Which number line shows all the values of x that make the inequality -3x + 1 < 7 true
After solving the equation (work shown in image) your answer would be x > -2. I drew an image of how the number line should look at least similar to, using the solution.
*whenever you divide or multiply with a negative number reverse/flip the sign
< or > signs will always have an open circle
≥ or ≤ signs will have a closed/filled in circle
TIP: To know which way the arrow should point, look at the sign and think of it as an arrow.
< would have the arrow on the number point
this way: <-
or > which would have the arrow on the number line point this way: ->
The sum of two trinomials is 7x2 - 5x + 4. if one of the trinomials is 3x2 + 2x - 1, then what is the other trinomial?
a.
10x2 - 3x + 3
b.
4x2 - 7x + 5
c.
10x2 + 7x + 5
d.
4x2 - 3x + 3
Answer:
b. 4x^2 -7x +5
Step-by-step explanation:
When you know a sum and one of its contributors, you can find the other by subtraction. The other trinomial is ...
(7x^2 -5x +4) - (3x^2 +2x -1)
= (7 -3)x^2 +(-5 -2)x +(4 -(-1))
= 4x^2 -7x +5 . . . . . matches B
Find the length of the third side. If necessary, write in simplest radical form
Answer:
Step-by-step explanation:
Put a circle round the largest number and a square round the smallest number in estha
a) 8 -7 -4 0 7
b) -9 1 0 -1 -4
C) -4 -8 -3. -7 -2
Answer:
A 406 of answer your question please sorry
give me the full working and I give you stars
→ Area of rectangle = Length * Width
Here given:
Length = 63 mWidth = 17 mHere area:
L * W63 * 17 1071 m²Answer:
1071 m²
Step-by-step explanation:
The area of a rectangle is basically the length multiplied with the width. The length can be any side length, but the width must be the adjacent to the length. Thus, we can let the length be 63 meters and the width be 17 meters as the width is adjacent to the length.
⇒ Area of rectangle = Width × Length
⇒ Area of rectangle = 17 × 63
⇒ Area of rectangle = 1071 m²
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Using the Pythagorean theorem:
X^2 = 10^2 + 24^2
X^2 = 100 + 576
X^2 = 676
X = sqrt(676)
X = 26
answer: 26
Answer:
26 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets solve!!
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
Now lets find the square root!!
[tex]\sqrt{676}[/tex] = 26
Have an amazing day!!!
Please rate and mark brainliest!!
Factor.
x^2 4x +4
(x + 2)^2
(x+4)^2
(2 – 2)^2
(2 – 4)^2
Answer: The answer is [tex](x+2)^2[/tex]
Step-by-step explanation:
Because [tex](x+2)^2[/tex] means [tex](x+2)(x+2)[/tex]
So we use the foil method to factor
First: [tex]x*x=x^2[/tex]
Outside: [tex]x*2=2x[/tex]
Inside: [tex]2*x=2x[/tex]
Last: [tex]2*2=4[/tex]
So we now write the following equation [tex]x^2+2x+2x+4[/tex]
Simplfied [tex]x^2+4x+4[/tex]
the binary number 1101101 converted to decimal number is
Answer:
109
Step-by-step explanation:
The sum of two numbers is 39. The larger number is 11 more than the smaller number. What are the numbers?
Larger number: ?
Larger number: ?
Answer:
Larger number = 25
Smaller number = 14
Step 1. Establish variables and system of equations
Larger number = x
Smaller number = y
&
x + y = 39
y + 11 = x
Step 2. Isolate a variable in ONE equation
x + y = 39
y = 39 - x
Step 3. Substitute that into the OTHER equation to find x
y + 11 = x
(39 - x) + 11 = x
50 - x = x
50 = 2x
25 = x
Step 4. Substitute that into the OTHER equation to find y
x + y = 39
(25) + y = 39
y = 14
Hope this helps!
Instructions: Find the missing side of the triangle.
Answer:
x=15
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The legs and x and 20 and the hypotenuse is 25
20 ^2+x^2 = 25^2
400 + x^2 = 625
Subtract 400 from each side
x^2 = 625-400
x^2 = 225
Take the square root of each side
sqrt(x^2) = sqrt(225)
x = 15
I Need help asap!!!!!!!!!!!!!!!!!!
Answer:
The answer of how many cars is 23
HELP HELP HELP FAST PLEASE
Answer:
111
Step-by-step explanation:
Is –49 − –78 positive or negative?
Answer:
This is positive
Step-by-step explanation:
A "double negative" will always be positive. The equation should be rewritten as -49+78, the answer is 29.
Answer:
This one will be postive
Step-by-step explanation:
–49 − –78 is positve 29
It comes out to a positive because you are subtracting by a negative.
Hope that helps!
write each ratio in the simplest form 35 to 105
Answer: 35:105=1:3
Hope this helps! Have a good day !!! :)
Class A has 25 pupils and class B has 28 pupils.
Both classes sit the same maths test.
The mean score for class A is 69.
The mean score for both classes is 41.
What is the mean score in the maths test for class B?
Please helppp
Answer:
I think it will be less than 69 because the tozal mean is 41 while of A is 69 mean the values has decreased
Complete the steps to evaluate log798, given log72 ≈ 0.356. how can you rewrite log798 using the product property?
The expression [tex]\rm log_{7} 98[/tex] using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex].
What is a logarithm?A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.
It is given that [tex]\rm log_{7} 2[/tex] = 0.356
We can write [tex]\rm log_{7} 98[/tex] in terms of [tex]\rm log_{7} 2[/tex]
[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]
In logarithm, the product will change in addition
[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]
= [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]
Hence, the expression [tex]\rm log_{7} 98[/tex] using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]
Learn more on logarithm here:
brainly.com/question/12049968
Answer:
log7 2 + log7 49
log7 49= 2
Step-by-step explanation:
A) not periodic
B) periodic with a period of 6 and an amplitude of about 12.5
C) periodic with a period of 6 and an amplitude of about 25
D) periodic with a period of 12 and an amplitude of about 12.5
Explanation:
Plot all of the data points on the same xy grid as shown below.
I used GeoGebra to make the diagram.
The points seem to be randomly scattered about without any apparent pattern (though there might be some symmetry going on). The data does not seem to be periodic.
Periodic data repeats itself at some point in time, for example like a waveform pattern, which unfortunately these data points don't reflect.
help i am bad at geometry
Answer:
115.5 cubic meters.
Step-by-step explanation:
First find the are which is 10.5 because are is base times width divided by 2
The multiply the are with the height. 10.5 times 11 equals 115.5 cubic meters.
What is the volume of a right circular cylinder with a diameter of 19.6 yd and a height of 23.52 yd?
Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
7092.82 cubic yards
Step-by-step explanation:
The volume of a right circular cylinder is given by:
V represents the volume of a cylinder.
r represents the radius of a cylinder.
h represents the height of a cylinder.
As per the given statement:
Diameter(D) = 19.6 yd and height(h) = 23.52 yd.
Diameter = 2r where r is the radius of the cylinder
Substitute these given values in [1] we have cubic yard
Simplify:
V = 7,092.82291 cubic yard.
Hope this helps!
Quotient for 7.924/0.7
Answer:
11.32
Step-by-step explanation:
: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answer:
A rational number: 5.4, which also can be written as 27/5
Irrational number:
sqroot 28
approx= 5.29
Step-by-step explanation:
5.4 is a rational number because it is a terminating decimal. That means it ends after the 4, there are no more numbers. Also it can be written as a ratio (looks like a fraction) 27/5.
Sqroot28 is irrational. Since 28 is not a perfect square, when you squareroot it you get a number with a neverending decimal
sqroot28 = 5.2915026221...
since the decimal does not repeat or end it cannot be written as a ratio, so it is not rational
sqroot28 ~= 5.29
Help me please I don’t know what to do
Answer:
You didn't include the question, so people are unable to help you.
If X=25 when y=125, what is the value of x when y=25?
Answer:
5
Step-by-step explanation:
x=1/5y
What is V=(3.14)(12x12)(12)
Answer:
5,425.92
Step-by-step explanation:
multiply 12×12
then mulitply 144×3.14×12
which answer is right and please explain
Please do number 4. Thanks
Answer:
C because he has to interview every student in his class to collect data
Write the following in order of size ,starting with the smallest. 66/100 , 0. 6 , 0. 67 , 666/1000
Answer:
0.6,66/100,666/1000,0.67
The volume of a paper cone of radius 2.4cm is 95.4 cm3.
The paper is cut along the slant height from O to AB.
The cone is opened to form a sector OAB of a circle with centre O.
Calculate the sector angle x°.
[The volume, V, of a cone with radius r and height h is V= 1/3 x π x r² x h.]
The sector angle formed by the cone when it is opened is: 54°.
What is the Curved Surface Area of a Cone?Curved surface area of a cone = πrl, where l is the slant height and r is the radius of the cone.
What is the Area of Sector?Area of a sector in a circle = ∅/360 × πr², where ∅ is the sector angle.
Step 1: Find the height (h) of the cone using the volume formula, V= 1/3 x π x r² x h:
V = 95.4 cm³
r = 2.4 cm
Plug in the values:
95.4 = 1/3 x 3.14 x 2.4² x h
95.4 = 6.03 x h
h = 15.8 cm
Step 2: Use the pythagroean theorem to find the slant height (l) of the cone
l = √(h² + r²)
Plug in the values
l = √(15.8² + 2.4²)
l = 16 cm.
Step 3: Find the curved surface area of the cone
Curved surface area = πrl = π(2.4)(16) = 120.6 cm².
Step 4: Find the sector angle of the sector formed by the cone when opened
Curved surface area of the cone = area of the sector formed by the cone = 120.6 cm².
Area of a sector in a circle = ∅/360 × πr², therefore:
120.6 = ∅/360 × (3.14)(16²)
120.6 = ∅/360 × 803.84
(120.6)(360) = (∅)(803.84)
43,416 = (∅)(803.84)
43,416/803.84 = ∅
∅ = 54°
Therefore, the sector angle formed by the cone when it is opened is: 54°.
Learn more about cone on:
https://brainly.com/question/6613758
In the figure below all lines intersect at point W what is the value of angle VWX?
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
4 x f(6) - 6 x g(5)=