Remember to follow the FOIL method.
Note that: FOIL = First, Outside, Inside, Last.
Multiply
First: (3x)(x) = 3x²
Outside: (3x)(-7) = -21x
Inside: (2)(x) = 2x
Last: (2)(-7) = -14
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3x² -21x + 2x -14
Combine like terms
3x² (-21x + 2x) - 14
3x² - 19x - 14
3x² - 19x - 14 is your answer
~Rise Above the Ordinary
If y = 7x, what happens to x when y is increased by 5 times its original value?
A) x decreases 5 times its original value
B) x increases to 11/5 its original value
C) x also increases 5 times its original value
D) x decrease to 4/5 of its original value
B) Because to find the value of x and y you have to divide x by 7 to make it x and the multiply 7 by y because you divided by the opposite side, which is x.
The legs of a right triangle measure 5 inches and 7 inches. If theta is the angle between the 7 inch leg and the hypotenuse, sin theta = ___
Answer:
sin (θ) = 0,58
Step-by-step explanation:
The formula for sin (θ) is:
sin (θ) = (opposite side)/hypotenuse
The opposite side to the θ angle is the one that measures 5 inches, but we don’t know the measure of the hypotenuse. The Pythagoras theorem gives us the following formula:
side 1²+ side 2²= hypotenuse²
Then,
5²+7²=74
√74= 8,60 inches; this is the measure for the hypotenuse.
Replacing this value in the formula for sine:
sin (θ) = 5/8,60 = 0,58
13 6 1. 3x − 3 4 = 13 6 2. 3x − 3 4 + 3 4 = 13 6 + 3 4 3. 3x = 26 12 + 9 12 4. 3x = 35 12 5. ( 3 1 ) 3 1 x = 35 12 ( 3 1 ) 6. x = 105 12 In which step did Jerry make an error?
Answer:
The answer is: d) in step 5 he should have multipled both sides by 1/3.
Answer:
D
Step-by-step explanation:
Using the information in the table, how many milliliters are in 7 kiloliters?
The correct answer is 7e+6 or in other words 7000000
A patient in the emergency room is monitored for heart rate, oxygenation level, etc. The nurse notices that the heart beat averages 80 but drops to 60 beats every other minute and then spikes to 120. The cardiologists have asked the nurses to notify them if this happens, as that pattern is indicative of heart attacks. The nurse calls the doctor.
Is the nurse using inductive or deductive reasoning?
Mia needs to separate 450 pens into 18 packs.each pack will have the same number of pens. How many pens should be put in each pack
Do 450 divided by 18, which equals 25
All you would need to do is divide 450 by 18. This equals 25. So, 25 pens should be put into each pack.
I hope this helps you! Comment if you have any questions or need help with anything else. :)
If f(x) = 3x^2 – 2x + 4 and g(x) = 5x^2 + 6x – 8, find (f - g)(x).
Answer:
[tex]-2x^2-8x+12[/tex]
Step-by-step explanation:
[tex]f-g=(3x^2-2x+4)-(5x^2+6x-8)=3x^2-2x+4-5x^2-6x+8=\\ =-2x^2-8x+12[/tex]
(f-g)(x)=f(x)-g(x)
=((3x^2)-2x+4)-((5x^2)+6x-8)
=(-2x^2)-8x+12
The answer is -2x^2 -8x+12. I hope this helps.
Which of the following rational numbers is equal to 3 point 4 with bar over 4? 31 over 9, 32 over 9, 33 over 9, 34 over 9
ANSWER
[tex]3.\bar4 =\frac{31}{9}[/tex]
EXPLANATION.
Let [tex]y=3.\bar4---(1)[/tex]
This is a recurring decimal. So we need to multiply by 10 to form a new equation that will cater for the recurring but when subtracted.
Multiply (1) by 10 to obtain,
[tex]10y=34.\bar4---(2)[/tex]
Equation (2) -equation (1) gives;
[tex]9y=31[/tex]
[tex]\Rightarrow y=\frac{31}{9}[/tex]
Hence the correct answer is A.
Express the following as the difference of two squares
(7a+2)(7a-2)=
(7a+2)(7a-2)
= (7a)^2 - (2)^2
= 49a^2 - 4
What is −13+2z=−56 Thanks
To solve the equation −13+2z=−56, we isolate z by first adding 13 to both sides, giving 2z=−43, and then dividing both sides by 2, resulting in z=−21.5.
Explanation:The student is asking for the solution to the linear equation −13 + 2z = −56. To solve for z, we need to perform two steps. First, add 13 to both sides of the equation to isolate the term with z on one side. This gives us 2z = −43. Next, we divide both sides by 2 to solve for z, which results in z = −21.5.
if a cashier can count a certain sum of cash in 2 hours and another cashier can count the same sum in 3 hours then both cashiers working together will count this sum in what
they can do it in five hours
Reflectional symmetry is the quality a design has if it maintains _____ when it is reflected across an axis or line of symmetry. A. some characteristics B. all characteristics C. no characteristics
The correct answer would be B, all characteristics. Reflectional Symmetry is when an object is divided into halve in which to completely identical pieces are left.
(B) All characteristics.
Reflection symmetry:In mathematics, symmetry with regard to a reflection is known as reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry. In other words, a figure with reflectional symmetry does not alter when it is reflected.There is a symmetry line or axis in 2D and a symmetry plane in 3D. A mirror-symmetric object or figure is one that is identical to its changed counterpart. In conclusion, the shape is divided in two by a line of symmetry, and both parts should be the same.Therefore, the correct option to fill the blank is (B) All characteristics.
Know more about Reflection symmetry here:
https://brainly.com/question/22759080
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use the number line to complete each statement
0.2 as a decimal 1/5 as a fraction 20% as a percentage
3/10 as a fraction 0.3 as a decimal and 30% as a percentage
0.75 as a decimal 75% as a percentage 3/4 as a fraction
1.25 as a decimal 125% as a percentage 125/100
Hopes this helps
Please answer! I need it for my Math Homework.
Here are the areas of the 3 separate shapes:
1. 27.5 m^2
2. 25.5 m^2
3. 27.5 m^2
As you can see, the 1st and 3rd shapes share the same total area, so those are the shapes you should select.
I need help on numbers 8,10, and 12
8. 40%
10. 192
12. 0.04
after a week of rain, tadpoles apperead in your pond. after t minutes, you have (7t + 5) tadpoles and your friend has (8t - 3) tadpoles. whats the expression me and my friend caught together
Can 15 over 240 be simplified
Answer:
yes 1/16
Step-by-step explanation:
Write the number name for 43,080,700
The number name for 43,080,700 is Forty-three million, eighty thousand and seven hundred.
It is required to find the number name.
What is real number?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Given:
The number name for 43,080,700 is
Forty-three million, eighty thousand and seven hundred.
Therefore, the number name for 43,080,700 is Forty-three million, eighty thousand and seven hundred.
Learn more about real number here:
brainly.com/question/11271240
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Find the slope of a mountain that descends 100 meters for every horizontal distance of 1,000 meters.
We are given: a mountain descends (getting down vertically) = 100 meter.
For getting down we would take it by a negative number so it would be -100 meter.
And every horizontal distance = 1,000 meter.
We know formula for slope is = Change in vertical distance/ Change in Horizontal distance.
Plugging values in formula of slope above, we get
Slope = -100/1000 = -1/10 or -0.1.
Therefore, we could say the slope of a mountain is [tex]-\frac{1}{10}\ or \ -0.1.[/tex]
695 kilometers = 278 kilometers in hours
Answer:
This is not a complete question...
the 8th grade class planned a trip to kings dominion and 120 students went. Ten students rode with their parents. The rest rode on two charter busses. How many stidents were on each bus
120-10=110/2=55 students per bus
Step one: 120-10= 110
Step two: 110÷2=55
Answer: 55 students per bus
-12>x-7=
explain the inequality
-12 > x - 7 flip the inequality
x - 7 > -12 add 7 to both sides
x - 7 + 7 > -12 + 7
x > -5
I need help determining which answer is correct for this question. "Which is the correct label of parallel lines?" Offering 34 points. Thanks in advance.
the answer should be D
The answer shoud be D because the line are across from each other.
find x if a =13 and C = 47 need help
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)
Solve the equation. Check your solution, if possible
[tex]4(3q - 2) = 16q[/tex]
Hey there!!
Given equation :
... 4 ( 3q - 2 ) = 16q
... 12q - 8 = 16q
Subtract by 12q on both sides
... -8 = 4q
Divide by 4 on both sides
... -8 / 4 = q
... q = -2
Given equation :
4 ( 3q - 2 ) = 16q
Substitute the value of -2 in place of q
... 4 ( -6 -2 ) = 16 × -2
... 4 ( -8 ) = -32
... -32 = -32
∴ Hence proved
Hope my answer helps!!
One number is one-fifth of another number. The two numbers total 18. Find the numbers
Answer:
One number is 17 and the other is 85.
Step-by-step explanation:
Let the numbers be m and n. Let m = (1/5)n. Note that m+n = 18.
Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18. Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85. m is (1/5) of 85, or m = 17.
Final answer:
The two numbers in question are 15 and 3. To find them, establish a variable for the larger number, set up an equation based on the given ratio and sum, solve for the variable, and divide by five to get the smaller number.
Explanation:
The student wishes to find two numbers where one number is one-fifth of the other and their sum is 18. Let's denote the larger number as x and the smaller number as one-fifth of x, or x/5. The equation representing their sum is x + (x/5) = 18. To solve for x, we first find a common denominator, which is 5, and rewrite the equation as 5x/5 + x/5 = 18. Combining like terms gives us 6x/5 = 18. Multiplying both sides by 5/6, we get x = (18 × 5) / 6. Simplifying this gives x = 15. We then calculate x/5 to find the smaller number, yielding 3. Therefore, the larger number is 15 and the smaller number is 3.
A piece of candy weighs 30 grams. All of the candy in a bag weighs 750 grams. How many pieces of candy are in the bag? A) 15 B) 21 C) 25 D) 35
21 (c) pieces of candy
Answer:
c
Step-by-step explanation:
What is 1 2/4 plus 9 5/10
First we find the fraction in decimal form,
so they it will equal to 1.5 because 2/4 is 0.5 and 9.5 because 5/10 is .5 as well
Then we add and get a whole number which is 11
Answer,
11
Hope this helps :-)
Selina claims single having one exemption.
Remark
Whatever the table shows is probably the Federal tax. It shows that with one exemption and a biweekly pay of 850 means that 80 is deducted.
The amount of state tax is 21% of the federal fax.
State Tax = 80 * 21/100 = $16.80 Answer
A rope is used to anchor a boat to the shore. The angle of depression from the boat to the water is 40° . The height of the boat above the water is 25.17 feet. What is the length of the rope that is anchoring the boat to the shore?
Final answer:
To find the length of the rope anchoring the boat to the shore, use the tangent function with the angle of depression and the height of the boat above the water.
Explanation:
To find the length of the rope anchoring the boat to the shore, we can use trigonometry. The angle of depression from the boat to the water is 40° and the height of the boat above the water is 25.17 feet. We can use the tangent function to find the length of the rope. tan(40°) = opposite/adjacent. The height of the boat above the water is the opposite side and the length of the rope is the adjacent side. So, we have:
tan(40°) = 25.17/adjacent
Solving for the adjacent side, we get:
adjacent = 25.17 / tan(40°)
Using a calculator, we can evaluate this expression to find that the length of the rope is approximately 33.95 feet.
What is the product in simplest form?
−8/9⋅5/6
The answer is 20/27. 8/9x5/6=20/27.