Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Given
[tex]2y-x=-6[/tex]
Required
Determine the x intercept
To get the value of x intercept; we simply substitute 0 for y;
i.e. y = 0
[tex]2y-x=-6[/tex] becomes
[tex]2(0)-x=-6[/tex]
[tex]0-x=-6[/tex]
[tex]-x=-6[/tex]
Multiply both sides by -1
[tex]-1 * -x=-6 * -1[/tex]
[tex]x=-6 * -1[/tex]
[tex]x = 6[/tex]
Hence, the x intercept is 6
Evaluate the following expression
Answer:
Hope this is correct
Step-by-step explanation:
HAVE A GOOD DAY!
please explain while solving
Answer:
48Step-by-step explanation:
In the picture above
I hope it helps :)
One fourth of a number is added to one fifth of the same number. If the result is 18, find the number
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number.
[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]
[tex]\frac{9}{20} x=18[/tex]
[tex]x=18 \times \frac{20}{9}[/tex]
[tex]x=40[/tex]
If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40
Let the given number be represented by x
One-fourth of the number = x/4
One-fifth of the same number = x/5
One-fourth of the number is added to one fifth of the same number =
x/4 + x/5
The result is 18
This can be represented mathematically as:
x/4 + x/5 = 18
Simplifying the equation above
(5x + 4x)/20 = 18
Cross multiply
5x + 4x = 18(20)
9x = 360
x = 360/9
x = 40
The number = 40
Learn more on word problem here: https://brainly.com/question/21405634
Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
The coordinates of rectangle ABCD are;
A = (-6, -2)
B = (-3, -2)
C = (-3, -6)
D = (-6, -6)
The coordinates of the image are;
A' = (-10, 1)
B' = (-7, 1)
C' = (-7, -3)
D' = (-10, -3)
We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3
For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3
For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3
For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3
Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
Please Hurry!!!! A Newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft above the ground, and then anchored to the ground 4ft from the base of the tree. How much wire is needed for the trees
Answer:
5 ft, I think
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle
Answer:
30° each
Step-by-step explanation:
Complementary angles are those that add up to 90° so if they are all equal then it's
90/3=30°
Answer: 30° each
Complementary angles are those that add up to 90° just to remind you!!
Help a chick out only if u know what u doing
Answer:
for 12:00 1 for 1:00 2
Step-by-step explanation:
this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2
edit: is it right? if it is, may I have brainliest?
if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
Answer:
(f+g) (x)=4x^2+3x/2-7
Step-by-step explanation:
f(x)= x/2-3 and g(x)=4x^2+x-4
(f+g) (x)=?
(f+g) (x)=f(x)+g(x)
(f+g) (x)=x/2-3+4x^2+x-4
combining like terms
(f+g) (x)=4x^2+x/2+x-3-4
(f+g) (x)=4x^2+3x/2-7
hope it helps. Brainliest please
10 ft
8 ft
Find the perimeter of this figure to the
nearest hundredth. Use 3.14
Answer:
48.56 ft
Step-by-step explanation:
==>Given:
A rectangular figure joined with a half circle with the following dimensions:
Length of rectangle (l) = 10ft
Width of rectangle (w) = 8ft
Diameter of the half circle (d) = the width of the rectangle = 8ft
π = 3.14
==>Required:
Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle
==>Solution:
Perimeter of rectangle = 2(l + w)
Perimeter of half circle = ½ of circumference of a circle = ½πd
Perimeter of the figure = 2(10 + 8) + (½*3.14*8)
= 2(18) + (3.14*4)
= 36 + 12.56
Perimeter = 48.56 ft (to the nearest hundredth)
Answer:56.56
Step-by-step explanation:
For the perimeter of a rectangle
P = 2 × (a + b)
P = 2 × (8 + 10)
P = 2 × 18
P = 36
For the perimeter of a semicircle
P = (pi × r) + (2 × r)
Diameter = 8
Radius = 8/2
Radius = 4
P = (3.14 × 4) + (2 × 4)
P = 12.56 + 8
P= 20.56
Perimeter of this figure
P = r + c
P = 36 + 20.56
P = 56.56
Hi. Can somebody help me with this problem
Answer:
draw a table and calculate the x axis and find the x intercept
Step-by-step explanation:
Answer:
The correct answer is ..
(-1,-2)
Step-by-step explanation:
First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)
Hope this helps!
- Quinn <3
You don’t have to explain this just tell me the tight answer
Answer:
The triangles are similar by the AA similarity postulate
Step-by-step explanation:
The only thing we know is that the three angles are the same
70+30 +80 = 180 so the missing angle in each triangle is 80 in the first and 70 in the second
The triangles are similar by the AA similarity postulate
Find x. I need it ASAP
Answer:
x = 27°
Step-by-step explanation:
Because of the two parallel lines, we can conclude that
corner DAB = corner FDE = 2x
In ∆DAB
Corner DAB = 2x
Corner BDA = 2x (given)
Corner ABD = 72 (given)
The sum of three corners in any trianle, adds up to 180°.
So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.
For each corner that is 108/2= 54
so corner BDA = 54° and also corner DAB = 54°.
Given was BDA = 2x and BDA = 54°
so 2x = 54°
then x = 27°
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answer:
58
Step-by-step explanation:
First, find the interior angle adjacent to the angle GFD.
180 - (34+24) = 180 - 58 = 122
Now, the exterior angle = 180 - 122 = 58
hope this helps
Evaluate piecewise functions
Answer:
The answer is 150.
Step-by-step explanation:
Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.
and, S2
inutes)
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is
shown below the column.
tion 1
tion 2
K
J
tion 3
J
K
5
13
tion 4
tion 5
K
J
L
L
tion 6
L
15
tion 7
tion 8
11
7
15
tion 9
tion 10
tion 11
What is the value of L?
tion 12
tion 13
Correct Question
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
Answer:
L=7
Step-by-step explanation:
From the first row: 2J+K=5
Therefore: K=5-2J
From the second column, 2K+J=7
Substitute K derived above into 2K+J=7
2K+J=7
2(5-2J)+J=7
10-4J+J=7
-3J=7-10
-3J=-3
J=1
Recall: K=5-2J
K=5-2(1)=3
K=3
From the third column, J+2L=15
1+2L=15
2L=15-1=14
L=7
Therefore, the value of L=7
CHECK:
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
Harun and Anis have m boys and n girls. How many children do they have?
Using the quadratic formula, which of the following are the zeros of the quadratic equation below
Answer:
the answer for this question is D
Answer:
Correct answer is actually B
Step-by-step explanation:
I used someone’s answer with their work shown for my test
help me, please asap
Answer:
sup!
the answer is
a point on (0,-1) and (1,3)
Step-by-step explanation:
hope this helps
Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
After 5 minutes of stretching, Brittany will exercise for 30 minutes, dividing her time between the two types of machines.
Brittany will spend three times as much time on the stair machine as on the rowing machine.
Write an equation.
Answer:
The equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
Step-by-step explanation:
We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.
Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].
and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].
Now, there are two conditions stated by her trainer;
The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;[tex]x + y = 30 \text{ minutes}[/tex]
The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;[tex]x = 3y[/tex]
So, the equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
These equations can be solved either using the substitution method or the elimination method.
please give answer please please please
Answer:
3/8
Step-by-step explanation:
for the number 1 on spinner a there are 4 possibilites.
same goes for 2,3 and 4. all in all, there is 32 posibilities total.
for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.
in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.
12/32=3/8
Answer:
Its 3/8
Step-by-step explanation:
What is the product of the binomials (4a – 1) and (2b + 3)?
Answer:
8ab+12a-2b-3
Step-by-step explanation:
(4a–1)(2b+3)
Use the FOIL method:
First: 8ab
Outer: 12a
Inner: -2b
Last: -3
8ab+12a-2b-3
Which would be appropriate compatible numbers to use to estimate (19 4/5)(4/6)
Answer:
Approximately 10
Step-by-step explanation:
19 / 5 Approximately 4
4 * 4 = 16
16 * 4 / 64
64 / 6 * = Approximately 10 / 10.6 ish
Actual Answer is 10.133
Which of the following equations has the solution set {0}?
A.) -14m - 7m + 1 = -7m + 1
B.) -14m + 7m + 1 = -7m + 2
C.) 14m - 7m - 1 = -7m + 1
Answer:
Option A
Step-by-step explanation:
[tex]-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}[/tex]
Answer:A
Step-by-step explanation:
-14m-7m+1=-7m+1
then
-14m-7m+7m=1-1
-14m=0
m=0
A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars. What proportion of shirt prices are between 37 dollars and 59.35 dollars? You may round your answer to four decimal places.
Answer:
0.9432
Step-by-step explanation:
Given that
[tex]\\Mean (\mu)= 45[/tex]
[tex]Standard\;Deviation (\sigma)= 5[/tex]
Based on this, the proportion of the shirt price between the given range is
As we know that
For 37 dollars
[tex]z_{ score } = \frac{x-\mu}{\sigma}[/tex]
[tex]z = \frac{37.0-45.0}{5.0}[/tex]
[tex]z_1 = -1.6[/tex]
For 59.35 dollars
[tex]\\ z = \frac{59.35-45.0}{5.0} \\[/tex]
[tex]z_2 = 2.87[/tex]
This results into
= P(37.0 < x < 59.35)
= P(-1.6 < z < 2.87)
= P(Z < 2.87) - P(Z < -1.6)
So,
= P(37.0 < x < 59.35)
= 0.9979 - 0.0547
= 0.9432
Refer to Z score table
liz buys 17 identical tickets for £208.25 estimate the cost of one ticket
Answer:
£12.25
Step-by-step explanation:
Using unit rate:
[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]
£12.25 should be the correct answer.
given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer
all the numbers are roots and powers
Answer:
14
Step-by-step explanation:
We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.
Let us expand all brackets:
[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]
The exponent of b is 14.
What is the length, in units, of segment CD?
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]
[tex] \sin(θ) = \frac{4}{5} [/tex]
[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]
[tex]θ = 53.1 \: (1d.p)[/tex]
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
[tex]ACD = 90 - 53.1 = 36.9[/tex]
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]
[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]
[tex]CD \cos(36.9) = 5[/tex]
[tex]CD = \frac{5}{ \cos(36.9) } [/tex]
[tex]CD = 6.25 units\: (3s.f)[/tex]
determine which function has the greatest rate of change as x approaches infinity f(x)=4x+50, g(x)=3^x-4, h(x)=2x^2+9x-4, there is not enough information to determine the answer
Answer:
g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.
Step-by-step explanation: