Answer:
h = -4
Step-by-step explanation:
3(h+6) = 2(-5-2h) Solve for h.
Apply distributive property first on both sides.
3(h+6) = 2(-5-2h)
3h+18 = -10-4h
Next, put the terms with h on one side and the numbers on the other.
3h+18 = -10-4h
7h = -28
Divide both sides by 7 and you have your answer.
7h = -28
h=-4
Answer:
-4
Step-by-step explanation:
First, expand the brackets by multiplying the left bracket all by 3 and the right all by 2. This gives 3h+18=-10-4h.
You want h all on one side, so add 4h to both sides, leaving 7h+18=-10.
Subtract 18 on both sides to leave only h and the coefficient on the left. This gives 7h=-28.
Dividing both sides by 7 isolates the x and gives h=-4.
**This question involves solving algebraic equations, which you may want to revise. I'm always happy to help!
What is 2 log 5 + 5 log x written as a single logarithm?
Answer:
log (25 x^5)
Step-by-step explanation:
2 log 5 + 5 log x
We know alog b = log b^a
log 5^2 + log x^5
We know log a + log b = log (a*b)
log ( 5^2 * x^5)
5^2 = 25
log (25 x^5)
Answer:
log ( 25x⁵)
Step-by-step explanation:
2log5 + 5log xuse a×log × b = log b^a to transform the expression.
log 5² + log c⁵use log x + log y = log ( x×y ) to simplify the expression
log ( 5² x⁵)Evaluate the power
log ( 25x⁵)HELP ASAP!! ILL MARK BRAINLIEST! David recorded the ages, in years, of the members of four high school clubs. Each club has the same number of members. A brief description of David’s data is shown.
Music Club: This club has the same number of members older than 16 and younger than 16.
Physics Club: This club has the greatest number of older members.
Sports Club: This club has the greatest number of younger members.
History Club: This club has the oldest member enrolled.
David then made box plots showing his data. Match the labels of the clubs to the box plots. Drag and drop each club into the indicated rectangles.
Answer:
for the music blue the median would be in the middle
for the physics the upper quartile would be the farthest right
for the sports the lower quartile would be the farthest left
for the history the line would go the farthest right
Please answer right away
An art teacher and a math teacher challenge students in the eighth-grade class to make designs for note cards to sell as a class fundraiser. The rule is that each design needs to be created from congruent figures. Also, students need to
explain how their design follows the rule. Taryn says she used transformations to make her design. Which sequence of transformations maps Figure A onto Figure C?
What sequence of transformations maps Figure A onto Figure D?
Answer:
A to C
rotated 180° around the orign
Aand D
rotated 270° clockwise, or 90° counterclockwise, also around the orign
Which equation represents y = x2 + 12x + 27 in vertex form?
y = (x + 6)2 − 9
y = (x + 6)2 + 21
y = (x + 6)2 + 9
y = (x + 6)2 + 27
Answer:
y = (x + 6)² - 9Step-by-step explanation:
Complete the square:
y = x² + 12x + 27
= x² + 2*6*x + 6² - 6² + 27
= (x + 6)² - 36 + 27
= (x + 6)² - 9
Correct choice is A
find the remainder
PLSS HELP!
Answer:
The remainder is 24
Step-by-step explanation:
[tex]\frac{3x^4-2x^2+5x-6}{x+2}=[/tex]
[tex]3x^3+\frac{-6x^3-2x^2+5x-6}{x+2}=\\[/tex]
[tex]3x^3-6x^2+\frac{10x^2+5x-6}{x+2}=[/tex]
[tex]3x^3-6x^2+10x+\frac{-15x-6}{x+2}=[/tex]
[tex]3x^3-6x^2+10x-15+\frac{24}{x+2}[/tex]
Therefore, the remainder is 24.
Please helpppp for tan need help quick
Answer:
8/15Step-by-step explanation:
according to the Pythagoras theorem ,
SohCahToa
Soh - sine is opposite , hypotenuse
Cah -cos is adjacent , hypotenuse
Toa - tan is opposite, adjacent
from the diagram above , the tan is 8/15.
Hope this is helpful ,
have a nice day :-)
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 436 gram setting. It is believed that the machine is underfilling the bags. A 28 bag sample had a mean of 433 grams with a standard deviation of 23. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
There is no sufficient evidence
Step-by-step explanation:
The hypothesis :
H0 : μ = 436
H1 : μ < 436
Xbar = 433
s = 23
Sample size, n = 28
The test statistic :
(xbar - μ) ÷ (s/√(n))
(433 - 436) ÷ (23/√(28))
-3 ÷ 4.3465914
Test statistic = - 0.690
The Pvalue, calculated from test statistic value, df = n - 1 = 28 - 1 = 27
Pvalue = 0.248
Pvalue > α ; Hence, we fail to reject the null and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
Write an equation in slope-intercept form for the line with slope -1/3 and y intercept 2
Answer: y=-1/3x+2
Step-by-step explanation: The formula for slope intercept form is y=mx+b, where m is equal to the slope and b is equal to the x-intercept. Just fill in the values to get y=-1/3x+2
Bobby has been working at a lemonade stand for quite some time. He initally paid $80 dollars to make the stand. Each lemonade Bobby sells, nets him a $0.25 profit. How much money does bobby have now after selling his 400th lemonade?
Answer:
80=0.25x
0.25(400)=80
100=80
$20= profit
Step-by-step explanation:
Use an algebraic approach to solve the problem.
Abby has 37 coins, consisting only of dimes and quarters, worth $5.65. How many dimes and how many quarters does she have?
Answer:
13 quarters and 24 dimes
Step-by-step explanation:
13*.25=3.25
24*.1=2.4
3.25+2.4=5.65
Which is the graph of f(x) = (x + 3)(x - 2)?
Ty
2
4
8
o
- 4 2
4
HELP IM BEING TIMED
Answer:
the too left graph us the abswer,
Because
f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2
The graph of the function f(x) = (x + 3)(x - 2) is first graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.
First, to find the x-intercepts, we set y = 0 and solve for x:
(x + 3)(x - 2) = 0
This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.
Next, to find the y-intercept, we set x = 0 and evaluate:
f(0) = (0 + 3)(0 - 2) = -6
Therefore, the y-intercept of the graph is -6.
The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.
This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other
Hence, the graph of the function f(x) = (x + 3)(x - 2) is first graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
Jane is saving her money in order to purchase a new racing bike. She initially saves $3 and plans to double the amount she saves each month. The bike Jane wants is $1,536 at the local bike shop.
Which equation represents this situation, and after how many months, t, will Jane have enough money to purchase the bike?
A.
3(2)t = 1,536; t = 9
B.
(3 · 2)t = 1,536; t = 9
C.
3(2)t = 1,536; t = 11
D.
3(1.2)t = 1,536; t = 35
Answer:
D
Step-by-step explanation:
What is the constant of 8x^2-7x+6
Answer:
6 is the constant
Step-by-step explanation:
8x^2-7x+6
The constant is the term that does not change ( the one with out the variable)
6 is the constant
(3x^2+x)(5x^3-2x^2+7)
Answer:
15x5−x4−2x3+21x2+7x
Step-by-step explanation:
=(3x2+x)(5x3+−2x2+7)
=(3x2)(5x3)+(3x2)(−2x2)+(3x2)(7)+(x)(5x3)+(x)(−2x2)+(x)(7)
=15x5−6x4+21x2+5x4−2x3+7x
=15x5−x4−2x3+21x2+7x
help me plesse how do i solve this multi step equation?
Answer:
h = -34/3
Step-by-step explanation:
7h +8 = 4h - 26
Subtract 4h from each side
7h-4h +8 = 4h-4h - 26
3h+8 = -26
Subtract 8 from each side
3h+8-8 = -26-8
3h = -34
Divide by 3
3h/3 = -34/3
h = -34/3
Answer:
h = - [tex]\frac{34}{3}[/tex]
Step-by-step explanation:
Given
7h + 8 = 4h - 26 ( subtract 4h from both sides )
3h + 8 = - 26 ( subtract 8 from both sides )
3h = - 34 ( divide both sides by 3 )
h = - [tex]\frac{34}{3}[/tex]
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
Recall that the product (a + b)(a - b) is the
difference of squares, a2 - b2
Examine this same product for radical
expressions. Choose the product of (3+ square root of 7)(3- square root of 7)
Answer:
The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])
Step-by-step explanation:
With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².
In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².
Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].
**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!
The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
The difference of squares equation is given as:
[tex](a + b)(a - b) = a^2 -b^2[/tex]
And the radical expression is given as:
[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]
By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:
[tex]a =3[/tex]
[tex]b = \sqrt 7[/tex]
Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]
[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]
This gives
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]
By complete expansion, we have:
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
Hence, the equivalent expression is (c)
Read more about difference of two squares at:
https://brainly.com/question/3189867
What is the slope of the line that is perpendicular to the line that passes through (-3, 6) and (6, 8)?
Answer:
2/9
Step-by-step explanation:
y2 - y1 / x2 - x1
8 - 6 / 6 - (-3)
2 / 9
= 2/9
PLEASE ANSWER 20 POINTS!
Answer:
Base - 7 yards
Height - 10 yards
Area - 35 square yards
Step-by-step explanation:
By definition, the base and height must be perpendicular. Technically, they are interchangeable, but base usually refers to the relative bottom of a figure.
The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex].
Therefore, we have:
[tex]A=\frac{1}{2}\cdot 7\cdot 10=\boxed{35\:\text{square yards}}[/tex]
Can someone help me? It's urgent and thank you!
Answer:
35
Step-by-step explanation:
These 3 vacancies aren’t distinct. That means if Amy, Bob, and Carla were chosen, it is the same as Bob, Carla, and Amy are chosen and so on.
Therefore, we will use “choose.”
Solving, I get 7!/((7-3)!3!) = 7!/(4!3!) = (7*6*5)/(3*2*1) = 35.
I hope this helps! :)
can yall please help me, try to explain in steps, tyy
Answer:
b. would be the answer bc it goes in a line if you were to connect the dots
What is the missing variable???
HELP:Joyce is dividing into the water. Let the t represent time in seconds and the
h represent height in feet. Her dive is modeled by the equation:
h
-t2 + 10t + 19
You must show all your work on the scratch paper to receive full credit.
1. What is the height of the dividing board where Joyce is standing?
2. How many seconds will it take the diver to reach the maximum height?
3. How high is the maximum height of the diver?
EXPLAIN
Answer:
Part 1)
The height of the diving board is 19 feet.
Part 2)
Five seconds.
Part 3)
44 feet.
Step-by-step explanation:
Joyce's dive is represented by the equation:
[tex]h=-t^2+10t+19[/tex]
Where h represents her height (in feet) after t seconds.
Part 1)
Joyce is on the diving board right before she jumps. Therefore, to find the height of the diving board, we can let t = 0, since this is before she had jumped. Hence:
[tex]h(0)=-(0)^2+10(0)+19=19\text{ feet}[/tex]
The height of the diving board is 19 feet.
Part 2)
Since this is a quadratic, the maximum height will occur at its vertex point.
So, we need to find the vertex. We can use the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -1, b = 10, and c = 19.
So, the t-coordinate of the vertex is:
[tex]\displaystyle t=-\frac{(10)}{2(-1)}=5\text{ seconds}[/tex]
Joyce will reach her maximum height after five seconds.
Part 3)
To find the maximum height, simply substitute this value back into the equation. Hence:
[tex]h(5)=-(5)^2+10(5)+19=44\text{ feet}[/tex]
So, her maximum height is 44 feet in the air.
how many sides does a 1,260 degree polygon have?
Directions: Factor, write prime if prime
Q: 12x^2-9x+15
Someone help and QUICK!!!
Answer:
2x^2-9x+15
It is prime/unfactorable
Step-by-step explanation:
(4,-5) reflected over y = x
ASAP work pls answer
If the sum of three consecutive integers is 36 what is the smallest integer?
Answer:
The smallest integer is 11.
Step-by-step explanation:
Let the first integer be x.
Then the second will be (x + 1) and the third will be (x + 2).
The sum is 36. Hence:
[tex]x+(x+1)+(x+2)=36[/tex]
Solve for x:
[tex]3x+3=36[/tex]
So:
[tex]3x=33[/tex]
Hence:
[tex]x=11[/tex]
Our sequence is 11, 12, 13.
So, the smallest integer is 11.
For the acute angles in a right triangle,
sin(5x)° = cos(3x + 10)°. What is the number of degrees in the measure of the smaller angle?
Answer:
answer for this solution is 10 degrees
Step-by-step explanation:
sin x + cos x = 90
5x + 3x +10 = 90
x = 10
the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of 15 km, the charge paid is 155. How much does a person have to pay for traveling a distance of 25 km?
Answer:
255
Step-by-step explanation:
total cost paid = fixed cost + total variable cost
total variable cost = distance travelled x variable cost per unit
two equations can be derived from the question
a + 10b = 105 equation 1
a + 15b = 155 equation 2
a = fixed cost
b = variable cost per unit
Subtract equation 1 from 2
5b = 50
b = 10
Substitute for b in equation 1
a + 10(10) = 105
a = 105 - 100 = 5
a = 5
cost of travelling a distance of 25km
5 + 10(25) = 255
