Answer:-4(2x - 1) > 5 - 3x
solution:
-4(2x) -4(-1) > 5 - 3x Distribute -4 to get -8x + 4 > 5 - 3x
-8x + 4 > 5 - 3x
+3x + 3x
-5x + 4 > 5
- 4 -4
-5x > 1
÷ -5 ÷ -5
x < - 1/5
Answer:
A
Step-by-step explanation:
-4(2x - 1) > 5 - 3x
The first step would be to expand the brackets.
-4( 2x ) - 4( -1 ) > 5 - 3x
Distribute the -4 to 2x and -1 to get:
-8x + 4 > 5 - 3x
✨Could y'all help me pls cuz im dumb soooo imma give BRAINLIEST and don't jus pick a random answer (-_-")✨
The vertices of a triangle are located at the points A(-1, 0), B(-2, 2), and C(3, 3). A'B'C' is the result of rotating ABC 180° about the origin. Which statement can be used to find the coordinates of the vertices of A'B'C'??
A. multiply each x-value by -1 and keep each y-value the same
B .multiply each x-value by -1 and multiply each y-value by -1
C. multiply each x-value by -1, keep each y-value the same and switch their places
D. keep each x-value the same, multiply each y-value by -1 and switch their places
Answer:
multiply both the x value and y value by -1
Plz answer fast with steps
The product of two consecutive odd numbers is 10 more than the square of the smaller number.Find the smaller number.
If you answer i will give you 50 points
Answer: 5 and 7
Step-by-step explanation:
(x)*(x+2)-10=(x)^2
x^(2)+2x-10=x^2
x^(2)+2x=x^2+10
2x=10
x=5
x+2=5+2=7
Which table represents an exponential function?
Answer:
C
Step-by-step explanation:
The expression in C is actually defined as y = 5^(x) which is an exponential function.
Answer:
Table C
Step-by-step explanation:
Table C expression is defined as y = 5^(x) which makes it a exponential function.
10 Which of the following represents the
domain of the function F(x) = 2x + 15?
3
Answer:
Domain is x ∈ R
Step-by-step explanation:
There weren't any options given, but for f(x) = 2x + 15, the domain is x ∈ R.
This is because the graph is a linear function, which exists for all values of x. You can express this in lots of different ways, but R (all reals) is the conventional way to do it.
In case you don't know what a domain is: it is a set of numbers that the x-values of an equation can fit into.
Example:
f(x) = [tex]x^{2}[/tex] -> x ∈ R
This is because, if you draw a quadratic graph, you can see that the values of x are neverending.
Hope this helped : )
Solve for c.
3 − 7c − 20c = 7(–7c − 19) + 14c
c =
Answer:
[tex] \boxed{c = -17} [/tex]
Step-by-step explanation:
[tex] = > 3 - 7c - 20c = 7( - 7c - 19) + 14c \\ \\ = > 3 - 27c = ( - 7c \times 7) - (7 \times 19) + 14c \\ \\ = > 3 - 27c = - 49c - 133 + 14c \\ \\ = > 3 - 27c = - 35c - 133 \\ \\ = > 3 - 27c + 35c = - 133 \\ \\ = > 3 + 8c = - 133 \\ \\ = > 8c = - 133 - 3 \\ \\ = > 8c = - 136 \\ \\ = > c = - \frac{136}{8} \\ \\ = > c = - 17[/tex]
Answer:
c = -17
Step-by-step explanation:
→Distribute the 7 to (-7c - 19):
3 - 7c - 20c = -49c - 133 + 14c
→Add like terms (-7c and -20c, -49c and 14c):
3 - 27c = -35c - 133
→Add 35c to both sides:
3 + 8c = -133
→Subtract 3 from both sides:
8c = -136
→Divide both sides by 8:
c = -17
Four students graphed one linear function each.
Rhett
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 1).
Cameron
On a coordinate plane, a line goes through points (0, 4) and (1, 0).
Ellis
On a coordinate plane, a line goes through points (0, negative 4) and (2, 0).
Braden
On a coordinate plane, a line goes through points (0, 1) and (4, 0).
Which student graphed a linear function with a y-intercept at –4?
Rhett
Cameron
Ellis
Braden
Answer:
ellis
Step-by-step explanation:
The student who graphed a linear function with a y-intercept at -4 is Ellis.
Option C is the correct answer.
We have,
The student who graphed a linear function with a y-intercept at -4 is Ellis.
Looking at the given information, Ellis's line goes through points (0, -4) and (2, 0).
The y-coordinate of the y-intercept is -4, which matches the requirement.
Therefore, Ellis is the student who graphed a linear function with a y-intercept at -4.
Thus,
The student who graphed a linear function with a y-intercept at -4 is Ellis.
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A similar right triangle would be created by a rise of 8 and a run of
Answer:
It would be a run of 3
Step-by-step explanation:
Answer:
The slope is 4/3, so if the rise is increased by 8, then the run must increase by 6.
Step-by-step explanation:
How many grams of water would require 4000 joules of heat to raise its temperature from
65°C to 100°C? The specific heat of water is 4.181?
Answer: 27.33 g water
Step-by-step explanation:
For this problem, we will need to use the equation for heat: q=mCΔT. Since we are given heat, change in temperature, and specific heat, all we have to do is plug them in to find grams.
4000J=m(4.181J/g°C)(100-65°C) [find change in temperature]
4000J=m(4.181J/g°C)(35°C) [divide both sides by specific heat and change in temperature]
m=27.33 g
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
ishaan is 21
chris is 7
Step-by-step explanation:
Subs 3C from (1) for I in(2):
3C = C + 14 —> C = 7, I = 21
Find the volume of a right circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
[tex]1156.8cm^3[/tex]
Step-by-step explanation:
The volume of a cone is given as:
[tex]V =\frac{1}{3} \pi r^2h[/tex]
where r = radius
h = height of cone
The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).
Its volume is:
[tex]V = \frac{1}{3} * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3[/tex]
Answer:
1157.3cm^3
Step-by-step explanation:
voume of a cone =V=πr^2h^3
Diameter = 15.8cm
Height = 17.7cm
Radius = diameter/2
= 15.8/2 = 7.9cm
Pi = 22/7
V = 22/7 ×7.9×7.9×17.7/3
= 22/7×62.41×5.9
V = 1157.25cm^3
Hence the volume of the cone is 1157.3cm^3
to the nearest 10th
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If a tuna can has a diameter of 6.5 cm , and a height of 3 cm , determine the area of the label. (I'm only asking for the label, not the whole thing :))
Answer:
61.27cm^2Step-by-step explanation:
The tuna can has a shape of a cylinder, and the area of the tuna lablel is the lateral surface area of the can
[tex]A=2\pi rh[/tex]
Data
diameter d= 6.5cm
radius r = [tex]\frac{diameter}{2}[/tex]= [tex]\frac{6.5}{2} = 3.25cm[/tex]
height h= 3cm
leteral surface area
[tex]A=2*3.142*3.25*3\\= 61.269\\=61.27cm^2[/tex]
When solving p2+5=8p-7, kate wrote p2+12=8p. The property she used is
Answer:
She used the addition property of equality:
p2 + 5 = 8p - 7
+7 +7
p2 + 12 = 8p
Help is needed! Is f(x) a function?
Answer:
False
Step-by-step explanation:
This is not a function
The same x value goes to 2 different y values
5 goes to both 2 and 1
This is not a 1 to 1 correspondence
Answer:
False
Step-by-step explanation:
A function has only one input for every output. 5 has two
for what value of x would the quotient (2x^2+3x-4÷(×+4) not make sense
Answer:
-4
Step-by-step explanation:
No quotient is defined when the denominator is zero. Here, the denominator will be zero for x = -4.
The value -4 does not make sense for x in this quotient.
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 2). Study the graph of the line. Use the drop-down menu to find its equation. The equation of the line is .
Answer:
[tex]y=x+2[/tex]
Step-by-step explanation:
Finding Slope:We are given the points (-2,0) and (0,2).
Slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{2-0}{0-(-2)}=\frac{2}{2} = 1[/tex]
The slope is one.
Finding the Y-intercept:So far we have [tex]y=x+b[/tex].
We can use a point to find 'b', the y-intercept.
I will use (0,2):
[tex]2=0+b\\2-0=0-0+b\leftarrow \text {Subtraction Property of Equality} \\\boxed {2=b}[/tex]
The y-intercept is 2.
Final Equation:The equation of the line is [tex]y=x+2[/tex].
In slope equations, the 'one' is commonly hidden.
Answer:
y = x + 2
Step-by-step explanation:
ك ل و، مثلث قائم الزاوية في ل ك ل=٥ ، ول=٧، س منتصف الوتر ك و جد طول س ل
Answer:
س ل = 4.3
Step-by-step explanation:
هتسرم وتعين بالمسطرة ^_^
what is the remainder when 22,714 is divided by 886?
The remainder of the equation A = 22,714 / 886 is given by R = 564
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the remainder be represented as R
Let the equation be represented as A
Now , the value of A is
Let the first number be p = 22,714
Let the second number be q = 886
Now , A = p/q
On simplifying , we get
A = 22,714 / 886
886 x 25 = 22150
So , the difference between 22714 - 22150 = 564
Therefore , the value of R is 564
Hence , the remainder is 564
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A sector of a circle with radius 20 cm has an area of 396 cm^2. Calculate, correct to 1 decimal place, (a) the sectoral angle (b) perimeter of the sector (c) volume of the cone formed when the sector is bent such that its straight edges coincide
Answer:
I'm not sure
Step-by-step explanation:
I thought I knew it but I forgot sorry
A rectangle has length 9 cm and with 7 cm. The rectangle is to be enlarged by scale factor of 4. Calculate the length of the enlargement.
13cm
28cm
36cm
64cm
Answer:
i think 28cm is the answer.
Gasoline price is $2.80 per gallon in August. The price increased by 15% in September, dropped 5% in October and dropped another 10% in November. What was the gasoline price in November?? Show work
Answer:
Gasoline price is $2.80 per gallon in August.
The price increased by 15% in September,
dropped 5% in October
and dropped another 10% in November.
The gasoline price in November would be:
2.8 x (1 + 15/100) x (1 - 5/100) x ( 1 - 10/100) = 2.7531
Hope this helps!
:)
Answer:
$2.7531
Step-by-step explanation:
Please refer to the picture above.
When solving such procedural questions, you should do it step by step. Diagrams like tables can help you visualise the process to avoid making mistakes.
what is 7.17+25.8≈ equal to?
Answer:
7.17 + 25.8 = 32.97
Answer:
7.17+25.8= 32.97
the answer is above
Find the length of side b to two decimal places
Answer:
b = 14.34
Step-by-step explanation:
sin(Θ) = (Opposite/Hypotenuse)
sin(35)= (b/25)
25 x sin(35) = 14.33941091
At Baskin Robbins, you can choose between the flavors (vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip), the number of scoops (1, 2 or 3), and if you want it in a cone or a cup. What is the probability of someone choosing cookies 'n cream ice cream with 2 scoops?
Answer:
[tex]\frac{1}{18}[/tex]
Step-by-step explanation:
Given:
Flavors of ice cream are vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip.
Number of scoops can be 1, 2 or 3.
To find: probability of someone choosing cookies 'n cream ice cream with 2 scoops
Solution:
Probability refers to chances of occurrence of some event. Two events A and B are said to be independent if probability of one event does not depend on the probability of the other event.
For such events,
P(A and B)= P(A)×P(B)
Probability = number of favourable outcomes/Total number of outcomes
In the given question, cookies 'n cream ice cream with 2 scoops can be in a cone or a cup.
Therefore,
probability of someone choosing cookies 'n cream ice cream with 2 scoops =( probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cup )+ (probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cone )
= [tex]\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )+\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )[/tex]
=[tex]=\frac{1}{36}+\frac{1}{36}\\=\frac{2}{36}\\=\frac{1}{18}[/tex]
What is 4.75 x 10^11
Answer:
=4.75x^100000000000
Find the sticker price for a vehicle with the following features and costs: suggested retail price of $15,250, destination charge of $359, equipped with AC, tinted window, and a custom sound system for $800, $210, and $490, respectively.
$16,260
$17,109
$16,050
$16,850
Answer: The correct answer would be $17,109.
Step-by-step explanation:
The reasoning behind this answer is quite simple and easy to approach.
The suggested retail price is the base price for the vehicle and any other prices presented in the problem would be in addition to the base price.
So, with this information, we know that the base price is $15,250 and that the additional options would be $359 + $800 + $210 + $490.
Therefore, after completing the math for the additional options and adding them to the base price, you will receive the final cost of $17,109.
Erin built a wooden box to hold hay on her farm. Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?
Here is the complete question.
Erin built a wooden box to hold hay on her farm.The box is 3 \text { m}3 m3, start text, space, m, end text long, 1 \text { m}1 m1, start text, space, m, end text wide, and 1 \text { m}1 m1, start text, space, m, end text high.Hay costs $14dollar sign, 14 per cubic meter. How much will it cost to completely fill the box with hay?
Answer:
it cost $42 to completely fill the box with hay
Step-by-step explanation:
Given that :
The length of the wooden box = 3m ; the width of the box = 1m and the height of the box = 1 m; we can easily determine the volume of the rectangular wooden box;
We all know it would assume the shape of a rectangular prism and it's volume = L × W × H
Thus; the volume of the box = . 3 m × 1 m × 1 m = 3 m³
However, the question proceeds by stating it that the wooden box cost $14 per cubic meter;
So , if 1 cubic meter = $14;
three cubic meters = $14 × 3 = $42
Hence; it cost $42 to completely fill the box with hay
Prove that: (1+cot^2x)tan^2x = sec^2x
Answer:
Step-by-step explanation:
[tex]1+cot^2x = csc^2x= \frac{1}{sin^2x}[/tex]
it becomes
[tex]\frac{1}{sin^2x}*\frac{sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
Done
Solve for x.
[tex] \frac{x}{2} = - 7[/tex]
Answer:
x = -14
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] = -7
multiply 2 on both sides
the 2's cancel out on the fraction side, leaving x = -7(2)
multiply -7 and 2 to get -14
x = -14
Answer:
-14
Step-by-step explanation:
We must find out what divided by 2 equals -7
So we work backwards
2(-7)
2(-7)=-14
When multiplying negative and positive you get negative
Plug in -14 in x
-14/2=-7
If you can't solve it put it in calculator
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Evaluate m^0-n^2 form=2 and n=-1
the terms in the sequence increase by the same amount each time ? ? 17 ? ? 29 a)work out the missing terms b)work out in terms of n the nth term of the sequence
Answer:
The missing terms are 9,13,21 and 25
The nth term is 4n + 5
Step-by-step explanation:
From the arrangement, we can see that 17 is the third term while 29 is the 6th term
Now is this sequence arithmetic or geometric?
Since it increases by the same amount each time, then it is an arithmetic sequence.
Mathematically the third term in an arithmetic sequence with first term a and common difference d is ;
a + 2d = 17 •••••(i)
While for the sixth term, we have
a + 5d = 29 ••••••(ii)
The equations are obtainable for the nth term of an arithmetic sequence which can be written as;
Tn = a + (n-1)d
where a is the first term, n is the term number and d is the common difference
Now solving both equations simultaneously;
We can subtract equation i from ii
Thus;
5d-2d = 29-17
3d= 12
d = 12/3 = 4
we can substitute the value of d in any of the equations to get a
let’s use 1
That would be;
a + 2d= 17
a + 2(4) = 17
a + 8 = 17
a = 17-8
a = 9
Now the first term is 9
Second would be 9 + 4 = 13
Fourth would be 3rd + d = 17 + 4 = 21
Fifth would be 4th + d = 21 + 4 = 25
So the sequence now correctly arranged would be;
9,13,17,21,25,29
where 9,13,21 and 25 are the missing terms
b. Mathematically the nth term of the sequence is
a + (n-1)d
let’s substitute the values of a and d , we have
9 +(n-1)4
9 + 4n-4
4n + 5
