The solution of the inequality is h > -3 ⇒ 2nd answer
Step-by-step explanation:
Let us revise very important notes about solving inequalities
You can add and subtract both sides of inequality by a number without change the sign of inequalityYou can multiply or divide both sides of inequality by a positive number without change the sign of inequalityYou can multiply or divide both sides of inequality by a negative number with change the sign of inequality (-2x < 4 ⇒ ÷ (-2) makes it x > -2)∵ -4 h - 3 < 9
- Start with adding both sides by 3 to separate the variable
in one side and the numerical term in the other side of the
inequality sign
∴ -4 h - 3 + 3 < 9 + 3
∴ -4 h < 12
- Now divide both sides by -4 and use the last note above
∵ -4 ÷ -4 = 1
∵ 12 ÷ -4 = -3
∵ < must change to > (because we divide both sides by (-) number
∴ h > -3
The solution of the inequality is h > -3
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Answer:
h> -3
Step-by-step explanation:
to factory plants are making TV panels. Yesterday plant a produce 8000 panels 1% of the panels from plant a 4% of the panels from plant be where defective how many panels did plant be produced if the overall percentage of defective plants from the two plants was 2%
Answer:
[tex]Plant\ B\ produces\ 4000\ panels.[/tex]
Step-by-step explanation:
Let plant B produces [tex]x[/tex] panels.
Defective Panels from Plant A and Plant B
Defective panels from plant A[tex]=1\%\ of\ 8000[/tex]
Defective panels from plant A[tex]=0.01\times 8000[/tex]
Defective panels from plant A[tex]=80[/tex]
Defective panels from plant B[tex]=4\%\ of\ x[/tex]
Defective panels from plant B[tex]=0.04x[/tex]
Total Defective panels=Defective panels from plant A+Defective panels from plant B
Total Defective panels[tex]=80+0.04x[/tex]
Total Panels and defective panels:
Total Panels=Panels from plant A+Panels from plant B
Total Panels=8000+x
Total Defective panels[tex]=2\%\ of\ total\ panels=2\%\ of\ (8000+x)[/tex]
Total Defective Panels[tex]0.02\times (8000+x)=160+0.02x[/tex]
[tex]80+0.04x=160+0.02x\\\\0.04x-0.02x=160-80\\\\0.02x=80\\\\x=\frac{80}{0.02}\\\\x=4000[/tex]
What is the vertex of the graph of the function y=(x+2)^2?
Answer:(2,0)
Step-by-step explanation:
What is the value of Negative 3 StartAbsoluteValue 15 minus 2 EndAbsoluteValue + 2 s cubed when s = negative 3?
-108
0
108
216
Answer:
The right answer is - 93 and none of the alternatives given is correct.
Step-by-step explanation:
Let's find the value of:
- 3 |15 –2 | + 2s³ , when s = -3
Replacing s, we have:
- 3 |15 –2 | + 2 * -3³
- 3 | 13 | + 2 * - 27
- 39 - 54 = -93
The right answer is - 93 and none of the alternatives given is correct.
Answer:
A; -108
Step-by-step explanation:
graph the equation
y = - 4
Answer:
Hi! Use a calculator thats math... way!
Step-by-step explanation: The negative 4 on the graph would just have a direct slope going through the negative side of the graph!
Which of the following is a solution to the inequality below?
5 > v
Answer:
v = 4
Step-by-step explanation:
4 is less than 5. 7,8 and 10 are all greater than 5.
How do I solve these using the elimination method:
x+y+z=20
13x+0y+6z=132
150x+90y+139z=2601
Answer:
(x=6,y=5,z=9)
Step-by-step explanation:
The given system is
x+y+z=20 ------>(1)
13x+0y+6z=132 ------->(2)
150x+90y+139z=2601------>(3)
Make y the subject in the first equation to get: [tex]y=20-x-z-------(4)[/tex]
Put equation (4) in equation (3) to get:
150x+90(20-x-z)+139z=2601
150x+180-90x-90z+139z=2601
60x+49z=801---->(5)
We solve equation (2) and (5) simultaneously
13x+6z=132 ------->(2)
60x+49z=801---->(5)
Make x the subject in equation (2) to get:
[tex]x=\frac{132-6z}{13}[/tex]
Put it in (5)
[tex]60(\frac{132-6z}{13})z+49z=2601[/tex]
[tex]\frac{277z+7920}{13}=801[/tex]
[tex]277z+7920=10413[/tex]
[tex]277z=2493[/tex]
[tex]z=9[/tex]
[tex]x=\frac{132-6*9}{13}=6[/tex]
From 6+y+9=20
y=20-15=5
The height of a triangle is 5 m less than it’s base. The area of the triangle is 42 m^2 what is the length of the base
Answer:
12 meters
Step-by-step explanation:
Let b = base
then
b-5 = altitude
since we know that the area for any triangle is
(1/2)bh
where
b is base
h is height or altitude
(1/2)b(b-5) = 42
b(b-5) = 84
b^2-5b = 84
b^2-5b-84 = 0
(b-12)(b+7) = 0
b = {12, -7}
toss out the negative solution leaving:
b = 12 meters
Here is the set up:
A = (bh)/2
42 = [b • (b - 5)]/2
This is all you need. Solve the equation for b to find your answer.
CAN SOMEONE HELP ME WITH THE QUESTION IN THE IMAGE. I WILL MARK THE PERSON WHO GETS IT RIGHT AS BRAINLIEST
Answer:
[tex]x = 8[/tex] units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
From the diagram, the half of the diagonal measure 5x units and 6x-8 units.
This halves must be equal in length.
[tex]6x - 8 = 5x [/tex]
Group similar terms to get:
[tex]6x - 5x = 8[/tex]
Simplify to get:
[tex]x = 8[/tex]
2apples and I add 1 more how many apples are there?
Answer:
3
Step-by-step explanation:
2+1=3
Answer:
3 apples
Step-by-step explanation:
2 apples + 1 apple = 3 apples
Jin bought a book that costs 5.60 if the tax rate is 7% how much tax did he pay
Answer:
$5.99
Step-by-step explanation:
5.6*1.07
1.07 is the tax plus the original price
is 5.992
which rounds up to $5.99
An object’s speed decreases by 6% for each minute that it is slowing down. What is the percent that it’s speed will decrease over half an hour?
There is a mountain with 30 bat caves in a row that contain 340 bats in all. Any 7 caves in a row contain exactly 77 bats. Suppose the first cave has 7 times more bats than the last caves. How many bats in the 29th cave?
Answer:
The 29th cave has 28 bats.
Step-by-step explanation:
It is given that any 7 caves in a row contain 77 bats.
So, out of the 30 caves, let us start counting from the second cave till the 29th cave(counting 28 caves).
7 times 4 gives us 28, which has [tex]77\times4=308[/tex] bats. We have not counted the first and last cave.
Let the number of bats in the last cave be [tex]x[/tex], then according to the question:
[tex]7x+x=340-308=32[/tex](First cave has 7 times more bats than the last cave)
Hence, [tex]x=4[/tex](number of bats in the 30th cave)
Now we shall again count, but this time from the first cave, leaving out the last 2 caves. So the total number of bats in the first 28 caves is 308 and 32 in the last 2 caves.
So, the number of bats in the 29th cave = 32 - 4 = 28
Select the smallest fraction from the following list of fractions. 2/3, 3/4, 1 1/2, 3/5, 2 2/3, 7/8
Answer:
The answer is 3/5
Step-by-step explanation:
Let's convert to decimals these fractions and mixed numbers to make the comparison and find out the smallest fraction, this way:
2/3 = 0.67
3/4 = 0.75
1 1/2 = 1 + 1/2 = 1.5
3/5 = 0.6
2 2/3 = 2 + 2/3 = 2.67
7/8 = 0.875
Now we observe that the lowest value is 0.6, therefore, the smallest fraction is:
3/5
To find the smallest fraction, compare and convert the fractions to have a common denominator. The smallest fraction from the given list is 7/12.
Explanation:To find the smallest fraction from the given list, we need to compare the fractions. One way to compare fractions is to make their denominators equal. Let's convert all the fractions to have a denominator of 12:
2/3 = 8/123/4 = 9/121 1/2 = 18/123/5 = 7/122 2/3 = 20/127/8 = 10.5/12From the conversions, we can see that the smallest fraction is 7/12.
Learn more about Comparing and converting fractions here:https://brainly.com/question/32924819
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Mia deposits $300 into an account that pays simple interest at a rate of 5% per year, how much interest would she be payed in the first 2 years?
Answer: $30
Step-by-step explanation:
I=PRT
I= (300)(0.05)(2)
I= 15(2)
I= 30
solve this question
Answer:
PQ = 13 cm
Step-by-step explanation:
You need to use the Pythagorean Theorem twice.
On the base of the cuboid, mark the point opposite P, point A. Point A is vertically below point Q. Now draw a segment from point P to point A.
The distance from point P to point A can be found using the Pythagorean Theorem.
(3 cm)^2 + (4 cm)^2 = (PA)^2
9 cm^2 + 16 cm^2 = (PA)^2
25 cm^2 = (PA)^2
PA = 5 cm
Segment PA is a side of triangle PAQ. Angle PAQ is a right angle. Sides PA and AQ are legs of the right triangle, and side PQ is the hypotenuse. Now we use the Pythagorean Theorem again.
(PA)^2 + (AQ)^2 = (PQ)^2
(5 cm)^2 + (12 cm)^2 = (PQ)^2
25 cm^2 + 144 cm^2 = (PQ)^2
169 cm^2 = (PQ)^2
PQ = 13 cm
What postulate or theorem proves the two triangles are similar?
Answer:
sss therom
Step-by-step explanation:
they are congruent on all sides
Javier used the expression below to represent his score in a game of mini-golf.
3x + x + 5 – 2x
If he simplifies the expression, which statements are true about the parts of the simplified expression? Select three options.
The constant is 2.
The coefficient is 2.
The constant is 5.
The coefficient is 5.
There are two terms.
Answer:
The three true options are B, C and E.
Step-by-step explanation:
Let's simplify the expression that represent the score of Javier in a game of mini-golf:
3x + x + 5 – 2x
2x + 5
Which statements are true about the parts of the simplified expression? Select three options.
A. The constant is 2.
It's false. The constant is 5.
B. The coefficient is 2.
It's true. The coefficient of x is 2.
C. The constant is 5.
It's true.
D. The coefficient is 5.
It's false. 5 is the constant and the coefficient of x is 2.
E. There are two terms.
It's true. The two terms are 2x and 5.
The three true options are B, C and E.
tHE ANSWER IS 3 ANSWERS. bce
Scientists determined that Antarctica’s average winter temperature was −34.44°C. The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees. What was Antarctica’s highest recorded temperature? A 83.88°C B 15°C C −83.88°C D −15°C
Answer:
The answer is C. -83.88
What is y=x-4 and y=4x-10
Answer:
I got an answer of X = 2
Step-by-step explanation:
I used subtituion and got 2
Answer:
Step-by-step explanation:
I've already answered this question.
How does the coefficient of a affect the way the parabola opens
Answer: If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.
Step-by-step explanation:
Answer:
If the y is squared, the parabola is horizontal. If the x is squared, the parabola is vertical. If it's negative the parabola opens down or to the left. If it's positive the parabola opens up or to the right.
Step-by-step explanation:
edge 2021
Given that f(x)
equals
= 3x+2
and g(x)=x^2−2x−6
find (g◦f)(6).
(g◦f)(6) means we have to find g(f(6)).
So f(6)=3(6)+2=20
And g(20)=20^2-(20)(2)-6=400-40-6=360-6=354
So (g◦f)(6) is 354
Hope this helped!
A new car is purchasd for 20,300 dollars. The value of the car depreciates at 9.5% per year. What will be the value of the car be, to the nearest cent, after 11 years?
[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &20300\\ r=rate\to 9.5\%\to \frac{9.5}{100}\dotfill &0.095\\ t=\textit{elapsed time}\dotfill &11\\ \end{cases} \\\\\\ A=20300(1-0.095)^{11}\implies A=20300(0.905)^{11}\implies \stackrel{\textit{rounded up}}{A=6770.65}[/tex]
Answer:
$6770.65
this is rounded up
Step-by-step explanation:
1/3 divided by 5/6a what is the answer please I don’t get it;(
Answer:to divide you have to have the same number for the bottom number so you will divide 2\6 by 5\6a and you will probably get a answer with a graphing calculator i hope this helps
Step-by-step explanation:
Cleo bought 10 feet of ribbon for costumes. He used 2 feet of ribbon last week. He cut of the remaining ribbon into one- sixth foot pieces. How many pieces of ribbon does Cleo have?
Answer:
48 pieces
Step-by-step explanation:
Given:
Cleo bought 10 feet of ribbon.
He used 2 feet of ribbon last week.
He cut of the remaining ribbon into one- sixth foot pieces.
Question asked:
How many pieces of ribbon does Cleo have ?
Solution:
Total length of ribbon = 10 feet
He has used length of ribbon = 2 feet
Remaining length of ribbon = 10 - 2 = 8 feet
He cut remaining ribbon into = [tex]\frac{1}{6}foot[/tex]
Number of pieces of ribbon = [tex]8\div\frac{1}{6}[/tex]
= [tex]8\times6 = 48 pieces[/tex]
Therefore, Cleo have 48 pieces of ribbon.
The graph shows the relationship between the hours a soccer team practiced after the season started and their total practice time for the year. a. How many hours did the soccer team practice before the season began?
Answer:
6 hours
Step-by-step explanation:
The picture of the question in the attached figure
Let
x ----> the hours a soccer team practiced after the season started
y ----> the total practice time for the year in hours
we know that
The y-intercept of a linear equation is the value of x when the value of y is equal to zero
In the context of this problem, the y-intercept is the total practice time before the season began (the value of x is equal to zero)
Looking at the graph
The y-intercept is the point (0,6)
therefore
the total practice time before the season began is 6 hours
Answer:
can yu show the picture?
Step-by-step explanation:
What is 10/24 as a improper fraction
Answer:
10/24 cannot be written as an improper fraction.
Step-by-step explanation:
a faction is only an improper fraction when the numerator is a larger number than the denominator. Therefore, this fraction, 10/24, can only be simplified or transformed into a decimal.
Simplified: 5/12
Decimal: 0.416 or 0.42
I hope this was helpful!
What two fractions equal 1 1/5
I also need help with this one also
Answer:
4/5 + 2/5
Step-by-step explanation:
They would equal 6/5 which is equivalent to 1 1/5
Siven that f(x)=x2 - 7 and g(x)= 4 - x, find (f - g)(1), if it exists.
Answer:
- 9
Step-by-step explanation:
Note that (f - g)(x) = f(x) - g(x)
f(x) - g(x)
= x² - 7 - (4 - x)
= x² - 7 - 4 + x
= x² + x - 11
Thus
(f - g)(1) ← substitute x = 1 into (f - g)(x)
= 1² + 1 - 11
= 1 + 1 - 11
= - 9
is The fraction 3/7 is smaller than 5/7 . True False
Answer:
Yes
When comparing fractions such as 3/7 and 5/7, you could also convert the fractions
Need some help with some questions:
1) What is the simplified form of:
[tex] \sqrt{8} + 5 \sqrt{2} [/tex]
2) Which fraction is equal to:
[tex] \frac{ \sqrt{3} + \sqrt{5} }{ \sqrt{3} } [/tex]
A.
[tex]3 + \sqrt{5} [/tex]
B.
[tex] \frac{2 \sqrt{3} + \sqrt{5} }{ \sqrt{3} } [/tex]
C.
[tex] \frac{3 + \sqrt{15} }{3} [/tex]
D.
[tex] \frac{3 + \sqrt{5} }{3} [/tex]
3) How many solutions are there for x if
[tex]y = {x}^{2} - 2 \: and \: 2x + y + 6 = 0[/tex]
4) Which equation has no simultaneous solution with:
[tex]y = {x}^{2} + 4[/tex]
A.
[tex]x = - 3[/tex]
B.
[tex]y = x + 4[/tex]
C.
[tex]y = 3x + 2[/tex]
D.
[tex]y = 2 - x {}^{2} [/tex]
5) Which one of these expressions is not rational?
A.
[tex]2 \sqrt{3} \times \sqrt{27} [/tex]
B.
[tex] \frac{2}{ \sqrt{8} } \times \sqrt{18} [/tex]
C.
[tex] \frac{3 \sqrt{42} }{ \sqrt{3} } [/tex]
D.
[tex] \sqrt{ \frac{4}{9} } [/tex]
Answer:
Question 1) 7 root 2
Question 2 ) c
Question 3) ?
Question 4) A
Question ) D
Answer:
1) 7 Root 2
2) C
3) 4
4) A
5) D
Step-by-step explanation: