Answer:
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]
Hence, option B) is true.
Step-by-step explanation:
Given
g(t) = t² - 2
h(t) = t + 4
To determine
[tex]\left(g\:\circ \:\:h\right)\left(-4\right)=?[/tex]
Using the formula
[tex]\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)[/tex]
In order to determine g(h(-4)), first we need to determine h(-4), so
substituting t = -4 in h(t) = t + 4
h(t) = t + 4
h(-4) = -4 + 4
h(-4) = 0
so we can write
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)[/tex]
now, to determine g(0), substitute t = 0 in g(t) = t² - 2v
g(t) = t² - 2
g(0) = (0)² - 2
g(0) = 0 - 2
g(0) = -2
so, finally we get
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2[/tex]
Therefore,
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]
Hence, option B) is true.
Please help will give brainlist to first answer due at 10 15 An artist mixes yellow paint with blue paint to make a certain shade of green. The ratio of yellow to blue is 3 to 5. How much yellow paint should the artist mix with 20 ounces of blue paint. Write a proportion and solve.
Answer:
12 onces of yellow paint should be use
Step-by-step explanation:
3:5
= 3 x 4 =12 and = 5 x 2 = 20
Answer:
12:20
Step-by-step explanation:
12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20
I don’t understand, can someone please help.
Answer: 40
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
All triangles has the sum of the internal angle equal to 180
2x+10+3x+x+50=180
Combine like terms
6x+60=180
Subtract 60 on both sides
6x=120
Divide 6 on both sides
x=20
Hope it helped :))
–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1
Given:
The expression is
[tex]-5x+4-x-1[/tex]
To find:
The terms, like terms, coefficients and constants.
Solution:
We have,
[tex]-5x+4-x-1[/tex]
It can be written as
[tex]=(-5x)+4+(-x)+(-1)[/tex]
So, terms are [tex]-5x,4,-x,-1[/tex].
It two terms have same variable of same degree, then they are called like terms.
[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.
In the product of a number and a variable, the number is called coefficient.
Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.
Constant terms are free from variable. So, constant terms are 4 and -1.
Terms: [tex]-5x,4,-x,-1[/tex];
Like terms: [tex]-5x, -x;4, -1[/tex];
Coefficients: -5, -1;
Constants: 4, -1
Therefore, the correct option is c.
help please need this asap!!
Answer:
Upper one: Not necessarily Congruent
Below one: AAS Congruence Property
What is the range of the graph?
Answer:
y ≥ -1
Step-by-step explanation:
range consists of all y-values contained in the solution set
the lowest y-value (as seen by the graph) is negative 1
Ryan was paid $75 for
working 6 1 4 hours.
How much money
did he make per hour?
Answer:
46050
Step-by-step explanation:
75x614
Answer:
$8.20
Step-by-step explanation:
614 divided by 75 is 8.18666666667. Rounded to the nearest tenth is 8.2.
simplify sqrt n/18 !!!
Answer:
are u really done this one or not I help U okay salamat
Are these equilateral isosceles or scalene I’ll give brainlest if right
Answer: 7) isosceles 8) scalene 9) congruent 10) scalene 11) isosceles 12) congruent
Step-by-step explanation: Scalenes have two matching sides, congruent has all matching sides, and scalene has no matching sides :)
I’ll give the Brainliest to who answers these questions with reasonable explanations.
1. A car stereo is on sale for $250 from its original $273 cost. What is the percent of the discount?
A. 84%
B. 92%
C. 9.2%
D. 8.4%
————————————————————————————————————————————————————————
2. The Universal Sports Company purchases weight racks directly from the manufacturer for $46 each. The weight racks are marked up 210% of the wholesale cost and sold. What is the amount of mark-up of each weight rack?
A. $1012
B. $966
C. $96.60
D. $142.60
————————————————————————————————————————————————————————
3. A television set that has an original price of $325.50 is on sale for 30% off. What is the selling price of the television?
A. $423.15
B. $97.65
C. $325.50
D. $227.85
————————————————————————————————————————————————————————
4. The Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce. The mark-up rate is 75% of the cost to produce. What is the retail price?
A. $280
B. $490
C. $770
D. $210
Thanks for the help!
Answer:
[tex]\mathrm{1.\:D.\:8.4\%}\\\mathrm{2.\:C.\: \$96.60}\\\mathrm{3.\:D.\: \$227.85}\\\mathrm{4.\:B.\:\$490}[/tex]
Step-by-step explanation:
1. The car's initial price was $273. Since the sale price is $250, the car is on a [tex]273-250=\$23[/tex] discount. The percent of discount is the discount price over the initial price:
[tex]\frac{23}{273}\approx \fbox{$8.4\%$}[/tex].
2. Since the weight racks were initially priced $46, then marked up 210%, their mark-up is:
[tex]46\cdot2.1=\fbox{$\$96.60$}[/tex]
*Worth noting that this is the mark-up (as the question is asking), not the total price after the mark-up.
3. The TV's initial price is $325.50. If it's on sale for 30%, it's final price will be [tex]100\%-30\%=70\%[/tex] of the initial price:
[tex]\$325.50\cdot 0.7=\fbox{$\$227.85$}[/tex]
4. The final retail price will be the initial price + the mark-up:
[tex]280+280(0.75)=\fbox{$\$490$}[/tex].
If C is the midpoint of AB, find the value of x.
Answer:
5x+6= 10x-8
14= 5x
x= 2.8
Step-by-step explanation:
what is the explicit rule for 64,67,70,73,76
Answer: The answer is 3.
Step-by-step explanation:
64+3=67 67+3=70 Etc.
please help will mark brainliest
Answer:
[tex]m\angle N=57^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].
Therefore:
[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .
Answer:
LMN is rectangle in L so LMN= 180° ; ML=66°;N=? N= 180°- 66°=114=114/2= 57° so N=57°
Step-by-step explanation:
When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.
The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8. The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.
Answer:
The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.
Step-by-step explanation:
To find: What is the constant term in the polynomial expression, and what does it represent?
The given expression is [tex]-8x^2 + 54x + 140[/tex].
To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.
=[tex]-8(0)^2 + 54(0) + 140[/tex]
=[tex]140[/tex]
The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.
Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.
solve the inequality j + 6 < 9
factorize: a^4+2xa³+a²x²-y^4
Answer:
(a^2+ax-y) (a^2+ax+y^2)
Step-by-step explanation:
a^4+2xa³+a²x²-y^4
(a^2+ax)^2-y^4
(a^2+ax-y) (a^2+ax+y^2)
9514 1404 393
Answer:
(a^2 +ax -y^2)·(a^2 +ax +y^2)
Step-by-step explanation:
This can be factored as the difference of squares.
a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4
= (a(a+x) -y^2)(a(a+x) +y^2)
= (a^2 +ax -y^2)·(a^2 +ax +y^2)
1) Castel and Rob are selling cheesecakes for a school fundraiser. Customers can buy New York style
cheesecakes and apple cheesecakes. Castel sold 5 New York style cheesecakes and 6 apple cheesecakes
for a total of $85. Rob sold 6 New York style cheesecakes and 6 apple cheesecakes for a total of $90.
What is the cost each of one New York style cheesecake and one apple cheesecake?
Answer:
new York cheese cake $5
Apple cheese cake $10
Your friend claims that a triangle with side lengths of a, b, and c will have half the area of a triangle with side lengths of 2a, 2b, and 2c. Is your friend correct?
Answer:
My friend is wrong since, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c
Step-by-step explanation:
Using herons formula, the area of the first triangle with sides a, b, c is A = √[s(s -a)(s - b)(s -c)] where s = (a + b + c)/2.
So, A = √[(a + b + c)/2((a + b + c)/2 - a)((a + b + c)/2 - b)((a + b + c)/2 - c)]
= √[(a + b + c)/2((b + c - a)/2)((a - b + c)/2)((a + b - c)/2)]
= 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
For the triangle with sides 2a, 2b, 2c, the area is A' = √[s'(s' - 2a)(s' - 2b)(s' -c)] where s' = (2a + 2b + 2c)/2 = a + b + c.
So, A' = √[(a + b + c)((a + b + c) - 2a)((a + b + c) - 2b)((a + b + c) - 2c)]
= √[(a + b + c)((b + c - a)(a - b + c)(a + b - c)]
= √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)].
Since A = 1/4√[(a + b + c)(b + c - a)(a - b + c)(a + b - c)]. and A' = √[(a + b + c)(b + c - a)(a - b + c)(a + b - c)] ⇒ A = A'/4
So, the area of the triangle with sides a, b, c is one-quarter the area of triangle with sides 2a, 2b, 2c. So, my friend is wrong.
A table of equivalent ratios is given.
What is the missing number in the table?
Answer:
It's 30
..................
they all are equal to 1:3
so 90/3=30
answer is 30 !
Consider the line shown on the coordinate plane
What is the equation of the line in the form y = mx + b?
10
Drag numbers to the boxes to complete the equation in the form
y = m + b
8
7
6
y
2
3
PH
-4
.: 2
:: 2
::
:: +2
-10-9-8-7-5-4-3 -2 -1 0
.: +4
-5
-
1
2
3
.
5
8
7
Finish Later
Submit
✓
150 PM
Type here to search
1/15/2021
Answer:
y=1/2x+2
Step-by-step explanation:
hope it helps ^^
answer these 2 questions if ur smart?!?!?
1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2
2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=
=8x^3+10x^2+12x+15-8x^3+16x=
=10x^2+28x+15
Answer:
1. [tex]8x^2+xy-15y^2[/tex] 2. [tex]10x^2 + 28x + 15[/tex]
Step-by-step explanation:
For Question 1:
[tex](4x + 5y) (2x - 3y) + 3xy[/tex]
= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]
[tex]=8x^2+xy-15y^2[/tex] (cannot simplify any further)
For Question 2:
[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]
[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]
[tex]=10x^2 + 28x + 15[/tex] (cannot simplify any further)
Let x represent the number of years in 2004 and y represent the number of catalogs Catalogs. Number in 2004. Growth rate Online. 7440. 1293 Print. 3805. -1364
Answer:
The answer is below
Step-by-step explanation:
a) x represents the number of years since 2004 this means that x = 0 represent the year 2004, y represent the number of catalogs. From the table the numbers of catalogs in 2004 are y-intercepts and the slope is the growth rates. Hence the equations are:
y = 1293x + 7440 (1)
y = -1364x + 3805 (2)
b)
y = 1293x + 7440 (1)
y = -1364x + 3805 (2)
Subtract equation 2 from equation 1 to get:
0 = 2657x + 3635
2657x = -3635
Divide through by 2657
x = -1.368
Put x = -1.368 in equation 1:
y = 1293(-1.368) + 7440
y = 5671.1
This means that about 1.4 years before 2004, the number of catalogs where 5671
i^2=√-1 true or false
Answer:
im pretty sure its true :)
Step-by-step explanation:
Have a good day sorry if its wrong
Answer: True
Step-by-step explanation: i^2=-1
-1 = \sqrt{-1}
5) Amarian scored 24 points in the second half of the basketball game.
This is 75% of the points he scored in the game. How many points did
Amarian score in the game?
(The answer is NOT 18)
Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?
Answer:
Emily is going to spend $285
Step-by-step explanation:
You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.
A line passes through the points (6, 8) and (5,5). What is its equation in slope-intercept
form?
Answer:
y = 3x -10
Step-by-step explanation:
Use the method [tex]\frac{rise}{run}[/tex].
I took a screenshot of the graph below, as an example of the rise over run method.
3 ÷ 1 = 3
To find the y intercept, count down on the graph until you reach the point where the line crosses.
In this case, the line crossed at -10 on the y-axis.
(Look at the second image)
So plug the numbers into the equation, and then you get y = 3x -10.
solve the Inequality
8p<-3
Answer:
Step-by-step explanation:
8p < -3
You must isolate P
In order to do this, you need to get rid of anything on that side.
P is being multiplied by 8, so you must do the inverse in order to get rid of it.
The opposite of multiplying is dividing, so divide BOTH sides by 8.
8p / 8 < -3 / 8
You are left with:
p < -3 / 8
That is the answer
Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
$1.89 for 3ft
Step-by-step explanation:
3ft x 12in = 36
36in divided by 1.89 = 19.048
18in divided by 0.89 = 20.225
So, buying $1.89 for 3 ft is the better purchase.
Plzz help me ill give u brainlist
Answer:
A
Step-by-step explanation:
You can make an infinite number of triangles with those three angle measures, because the side lengths can be different.
(2x - 4)+ ( x + 9)
A. 3x+5
B.x+5
C.3x-13
D.x+9
Answer: option A, 3x + 5
first, i rewrote it and removed the parentheses.
2x - 4 + x + 9
then, i collected the like terms.
3x + 5
For each 11 mm of coloured fabric June uses to make her curtains, she also uses 1 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answer: The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Given :
Amount of coloured fabric used by June = 11 mm = 1.1 cm (1 mm=0.1 cm)
Amount of white fabric used by June = 1 cm
To find : amount of white fabric to coloured fabric as a ratio in its simplest form
To find the ratio in simplest form , the units of both measurements should be same
Thus [tex]\frac{\text {amount of white fabric}}{\text {amount of coloured fabric}}=\frac{1cm}{1.1cm}=\frac{10}{11}[/tex]
The amount of white fabric to coloured fabric as a ratio in its simplest form is [tex]\frac{10}{11}[/tex]