Given:
Multiply: [tex](3x-5)(-x+4)[/tex].
To find:
The simplified product in standard form.
Solution:
We have,
[tex](3x-5)(-x+4)[/tex]
Applying the distributive property, the expression becomes
[tex]=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)[/tex]
[tex]=(-3x^2)+12x+5x+(-20)[/tex]
On combining like terms, we get
[tex]=-3x^2+(12x+5x)-20[/tex]
[tex]=-3x^2+17x-20[/tex]
Therefore, the simplified product in standard form is [tex]-3x^2+17x-20[/tex].
There are 15 students in the Drama Club and 7 students in the Speech and Debate Club. What is the ratio of Drama Club members to Speech and Debate Club members?
Answer: The answer is 15:7
Answer:
15:7
Step-by-step explanation:
Convert the temperature equivalent to 30 degrees Celsius to degrees Fahrenheit, using the formula F = 1.8C + 32 *
Answer:
86°F
Step-by-step explanation:
Plug in 30 as C in the formula:
F = 1.8C + 32
F = 1.8(30) + 32
F = 54 + 32
F = 86
So, the answer is 86°F
I need help with solutions
Answer:
10. b 11. b 12. b 13. a 14. b 15. b 16. a 17. a 18. b 19. a 20. a 21. b
Step-by-step explanation:
I'm pretty sure they are all right
Please help photo attached
Answer:
C
Step-by-step explanation:
conjugate just changes the sign of the radical (but nothing else)
The students in Miss Jackson's class are collecting pennies they decide to displayed in his facts of 10 how many stacks can they make with 345 pennies how many single pennies will they have left
Answer:
34 stacks with 5 pennies left
Step-by-step explanation:
345 / 10 = 34.5
10 * 34 = 340
345 - 340 = 5
Factor the expression to fill in the blank:
24 + 32 = (3 + 4)
Answer:
8
Step-by-step explanation:
Find (f+g)(x) and (f-g)(x)
f(x)=2x+7 g(x)=5x-4
Answer:
for (f+g)(x): 7x + 3; x = -3/7
for (f-g)(x): -3x - 3; x = -1
Step-by-step explanation:
(f+g)(x) = (2x+7)+(5x-4)
Eliminate parentheses.
2x + 7 + 5x -4
Combine like terms.
7x + 3
If you are solving for x, move the 3 to the other side.
7x = -3.
Then divide each side by 7.
x = -3/7
(f-g)(x) = (2x+7) - (5x -4)
Distribute the negative.
(2x+7) + (-5x+4)
Eliminate parentheses.
2x + 7 - 5x - 4
Combine like terms.
-3x -3
If you are solving for x, move the -3 to the other side.
-3x = 3
Then divide each side by -3.
x = -1.
Why should we wear rubber gloves on our hands while working with electricity?
Answer:
a simple answer would be that rubber doesnt conduct electricity, so by wearing it you are at a substantially lower risk of being insured by electricity. This is also why people who work with electricity wear rubber soled boots.. to prevent grounding and ultimately, to prevent getting electrocuted. hope this helps :)
Answer:
if you don't wear rubber gloves, there will be a chance of you being electrocuted. Rubber gloves don't let any electricity to go through, so your body can stay safe.
Hope this helps.
Step-by-step explanation:
ANSWER WUICK WILL.MARK BRANLIEST The ratio of North American Butterflies to South American butterflies at a butterfly park is 8:5. The ratio of
South American butterflies to European butterflies is 5:2. There are 80 North American butterflies at the
butterfly park.
How many european butterflies are there
Answer:
There are 20 European Butterflies.
Step-by-step explanation:
To determine the number of European Butterflies in the park, knowing that there are 80 North American Butterflies there, and that the ratio of each species is 8: 5 for North American and South American butterflies, and 5: 2 for South American and European butterflies, it must be done the following logical reasoning:
Given that there are 8 North American butterflies for every 5 South American, and 5 South American for every 2 European, it could be said that there are 8 North American butterflies for every 2 European (8: 2).
Thus, if there were 80 North American butterflies, the number of European butterflies in the park would be 20.
5. Si un paquete de 100 hojas iguales mide 1 cm de altura, ¿cuál
es el grosor de una hoja?
Responder:
0,01 cm
Explicación paso a paso:
Dado que :
Un paquete de 100 hojas iguales = 1cm de alto
Esto significa que el grosor del paquete es de 1 cm de alto.
Dado que las hojas son iguales, el grosor de una sola hoja será:
(Espesor del paquete completo / número de hojas en el paquete)
(1 cm / 100)
= 0,01 cm
Usando proporciones, se encuentra que el grosor de una hoja es de 0.01 cm.
Esto problema é solucionado por proporciones, se utilizando de una regla de três.Hay 100 hojas iguales, al todo midiendo 1 cm de altura. ¿Cuál es la equivalente medida de 1 hoja?La regla de três es dada por:
100 hojas - 1 cm
1 hoja - x cm
Aplicando multiplicación cruzada:
[tex]100x = 1[/tex]
[tex]x = \frac{1}{100}[/tex]
[tex]x = 0.01[/tex]
Por eso, el grosor de una hoja es de 0.01 cm.
Un problema similar, que también envolve proporciones, es dado en https://brainly.com/question/24615636
What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
TIMED QUIZ! possibly easy i just don’t get it. HELP
Max is driving 45 miles per hour. A dog runs into the street and Max reacts in about three quarters of a second. What is his approximate braking distance?
O about 101 feet
about 112 feet
O about 75 feet
O about 92 feet
how do I work this out
Answer:
16
Step-by-step explanation:
4 x 4
Is this correct? If not plz get answers 25points!!!
That is correct.
Sqrt 5 x sqrt20
Apply the radical rule to get sqrt( 5 x 20)
Simplify to get sqrt(100)
Sqrt(100) = 10
Solve for y: 2x - y = 5
Answer:
Step-by-step explanation:
Answer:
y = 2x - 5
Step-by-step explanation:
2x - y = 5
=> 2x = 5 + y
=> 5 + y = 2x
=> y = 2x - 5
what is Combine like terms: 9x+8y-4x-2y9x+8y−4x−2y
Answer:
Combine the terms with the same variable
Step-by-step explanation: so 9x-4x+9x-4x
1/9 blank exponent 2
Answer:
I think you mean 1/9^2. That would be 1/81 or 0.01234567 .
Step-by-step explanation:
if 50% is 15 what is 25%
pls help asap!!!!!!!
Answer:
Angle ∠A = 93°'
Angle ∠B = 66.163°
Angle ∠C = 20.837°
Side a = 39.30337
Side b = 36
Side c = 14
Step-by-step explanation:
A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
A coordinate plane.
Answer:
6
Step-by-step explanation:
I took the test
Answer:
6
Step-by-step explanation:
just took the exam
Bananas cost $1 for 3 pounds. How much for 1 pound?
Answer:
0.33
Step-by-step explanation:
The cordinates of three of the verticies of paralellogram ABCD are A(1,0), B(2,3) and C(3,2). What are the cordinates of the 4th Vertex and the point of intersection of the diagonals
Answer:
1) x cordinate x= 2
2) y cordinate y = -1
b)the point of intercowegwjpoeg is (2,1)
Step-by-step explanation:
Answer:
U ଏହାକୁ ଡିକୋଡେଡ୍ କରିନାହିଁ ତୁମେ ଏତେ ଅଦ୍ଭୁତ ଏବଂ ମୂକ ଲୋଲୋଲ୍ |
Step-by-step explanation:
Complete the sentence using the bare infinitive.
1.My parents often make me __________ English Subject
Answer:
study my ___________ I hope it helps
PLEASE HELP PLEASE I REALLY NEED HELP JUST SAY LIKE ABC OR D AND PLEASE DO THE CORRECT ANSWER
Answer:
c
Step-by-step explanation:
Roberto wants to display 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different ways can Roberto display his figures?
Answer: The answer is 2.
HOPE IT HELPS!!
if 50% is 100 what is 25%, 75%, and 100%
Step-by-step explanation:
25%=50
75%=150
100%=200
hope it helps
mark me brainliest
The following data points represent the number of students in each teacher's class at Dodger Middle School. Sort the data from least to greatest. 21 14 23 15 17 22 14 21 Find the median class size. students
Answer:
i think 19
Step-by-step explanation:
Answer:
The answer is 19.
--------------------------------
Least To Greatest
--------------------------------
14, 14, 15, 17, 21, 21, 22, 23.
Step-by-step explanation:
The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS
Step-by-step explanation:
Since area of Square A = 7 ft²,
Side length of Square A = √7 ft.
Length of Rectangle B = √7 ft
Width of Rectangle B = 4/√7 ft
Hence Area of Square C
= (4)² / (√7)² ft² = 16/7 ft².
The area of Square C is the square of the height of the Rectangle B.
Correct responses:
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex][tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]Methods used for finding the area of Square CThe given area of square A = 7 ft.²
The given area of rectangle, B = 4 ft.²
Let s represent the side length of square C and let S represent the side length of square A, we have;
Area of rectangle B = S × s = S·s
Area of square A = S × S = S²
Area of square C = s × s = s²
[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]
Therefore, the expression for the area of Square C in terms of the area
of Square A and Rectangle B is presented as follows;
[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]Which gives;
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]By simplification, we have;
[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]
[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]Learn more about squares and rectangles here:
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Shelley is visiting from London and uses her ATM card to withdraw $200 at local bank B. If local bank B charges $4 for ATM fees per foreign transaction plus 3% of the withdrawal, how much would she own in fees for what transaction? Round to the nearest dollar amount, such as: $6
$5
$4
$10
$7
Answer:
Transaction Fee = $10
Step-by-step explanation:
Transaction fee = $4 for ATM fees per foreign transaction + 3% of the withdrawal
Withdrawal = $200
3% of the withdrawal = 3/100 * $200 = $6
Transaction Fee = $4 + $6 = $10
State the segment that represents the image, based on the information given.
The clockwise rotation of ΔAPG about 90 degree gives ΔCPA.
What is Rotation?Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.
Given:
We have ΔAPG.
Now, we have to rotate about 90 clockwise rotation.
Then, ΔAPG will overlap on ΔCPA
Hence, the clockwise rotation of ΔAPG about 90 degree gives ΔCPA.
Learn more about Rotation here:
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