Answer:
12x^2 + 28x = 0
3x^2 + 7x = 0
x(3x+7)=0
x=0 or
3x+7=0
3x= - 7
x= - 7/3
Answer:
4x(3x + 7)
Step-by-step explanation:
Given
12x² + 28x ← factor out 4x from each term
= 4x(3x + 7) ← in factored form
what is the LCD for 1/6 + 7/8
Answer:
1/6 + 7/8
6 and 8's LCD is 24.
1(4)/6(4) + 7(3)/8(3)
=4/24 + 21/24
=25/24
What is the smallest number that is divisible by 6 and 8 evenly?
What about 24?
24/6 = 4
24/8 = 3
LCD = 24
Please help. Need answer asap. plz answer ASAP
T^T
x/-9 ≥ 3
To solve for x, multiply both sides by -9
x ≥ 3 *-9
Because the number is negative reverse the inequality sign.
x ≤ -27
solution of (4x– 16) 3 = 36
Answer:
x = 7
Step-by-step explanation:
The photo should show you how to do it.
which equation represents the line that is parallel to 3x-4y=7
Answer:
Option B (3x - 4y = -4).
Step-by-step explanation:
Parallel lines are the straight lines that never meet. This is only possible when the gradients of both the lines are same. This means that the slopes of all the parallel lines in a group can be calculated by calculating the slope of one of the lines. Therefore, the slope of the line that is parallel to the line 3x-4y=7 is the same as the original line. Hence, the gradient can be extracted from the original line by converting the equation in the form y=mx+c, where m is the slope.
3x - 7 = 4y.
y = (3/4)x - 7/4.
The slope of the line which has to be found is 3/4 and it passes through (x0, y0) = (-4, -2). Using the following formula:
(y - y0) = m*(x - x0).
(y + 2) = (3/4)*(x + 4)
Cross multiplying:
4y + 8 = 3x + 12.
3x - 4y = -4.
Hence, Option B is the correct choice!!!
What is the length of AC? Round to the nearest thenth
Answer:
Could you repost and attach a picture to go along with your problem?
Type the correct answer in each box. Use numerals instead of words. If Necessary, use / for the fraction bars. Consider the equation below.
-2(bx-5)=16
The Value of x in terms of b is ______
The Value of x when b is 3 is _______
Answer:
x = -3/b
x = -1
Step-by-step explanation:
-2(bx-5)=16
Divide each side by -2
-2(bx-5)/-2=16/-2
bx-5 = -8
Add 5 to each side
bx-5+5 = -8+5
bx = -3
Divide each side by b
bx/b = -3/b
x = -3/b
If b = 3
x = -3/3
x = -1
Answer:
-3/b; -1
Step-by-step explanation:
A. Solve the equation
[tex]\begin{array}{rcr}-2(bx - 5) & = & 16\\bx - 5 & = & -8\\bx & = & -3\\x & = & \boxed{\mathbf{-3/b}}\\\end{array}[/tex]
B. Value when b = 3
[tex]\begin{array}{rcr}x & = & -3/3\\x & = & \boxed{\textbf{-1}}\\\end{array}[/tex]
The graph below have the same shape what is the equation of the blue graph ?
Answer:
c
Step-by-step explanation:
answers is c because the line matches the equation
Answer:
D
Step-by-step explanation:
The blue graph is the same as the red one except that it was formed by translating the red graph 3 units to the left. Thus, D is the correct formula.
Solve 7x − 6 > 8 and 3x + 4 ≥ 22 for x.
Answer:
x ≥ 6
Step-by-step explanation:
Lets solve the first inequality:
7x - 6 > 8
7x > 8 + 6
7x > 14
x > 14/7
x > 2
And now the second inequality:
3x + 4 ≥ 22
3x ≥ 22 - 4
3x ≥ 18
x ≥ 18/3
x ≥ 6
So, from the 2 answers, which region is overlapping ?? x ≥ 6
So this is the solution.
Note: we disregard x from 2 to 6 because that region is ONLY solution to the first one
A stereo salesman whose base pay plus commissions amounted to $37,625
last year earned a commission of 16.5% on each stereo sold. If each stereo
he sold cost $1500 and if his base pay was $33,170, how many stereos did
the salesman sell last year?
A. 17
B. 15
C. 18
D. 16
(APEX ANSWER) (you can answer anyways to rack up points but i mostly posted bc i dident see it when i looked for it)
Answer:
18
Step-by-step explanation:
thanks..
..
Answer:
C. 18
Step-by-step explanation:
Let x represent number of stereos.
We have been given that a salesman sold each stereo for $1500. He earned a commission of 16.5% on each stereo sold.
The amount of commission earned on each stereo would be 16.5% of 1500.
[tex]1500\times \frac{16.5}{100}=15\times 16.5=247.5[/tex]
The amount of commission earned on x stereos would be [tex]247.5x[/tex].
We are told his base salary is $33,170, so total salary of salesman would be [tex]247.5x+33,170[/tex].
We are also given that last year he earned $37,625. We can represent this information in an equation as:
[tex]247.5x+33,170=37,625[/tex]
[tex]247.5x+33,170-33,170=37,625-33,170[/tex]
[tex]247.5x=4455[/tex]
[tex]\frac{247.5x}{247.5}=\frac{4455}{247.5}[/tex]
[tex]x=18[/tex]
Therefore, the salesman sold 18 stereos last year.
if f(x) = x+8 and g(x) = 4x- 3, find (f+g)(x)
[tex](f+g)(x)=x+8+4x-3=5x+5[/tex]
Yvette earns a $45,000 salary plus a 12% commission on any sales over $10,000. Last year Yvette made $30,000 in sales. How much did Yvette earn in salary plus commission ?
She earns commission on the amount of sales over $10,000
Subtract 10,000 from her sales to get the amount she earns commission on:
30,000 - 10,000 = 20,000.
multiply that by the percent:
20,000 x 0.12 = 2400
She earned $2,400 in commission.
Now add that to her salary to find her total pay:
45,000 + 2,400 = $47,400
Answer:
$47,400.
Step-by-step explanation:
We have been given that Yvette earns 12% commission on any sales over $10,000. Last year Yvette made $30,000 in sales.
The amount on which Yvette will get commission would be [tex]\$30,000-\$10,000=\$20,000[/tex].
Since Yvette gets 12% commission, so amount earned as commission would be 12% of $20,000.
[tex]\text{Commission}=\$20,000\times \frac{12}{100}[/tex]
[tex]\text{Commission}=\$20,000\times 0.12[/tex]
[tex]\text{Commission}=\$2,400[/tex]
Yvette also gets a salary of $45,000, so Yvette's total earnings would be $45,000 plus $2,400.
[tex]\text{Yvette's total earnings}=\$45,000+\$2,400[/tex]
[tex]\text{Yvette's total earnings}=\$47,400[/tex]
Therefore, Yvette's earned $47,400 in salary plus commission.
Simplify into one fraction 3/x-3 - 5/x-2
Answer:
[tex] \frac{3}{x - 3} - \frac{5}{x - 2} = \frac{3(x - 2) - 5(x - 3)}{(x - 3)(x - 2)} = \frac{3x - 6 - 5x + 15}{(x - 3)(x - 2)} = \frac{9 - 2x}{(x - 3)(x - 2)} [/tex]
To simplify the expression 3/x-3 - 5/x-2 into one fraction, you need to find a common denominator. The simplified expression is (-2x+9) / [(x-3)(x-2)].
Explanation:To simplify the expression 3/x-3 - 5/x-2 into one fraction, we need to find a common denominator.
The denominator of the first fraction is x-3 and the denominator of the second fraction is x-2.
The common denominator will be (x-3)(x-2) since that is the product of the two denominators.
Multiplying the numerator and denominator of the first fraction by (x-2) and the numerator and denominator of the second fraction by (x-3), we get:
[(3)(x-2)] / [(x-3)(x-2)] - [(5)(x-3)] / [(x-3)(x-2)]
= (3x-6) / [(x-3)(x-2)] - (5x-15) / [(x-3)(x-2)]
Now that we have a common denominator, we can combine the terms in the numerator:
(3x-6 - 5x+15) / [(x-3)(x-2)] = (-2x+9) / [(x-3)(x-2)]
Therefore, the simplified expression is (-2x+9) / [(x-3)(x-2)].
25POINTS!!Which expression is equivalent to 3 x 5 x 5 x 5 x 5 X 5 X 5?
15^6
15^7
3(5)^6
3(5)^7
Answer:
the third one
Step-by-step explanation:
count your factors of 5... I count 6
so the only answer that says you have a factor of 3 and 6 factors of 5 is the third one
Question 3 of 10
The two cones below are similar. What is the height of the smaller cone?
оооо
What is the following product?
ANSWER
[tex]6 \sqrt{6} [/tex]
EXPLANATION
The given product is
[tex] \sqrt{12} \times \sqrt{18} [/tex]
We rewrite to get;
[tex] \sqrt{4 \times 3} \times \sqrt{9 \times 2} [/tex]
We split the radical sign to get:
[tex]\sqrt{4 } \times \sqrt{3} \times \sqrt{9} \times \sqrt{2} [/tex]
The perfect squares simplifies to:
[tex]2\sqrt{3} \times 3 \sqrt{ 2} [/tex]
This gives us :
[tex]2 \times 3 \sqrt{3 \times 2} [/tex]
This simplifies to;
[tex]6 \sqrt{6} [/tex]
PLEASE HELP I AM VERY STUCK.
If the following line segment is reflected across y=x what are the coordinates of the new endpoints?
A. (-6, 1) and (-2, 3)
B. (6, -1) and (2, -3)
C. (-1, -6) and (-3, -2)
D. (1, -6) and (3, -2)
Which ordered pairs are on the line with equation y + 6.75 = 0.25( x - 1)
Answer:
(1, - 6.75 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 6.75 = 0.25(x - 1) ← is in point- slope form
with m = 0.25 and (a, b) = (1, - 6.75) ← point on line
Answer:
(1, - 6.75 )
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 6.75 = 0.25(x - 1) ← is in point- slope form
with m = 0.25 and (a, b) = (1, - 6.75) ← point on line
What is the measure in degrees of angle 3
Answer: There is no picture ?
Step-by-step explanation:
Help me I need to pass so I can go on to the next thing plz someone help me. Will give brainliest!!
Please help.. Marking Brainliest...
The last one has those projections.
Hope this helps.
r3t40
Answer:
D
Step-by-step explanation:
its the only one that has to triangles on top and rectangles on the sides
Which equation can be used to find 30 percent of 600?
A)600/100=3600/600
B)30/100=180/600
C)100/30=2000/600
Answer:
B
Step-by-step explanation:
Answer: 180/600
Step-by-step explanation: 100x6=600 and 30x6=180
PLEASEEEEEE HELPPPPP MEEEEEEEEEE
Answer:
45.2 MB
Step-by-step explanation:
19.3% is equivalent to [tex]\frac{19.3}{100}[/tex]
Given that the total size of the file is 234 MB and only [tex]\frac{19.3}{100}[/tex] has been downloaded,
number of MB downloaded,
= [tex]\frac{19.3}{100}[/tex] x 234 MB
= 45.162 MB
= 45.2 MB (rounded off to nearest tenth)
Answer:
45 megabytesStep-by-step explanation:
First, you convert 19.3 to a decimal. That is 0.193. Then, you multiply 0.193 and 234 to get 45.162 megabytes. Since it is asking for the number of megabytes, you will have to round it and get 45 megabytes.
Need answer NOW!!!! What are the solutions to the system of equations?
x^2+y^2=5
y=2x
( a0, 2)and ( a1, a2)
Answer:
The solution of the system of equations are the points (1,2) and (-1,-2)
a0=1, a1=-1,a2=-2
Step-by-step explanation:
we have
[tex]x^{2} +y^{2}=5[/tex] ----> equation A
This is the equation of a circle centered at the origin
[tex]y=2x[/tex] ----> equation B
This is the equation of a line, that passes through the origin (a direct variation)
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection points both graphs
using a graphing tool
The intersection points are (1,2) and (-1,-2)
see the attached figure
therefore
The solution of the system of equations are the points (1,2) and (-1,-2)
a0=1, a1=-1,a2=-2
How much would $500 invested at 8% interest compounded continuously be
worth after 3 years? Round your answer to the nearest cent.
Answer:
[tex]\$635.62[/tex]
Step-by-step explanation:
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=3\ years\\ P=\$500\\ r=0.08[/tex]
substitute in the formula above
[tex]A=\$500(e)^{0.08*3}[/tex]
[tex]A=\$635.62[/tex]
Which function is increasing and has a constant slope?
Answer:
We need to find the increasing function with constant slope.
Let us check each option one by one.
A) 6x -5y =10.
Let us solve it for y to get slope-intercept form
6x-5y =10.
-5y =-6x +10.
y =6/5 x-2.
Slope is 6/5 positive, therefore, it's an increasing function.
A linear function always has a constant slope.
Therefore, correct option is option A.
A. 6x -5y =10
All other options are incorrect.
Step-by-step explanation:
Please mark brainliest and have a great day!
Find the cube root of 857375 by prime factorization method
Answer:
9
Step-by-step explanation:
3root^857375
Answer:
95
Step-by-step explanation:
The product of the prime factors of 857375 are
5 × 5 × 5 × 19 × 19 × 19 ← express as combination of pairs
= (5 × 19) × (5 × 19) × (5 × 19)
= 95 × 95 × 95 = 95³
Hence
[tex]\sqrt[3]{857375}[/tex] = [tex]\sqrt[3]{95^{3} }[/tex] = 95
Find the equation of the circle whose center and radius are given.
center (0,8), radius = 8
Answer:
[tex]x^2 +(y-8)^2=64[/tex]
Step-by-step explanation:
The equation of the circle with center at point [tex](x_0,y_0)[/tex] and radius r is
[tex](x-x_0)^2+(y-y_0)^2=r^2[/tex]
In your case,
[tex]x_0=0[/tex][tex]y_0=8[/tex][tex]r=8[/tex]So, the equation of the circle with center at (0,8) and radius r=8 is
[tex](x-0)^2+(y-8)^2=8^2\\ \\x^2 +(y-8)^2=64[/tex]
Answer: x² +( y - 8 )² =64
Step-by-step explanation: happy to help :)
Add three hundreds to 85,670
Answer:
300+85670=85970
Answer:
85,970
Step-by-step explanation:
This is simple, just add 300 or 3 hundreds to 85,650 on a calculator to get 85,970. 6 + 3 = 9.
Three ounces of cinnamon cost $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.)
5,280 feet = 1 mile
Answer:
80¢\lb.; 58 667\1000 ft.\sec.
Step-by-step explanation:
Divide the cost by three; multiply 40 by 1.466675.
solve -3(-8b+7)=3(2b-1)
Answer: [tex]b=1[/tex]
Step-by-step explanation:
Given the equation [tex]-3(-8b+7)=3(2b-1)[/tex] you need to solve for the variable "b".
You need to apply Distributive property on both sides of the equation:
[tex]-3(-8b+7)=3(2b-1)\\\\24b-21=6b-3[/tex]
Now you need to add 21 to both sides of the equation:
[tex]24b-21+21=6b-3+21\\\\24b=6b+18[/tex]
Subtract [tex]6b[/tex] from both sides:
[tex]24b-6b=6b+18-6b\\\\18b=18[/tex]
And finally, you can divide both sides of the equation by 18:
[tex]\frac{18b}{18}=\frac{18}{18}\\\\b=1[/tex]
Answer:
b=1
Step-by-step explanation:
You first need to multiply -3 and -8b. That will be 24b. Then you multiply -3 times 7. That will be -21. On the other side, you will multiply 3 times 2b which will equal 6b. Then you multiply 3 by -1. You will get -3. So at this point, the equation should look like this, 24b-21=6b-3. Then add 21 to both sides. You will have this equation, 24b=6b+18. Then subtract 6b from both sides, 18b=18. Finally, divide 18 from both sides to get your final answer of b=1.