7) Find the solutions to the following polynomial: 5x* +5x2 – 10 = 0
Answer:
[tex]x = - 2 \: o r\: 1[/tex]
Step-by-step explanation:
We want to solve the quadratic equation:
[tex]5x + 5{x}^{2} - 10 = 0[/tex]
Rewrite in standard form to get:
[tex]5 {x}^{2} + 5x - 10 = 0[/tex]
Divide through by 5 to get;
[tex]{x}^{2} + x - 2 = 0[/tex]
Factor to get;
[tex](x + 2)(x - 1) = 0[/tex]
Apply zero product property to get:
[tex]x + 2 = 0 \: or \: x - 1 = 0[/tex]
The solutions are:
[tex]x = - 2 \: or \: x = 1[/tex]
Work out the angle of CDA?
Answer:
32.3°
Step-by-step explanation:
Sqrt(7.5² - 6²) = 4.5
Tan(D) = 6/(24-10-4.5)
= 6/9.5
D = 32.3
2x + 5
rewrite each expression as the product of a constant and a sum of terms
Answer:
= 2(x+[tex]\frac{5}{2}[/tex] )
Step-by-step explanation:
2x + 5
= 2(x+[tex]\frac{5}{2}[/tex] )
When:
2 is the constant
(x+[tex]\frac{5}{2}[/tex] ) is a sum of terms
Hope it will find you well.
The expression 2x + 5 can be written as the product of 1 and the sum 2x + 5. Therefore, it's 1(2x + 5).
Step 1:
Factor out the greatest common factor.
In the expression 2x + 5, there is no common factor other than 1 since both terms do not share any common factors.
Step 2:
Rewrite as the product of a constant and a sum of terms.
We rewrite 2x + 5 as the product of 1 and the sum of 2x and 5: [tex]\(1 \times (2x + 5)\).[/tex]
Step 3:
Perform the multiplication.
Multiplying 1 by the sum (2x + 5) gives us [tex]\(1 \times (2x + 5) = 2x + 5\)[/tex].
Step 4:
Interpret the result.
The expression [tex]\(2x + 5\)[/tex] represents the original expression 2x + 5 as the product of the constant 1 and the sum of terms 2x and 5. This expression is now in the form requested.
A tree casts 30 ft shadow at the time of day when a 2 ft stake casts a 7ft shadow what is the height of the tree
Check the picture below.
Which expressions are equivalent to 5 x minus 15? Select three options.
5 (x + 15)
5 (x minus 3)
4 x + 3 y minus 15 minus 3 y + x
Negative 7 y minus 6 x minus 8 y + x
Negative 20 minus 3 x + 5 + 8
Answer:
Step-by-step explanation:
The second expression 5 (x minus 3) the third 4 x + 3 y minus 15 minus 3 y + x
and there is no more
Answer:
5(x+3) 5 (x+15) Those are 2 Your welcome.! (:
Step-by-step explanation:
what is -8x-8+3(x-2)=-3x+2
Answer:
x=-8
Step-by-step explanation:
-8x - 8 + 3(x-2) = -3x + 2 Multiply the parentheses by 3
-8x - 8 + 3x -6= -3x +2 Collect all like terms and Calculate
-5x - 14= -3x + 2 Move the terms
-5x + 3x = 2 + 14 Collect all the like terms and Calculate the sum
-2x = 16 Divide both of the sides by -2
x = -8
I hope this is what you were looking for and helps you out.
Answer:
[tex]x=-8[/tex]
Step-by-step explanation:
Given Equation:
[tex]-8x-8+3(x-2)=-3x+2[/tex]
Solving for 'x' by taking the terms of 'x' to one side and constants to the other side:
[tex]-8x-8+3(x)-3(2)=-3x+2\\[/tex]
[tex]-8x-8+3x-6=-3x+2[/tex]
Adding the like terms:
[tex]-5x-14=-3x+2[/tex]
Adding '[tex]3x[/tex]' both sides:
[tex]-5x+3x-14=-3x+3x+2[/tex]
[tex]-5x+3x-14=2\\\\-2x-14=2[/tex]
Adding '[tex]14[/tex]' both sides:
[tex]-2x-14+14=2+14\\\\-2x=16\\\\x=\frac{16}{-2}[/tex]
[tex]x=-8[/tex]
The equations X-2y = 1.3x-y=-1. X+ 2y =-1, and 3x+y= 1 are shown on the graph below. Which system of equations has a solution of approximately (0.6,-0.8)?
Answer:
x+2y=-1 3x+y=1
Step-by-step explanation:
look photo
Answer: x + 2y = -1 and 3x + y = 1
Step-by-step explanation:
In the figure below, PDW and WTC are right triangles. The measure of WPD is 30°, the measure of WC is 6 units, the measure of WT is 3 units, and the measure of WD is 12 units. Determine the measure of PD .
Answer:
PD = 12[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in right Δ PDW and the exact value
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex], then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{WD}{PD}[/tex] = [tex]\frac{12}{PD}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
PD = 12[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using similarity it can be solved as:
[tex] In\:\triangle PDW\: \& \: \triangle CTW\\\\
\angle PDW \cong \angle CTW.... (each\:90 °) \\\\
\angle PWD \cong \angle CWT... (Vertical\:\angle s) \\\\
\therefore \triangle PDW\: \sim\: \triangle CTW\\
(by \:AA\: criterion \: of\: similarity) \\\\
\therefore \frac{PW}{CW} =\frac{WD}{WT}.. (csst) \\\\
\therefore \frac{PW}{6} =\frac{12}{3}\\\\
\therefore \frac{PW}{6} =4\\\\
\therefore PW=4\times 6\\\\
\huge \red {\boxed {\therefore PW=24}} \\\\
In\:\triangle PDW\:, \angle PWD = 60°\\\\
\therefore PD =\frac {\sqrt 3}{2} \times PW\\\\
\therefore PD =\frac {\sqrt 3}{2} \times 24\\\\
\huge \orange {\boxed {\therefore PD = 12\sqrt 3\: units}} [/tex]
4 1/4 - 3 3/4 is you get this you will have 11 points
Answer:Exact Form: 1/2
Step-by-step explanation:
Determine the slope and y-intercept of the line.
y = -69x - 346
Answer:
Step-by-step explanation:
Compare y = mx + b to
y = -69x - 346.
Here the slope, m, equals -69 and the y-intercept, b, equals -346 (Answer C)
Answer:
Trust him (:
Step-by-step explanation:
What’s 8 divide by 12.48
Answer:25/39
Step-by-step explanation:
Find the value of x to the nearest tenth.
For this case we have that, by definition of trigonometric relationships of rectangular triangles, the cosine of an angle is given by the division of the leg adjacent to the angle on the hypotenuse of the triangle. According to the figure we have:
[tex]Cosine (50) = \frac {6} {x}\\x = \frac {6} {cosine (50)}\\x = 9.3343[/tex]
Thus, the value of x is 9.3
Answer:
[tex]x = 9.3[/tex]
a jeep finishes a journey in 9 hours at a speed of 60 km her hour. by how much speed should its speed be increased do that it may only take 6 hours to finish the journey??
Answer:
90 km / hour.
Step-by-step explanation:
Speed = distance / time
So Distance = speed * time.
The distance is the same in both scenarios so
60 * 9 = s * 6 where s is the required speed.
540 = 6s
s = 540 / 6
s = 90 km / hour.
Answer:
90 km/h
Step-by-step explanation:
If the jeep finished the journey in 9 hours and 60 km/h, then we know that the journey is 9 * 60 kilometers long, or 540 kilometers.
540 kilometers / 6 hours = 90 km/h
A(n)=3/2(-2)^(n-1). What is the 3rd term in the sequence?
Answer:
6
Step-by-step explanation:
Substitute n for 3
A(n) = 3/2(-2)^(n-1)
A(3) = 3/2(-2)^(3-1)
A(3) = 3/2(-2)²
A(3) = 3/2(4)
A(3) = 12/2
A(3) = 6
Answer:
6 is the right answer i pretty sure
Step-by-step explanation:
3/2(-2)^(n-1)
3/2(-2)^(3-1)
3/2(-2)²
3/2(4)
12/2
which then if we simplify we get
12/2=6
how do you rewrite -8x+4+(-3)
Answer:
-8×+1
Step-by-step explanation:
you CLT the 4 + (-3)
Answer:
-8x + 1
Step-by-step explanation:
(Not sure what you wanted it rewritten as. This is the equation in standard form).
what do you add to 2 1/8 to make 4
Final answer:
To make a total of 4 starting with 2 1/8, you need to add 1 7/8, which is the difference between 4 written as a fraction (32/8) and 2 1/8 (17/8).
Explanation:
To find what you need to add to 2 1/8 to make 4, you follow these steps:
First, you need to write the number 4 as a fraction with the same denominator as 2 1/8. Since 1/8 is the fractional part of 2 1/8, you can write 4 as 32/8 (because 4 × 8 = 32).
Next, you subtract the fraction 2 1/8 from 32/8. The whole number 2 is the same as 16/8 (because 2 × 8 = 16). So 2 1/8 is the same as 17/8 (because 16 + 1 = 17).
Now, subtract 17/8 from 32/8 to get the difference. 32/8 - 17/8 = 15/8.
The fraction 15/8 can also be written as 1 7/8 (because 15 ÷ 8 = 1 with a remainder of 7).
Therefore, you need to add 1 7/8 to 2 1/8 to make 4.
how to find the area of a circle
Answer:
A=~r
Step-by-step explanation:
Answer:
To find the area of a circle use the formula: A = π * r^2
r is the radius that is given.
Example: Find the area of a 5 in radius circle
A = π * (5)^2
A = 25π
A = 78.54
Hope this helps :)
Solve for a
7a - 20 = 52m
Answer:A=52M/7+20/7
Step-by-step explanation:
What is the order least to greatest -3,0,-1/2,1,-3 1/3,6,5,-1,21/5,4
Answer: -31/3,-3,-1,-1/2,0,1,4,21/5,5,6
PLEASE ANSWERRRRRRRRRR
If two charges attract to each other, then which of the following is true?
A. Both charges must be negative.
B. Both charges must be equal in value.
C. Both charges must be positive.
D. Both charges must be different.
Step-by-step explanation:
D. Both charges must be different.
Because, like charges repel each other and different charges attract each other.
How many plastic cubes can fit into the box?
Option D:
160 plastic cubes can fit into the box.
Solution:
Convert mixed fraction into improper fraction.
Length of the box = 4 ft
Width of the box = [tex]2\frac{1}{2}=\frac{5}{2}[/tex] ft
Height of the box = 2 ft
Volume of the box = length × width × height
[tex]$=4\times\frac{5}{2} \times2[/tex]
= 20 ft³
Volume of the box = 20 ft³
Length of the plastic cube = [tex]\frac{1}{2}[/tex] ft
Volume of the cube = length × length × length
[tex]$=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2}[/tex]
[tex]$=\frac{1}{8} \ \text{ft}^3[/tex]
Volume of the cube = 0.125 ft³
[tex]$\text{Number of plastic cubes}=\frac{\text{Volume of box}}{\text{Volume of cube}}[/tex]
[tex]$=\frac{20}{0.125}[/tex]
= 160
Number of plastic cubes = 160
Hence 160 plastic cubes can fit into the box.
Option D is the correct answer.
What number is 105% of 752
Answer:
789.6
You can do it on a calculator
105% of 752 is 789.6.
Explanation:To find what number is 105% of 752, we first need to calculate 105% of 752.
105% of 752 can be found by multiplying 752 by 105% (or 1.05).
The calculation is: 752 * 1.05 = 789.6
Therefore, 105% of 752 is 789.6.
Which would all these equal in value on the number line 0366145 A is 0 and 2 is 6 I need the others
A = 0, B = 6, C = 3, D = 6, E = 4, F = 5 and G = 1.
Solution:
Starting line is [tex]\frac{0}{6}=0[/tex].
First line is [tex]\frac{1}{6}[/tex].In the number line, all the denominators are same.
Second line is [tex]\frac{2}{6}[/tex].Third line is [tex]\frac{3}{6}[/tex].Fourth line is [tex]\frac{4}{6}[/tex].Fifth line is [tex]\frac{5}{6}[/tex].Sixth line is [tex]\frac{6}{6}=1[/tex].If we match this to the given number line, we get
A = 0, B = 6, C = 3, D = 6, E = 4, F = 5 and G = 1.
Find the 97th term of the arithmetic sequence
25
,
29
,
33
,
.
.
.
25,29,33,...
Step-by-step explanation:
The given sequence is 25, 29, 33, ....
The sequence represents arithmetic progression
In an AP, the first term is a1 = 25
The difference between two terms, d = 29 - 25 = 4
To find the 97th term,
By formula, [tex]a_{n} = a_{1} + (n - 1) d[/tex]
Substituting the values in the above equation, we get
[tex]a_{97} = 25 + (97 - 1) 4[/tex]
= 25 + (96 * 4)
= 25 + 384
= 409
The 97 th term in the given sequence is 409.
The 97th term of the arithmetic sequence 25,29,33,... can be calculated using the formula: a+(n-1)*d. In this case, the 97th term equals 409.
Explanation:The subject of your question is arithmetic sequences. In an arithmetic sequence, every term is a certain amount greater than the previous term. This difference is known as the common difference. In your question, the sequence is 25, 29, 33, ..., indicating the common difference is 29-25, which equals 4.
To calculate the 97th term of an arithmetic sequence, we can use the formula: a + (n-1) * d where 'a' is the first term, 'n' is the term you're looking for, and 'd' is the common difference.
So, for your question, we input the necessary values and calculate: 25 + (97-1)*4 = 25 + 96*4 = 25 + 384 = 409.
Therefore, the 97th term of the arithmetic sequence you provided is 409.
Learn more about Arithmetic Sequences here:https://brainly.com/question/35880655
#SPJ11
Use a metric prefix to write 3,100 grams in kilograms
Answer:
3.1 kg
Step-by-step explanation:
3100 × 10^-3 = 3.1
On a very cold morning, it was -8°F. As the day went on the temperature rose 2
degrees each hour. Which equation shows the temperature over time?
ERO
CLEAR
CHECK
y = -2x + 8
VE 1.2x
y = 2x + 8
Langu
ENG
1:33 PM
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Type here to search
gf
2/12/2020
Answer:
The temperature in °F after x hours will be given by, y = - 8 + 2x.
Step-by-step explanation:
The temperature in the morning was - 8°F. Now, as the day went on the temperature rose 2°F each hour.
So, after x hours the temperature will rise by 2x°F.
Therefore, the temperature in °F after x hours will be given by, y = - 8 + 2x. (Answer)
Help with 16 and 17 please
Answer:
16) b and 17) C
Step-by-step explanation:
Temperature in degrees Fahrenheit can be converted into degrees Celsius using the formula C=5(F-32)/9
Make F the subject of formula
Give your answer in the form aC + b/c where a,b and c are all positive integers.
Answer:
F= (9C+160)/5
Step-by-step explanation:
C=5(F-32)/9
make F the subject of the formula= isolate F
5(F-32)=9C
5F-160=9C
5F=9C+160
F= (9C+160)/5
check: a, b, c are all positive integers (a=9, b=160, c=5)
Answer:
9c+160/5
Step-by-step explanation:
The points (5, 3), (3, -4), (10, 3), and (8, -4) are the vertices of a polygon. What type of polygon is formed by these points?
Answer:
Parallelogram
Explanation:
Since there are four points, this is a quadrilateral.
There is a slope during the points. Therefore it could not be a rectangle nor square. The sides are still parallel though.
The length is not equal too, so it could not be a rhombus.
If you plot these points to the graph and connect them, it would form a parallelogram.
Answer:
a parallelogram
Step-by-step explanation:
When the points are connected to form a convex polygon, that polygon is a parallelogram.
Three friends bought ¼ kg of trail mix to share. How many kg will each friend receive?
Answer:
1/12 kg
Step-by-step explanation:
1/4(1/3)=1/12