Answer:
[tex]=2(2x-5)(x+1)[/tex]
Step-by-step explanation:
So we have the trinomial:
[tex]4x^2-6x-10[/tex]
First, factor out a 2:
[tex]=2(2x^2-3x-5)[/tex]
Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:
[tex]=2(2x^2-3x-5)[/tex]
Replace -3x with 2x and -5x:
[tex]=2(2x^2+2x-5x-5)[/tex]
Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:
[tex]=2(2x(x+1)-5(x+1))[/tex]
Grouping:
[tex]=2(2x-5)(x+1)[/tex]
And we're done!
At noon, the temperature in Ebonsville, Texas was 29℉. By midnight, the temperature had fallen to −10℉. What was the change in temperature over the 12-hour period?
Answer:
i believe it's 39
Step-by-step explanation:
29 -39 = -10
<1 and <2 are —-
Adjacent angles
Supplementary angles
Right angles
Vertical angles
solve the inequality 9(x/3+1) > 6
Step-by-step explanation:
On solving the inequality, we get the solution inequality as -
x > -1.
What is a Inequality? What is equation modelling? What is a mathematical equation and expression?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the inequality -
9(x/3 + 1) > 6
The given inequality is -
9(x/3 + 1) > 6
(x/3 + 1) > (6/9)
(x/3 + 1) > 2/3
x/3 + 1 - 1 > 2/3 - 1
x/3 > (2 - 3)/3
x/3 > -1/3
x > -1
Therefore, on solving the inequality, we get the solution inequality as -
x > -1.
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solve the given triangles by finding the missing angle and other side lengths.
Answer:
32 degrees is the missing angle
Step-by-step explanation:
I subtracted 40 and 112 from 180.
Answer:
40+112+x=180
x=180-152
=28 degree.
Divide $70 in the ratio 1:2:4
Answer:
Here Ratio=1:2:4
total money =$70
Step-by-step explanation:
let the ratio number be 1x,2x and4x
Now,
1x+2x+4x =$70
or, 7x. =$70
or, x. =$70÷7=$10
again,
1x=1×$10=$10,
2x=2×$10=$20 and
4x=4×$10=$40
-6mn + 5mn - 3x2 - 4x2
Help
Answer:
Step-by-step explanation:
3x^2 - 4x^2 - 6mn + 5mn
-x^2 - mn
what is the average of the following numbers 66.9,5.6,70.1
Answer:
47.53
Step-by-step explanation:
First you add all of the numbers together.
66.9+5.6+70.1=142.6
Then you divide the sum of numbers by how many number there are.
142.6/3=47.53
How do you do letter d? I keep getting the wrong answer
Answer:
18
Step-by-step explanation:
The integral is the area between f(x) and the x-axis. Remember that area below the x-axis is negative.
The area between x=0 and x=6 is a trapezoid.
The area between x=6 and x=9 is a rectangle.
The area between x=9 and x=15 is a triangle.
The area between x=15 and x=21 is a triangle.
The area between x=21 and x=27 is a trapezoid.
A = ½ (3+9) (6) + (3)(9) + ½ (6)(9) + ½ (6)(-9) + ½ (-9+-6) (6)
A = 36 + 27 + 27 − 27 − 45
A = 18
How do the surface areas of similar prisms compare when dimensions are doubled?
O A The surface area of the larger prism is 2 times the surface area of the smaller prism.
OB. The surface area of the larger prism is 4 times the surface area of the smaller prism.
OC. The surface area of the larger prism is 8 times the surface area of the smaller prism.
Answer:
The surface area of the larger prism is 4 times the surface area of the smaller one.
(which agrees with answer B in your list)
Step-by-step explanation:
Notice that the lateral surface area of prisms always consists of parallelograms, whose areas are given by the product base times height. = B x H
Therefore if the dimensions of the prism double, then the base and height of the parallelograms will double as well, making such individual ares of the lateral faces go from:
B x H to --> 2 B x 2 H = 4 (B x H)
that is 4 times the original lateral face's area.
with the faces for the top and bottom bases of the prism, something similar happens, so we conclude that the surface area of the larger prism is 4 times the surface area of the smaller one.
Answer:
c
Step-by-step explanation:
edge 2021
Which equation correctly solves for x in △LMN?
A
cos61°=13x
B
cos61°=x13
C
sin61°=x13
D
sin61°=13x
Answer:
the answer is B
Step-by-step explanation:
you have to divid 13 from 61 to get -8 and u have to times the 2 numbers and do - 8 x 2 = 16 and after that u take the 3 and it would have to turn into 50 and it would be cos bc you combining the numbers to make one whole number and since it is negative you have to put that little circle thing i forgot the name I hope that help can u please mark my branily thing
I think I know it but just needing help if I get it wrong. Help me please !!
Answer:
8n=55
Step-by-step explanation:
The product(multiplication) of 8 AND a number(meaning the multiplication of 8 and a number which is said to be n) is(equal to) 55.
I hope I explained it well enough. lol
Answer:
B - the second answer .... 8n =55
Step-by-step explanation:
If the distance marked on centimeter scale is from 2.5 to 4.5,
then the line segment is how many cm long?
Answer:
2.0cm longStep-by-step explanation:
If the distance marked on a centimeter scale is from 2.5 to 4.5, then the final destination is 4.5cm and the initial point = 2.5.
Distance between the two points will give us the length of the line segment.
Distance between the two points = final point - initial point
Distance between the two points = 4.5 - 2.5
Distance between the two points = 2.0 cm
Hence the line segment is 2.0cm long
A Fahrenheit thermometer shows that the temperature is 15 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit.
Answer:
The integer that represents 15 degrees below 0 is -15°F.
Step-by-step explanation:
This is because the phrase "15 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -15.
The thermometer shows - 15°F the temperature is 15 degrees below zero.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The Fahrenheit scale is a temperature scale based on one proposed in 1724 by the physicist Daniel Gabriel Fahrenheit.
Given, A Fahrenheit thermometer shows that the temperature is 15 degrees below zero.
So, If we assume the thermometer as a number line it is 15 units left to the origin.
∴ (0 - 15)°F.
= - 15°F.
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Write the following words as an algebraic expression. The sum of the quotient of a number x and 5 and the product of 6 and a number y
Answer:
[tex]\frac{x}{5} + 6y[/tex]
Step-by-step explanation:
graph the unequal x ≤ - 5
Answer:
Step-by-step explanation:
The peak of Mount Kilimanjaro, the highest point
Answer:
Kilimanjaro: Facts About Africa's Highest Peak Kilimanjaro is the highest mountain in Africa at 19,341 feet (5,895 meters), but it isn't a mountain in a traditional sense. ... Uhuru Peak is the highest summit on Kibo's crater rim. Uhuru, Swahili for "Freedom," was named in 1961 when Tanganyika gained its independence
Step-by-step explanation:
x=
[tex] {3}^{y} [/tex]
[tex]y = {3}^{5} [/tex]
express in terms of X and or y
how does "money breeds money" apply to simple interest
Answer:
The saying money breeds money means that with money, you have the possibility to create more money. Simple interest is the idea that you have something, and you obtain a percentage of that every designated time period. That being said, simple interest = money breeds money
Question 1 (1 point)
What is the slope of the line that passes through the points
(8,-15) and (-12,25)?
A No answer provided
a 2
6.-2
c15
D-1/2
Answer:
B) -2
Step-by-step explanation:
[tex]\frac{25-(-15)}{-12-8} =\frac{40}{-20} =-2[/tex]
1200-5(3x+30)=600 show the steps to solve this problem
Answer:
x=+30
Step-by-step explanation:
1200-5(3x+30)=600
We move all terms to the left:
1200-5(3x+30)-(600)=0
We add all the numbers together, and all the variables
-5(3x+30)+600=0
We multiply parentheses
-15x-150+600=0
We add all the numbers together, and all the variables
-15x+450=0
We move all terms containing x to the left, all other terms to the right
-15x=-450
x=-450/-15
x=+30
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 30}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{1200 - 5(3x + 30) = 600}[/tex]
Distribute 5 through the parentheses
[tex] \dashrightarrow{ \sf{1200 - 15x - 150 = 600}}[/tex]
Subtract the numbers: 150 from 1200
[tex] \dashrightarrow{ \sf{ - 15x + 1050 = 600}}[/tex]
Move 1050 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{ - 15x = 600 - 1050}}[/tex]
Subtract 1050 from 600
[tex] \dashrightarrow{ \sf{ - 15x = 450}}[/tex]
Divide both sides of the equation by -15
[tex] \dashrightarrow{ \sf{ \frac{ - 15x}{ - 15} = \frac{ - 450}{ - 15} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 30}}[/tex]
Hope I helped!
Best regards! :D
b) A white shirt costs $. 2.50, and a blue shirt costs $. 1.50
Calculate the percentage difference.
Cost of white shirt = 2.50 $
Cost of blue shirt = 1.50 $
We have asked to find percentage difference[tex].[/tex]
_________________________________
[tex]:\implies\sf\:\dfrac{cost_{blue}-cost_{white}}{cost_{blue}+cost_{white}}\times 100[/tex]
[tex]:\implies\sf\:\dfrac{2.50-1.50}{2.50+1.50}\times 100[/tex]
[tex]:\implies\sf\:\dfrac{1}{4}\times 100[/tex]
[tex]:\implies\:\boxed{\bf{\gray{25\:\%}}}[/tex]
Combine like terms: A. 7a + 7b - 13a - 11b B. -5a - 12a + 2b - 3b Explain
What is the value of the expression below?
(-8)^4/3
A. 32
B. 16
C. -16
D. 3
Answer:
-16
Step-by-step explanation:
What is the product of (-0.9)×(-2.4)
Answer:
the answer is 2.16
Step-by-step explanation:
just use a calculator and it will tell you the answer
the perimeter of the isosceles triangle with base length y-2 and legs of length y
Answer:
3y-2
Step-by-step explanation:
y+y+y-2
3y-2
The perimeter of the isosceles triangle with base length y - 2 and length of legs y is 3y - 2. legs.
Here,
Base length of triangle is y - 2.
Length of legs of triangle is y.
What is Perimeter of triangle?
Perimeter of triangle is sum of all three sides of a triangle.
Now,
Base length of triangle is y - 2.
Length of legs of triangle is y.
Perimeter = y - 2 + y + y
= 3y - 2
Hence, The perimeter of the isosceles triangle with base length y - 2 and legs of length y is 3y - 2.
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A snowboarder traveled at a speed or 12 meters per second for 15 seconds. How far did the snowboarder travel ? A. 18 meters B. 27 meters C. 180 meters D.270 meters
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
2021 EDGE
Use the properties of exponents to simplify the expression: 2(x13)65⋅y23
Simplify the following expression.
5 (2x - 3) + 4(x + 1)
Answer:
Step-by-step explanation:
10x - 15 + 4x + 4
14x - 11
What is equivalent to 6/25. A.0.20 B.0.22 C. 0.24 D. None
Answer:
C. .024
Step-by-step explanation:
You multiply 25 by 4 to get 100 and then you multiply 6 by 4 to get twenty four. After that you divide both numbers by one hundred and you get C
ASAP What statements are true regarding the given statement and diagram?