x^2 -8x+15 = 35
Subtract 35 from each side
x^2 -8x+15-35 = 35-35
x^2 -8x-20 =0
Factor
What 2 numbers multiply to -20 and add to -8
-10*2 = -20
-10 +2 = -8
(x-10)(x+2) =0
Using the zero product property
x-10 =0 x+2 = 0
x=10 x=-2
8u^2- 42u^2
Help plzz
Answer:
- 34u^2
Step-by-step explanation:
8u^2 - 42u^2
= ( 8 - 42 )u^2
= - 34u^2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{The only thing we can do to solve for this equation is to COMBINE}\\\large\textsf{the LIKE TERMS. }[/tex]
[tex]\mathsf{8u^2 - 42u^2}\\\mathsf{= (8u^2- 42u^2)}\\\mathsf{= 8 - 42 \rightarrow \bf -34}\\\textsf{Thus this means }\mathsf{8u^2 - 42u^2}\textsf{ has to equal to }\mathsf{ \bf -34u^2}\\\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf-34u} \mathsf{\bf ^2}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
When AG = 16 ft, find the area of the region that is NOT shaded. Round to the nearest tenth.
Answer:
730.88
Step-by-step explanation:
Area of the entire circle = pi * r^2
r = 16
Area = 3.14 * 16^2
Area = 803.84
1/4 of the circle contains the shaded area. It's area = 1/4 * 803.84
Area of 1/4 circle =
200.96
the area of the triangle
Area = 1/2 AG * G?
AG and G? are equal
Area = 1/2 * 16^2
Area = 128
Area of 1/4 circle - area of the triangle = area of the shaded portion
shaded portion = 200.95 - 128
Shaded Portion = 72.96
So the area of the unshaded part
unshaded = 803.84 - 72.96
Unshaded = 730.88
Tre and Hector want to calculate the maximum possible throw at this field.
They calculate that the farthest point on the field would be the center fielder standing back at the dead center wall at point (322, 322). Suppose the center fielder threw the ball from here to home base.
How far is the throw?
Answer:
[tex]d=455.38~units[/tex]
Step-by-step explanation:
The coordinates of the dead center of the field, [tex]D\equiv (322,322)[/tex]
Home base in a coordinate system is always the origin, [tex]O\equiv(0,0)[/tex]
The center fielder threw the ball form the dead center to the home base, hence the distance of throw:
[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]d=\sqrt{(322-0)^2+(322-0)^2}[/tex]
[tex]d=455.38~units[/tex]
Answer:Hector threw the ball 65 feet while Tre threw the ball 63 feet far
Step-by-step explanation:
The farthest throw would probably be around 450 feet
factorize: x² + 6x + 5-4y - y²
Answer:
below
Step-by-step explanation:
that is the procedure above
The factorized form of x² + 6x + 5 - 4y - y² is:(x + 1)(x + 5) - (4y + y²)
To factorize the expression x² + 6x + 5 - 4y - y², group the terms and factor them separately.
Rearranging the terms
(x² + 6x + 5) - (4y + y²)
Now let's factor each group separately:
1. Factoring x² + 6x + 5:
The quadratic expression x² + 6x + 5 can be factored into two binomial factors. We look for two numbers that multiply to give 5 and add up to 6 .
These numbers are 1 and 5:
(x + 1)(x + 5)
2. Factoring -4y - y²:
The terms -4y - y² have a common factor of -1.
Factoring out -1 gives
-1(4y + y²)
Combining the factorization of both groups
(x + 1)(x + 5) - 1(4y + y²)
Therefore, the factorized form is (x + 1)(x + 5) - (4y + y²).
Learn more about Factorization here:
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5.
MULTIPLE CHOICE: There are 15 pieces of fruit in a bowl and 6 of them are apples.
What percentage of the pieces of fruit in the bowl are apples?
a.
0.06%
b.
0.4%
C.
6%
d.
40%
Answer:
d
Step-by-step explanation:
alr, 15 fruits total, 6 are apples.
6/15 = 2/5
2/5 is also the same as 40% or 0.4, therefore the option is d.
go to gauthmath's sub reddit if needing more help ^^
the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the result is a fourth of the original number. Find the original number.
Given:
The tens digit of a two digit number is 5 greater the units digit.
If you subtract double the reversed number from it, the result is a fourth of the original number.
To find:
The original number.
Solution:
Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:
[tex]n=(x+5)\times 10+x\times 1[/tex]
[tex]n=10x+50+x[/tex]
[tex]n=11x+50[/tex]
Reversed number is:
[tex]x\times 10+(x+5)\times 1=10x+x+5[/tex]
[tex]x\times 10+(x+5)\times 1=11x+5[/tex]
If you subtract double the reversed number from it, the result is a fourth of the original number.
[tex]11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)[/tex]
[tex]11x+50-22x-10=\dfrac{1}{4}(11x+50)[/tex]
[tex]40-11x=\dfrac{1}{4}(11x+50)[/tex]
Multiply both sides by 4.
[tex]160-44x=11x+50[/tex]
[tex]160-50=11x+44x[/tex]
[tex]110=55x[/tex]
Divide both sides by 55.
[tex]\dfrac{110}{55}=x[/tex]
[tex]2=x[/tex]
The unit digit is 2. So, the tens digit is [tex]2+5=7[/tex].
Therefore, the original number is 72.
find the missing length indicated
Answer:
25+144+X=180°
169+X=180°
X= 180-169
Therefore, x= 11°
checking process: (25+144+11= 180°)
Answer:
x = 11 i beileve!
Step-by-step explanation:
Simplify 3x+(4x-3)
Pls :)
Answer:
7x - 3
Step-by-step explanation:
3x+(4x-3)
Remove parenthesis
3x + 4x - 3
Combine like terms
3x + 4x = 7x
7x - 3
Answer:
7x-3
Step-by-step explanation:
Removing the parantheses, we get 3x+4x-3. Adding like terms we get 7x-3.
7x-3.
Can someone help please please
Answer:
c!
Step-by-step explanation:
What is sciences technoligy ?
Answer:
See both definitions below
Step-by-step explanation:
Let us define science
Science is a body of knowledge, it is a systematic application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence.
Let us define Technology
Simply put, technology is the application of scientific knowledge
Answer:
Simply put, technology is the application of scientific knowledge Step-by-step explanation:
prove that √2 + √3 is irrational
Step-by-step explanation:
Let √2 + √3 be a / b.
a and b are co - primes.
a and b have 1 as a common factor.
√2 + √3 = a / b
( √2 + √3 )^2 = ( a / b )^2
(√2)^2 + (√3)^2 + 2.√2.√3 = a^2 / b^2
2 + 3 + 2.√2.√3 = a^2 / b^2
5 + 2.√2.√3 = a^2 / b^2
2.√2.√3 = ( a^2 / b^2 ) - 5
2.√2.√3 = ( a^2 - 5b^2 ) / b^2
√2.√3 = ( a^2 - 5b^2 ) / 2b^2
a and b are not co - primes, as they more than 1 as a common factor.
So,
√2 + √3 is irrational.
Hence, proved.
Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?
Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10
Will Mark brainlest help please please pease
Answer:
6
Step-by-step explanation:
I think I just answered that question.
"image" 7 means the functional result is 7, and we need to find the value of x to make this happen.
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
4(1)+12(x+3)-6(x-5)=4(12)+4(x)
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4(1) + 12(x + 3) - 6(x - 5) = 4(12) + 4(x)
Step 2: Solve for x
Simplify: 4 + 12(x + 3) - 6(x - 5) = 48 + 4x[Distributive Property] Distribute parenthesis: 4 + 12x + 36 - 6x + 30 = 48 + 4xCombine like terms: 6x + 70 = 48 + 4x[Subtraction Property of Equality] Subtract 4x on both sides: 2x + 70 = 48[Subtraction Property of Equality] Subtract 70 on both sides: 2x = -22[Division Property of Equality] Divide 2 on both sides: x = -11need some help with this
Answer:
y=4x-7
Step-by-step explanation:
here,
the equation of straight line in slope intercept form is;
y=mx+c
( m= slope
c= y-intercept )
soo..
the question has asked for slope 4 i.e. m=4
and y- intercept -7 i.e. c= -7
now.
the required equation is
y= 4x-7
mark me brainliest and follow me ... please
pls answer quick it's gr 9 academic math lol
Answer:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Step-by-step explanation:
when you add powered numbers together, it does not multiply it, as your example:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Hi there!
Error 1
[tex](3^3+3^2)^2\\= (3^5)^2[/tex]
The student added the exponents of 3³ and 3² and wrote 3⁵. This rule can only be applied to exponents with the same base that are being multiplied. 3³ and 3² were being added, not multiplied, so this rule can't be applied.
Error 2
[tex](3^5)^2\\= 3^7[/tex]
When a power has a power, we multiply them, not add. Here is the correct way of doing it:
[tex](3^5)^2\\= 3^5^*^2\\= 3^1^0[/tex]
Error 3
[tex]3^7\\= 21[/tex]
The student multiplied 3 and 7 to get 21, but 3⁷ actually means 3 multiplied by itself 7 times. The correct answer for this part would be 2187.
I hope this helps!
Please help. I need it
Answer:
angle c = 32.204°
2/5(1/3x-15/8)-1/3(1/2-2/3x)
Answer:
[tex]\frac{16}{45}x-\frac{11}{12}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]
We have to find the equivalent expression.
[tex]\frac{2}{5}(\frac{1}{3}x-\frac{15}{8})-\frac{1}{3}(\frac{1}{2}-\frac{2}{3}x)[/tex]
[tex]\frac{2}{5}\times \frac{1}{3}x-\frac{2}{5}\times \frac{15}{8}-\frac{1}{3}\times \frac{1}{2}-\frac{1}{3}\times (-\frac{2}{3}x)[/tex]
Using the the property
[tex]a\cdot (c-b)=a\cdot c-a\cdot b[/tex]
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]
[tex]=\frac{2}{15}x-\frac{3}{4}-\frac{1}{6}+\frac{2}{9}x[/tex]
[tex]=\frac{6x+10x}{45}+\frac{-9-2}{12}[/tex]
[tex]=\frac{16}{45}x-\frac{11}{12}[/tex]
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)=\frac{16}{45}x-\frac{11}{12}[/tex]
Easton is deciding between two landscaping companies for his place of business. Company A charges $25 per hour and a $150 equipment fee. Company B charges $35 per hour and a $100 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the number hours, t,t, that would make the cost of each company the same.
Answer:
5 hours
Step-by-step explanation:
Company A:
Charge for an hour =$ 25
Charge for 't' hours = 25 *t = 25t
Total cost = Equipment fee + charge for t hours
AA = 150 + 25t
Company B:
Charge for an hour =$ 35
Charge for 't' hours = 35 *t = 35t
Total cost = Equipment fee + charge for t hours
BB = 100 + 35t
BB = AA
100 + 35t = 150 + 25t
Subtract 25t from both sides
100 + 35t - 25t = 150
100 + 10t = 150
Subtract 100 from both sides
10t = 150 - 100
10t = 50
Divide both sides by 10
t = 50/10
t = 5
please help me with this
Answer:
200
Step-by-step explanation: