ax - 5 = b
ax = b + 5
a = [tex]\frac{b+5}{x}[/tex]
Answer:
[tex]a=\frac{b+5}{x},x\ne0[/tex]
Step-by-step explanation:
The given equation is:
[tex]ax-5=b[/tex]
We want to solve this equation for a.
We add 5 to both sides of the equation to get:
[tex]ax=b+5[/tex]
We divide both sides by x to get:
[tex]a=\frac{b+5}{x},x\ne0[/tex]
We must restrict the domain because a is not defined for all values of x.
10 POINTS AND BRAINLIEST! I NEED HELP ASAP!
Complete the function table, then write a rule for the function.
Answer:
[tex] - 3 | - 9 \\ - 2 | - 4 \\ - 1 | - 1 \\ \: \: 0 \: | \: 0 \\ \: \: \: 1 | - 1[/tex]
Step-by-step explanation:
[tex] - ( - 3) ^{2} = - 9 \\ - ( - 2) {}^{2} = - 4 \\ - ( - 1) {}^{2} = 1 \\ - (0) {}^{2} = 0 \\ - (1) {}^{2} = - 1[/tex]
then our rule is
[tex]f(x) = - (x) ^{2} [/tex]
[tex]where \: x \: is \: the \: input \: \\ and \: f(x) \: is \: the \: output .[/tex]
This is my idea. I hope it can help you.
What is the solution to the equation below?
x/4=x+1/3
A) x=-4
B) x=-1
C) 1/7
D) 4/7
Answer:
[tex]\large\boxed{A)\ x=-4}[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{4}=\dfrac{x+1}{3}\qquad\text{cross multiply}\\\\3x=4(x+1)\qquad\text{use the distributive property}\\\\3x=4x+4\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\-x=4\qquad\text{change the signs}\\\\x=-4[/tex]
5) radius = 2.6 in
How do I find the circumference?
Answer:
[tex]\large\boxed{C=5.2\pi\ in\approx16.328\ in}[/tex]
Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have r = 2.6 in. Substitute:
[tex]C=2\pi(2.6)=5.2\pi\ in[/tex]
[tex]\pi\approx3.14\to C\approx(5.2)(3.14)=16.328\ in[/tex]
What is the value of x?
Enter your answer in the box.
x =
It’s 25 because (24x24)+(7x7) squared is 25
Two angle are supplementary angle A has a measure of 3x+12 and angle B has a measure of 4x+28, what is the measure of each angle?
Answer:
A measures 72 and B measures 108
Step-by-step explanation:
If the angles are supplementary, that means that they add up to equal 180. 3x + 12 + 4x + 28 = 180. Doing some algebra there gives you that 7x = 140 and x = 20. Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108. And of course, 108 + 72 = 180.
58:35
Compare the given dimensions of four triangles. Which triangle is possible to construct?
• side lengths of 5 ft, 12 ft, and 13 ft
O side lengths of 2 ft, 11 ft, and 15 ft
O side lengths of 3 ft, 7 ff. und 11 ft
O side lengths of 4 ft 8 ft, and 15 ft
Based on my calculations the answer is B
Answer:
D
Step-by-step explanation:
Given y = 4x + 3, what effect does changing the equation to y = 4x - 3 have on the y-intercept?
Answer:
The y-intercept changes from (0, 3) to (0, -3)
Step-by-step explanation:
The y-intercept refers to the point where the graph of a function crosses or intersects with the y-axis. At this point, the value of x is usually 0.
Substitute x = 0 in both equations to determine how the y-intercept changes;
The original equation is given as y = 4x + 3,
when x = 0; y = 4(0) + 3 = 3
The y-intercept is thus (0, 3)
The new equation is given as y = 4x - 3
when x = 0; y = 4(0) - 3 = -3
The y-intercept is thus (0, -3)
Therefore, the y-intercept changes from (0, 3) to (0, -3)
35.
Elfa Beta
Alfa Beta's Objective Book
Any four vertices of a regular pentagon line on a
c) parallelogram d) None
a) circle b) square
36. If two circles touch, the point of contact line on a:
b) quadrilateral c) square .
a) St. line
d) None
37. The domain of the Relation R where R = {(x,y): y = x + x ; x,
and x < 9} will be
a) {x, 2, 3} b) {1, 2, 4, 8; c) {1, 0, 4, 8; d) None
38. A sum of money is divided between Mary and David in the rat
If Mary's Share is Rs. 225, then the total amount of money wil
a) 300 b) 400
c) 585
d) None
39. The angle between the vectors 2î + 39 + k and 29 - 39 - k is
a) "1a 6)" 13
d) None
160-11.27
c)"12
39 ko question solve gara
question no 39 isnot correct. they should be in i j k form
35. c)parallelogram, 36.a) straight line, 37.d) none, 38.d) None, 39.d)None
Question 35
Any four vertices of a regular pentagon will form a parallelogram. This is because the internal angles and lengths are such that selecting any four vertices will always result in the formation of a closed, opposite sides being equal, and opposite angles being equal shape, which is a parallelogram.
Question 36
If two circles touch, the point of contact lies on a straight line. Hence, the correct answer is a straight line.
Question 37
The domain of the relation R where R = {(x,y): y = x + x ; x ≥ 0 and x < 9} will be as follows: we are given that y = x + x^2 and x ranges from 0 (inclusive) to 9 (exclusive). Thus, the possible values for x within these constraints are all integers from 0 to 8. Therefore, the correct domain is
{0, 1, 2, 3, 4, 5, 6, 7, 8} and correct option is d. None
Question 38
If Mary's share is Rs. 225 and it is divided between Mary and David in the ratio 3:2, we first find the portion that represents Mary’s share. Here, Mary’s share is 3 parts and David’s is 2 parts. Together, their shares add up to 5 parts. If 3 parts equate to Rs. 225, then 1 part is Rs. 75. The total amount of money, which is 5 parts, will be 5 * 75 = Rs. 375. Hence, the correct total is Rs. 375.
Question 39
The angle between the vectors 2î + 3ĵ + k and 2î - 3ĵ - k can be found using the dot product formula.
The dot product of A and B, A.B = |A| |B| cos θ. First, compute A.B:
A = 2î + 3ĵ + kB = 2î - 3ĵ - kA.B = (2)(2) + (3)(-3) + (1)(-1) = 4 - 9 - 1 = -6Next, find |A| and |B|:
|A| = √(([tex]2^2) + (3^2) + (1^2)[/tex]) = √(4 + 9 + 1) = √(14)|B| = √(([tex]2^2) + (-3^2) + (-1^2[/tex])) = √(4 + 9 + 1) = √(14)Therefore,
cos θ = A.B / (|A| |B|) = -6 / (√(14) × √(14)) = -6 / 14 = -3 / 7Taking the inverse cosine:
θ = [tex]cos^(-1) (-3 / 7)[/tex]The approximate answer to the angle is around 116 degrees. However, because most multiple-choice sets would give their answers in radians, you would need to adjust accordingly. None of the provided answers exactly match this calculated result, therefore correct option is d. None
Evaluate 5x + (-2x) for x= 3.
0 21
0
-3
Answer:
9
Step-by-step explanation:
5x + (-2x)
Combine like terms
5x -2x
3x
Let x =3
3(3)
9
(80pts) The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got B's?
Make a proportion using the ratio (A:B) given and number of As and Bs really gotten in the class ([tex]\frac{A's}{B's}[/tex])
[tex]\frac{2}{5} = \frac{A}{40}[/tex]
Cross multiply
2 * 40 = 5 * A
80 = 5A
Isolate A by dividing 5 to both sides
80/5 = 5A/5
16 = A
If 40 people in the class got B's then 16 people got A's
Hope this helped!
~Just a girl in love with Shawn Mendes
16 people got A's if there were 40 people who got B's
The ratio of the number of A's in the class to B's in the class is given as:
Ratio = 2 : 5
This can be rewritten as:
A : B = 2 : 5
When there are 40 B's, we have:
A : 40 = 2 : 5
Multiply the second ratio by 8
A : 40 = 16 : 40
By comparison, we have:
A = 16
Hence, 16 people got A's if there were 40 people who got B's
Read more about ratios at:
https://brainly.com/question/1781657
Please help will give brainliest
Answer:
[tex]b = 537[/tex]
Step-by-step explanation:
For this triangle we have to
[tex]a=640\\A=70\°\\B=52\°[/tex]
Now we use the sine theorem to find the length of b:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Then:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(640)\frac{sin(52)}{sin(70)}\\\\b=537[/tex]
are 2/8 and 3/4 equivalent
Step-by-step explanation:
They are not equivalent because :
2/8=1/4 decimal: 0.25
3/4 decimal:0.75
3/4 is greater than 2/8 when they are decimals.
Answer: They are not equivalent.
The other person spelled the word equivalent wrong.
Answer: THEY ARE NOT EQUIVILENT
2/8= .25
3/4=.75
.75≠.25
MAKE ME BRAINLIEST
wll what is the value of y
(105)
A 58
B 122
C
D
142
155
Answer:
D
Step-by-step explanation:
10x - 5 and 7x + 4 are vertical angles and congruent, hence
10x - 5 = 7x + 4 ( subtract 7x from both sides )
3x - 5 = 4 ( add 5 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
7x + 4 and y are same side interior angles and are supplementary, thus
y + 7x + 4 = 180 ← substitute x = 3
y + 21 + 4 = 180
y + 25 = 180 ( subtract 25 from both sides )
y = 155 → D
if the ratio of the length of a rectangle to its width is 3 to 2 . what length of a rectangle whose width is 4 inches?
Answer:
6 in.
Step-by-step explanation:
So first you do 4 divided by 2 to find how much is 1 in the ratio.
4/2 = 2
Then you times 3 by 2
3 x 2 = 6 in.
Answer:
6
Step-by-step explanation:
I did it on plato :))
What is the experimental probability as a decimal
Answer:
P(not red) = 0.6
Step-by-step explanation:
red = 20, blue = 10, green = 9, yellow = 11
total number of times, spinning a four colored spinner = 50
P(not red) = [tex]\frac{10 + 9 +11}{50}[/tex]
= [tex]\frac{30}{50}[/tex]
= 0.6
greast common factor of 52 and 12
Answer:
4 = GCF
Step-by-step explanation:
52/12 = 4.333
52/11 = 4.7272727
52/10 = 5.2
52/9 = 5.77777778
52/8 = 6.5
52/7 = 7.42
52/6 = 8.6666667
52/5 = 10.4
52/4 = 13 --> 4 works but does it work with 12
**check it.
12/4 = 3
**YES** So 4 is the GCF
Hello There!
The Greatest Common Factor Between "12" And "52" Is 4
Help me find Train A's speed speed in miles per hour pleaseeeee
Answer: it should be 25.
Step-by-step explanation: this is because the slope of the line is 25. you can see that because, when finding the slope, you see that it goes up 50 and over 2. 50/2 (rise/run) is 25.
Answer:
25
Step-by-step explanation:
On the graph, you can see the train has traveled from 0 to 150 miles (the Y-axis), and it did that in 6 hours (X-axis).
That means that it traveled 150 miles in 6 hours.
A speed is a distance divided by a time (like miles/hour). So, to get the speed, we need to divide the distance traveled by the time it took to do it:
S = 150 miles / 6 hours = 25 miles per hour
F(x)=a^x,which of the following expressions is equal to [f(1)]^2
[tex]
f(x)=a^x \\
f(1)^2\Longrightarrow f(1)=(a^x)^2 \\
f(1)=\boxed{a^{2x}}
[/tex]
c= [12 0 3/2 1 -6 7 ] What is 4C? its a 2x3 matrix so 12 0 3/2 on top and 1 -6 7 on bottom. The answer is also supposed to be a matrix.
Answer:
[tex]\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
Step-by-step explanation:
4C implies that we multiply each element in C by the constant 4.
12*4 = 48
0*4 = 0
(3/2)*4 = 6
This will be the new elements on top
1*4 = 4
-6 * 4 = -24
7 * 4 = 28
This will be the new elements at the bottom. The required matrix 4C is thus;
[tex]\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
Answer:
The required matrix is:
[tex]4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
Step-by-step explanation:
The matrix given is:
[tex]C=\left[\begin{array}{ccc}12&0&3/2\\1&-6&7\end{array}\right][/tex]
We need to find 4C which means we need to multiply the matrix C with 4. Every entry of matrix will be multiplied by 4.
[tex]4C=\left[\begin{array}{ccc}4*12&4*0&4*3/2\\4*1&4*-6&4*7\end{array}\right][/tex]
Solving:
[tex]4C=\left[\begin{array}{ccc}48&0&12/2\\4&-24&28\end{array}\right]\\4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
SO, the required matrix is:
[tex]4C=\left[\begin{array}{ccc}48&0&6\\4&-24&28\end{array}\right][/tex]
HELP PLEASE!!!!!???!!!!
-Hello There-
B Correct
The area of the original shape will be
multiplied by 9 to get the area of the
image under a dilation with scale
factor 3.
15 × 9 = 135 cm2
The perimeter of the original shape
will be multiplied by 3 to get the
perimeter of the image.
20 × 3 = 60 cm
Help me answer this question please
Answer:
Step-by-step explanation:
√(x)
Shifted 3 units down:
√(x) - 3
Shifted 2 units to the right:
√(x-2) - 3
It's the last one.
ANSWER
[tex]y = \sqrt{x - 2} - 3[/tex]
EXPLANATION
The given equation is
[tex]y = \sqrt{x} [/tex]
This is the parent square root function.
If we apply the transformation;
[tex]y = \sqrt{x - k} - c[/tex]
Then the parent function will shift c units down and k units to the right.
When we the given function 3 units down and 2 units right the equation becomes:
[tex]y = \sqrt{x - 2} - 3[/tex]
WILL GIVE BRAINLIEST, 5/5 RATING, AND LIKE!!!!
There are 3000 people at a concert you survey a random sample of 200 people and find that for 35 of them this is their first concert they have ever attended estimate how many total people are attending their first concert that night
35 out of 200 = 35/200 = 0.175 = 17.5% of the people surveyed are attending their first concert.
Now multiply all the people at the concert by 17.5%
3000 x 0.175 = 525
There are about 525 people total attending their first concert.
Musiclover is right give it to them it’s 525
hundred plus the product of a number and -2 equals 50. What is the number
Answer:
The number is 25
Step-by-step explanation:
We let the number be x. The product of x and -2 is;
x(-2) = -2x
a hundred plus the above product is;
100 + (-2x) = 100 - 2x
The above result is said to be equal to 50;
100 - 2x = 50
2x = 100 - 50
2x = 50
x = 25
the number we are looking for is 25.
The student is asking for help with a basic algebra problem. To solve this problem, we need to set up an equation based on the description provided: 'hundred plus the product of a number and -2 equals 50.' This translates to the algebraic equation 100 + (-2) n = 50. Our goal is to find the value of 'n'.
We first simplify the equation by subtracting 100 from both sides, which gives us -2n = 50 - 100. This simplifies to -2n = -50. Next, we divide both sides of the equation by -2 to isolate 'n'. The simplification gives us n = -50 / -2, which results in n = 25. Therefore, the number we are looking for is 25.
what is the area of this parallelogram
h=2in b=10in
Final answer:
The area of the parallelogram is calculated as the product of its base and height, resulting in 20 square inches.
Explanation:
The area of a parallelogram is calculated using the formula: Base x Height. In this case, the base (b) is 10 inches and the height (h) is 2 inches. Therefore, the area of the parallelogram can be found by multiplying the base by the height:
Area = Base x Height
Area = 10 in x 2 in
Area = 20 square inches
This calculation gives us the total area of the parallelogram in square inches.
The area of a parallelogram given its base and height dimensions as 10 in and 2 in is 20 square inches.
The area of a parallelogram can be calculated using the formula:
Area = Base x Height
Given that the base, b, is 10 inches and the height, h, is 2 inches, the area would be:
Area = 10 inches x 2 inches = 20 square inches
Mary is 21 years old. Her age is 9 years more than 3 times Henry’s age. Which equation can be used to determine x, Henry’s age in years?
Answer:4
Step-by-step explanation:
21=3x+9
12=3x
X=4
Final answer:
To find Henry's age, use the equation 21 = 3x + 9, where x represents Henry's age which is 4.
Explanation:
The question asks to find the equation to determine Henry's age. Given that Mary is 21 years old and her age is 9 years more than 3 times Henry's age, we set up the equation as follows: Let x represent Henry's age. The equation then becomes 21 = 3x + 9. This equation can be used to solve for x, Henry's age which is 12 = 3x; x = 4.
Let f(x) = -2x -2. The graph of g(x) = f(x) + k is shown below. Identify the value of k.
k should be 1, Check by calculating the x values for f(x) and confronting them with g(x)
The graph of g(x) is a vertical shift of the graph of f(x) by 1 unit up. Thus, the value of k is 1.
The graph of g(x) = f(x) + k is a vertical shift of the graph of f(x) by k units. We can see from the graph that the graph of g(x) is shifted up by 1 unit relative to the graph of f(x).
Therefore, the value of k is 1.
To confirm this, we can plug in a point on the graph of g(x) into the equation for g(x) and solve for k.
For example, we can see that the point (-1, 2) is on the graph of g(x). Plugging this point into the equation for g(x), we get:
2 = -2(-1) - 2 + k
2 = 0 - 2 + k
k = 2 + 2
k = 4
However, we know that this cannot be the correct answer, because the graph of g(x) is shifted up by 1 unit relative to the graph of f(x). Therefore, the only possible value of k is 1.
For similar question on vertical shift.
https://brainly.com/question/27925380
#SPJ3
What is the slope intercept equation of the line (0,4) and (2.-2)
Answer:
y= -3x + 4
Step-by-step explanation:
Answer:
[tex]slope=-3\\b=4\\[/tex]
Equation of the line
[tex]y=-3x+4[/tex]
Step-by-step explanation:
To find the slope we need two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] In this case we have the points [tex](0,4)[/tex] and [tex](2, -2)[/tex]
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] (1)
We replace the points in the equation (1)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-2-4}{2-0} =\frac{-6}{2} =-3[/tex]
We know the equation of the line:
[tex]y=mx+b[/tex] (2)
To find b we replace the slope, x and y with one of the points in the equation (2)
[tex]4=-3*0+b\\4=0+b\\b=4[/tex]
We substitute m and b in the general equation of the line
[tex]y=-3x+4[/tex]
Jay rides his bike 6 3/4 miles in 1/3 hour. What is his average speed?
There are three 1/3's in 1 hour: 1/3 +1/3 +1/3 = 3/3 = 1
Multiple the distance he rode by 3:
His speed is: 6 3/4 x 3 = 20 1/4 miles per hour
HELP ASAP MARKING BRAINLEST
what is the radius of the circle with the following equation?
x^2 + (y-3)^2=121
Answer:
The circle's center points are (0,3) and the radius is 11
Step-by-step explanation:
Complete the equation of a line through (-3,3) with a slope of 1/3
y=1/3x+
[tex]\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=\cfrac{1}{3}[x-(-3)] \implies y-3=\cfrac{1}{3}(x+3) \\\\\\ y-3=\cfrac{1}{3}x+1\implies y=\cfrac{1}{3}x+4[/tex]