Pls help i dont understand :(
Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.
Answer:
x= 6, -7
Step-by-step explanation:
solve for x
x/3 = 5/8
Answer:
x = 15/8
Step-by-step explanation:
x/3 = 5/8
Using cross products
8x = 3*5
8x = 15
Divide each side by 8
8x/8 = 15/8
x = 15/8
X= 1 7/8
Step-by-step explanation:
If g(x) = 1-3/4x; Find -5 * g(4) - 1
2. Javier used a microscope to measure the diameter
of a grain of sand. He found that the diameter of the
grain of sand was 0.00007 centimeters. How is this
number written in scientific notation?
A. 7x 104
C. 7 x 10-6
B. 7 x 105
D. Not Here
Answer:
7 x 10^-5
Step-by-step explanation:
0.00001 is 1 x 10^-5 so multiply that by 7
Answer:
B. 7 x [tex]10^5[/tex] or not here
Step-by-step explanation:
if B. is [tex]10^5[/tex] then it is B. if it is 105 then it is not here
Hope this helped!!
Which single transformation can be applied to the graph of y = 72 StartRoot x EndRoot to produce the graph of y = 9 StartRoot x EndRoot?
- vertical translation
- vertical compression
- horizontal translation
- horizontal compression
Answer:
vertical....
Step-by-step explanation:
NawfSide 38 Baby
Answer:
B vertical compression
Step-by-step explanation:
edge :)
Alan takes 3 minutes to draw a picture. Beatrice takes 4 minutes to draw a picture. If Alan and Beatrice start drawing pictures at the same time, how long will they draw before they can complete a picture at the same time?
Answer:
12 minutes
Step-by-step explanation:
alan: 3, 6, 9, 12
beatrice: 4, 8, 12, 16
Both times meet at 12 minutes.
What is the most simplified expression for 4 c squared d + 3 d c minus 2 (d c squared + c d) + 6 c squared d squared?
A. 2 c squared d + d c + 6 c squared d squared
B. 2 c squared d + 5 d c + 6 c squared d squared
C. 3 c squared d + 3 d c + 6 c squared d squared + c d
D. 3 c squared d + 2 d c + 6 c squared d squared minus 2 cd
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
PLEASE SOME1 ANSWER FAST PLS!
Answer:
30.30
Step-by-step explanation:
solve on the calculator
Please help me I need help
Answer:
f(6)=2
f(2)=4
f(0)=7
f(5)=1.5
Step-by-step explanation:
Find the distance between the points (-3, 5) and (7, -1), round the nearest 10th, if nessasary.
Answer:
The answer is 11.7 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3, 5) and (7, -1)
The distance between them is
[tex]d = \sqrt{ ({ - 3 - 7})^{2} + ({5 + 1})^{2} } \\ = \sqrt{( { - 10})^{2} + {6}^{2} } \\ = \sqrt{100 + 36} \: \: \: \: \: \: \: \\ = \sqrt{136} \\ = 2 \sqrt{34} \\ = 11.66190378...[/tex]
We have the final answer as
11.7 units to the nearest tenthHope this helps you
Beth and Pam both did some babysitting in the summer. Pam earned $4 less than 3 times as much as Beth. Together they earned $860. How much money did each person earn babysitting?
======================================================
Work Shown:
B = amount Beth earned
P = amount Pam earned
amounts are in dollars
Pam earned $4 less than 3 times as much as Beth, so,
P = 3B-4
Together they earned $860, meaning
P+B = 860
Plug the first equation into the second. Solve for B
P+B = 860
3B-4+B = 860
4B-4 = 860
4B = 860+4
4B = 864
B = 864/4
B = 216
Use this to find P
P = 3B-4
P = 3*216-4
P = 648-4
P = 644
Beth earned $216 and Pam earned $644.
----------------------------------------
Check:
B+P = 860
216+644 = 860
860 = 860
First equation is true
P = 3B-4
644 = 3*216-4
644 = 644
Second equation is true
Both equations are true when (B,P) = (216,644) so the solutions have been confirmed.
Find abs equation of the line with the given slope that passes through the given point. Write the equation in the from Ax+By=C M=7, (3,3)
Answer: The equation of the line in slope-intercept form will be
y = (7/4)x + b
Since the line passes through the point (8,-2), plug in the values of the point into the equation to find b.
-2 = (7/4)(8) + b
-2 = 14 + b
-16 = b
The equation of the line is
y = (7/4)x - 16
In standard form,
-(7/4)x + y = -16
Multiply both sides of equation by -4.
7x - 4y = -64
Step-by-step explanation: hope this helps :)
PLEASE HELP!!! ILL GIVE BRAINLIEST THIS IS WORTH 20 POINTS PLEASE (ignore where it says 8 &2 points it’s how much the question adds up to in the grade book)
Answer:
x= -3 is the answer
UW=3 is the answer..
hope it helps you mate
please mark me as brainliast
Answer:
From the given figure, we can see that the 2 given line segments are equal in length
Hence,
11 + (x - 5) = 2x - 4
6 + 4 = x
x = 10
Now that we know the value of x, we can use it to get the length of the line segment UW
UW = 11 + (x - 5)
UW = 11 + (10 - 5)
UW = 11 + 5
UW = 16 units
I NEED AN ANSWER ASAP (photo)
Answer:
C
Step-by-step explanation:
A, B, and D equal -4, while C equals 4.
A positive number times/divided by a negative number (or vice versa) is a negative number. A negative number times/divided by a negative number (or vice versa) is a positive number.
What is.. 4x-2=(x+3)+2
Answer:
x = 7/3
Step-by-step explanation:
4x - 2 = x + 3 + 2
4x - 2 = x + 5
Rearranging the terms, we get,
4x - x = 5 + 2
3x = 7
x = 7/3
Hence, x = 7/3.
Simplify 8/-3 divided by -4/9 . (5 points)
A. −8
B. −6
C. 6
D. 8
I'd appreciate if you would help :)
Answer:
6
Step-by-step explanation:
Because 17/12=6
Rick invest $5,830 into a retirement saving account. The account compounds at 3.2% monthly for. How much money will Rick have in 4 years? Show work. Use comma and dollar signs in the final answer.
Answer:
$746.24
Step-by-step explanation:
3.2/100 = 0.032
5,830 X 4 = 23,320
23,320 X 0.032 = 746.24
A submarine dives 20 meters each minute for 15 minutes. What is the total change in depth after 15 minutes?
Answer:
300m
Step-by-step explanation:
20 Times 15=300
y = 7x^3 - 4x^2 + 3x - 12
find the domain step plz
Answer:
The domain is -oo < x < oo or (-oo,oo)
Step-by-step explanation:
Sometimes it helps if you draw this out on a number line or graph the equation! :)
Domain is how far x goes. As in this case x is infinite both ways.
First choice car charged $65 per day and 0.06 per mile. Best rent a car charges $48 per day and .10 per mile. How many miles must be driven in one day to make the costs equal
Answer:
425 miles
Step-by-step explanation:
65+.06m=48+.1m
65=48+.04m
17=.04m
425=m
Classwork
1. A plane flew at a constant speed between Denver and Chicago. It took the
plane 1.5 hours to fly 915 miles. Complete the table.
Time in Hours (x)
Distance in Miles (y)
Constant (3)
1
1.5
915
2
2.5
Hint - Find the constant of proportionality first (y/x=k).
Answer:
Time in hours (x) ==> distance in miles (y)
1 ==> 610
2 ==> 1,220
2.5 ==> 1,525
Note: constant of proportionality is same all through = 610
Step-by-step explanation:
Constant of proportionality = [tex] \frac{y}{x} = \frac{915}{1.5} = 610 [/tex]
To get the y-values (miles) for each given x-value (hours), multiply each x-value by the constant of proportionality, 610. Constant of proportionality is same all through.
Thus,
Time in hours (x) ==> distance in miles (y)
1 ==> 1*610 = 610
2 ==> 2*610 = 1,220
2.5 ==> 2.5*610 = 1,525
8.9+3.47 i really need help
Please help, I’m very confused
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Answer:
A) (-4, 1)
B) graph C
Step-by-step explanation:
A) The point that is in the doubly-shaded area is the solution. The point at (0, 4) is on the dashed line, so is NOT a solution. See the first attachment.
__
B) Look at the given inequalities. You are looking for two things:
which boundary line applieswhich side of that line is shadedHere, you can identify which line goes with which equation a couple of ways. One way is to look at the x- or y-intercept. To find the x-intercept, set y=0 and solve for x. For the first equation, that gives ...
2x ≥ -1
x ≥ -1/2
The steep line, the one that intersects the top of the graph, is the one that has an x-intercept at x = -1/2. You will also note that the solution x ≥ -1/2 means the shading is to the right of that line. (Only graphs C and D have shading to the right of that line.)
For determining which side of the line is shaded, it is useful to pick a variable term with a positive coefficient. For the second inequality, that is 2x. Considering only that term and the relationship in the inequality, we see that we have 2x ≤. This means values of x that are in the solution set are less than (or equal to) those on the boundary line. In other words, shading is to the left of the line with the shallow slope. This is true only for graphs A and C. We have already eliminated graph A, so the desired graph is C.
See the second attachment for what we're talking about here.
prove cosec 2x + cot 2x = cot x
csc(2x) + cot(2x) = 1 / sin(2x) + cos(2x) / sin(2x)
csc(2x) + cot(2x) = (1 + cos(2x)) / sin(2x)
csc(2x) + cot(2x) = (1 + cos(2x)) / (2 sin(x) cos(x))
csc(2x) + cot(2x) = cos²(x) / (sin(x) cos(x))
csc(2x) + cot(2x) = cos(x) / sin(x)
csc(2x) + cot(2x) = cot(x)
PLEASE HELP!!! ILL GIVE BRAINLIEST THIS IS WORTH 10 POINTS PLEASE (ignore where it says 8&2 points it’s how much the question adds up to in the grade book)
Answer:
Since the points X , Y and Z are collinear:
For the diagram, you just have to draw a line and mark the end-points of the line as X and Z and mark the mid-point of the line as Y
Since we are given that XY = YZ,
We will replace with the provided values:
XY = YZ
4(x + 5) = 2(x + 11)
4x + 20 = 2x + 22
2x = 2
x = 1
Since x = 1 and XY = YZ,
We can say that:
XZ = XY + YZ
XZ = XY + XY or XZ = 2XY
Now, replacing the variables for the value of XZ
XZ = 2XY
XZ = 2(4x + 20)
XZ = 2(4 + 20) (Since x = 1)
XZ = 48 units
What is the solution of 12(2z + 1) = 3(8z + 4)
Answer:
0
Step-by-step explanation:
24z + 12 = 24z + 12
0z = 0
0
Answer:
many solutions or infinite solutions
Step-by-step explanation:
12(2z + 1) = 3(8z + 4)
ok simplify it
24z + 12 = 24z + 12
there's many solutions no matter what you do you'll end out in this
For which pairs of functions is (fog)(x) = ?
Answer:
(fog)(x) = f(x)g(x) = x^2 * 1/x = x
On Day 16 (in Segment 5), Ebony deposited $100 into her account. On each day after Day 16 (Segment 6) Ebony made a deposit, and those deposits were equal to each other.
(a) Explain how you can determine, just by looking at the graph, whether the amounts she deposited after Day 16 were each less than, equal to, or greater than $100.
(b) Use the graph to estimate B(21) in hundreds. Explain how you determined this estimate. Then, show how you can estimate the amount of money Ebony deposited into her account each day after Day 16.
Answer:
A)
Less than $100
B)
[tex]B(21)=300[/tex]
For each day after Day 16, Ebony deposited $40.
Step-by-step explanation:
We know that on Day 16 she deposited $100 into her account.
And each day after Day 16, she made a deposit and each deposit were equal to each other.
So, let's answer each of the questions using the available information.
Part A)
Notice that the 5th Segment starts and ends with the 5th to the 6th Point. The 6th Point represents the 16th Day, where B(16)=100.
We want to know whether or not each of her deposits after Day 16 were less than, equal to, or greater than $100.
We can immediately conclude that it must be less than $100 because we can see that the slope of the 6th Segment is less steep than the slope of the 5th Segment.
Since it is less steep, this means that the unit rate of change from each day after Day 16 is less than the unit change on Day 16, which is $100/day.
So, the each of the deposits made after Day 16 is less than $100.
Part B)
We want to estimate B(21) in hundreds.
Remember that Ebony's maximum balance is $400.
Also, recall that the first point is $200.
B(21), the 7th Point, seems to be between the 2nd/3rd Point and the 1st Point.
So, it is reasonable to say that at the 21st Day, her account balance was (200+400)/2=600/2=$300.
We know that at Day 16, her account balance was $100. So, we have the point (16, 100).
And at Day 21, her account balance is $300. So, (21, 300).
Since each deposit after Day 16 is the same, it has a constant rate of change. So, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (16, 100) be (x₁, y₁) and let (21, 300) be (x₂, y₂). Substitute them into the slope formula. This yields:
[tex]m=\frac{300-100}{21-16}[/tex]
Subtract and divide. So:
[tex]m=\frac{\$200}{5\text{ days}}=\$40\text{/day}[/tex]
So, for each day after Day 16, Ebony deposited $40.
And we're done!
Which power does this expression simplify to?
[(7^5)(7^3)]^-4
Answer:
1/7^32
Step-by-step explanation:
when multiplying two bases with different exponents, you keep the base and add the exponents, making the first step of this (7^5)(7^3)=7^8
but when you multiply a base and exponent by just an exponent, you keep the base and multiply the exponents, making the second step 7^8(^-4)=7^-32
you cannot have a negative exponent, and would therefore turn it into a fraction with the base and exponent at the bottom, making your final answer 1/7^32