Find the extraneous solution of the equation |4x−42|=−10x.
Answer:
x=3 is the extraneous solution
Step-by-step explanation:
|4x-42| = -10x
Since it's absolute value and we know that there are two possibilities, we need two equations to set up to solve for x.
1st equation:
4x - 42 = -10x2nd equation:
4x - 42 = 10xSolve both equations for x:
1st equation:4x - 42 = -10x14x-42 = 014x=42x = 32nd equation:4x-42=10x-6x-42=0-6x=42x=-7Plug in both values for x in the original equation to find the extraneous solution:
x=-7
|4x-42|=-10x|4(-7)-42|=-10(-7)|-28-42|=70|-70|=7070=70x=3
|4x-42|=-10x|4(3)-42|=-10(3)|-30|=-3030≠-30Which of the following can not be used to express the number 8?
eight below zero
positive eight
+8
eight more than zero
Answer:
A positive number or a number that is greater than zero
Step-by-step explanation:
You and a friend are sharing a swing. You have swung 11 times while your friend has swung twice as many times. Which of the following is a good estimation of how many more times your friend has swung than you?
Answer:
10
Step-by-step explanation:
Ten less than 3 times a number is the same as the number plus 4.
Step-by-step explanation:
10 - 3x = x-4
Collect like terms
10 +4 = x + 3x
14 = 4x
Divide both sides by 4
X = 14
4
= 7
2
= 6 1
2
Or
= 6.5
Below are the pre-image and image a trapezoid. Choose the correct name of the transformation used to create the image. Group of answer choices Reflection Rotation Translation
Answer:
I think it's a 90 degree rotation
Find the intercepts of the equation.
4x + 7y = - 84
To find the x and y intercepts, we have to plug 0 into x and y respectively.
4(0) + 7y = -84
Simplify.
7y = -84
Divide both sides by 7
y = -12
The y-intercept = (0, -12)
4x + 7(0) = -84
Simplify.
4x = -84
Divide both sides by 4
x = -21
The x-intercept = (-21, 0)
The football team has a total of 50 jerseys There are 30 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answer:
60%
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
because 30/50 × 2 =60/100 =60%
8i to the power of 62
Answer: -8
Step-by-step explanation:
help me plz 50 points and ill give brainliest if you answer all
Answer:
11) [tex]2x=-4[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]
[tex]x=-2[/tex]
12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]
([tex]2^4=16)[/tex] if you wanted the exact value.
13) [tex]-3+10=x[/tex]
Switch sides:
[tex]x=-3+10[/tex]
Rearrange:
[tex]x=10-3[/tex]
[tex]x=7[/tex]
14) [tex]10^2-64[/tex]
[tex]10*10-64[/tex]
[tex]100-64[/tex]
[tex]36[/tex]
15) [tex]\sqrt{100}-5^2[/tex]
[tex]10-5^2[/tex]
[tex]10-5*5[/tex]
[tex]10-25[/tex]
[tex]-15[/tex]
16) [tex]\frac{1}{4}x=-10[/tex]
Multiply both sides by 4:
[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]
[tex]x=-40[/tex]
17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]
[tex](2^6=64)[/tex] if you wanted the exact value.
18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]
[tex](2^5=32)[/tex] if you wanted the exact value.
Bonus Question:
Terrorist attacks took place against the United States in September 11 2001.
This is named "September 11 attacks" and you can search more about it online.
Answer:
10. x = -2
12. 16
13. x = 7
14. 36
15. -15
16. x = -40
17. 64
18. 32
Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.
Step-by-step explanation:
Please help please help
Answer:
1/9 is the correct answer Hope this helps!!
Step-by-step explanation:
Answer:
1/9 or .111111111111111
Step-by-step explanation:
Juan ran the lemonade stand for 3 more days
Answer:
We need more information to be able to answer your question.
A candy jar has 24 candies. One-third of the candies are chocolate of the leftover candies, half are gummy bears and the other half is skittles. How many skittles are in the jar
Answer:
8
Step-by-step explanation:
one third of 24 is 8 and then you have 16 leftover so you divide 16 by 2 and you will get 8
Write -0.35 as a mixed number in simplest form
Step-by-step explanation:
[tex] \huge - 0.35 = - \frac{35}{100} = - \frac{7}{20} [/tex]
Consider the expression 2 3 (14x − 3) − 3x( 4 5 + 5). Which statements are true about simplifying this expression? Check all that apply. Using the distributive property, the Two-thirds would be multiplied to 14x and to –3. Combining Four-fifths + 5 can be done before multiplying it by 3x. Using the distributive property, 3x times Four-fifths is subtracted, but the 3x times 5 is added. Combining 14x – 3 can be done before multiplying by Two-thirds. Subtracting 3x is the same as adding –3x.
Answer:
1. using the distributive property, the two-thirds would be multiplied to 14x and to –3. 2. combining four-fifths + 5 can be done before multiplying it by 3x. 3. subtracting 3x is the same as adding –3x. (A, B, & E)
Step-by-step explanation:
just finished this lesson lol
Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.
Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.
What is an Expression?An expression is a mathematical statement consisting of variables, constants, and mathematical operators.
The expression is
[tex]\rm \dfrac{2}{3} (14x -3) - 3x( \dfrac{4}{5} +5)[/tex]
Applying Distributive Property
[tex]\rm \dfrac{2}{3} * 14x - \dfrac{2}{3} *3 - 3x * ( \dfrac {4 + 25}{5})[/tex]
Therefore, Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.
Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.
To know more about Expression
https://brainly.com/question/14083225
#SPJ2
I bought three pencils costing 18 cents each. how much change did I get from $1
Answer:
15 pencils
Step-by-step explanation:
18c/3
x/1
cross multiply then divide
Answer:
46 cents
Step-by-step explanation:
18 x 3 = 54
100 - 54 = 46
At a school there are six lessons in a day.
In total, the six lessons last for five hours.
Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Answer:
the answer is about 50 minutes
Step-by-step explanation:
5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins
Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.
Answer:
1.429 lbs per dollar of sugar
Step-by-step explanation:
multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up
Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.
Sugar per dollarYou can find out the quantity of sugar you get per dollar using the formula:
= Price of sugar / Number of pounds
Solving gives
= 1.40 / 2
= 0.7 pounds
In conclusion, you get 0.7 pounds.
Find out more about cost per unit at https://brainly.com/question/24398532.
-does anyone understand Stand this also does anyone else need help
Answer:
I think its j
Step-by-step explanation:
Answer: Choice F) [tex]x \le -5[/tex]
====================================================
Explanation:
One long rectangle represents x. Four of them represent 4x
One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.
So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12
The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.
----------------
The inequality we need to solve is [tex]4x+12 \le -8[/tex]
We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x
This is what the steps would look like:
[tex]4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \ \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \ \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\[/tex]
The inequality sign does not flip since we did not divide both sides by a negative number.
Maggie's brother is 8 years younger than twice her age. The sum of their ages is 25.
How old is Maggie?
Maggie is
years old.
Answer:
the sum is 25 not 24?
Step-by-step explanation:
During a recent beetle infestation, two-thirds of the ash trees in the area were destroyed. If 130 trees were destroyed, how many ash trees were originally in the area?
Answer:
195 Trees
Step-by-step explanation:
2/3 is just 2 of 3 parts
2 parts of the trees is 130,
so divide 130 by 2, and that's 65.
Since you know 65 + 65 is the same as 2 out of 3
Then just add 65 one more time to equal 195.
Since, 65*3 is the same as saying 1 * 3 parts
130 is equal to 2/3, so 195 is equal to 3/3.
Please answer ASAP my assigned due tomorrow WORTH 15 POINTS
Answer:
$7.74
Step-by-step explanation:
The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.
For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.
This means that we can add these values together to get the minimum amount that the school needs to earn
[tex]1137.50+1500=2637.50[/tex]
Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.
[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]
This means that the school needs to sell these books for at least $7.74
(... This fictional school is selling the books for more than double the price they paid for them...)
7. In name the bisected angles 1 and 2. If is 4x 3y, can be determined in terms of x and y? If so, state in terms of x+ y expression and explain your reasoning.
Answer:since there is no diagram i will answer to the best of my ability.
Step-by-step explanation:
If an angle is bisected then it is divided into 2 equal angles which i think they are naming 4x and 3y. In this case, 4x=3y. Solving for x, we get x= (3y)/4. Solving for y we get y= (4x)/3. Now if we substitute (4x)/3 for y in the equation x= (3y)/4 then x= (3(4x)/3)/4 = 4x/4=× so then we can say x÷y = measure of original angle that was bisected. Or znother way it can be said is x+y = 2x or x+ y =2y.
Find two consecutive whole numbers that 56 lies between.
(NEED ASAP PLEASE !!)
Which input value produces the same output value for
the two functions on the graph?
X = -1
X = 0
X = 3
X = 4
Answer:
x = 4
Step-by-step explanation:
The input values are the x-values represented in the graph while the output values are the y-values.
The x-coordinate of the point at which the line of the two functions intersect, f(x) and g(x), is the input values that produces the same output values for both functions.
Thus:
For f(x), when x = 4, y = 3. That is f(4) = 3.
Also, for g(x), when x = 4, y = 3. That is g(4) = 3.
Therefore, the input values that produces the same output values for both functions is x = 4.
Answer:
D: x = 4
Step-by-step explanation:
just took the test :-)
The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.
Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)
Step-by-step explanation:
Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).
*edmentum answer*
please help me solve this math problem, tryna graduate here
Answer:
141°
Step-by-step explanation:
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 for yellow,1/15 for blue, and 1/10 for white. What is the probability of pulling a black or yellow card, written as a reduced fraction?
Step-by-step explanation:
P(black or yellow) = P(black) + P(yellow) − P(black and yellow)
P(black or yellow) = 1/25 + 1/5 − 0
P(black or yellow) = 6/25
Which of the following can be represented by the equation y=2x
Answer:
table a
Step-by-step explanation:
because just look
what is the answer? x+300=500 Will mark brainliest for high quality answers
Answer: x=
3
500
=166.667
Step-by-step explanation:
This deals with adding, subtracting and finding the least common multiple.
Hey there!
ANSWER: [tex]x=200[/tex]EXPLANATION:[tex]x+300=500[/tex]
To solve this, we can just do 500 - 300.
[tex]500-300=200\\x=200(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
The freeman family is barbecuing veggi burgers corn on the cobs and mushrooms caps in their local park if 3/8 of the items are barbecued are veggie burgers and 1/3 of the items are barbecued are corn on the cobs what fraction of barbecued items are mushrooms caps
Answer:
7/24
Step-by-step explanation: