Answer:
x = - [tex]\frac{3}{2}[/tex] , x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
x - 2 = 0 ⇒ x = 2
A company has to make a large number of boxes.
The company has 8 machines.
All the machines work at the same rate.
When all the machines are working, they can make all the boxes in 9 days.
The table gives the number of machines working each day.
day 1
day 2
day 3
all other days
Number of machines working
4
5
7
8
Work out the total number of days taken to make all the boxes.
Your final line must say, It takes ... days to make all the boxes
Answer:
It takes 10 days to make all the boxes
Step-by-step explanation:
9*8=72
72-(4+5+7)=56
56/8=7
7+3=10
It takes 10 days to make all the boxes
Help this is due tonight.
What is 4x + 3y = -20 and x - 3y = -20
PLZ HELP
Answer: y= - 4/3 x - 20/3
HELP!!!!!!!!!!!!!!!!
Answer:
C. 390 cm²
Step-by-step explanation:
Area of Rectangle: l•w
Area of Triangle: 1/2bh
Rectangle:
20 cm • 15 cm = 300 cm²
Triangle:
1/2(12)(15)
1/2(180)
90 cm²
Entire Shape:
300 cm² + 90 cm² = 390 cm²
What’s the measurement of
Step-by-step explanation:
4x and 6x sit on a straight line therefore must equal to 180°
4x+6x = 180° (∠'s on str. line)
10x = 180
x= 180/10
x= 18
Then we need to find ∠UYV
∠UYV = 4x
=4(18)
=72°
So ∠UYV = 72°
what's four minus 1 third
Answer:
3 2/3
Step-by-step explanation:
hope this helps
Answer:
3.6 is the answer
Step-by-step explanation:
Brainliest?
Which term is not a like term?
A.3x
B.4y
C.7x
D.x
Please help me!!!!!!!!!!!!!
Answer:
96 ft
Step-by-step explanation:
do 10 * 8 + 8 * 2
~~~~~~
In a circle, if you connect the edge of diameter and a point on the circumference, it forms a right triangle.
Is the above statement always true? sometimes true? or always false? Show your answer and support it by reasoning. (can use a picture)
Answer:
always true
Step-by-step explanation:
Please help me out and make sure to show your work! thanks
Answer:
1075 sq ft
Step-by-step explanation:
There are a few ways to do this but I am only going to show one.
35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075
Katy buys 2 DVDs every 2 weeks. How many DVDs will she buy in 14 weeks?
A. 28
B. 4
C. 56
D. 14
Write 33 kg as a fraction of 4 tonnes.
Answer:
jsjjrjjsndndjjdjdjfjfjdjdjeoowke
The fraction of 33 kg as a fraction of 4 tonnes is 33/4000.
What is Unit Conversion?The same property is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other length unit instead of miles.
For example, inches, centimeters, and miles are all measures of distance.
Given:
Amount= 33 Kg
We have to convert Kg into Tones
We know, 1 tonne= 1000 Kg
So,4 tonee = 4 x 1000
= 4000 Kg
Thus, 33 kg as a fraction of 4 tonnes.
= 33/4000
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Ramon paid a flat fee of $269.50 for a year's worth of vet visits for his 4 cats. He made 14 visits during the year. What was the average cost per vet visit?
Answer:
The average cost per vet visit was $19.25.
Step-by-step explanation:
From the information given, you can find the average cost per visit by dividing the total amount paid for a year's worth of vet visits by the number of visits:
269.50/14= $19.25
According to this, the answer is that the average cost per vet visit was $19.25.
How likely is it that the spinner will land on a green space?
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
Solve for x in the diagram * 10 POINTS HELP*
Answer:x+42+3x = 90
Combine like terms:
3x+x = 4x
42+4x = 90
Subtract 42 to both sides
90-42 = 48
Divide 4 by 48
48/4 = 12
X = 12
100% right
Step-by-step explanation:
Help and please make sure it’s right :)
Answer:
11
Step-by-step explanation:
7x + 8 = 6x + 19 (alternate angles)
7x - 6x = 19 - 8
x = 11
Hannah put $2,000 in a savings
account. After 2 years she earned
$180 in simple interest. What was her
interest rate?
Answer:2000/180=11.11 p
Step-by-step explanation:
mark brainliest
Solve the following quadratic equation
(x-18)^2=1.
A. x = 19 and x = 17
B. x = -19 and x = -17
C. x = -19 and x = 17
D. x = 19 and x = -17
To solve the quadratic equation (x - 18)^2 = 1, we can take the square root of both sides and consider the positive and negative roots. Here's how we can proceed:
Taking the square root of both sides gives us:
x - 18 = ±√1
Simplifying the square root of 1, we have:
x - 18 = ±1
Now, let's solve for x by considering both the positive and negative cases:
Case 1: x - 18 = 1
Adding 18 to both sides:
x = 1 + 18
x = 19
Case 2: x - 18 = -1
Adding 18 to both sides:
x = -1 + 18
x = 17
Leading to our final correct answer is:
A. x = 19 and x = 17
ヾ(•ω•`)o
I need help please and thank you! :)
Answer:
Sorry I’m only in 8th grade and can’t figure it out
Step-by-step explanation:
solvex
(3 x - 9)(3x - 1) = 0
Answer:
(3x-9)(3x-1)=0
3x-9=0
3x= 9
x=9/3
x= 3
OR
3x-1=0
3x=1
x=1/3
In ΔVWX, x = 41 cm, v = 17 cm and ∠W=134°. Find the length of w, to the nearest centimeter.
Answer:
54
Step-by-step explanation:
deltamath gave me the answer
The length of w is 54 cm.
What is Trigonometry?One of the six mathematical functions used to express the side ratios of right triangles, the trigonometric function includes the sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). The figure shows these six trigonometric functions in respect to a right triangle. Surveying, engineering, and navigation issues where one of a right triangle's acute angles and the length of a side are known but the lengths of the other sides need to be determined can be solved with ease using trigonometry.
As per the given data:
x = 41 cm
v = 17 cm
∠W = 134°
To find the length of w:
From the cosine law: [tex]cos(W) = \frac{x^2 + v^2 - w^2}{2xv}[/tex]
[tex]w = \sqrt{x^2 + v^2 - 2xvcos(W)}\\w = \sqrt{(41)^2 + (17)^2 - 2(41)(17)cos(W)}\\w = \sqrt{1681 + 289 + 968.35} = \sqrt{2938.35}\\w = 54 \:cm[/tex]
Hence, the length of w is 54 cm.
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Find the difference. Write you answer in simplest form.
9/10 - 4/10
Answer:
1/2
Step-by-step explanation:
hope it helps :)
Find the area of the composite figure below.
Answer:
63 cm^2.
Step-by-step explanation:
Total Area = area rectangle + area of triangle on right + area of triangle at the top.
= 6 * 8 + 1/2 * 1 * 6 + 1/2 * 8 * 3
= 48 + 3 + 12
= 63 cm^2.
What is the slope between the points (-2, -4) and (3, 4)?
Answer:
m= y2_ y1÷ x2-x1= 4-(-4) ÷ 3-(-2) = 8 ÷ 5
Is the figure an example of parallel lines?
Yes, the lines intersect.
Yes, the lines do not intersect.
No, the lines intersect.
No, the lines do not intersect.
Answer:
No,the lines intersect
If the dimensions of a cylinder are doubled he suface area will
It will be doubled, Because the surface area is getting bigger as the dimensions get bigger.
Order the following rational numbers from least to greatest.
1.3 5/8
\
2.3 2/5
3.3.30
4.3.5
5.3 1/3
Answer:
1.3 5/8 ,4.3.5 ,2.3 2/5, 5.3 1/3
Step-by-step explanation:
How do you know when you have a difference of perfect squares?
In general, a variable to any even power is a perfect square.
So for example, x² is a perfect square and so is y¹⁴.
A common made by students is not in factoring the difference of two squares, but just failing to recognise that the difference of two squares exist.
It will also help to review your perfect squares
for the numbers between 1 and 16.
If a ship had 1500 boars, what is the age of captain??
Answer:
At least 24 (if started around 19) or 23 (if started internship around 18)
[ results are only if the boars are dead and the ship's capacity is closest to the TEU ]
Use the vertical method to multiply (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). What would be the value of D?
Answer: C 3a^4
Step-by-step explanation:
I just took the test
The multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
What is vertical method to multiply?The vertical method to multiply is one of the simple method to perform multiplication operation.
In this method, the two terms which need to be multiply is kept one below the other and each element of first is multiplied with the other term.
The equations given in the problem are, (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). Arrange them and write in vertical manner to multiply.
[tex]4a^3+3a^2-2a+1[/tex]
X [tex]a^2-2a+3[/tex]
______________________
+ [tex]12a^2+9a^3-6a+3[/tex]
[tex]-8a^4-6a^3+4a^2-2a[/tex]
[tex]4a^5+3a^4-2a^3+a^2[/tex]
_______________________
[tex]4a^5-5a^4+4a^3+14a^2-8a+3[/tex]
This is the complete multiplication of given equation with vertical method. Comparing with the sum shown in figure we get,
[tex]A=4a^2\\B=4a^3\\C=3\\D=3a^4[/tex]
Thus, the multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
Learn more about the vertical method to multiply here:
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what is x + 15 > 3?
please hurry i need this for a math test and I will give a lot of points
Answer:
hmm
Step-by-step explanation:
Answer:
x>-12
Step-by-step explanation:
x + 15 > 3 (Group like terms)
x>3-15
x>-12