Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]
Now divide both sides by 2
[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
b) Suppose you throw two fair dice. What is the probability of getting an even number on the first and a 5 or 6
on the second die?
Answer:
Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6
Find the radius of a circle with an area of 1,124 sq feet.
1. Solve the inequality. x/8 >4
Answer:
X > 32
Step-by-step explanation:
Brainliest?
The Smithtown water company uses warm water meters that measure water usage in gallons. They charge $.12 per gallon of water. If Jack's previous meter reading was 45,621 gallons and his present water reading is 48,555 gallons what is the amount of his water bill?
Subtract to find the number of gallons used:
48,555 - 45621 = 2,934 gallons.
Multiply gallons used by price per gallon:
2,934 x 0.12 = $352.08
Can y’all help me? I would really appreciate it
Answer:
I think the answer is she
A glass holds 1over6 liter of liquid.How many glasses of liquid are in 4 liters
Answer:
24 glasses
Step-by-step explanation:
If a glass holds 1/6 liters of liquid, that means that 6 of them can hold one liter
1/6 * 6 = 1
and if 6 of them can hold 1 liter, that means 24 of them can hold 4 liters
6 * 4 = 24
What is a quartic polynomial function with zeros -20, -16, -11, and -9?
Answer:
Step-by-step explanation:
I hope that you don't have to multiply this out. If you do, leave a note. I delete my answer.
y = (x + 20)(x+16)(x + 11)(x + 9)
Find the inverse of each function
1. f(x) = 4/(x+2) - 2
2. f(x)= -2x^5 - 3
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Answer:
1. f^-1(x) = 4/(x+2) -2
2. f^-1(x) = (-(x+3)/2)^(1/5)
Step-by-step explanation:
1. As with all "inverse function" problems, solve for y:
x = f(y)
x +2 = 4/(y +2) . . . . add 2
y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)
y = 4/(x+2) -2 . . . . . subtract 2
We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.
f^-1(x) = 4/(x+2) -2
__
2. x = f(y)
x +3 = -2y^5 . . . . add 3
-(x +3)/2 = y^5 . . . . . divide by 2
(-(x +3)/2)^(1/5) = y . . . . take the 5th root
f^-1(x) = (-(x +3)/2)^(1/5)
In typeset form, that is ...
[tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]
This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.
_____
The graphs show the function and inverse are symmetrical about the line y=x, as they should be.
I need help plsssssssss
plz help me with the problem below
Answer:
10
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
2&7
6&3
Definition:
angles located at opposite positions between the two lines that are intersected by a transversal.
Step-by-step explanation:
What are the coordinates of point A?
1.(5,2,0)
2.(5,0,2)
3.(0,2,5)
4.(2,0,5)
The coordinates of point A are (2, 0, 5).
Then the correct option is the fourth one.
How to get the coordinates of point A?The general notation for a point on 3 dimensions is (x, y, z).
First, notice that the vertical axis is the Z-axis, the axis that points towards us is the x-axis, the axis that points to the right is the y-axis.
First, we can see that the x-value of A is x = 2.
The z-value of A is z = 5.
And A lies on the plane x_z, then the y-value is y = 0.
Then the coordinates of point A are (2, 0, 5).
So the correct option is 4.
If you want to learn more about points:
https://brainly.com/question/17206319
#SPJ1
Lipids provide much of the dietary energy in the bodies of infants and young children. There is a growing interest in the quality of the dietary lipid supply during infancy as a major determinant of growth, visual and neural development, and long-term health. An article reported the following data on total polyunsaturated fats (%) for infants who were randomized to four different feeding regimens: breast milk, corn-oil-based formula, soy-oil-based formula, or soy-and-marine-oil-based formula. (Use i= 1, 2, 3, and 4 respectively.)
Sample Regimen Sample Size Sample Mean Sample SD
Breast milk 15 42.9 1.3
CO 17 43.1 1.5
SO 8 43.7 1.2
SMO 14 43.9 1.2
What assumptions must be made about the four total polyunsaturated fat distributions before carrying out a single-factor ANOVA to decide whether there are any differences in true average fat content?
a. The distribution of polyunsaturated fat percentages for each of the four regimens must be uniform with equal variances.
b. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with unequal variances.
c. The distribution of polyunsaturated fat percentages for each of the four regimens must be normal with equal variances.
d. The distribution of polyunsaturated fat percentages for each of the four regimens must be binomial with unequal variances.
Answer:
c. The distribution of polyunsaturated fat percentages for each of the four regimes must be normal with equal variance's.
Step-by-step explanation:
Single factor ANOVA is used for testing the null hypothesis with same mean of several population. The alternative hypothesis is set against the null hypothesis in order to identify whether the null statement is correct or it will be rejected.
To multiply a decimal number by 102, move the decimal point
Answer:
two digits to the right
Step-by-step explanation:
When multiplying a decimal by 102 you would need to move the decimal point two digits to the right. This is because we are multiplying by a hundred number. When multiplying any whole positive number by a decimal, we need to move the decimal point to the right one less than the amount of digits that the positive whole number has. For example, a thousand (1000) has 4 digits so we move the decimal point of the product to the right by 3.
Examples:
102 * 0.02 = 2.04
1000 * 0.02 = 20
10000 * 0.02 = 200
PLZ HELP ASAP
Ps I accidently clicked on a choice
Answer:
B or top right answer or second answer is correct.
Write the ratio 1.5:9 in simplest form.
Answer:
1 : 6
Step-by-step explanation:
What is the probability of the spinner NOT landing
on a vowel? *
1. 0.67
2. 1
3. 0.33
4. 4
5. 0
Answer:
it's a 2/3 chance of landing on it but there are 4 non vowels. so I assume the answer is 4
A bicycle has a listed price of $516.99 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary. HELP QUICK!
Answer:
562.23
Step-by-step explanation:
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter = 2 x 2 x π = 4π in
LA = 4π x 5 = 20π in^2
Base area = 2^2 x π = 4π in^2
SA = 2 x 4π + 20π = 28π in^2
V = 4π x 5 = 20π in^3
A line passes through the point (-4,-20) and has a slope of 3. Write an equation of the line satisfying the given conditions. Write the answer in slope-intercept form
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Answer:
y = 3x -8
Step-by-step explanation:
The point-slope form of the equation of a line can be a useful place to start.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +20 = 3(x +4) . . . . with given numbers filled in
y = 3x +12 -20 . . . . eliminate parentheses, subtract 20
y = 3x -8 . . . . . . . . slope-intercept form
What are the vertices of angle A’B’C’ if angle ABC is dilated by a scale factor of 2?
Answer:
The answer is A
Step-by-step explanation:
a=(0,10)×2, b =(8,6)×2 c=(4,2)×2
Do quadratic functions and linear functions have asymptotes? If so how do you identify them
Answer:
wow thats some hardcore math ur learning
Step-by-step explanation:
GIVING 43 POINTS AND BRAINLIEST FOR THE FIRST PERSON THAT ANSWERS AND IS CORRECT!!
Translate the following expression
9 more than a number
A. 9r
B. 9 + w
C. 9÷k
D. 9x
Answer:
Step-by-step explanation:
B
a family wants to have two children determine the probability of a family having two girls
PLEASE HELP ME! I AM SO CONFUSED
Answer:
b) 13.5
Step-by-step explanation:
Use the trapezoid formula - area.
A = a+b /2 h
=> 4+5/2 · 3 = 13.5
hope this helps and is right :)
If you want 100 points plz answer this.
Answer:
It is assumed we need to find the volume and total surface area
Volume is:
V = Al = 1/2ahl = 1/2*2*1*3 = 3 ft³Total surface area is:
S = Pl + 2A= (1 + 2 + 2.2)*3 + 2*(1/2*2*1)= 17.6 ft²Answer:
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
If UV = 21 and UX = 13, what Is UW?
Answer:
17
Step-by-step explanation:
Can someone pls help with this question
Answer:
Rise=2 Run=1 type of slope is positive slope is 2 y int is 1 and the equation is y=2x+1
Step-by-step explanation:
1. First you need slope, slope is y1-x1/x2-y2 so then you get 4/2 which is 2, we also know rise/run so rise is 2
2. 2/1 so run is 1
3. its positive since slope is positve
4. y int is when x is 0 and y has value so y int is 1
5. y=2x+1 since slope and y int
:D
I'll. ark brainlyest and give a lot of points for answering this right
Answer:
[tex] \displaystyle T'( 2,4)[/tex]
[tex] \displaystyle U'( 1,1)[/tex]
[tex] \displaystyle S' ( 3,2)[/tex]
Step-by-step explanation:
we current vertices of the given triangle
[tex] \displaystyle T( - 2,4)[/tex][tex] \displaystyle U( - 1,1)[/tex][tex] \displaystyle S ( - 3,2)[/tex]remember that,
[tex] \rm\displaystyle(x,y) \xrightarrow{ \rm reflection \: over \: y - axis}( - x,y)[/tex]
so we obtain:
[tex] \rm\displaystyle \: T( - 2,4) \xrightarrow{ \rm reflection \: over \: y - axis}T'( 2,4)[/tex]
[tex] \rm\displaystyle \: U( - 1,1) \xrightarrow{ \rm reflection \: over \: y - axis}U' ( 1,1)[/tex]
[tex] \rm\displaystyle S( - 3,2) \xrightarrow{ \rm reflection \: over \: y - axis}S'( 3,2)[/tex]
Urgent please please help It's due soon!
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Answer:
money market: $1000stock: $238,500mutual fund: $228,500Step-by-step explanation:
We can let x and y represent the amounts invested in the stock and mutual fund, respectively. Then the amount invested in the money market account was (468000 -x -y). Two relations can be written.
x = y + 10000 . . . . . 10,000 more was invested in stock than in mutual funds
0.035(468000-x-y) +0.04(x) -0.03(y) = 2720 . . . . first-year return
Collecting terms in the second equation gives ...
0.005x -0.065y +16380 = 2720
-x + 13y = 2732000 . . . . . . subtract 16380, multiply by -200
12y -10000 = 2732000 . . . . substitute for x using the first equation
y = 2742000/12 = 228,500 . . . . solve for y
x = 228,500 +10,000 = 238,500 . . . . . find x from the first equation
468,000 -x -y = 468,000 -467,000 = 1,000 . . . . find the money market amount
__
Pierre invested $1000 in the money market account, $238,500 in the stock, and $228,500 in the mutual fund.