First find the x and y values because where the lines will intersect, they share the point of the intersection so they will share the x and y coordinates.
Rearrange equations
[tex]4x + y = 19[/tex]
[tex] - 2x + y = 1[/tex]
To cancel y, we must do equation 1 minus equation 2. Similarly:
[tex]4x - - 2x = 4x + 2x = 6x[/tex]
[tex]19 - 1 = 18[/tex]
[tex]6x = 18[/tex]
[tex]x = 18 \div 6 = 3[/tex]
So the x coordinate is 3.
The y coordinate can be found with substitution of x into one of the equations:
[tex]y = 2x + 1 = 2(3) + 1 = 7[/tex]
So where the two lines intersect is at the point (3, 7), which is the solution to the equations.
Answer:
The correct option is 2.
Step-by-step explanation:
The given system of equations is
[tex]y=-4x+19[/tex] ..... (1)
[tex]y=2x+1[/tex] ..... (2)
The slope intercept form of a line is
[tex]y=mx+b[/tex] .... (3)
where, m is slope and b is y-intercept.
From (1) and (3), we get
[tex]m=-4,b=19[/tex]
The slope of first line is -4 and the y-intercept is 19. It means it is a decreasing line and intersect the y-axis at (0,19).
From (2) and (3), we get
[tex]m=2,b=1[/tex]
The slope of first line is 2 and the y-intercept is 1. It means it is an increasing line and intersect the y-axis at (0,1).
Put y=0, to find the x-intercepts.
[tex]0=-4x+19\Rightarrow x=\frac{19}{4}=4.75[/tex]
[tex]0=2x+1\Rightarrow x=\frac{-1}{2}=-0.5[/tex]
Therefore the x-intercept of first line is 4.75 and the x-intercept of the second line is -0.5.
Only the second graph satisfy all the above condition.
One solving the given equation we get
[tex]-4x+19=2x+1[/tex]
[tex]19-1=2x+4x[/tex]
[tex]18=6x[/tex]
Divide both sides by 6.
[tex]3=x[/tex]
Put this value in equation (1).
[tex]y=-4(3)+19=-12+19=7[/tex]
Therefore the solution of the given system of equation is (3,7).
Hence the correct option is 2.
I little help pls with dis it permutations
1680 is the PERMUTATION answer.
HELP ME NOW ANYONE!! Picture included!
Answer:
62°
Step-by-step explanation:
The 2 shown angles form a straight angle and sum to 180°, that is
7x + 20 + 4x + 6 = 180
11x + 26 = 180 ( subtract 26 from both sides )
11x = 154 ( divide both sides by 11 )
x = 14
the acute angle = 4x + 6 = (4 × 14) + 6 = 56 + 6 = 62°
Please solve thank you
Answer:
The correct answer would be H
Step-by-step explanation:
H
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?>?>?>>??>Find the area of the kite.
Check the picture below.
[tex]\bf \stackrel{\textit{area of triangles on the left}}{2\left[\cfrac{1}{2}(2)(3) \right]}+\stackrel{\textit{area of triangles on the right}}{2\left[\cfrac{1}{2}(4)(3) \right]}\implies 6+12\implies 18[/tex]
A trapezoid has bases that measure 10 cm and 6 cm. The height of the figure is 15 cm. What is the area of the trapezoid?
Answer:
120 cm^2
Step-by-step explanation:
Area of trapezoid = [tex]\frac{1}{2} (a + b) h[/tex]
a - 6
b - 10
h - 15
[tex]\frac{1}{2} (6+10)15[/tex]
[tex]\frac{1}{2} (16)15[/tex]
[tex]\frac{1}{2} * 240[/tex][tex]\frac{240}{2}[/tex]
= 120 cm ^2
Answer: 120cm
Step-by-step explanation:
in e2020 its thanx for the answer mark me the brailiest pleaseeee;)
Find the vertex: -4x² + 16x - 7
Find the vertex: -4x^2 + 16x - 7
Vertex = ( x, f(x)).
x = -b/2a
x = -16/2(-4)
x = -16/-8
x = 2
f(x) = -4x^2 + 16x - 7
Let x = 2
f(2) = -4(2)^2 + 16(2) - 7
f(2) = -4(4) + 32 - 7
f(2) = -16 + 32 - 7
f(2) = 16 - 7
f(2) = 9
Vertex = (2, 9)
Consider the net of a triangular prism where each unit on the coordinate plane represents five feet. If a can of spray paint covers 25 square feet, how many cans of spray paint are needed to paint the outside of the prism blue? A) 5 cans B) 7 cans C) 10 cans D)14 cans
Answer:
B) 7 cans
Step-by-step explanation:
First task is to determine how many square units we have.
With the rectangle spanning 2 units on the X-axis and 3 unites on the Y-axis, we know that it has an area of 6 square units.
The two triangle shapes sum up to one unit total, since a triangle's area is (base * height) / 2. Both have a base of 1 unit, and a height of 1 unit... so (1 * 1) / 2 = 1/2 for each triangle. Together, they occupy 1 unit.
So, total is 7 square units. Let's imagine it as a 7-unit by 1-unit rectangle, it will be easier to calculate. Each unit is 5 feet. So, this rectangle measures 35 (7 * 5) feet long, by 5 (1 * 5) feet wide... for a total of 175 (35 * 5) sq feet.
Since a can of paint can cover 25 sq feet, he'll need 7 cans (175 / 25).
I need this answer fast! Please!
Answer:
[tex]\large\boxed{\begin{array}{c|c|c|c}Length:&4cm&2cm&8cm\\Width:&6cm&12cm&3cm\\Height:&9cm&9cm&9cm\end{array}}[/tex]
Step-by-step explanation:
The formula of a volume of a cube with side length a:
[tex]V=a^3[/tex]
We have a = 6cm. Substitute:
[tex]V=6^3=216\ cm^3[/tex]
[tex]\begin{array}{c|c}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}[/tex]
[tex]216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2)\cdot(2\cdot3)\cdot(3\cdot3)=4\cdot6\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=2\cdot(2\cdot2\cdot3)\cdot(3\cdot3)=2\cdot12\cdot9\\\\216=2\cdot2\cdot2\cdot3\cdot3\cdot3=(2\cdot2\cdot2)\cdot3\cdot(3\cdot3)=8\cdot3\cdot9\\\vdots[/tex]
Find the indicated limit, if it exists.(7 points)
limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less than 0, 7 when x equals 0, and 10 x plus 7 when x is greater than 0
Choices below
3
10
7
The limit does not exist.
Answer:
7
Step-by-step explanation:
The left hand limit is when we approach zero from left. We use the function on this domain in finding the limit.
[tex]\lim_{x \to 0^-} f(x)=7-x^2[/tex]
[tex]\lim_{x \to 0^-} f(x)=7-(0)^2=7[/tex]
The right hand limit is
[tex]\lim_{x \to 0^+} f(x)=10x+7[/tex]
[tex]\lim_{x \to 0^+} f(x)=10(0)+7=7[/tex]
Since the left hand limit equals the right hand limit;
[tex]\lim_{x \to 0} f(x)=7[/tex]
A triangle prism has a height of 9 m in triangle base with the following dimensions.
Answer:
36 meters, A
Step-by-step explanation:
I assume that P is the perimeter
So, all you have to do is count the sides and add them up
10+16+10=36 meters
Look at picture. Question 1
Answer:
x = 18Step-by-step explanation:
Look at the picture.
ΔABC and ΔDBE are similar.Therefore the corresponding sides are in proportion:
[tex]\dfrac{DE}{AC}=\dfrac{DB}{AB}[/tex]
We have
[tex]DE=x,\ AC=36,\ DB=y,\ AB=y+y=2y[/tex]
Substitute:
[tex]\dfrac{x}{36}=\dfrac{y}{2y}[/tex] cancel y
[tex]\dfrac{x}{36}=\dfrac{1}{2}[/tex] cross multiply
[tex]2x=36[/tex] divide both sides by 2
[tex]x=18[/tex]
when buying a candy bar, there is a 20% chance that it will also include a coupon for a second candy bar. a student wants to determine the probability that, if she buys 7 candy bars, more than 2 will include a coupon.
Answer:
these are the answers -
i took the test theses were the answers -
A1 = more than two 1s
A2 = 0.4286
hope this helped !
Answer:
0.148
Step-by-step explanation:
Given that
probability that a candy will include a coupon for second candy bar = 0.20
Each candy having a coupon is independent of the other also there ae ony two outcomes.
Hence X no of candies which attract a coupon for second candy is binomial
with n = 7 and p = 0.20
Probability that if she buys 7 candy bars, more than 2 will include a coupon.
=P(X>2)
=P(x=2)+P(X=3)+P(x=4)+P(x=4)+P(X=5)+P(x=6)+P(x=7)
=0.148
Which inequality statement is true?
3\4 < 0.80
3\4 > 0.80
7\15 > 0.50
0.50 > 5\7
Answer:
[tex]\large\boxed{\dfrac{3}{4}<0.80}[/tex]
Step-by-step explanation:
[tex]\dfrac{3}{4}=0.75\\\\\text{therefore}\\\\\dfrac{3}{4}<0.89\ \text{is}\ \bold{TRUE}\\\\\dfrac{3}{4}>0.80\ \text{is}\ \bold{FALSE}\\\\\dfrac{7}{15}<\dfrac{1}{2}=0.50\ \text{because}\ \dfrac{7.5}{15}=\dfrac{1}{2}.\ \text{Therefore}\ \dfrac{7}{15}>0.50\ \text{is}\ \bold{FALSE}\\\\\dfrac{5}{7}>\dfrac{1}2{=0.50\ \text{because}\ \dfrac{3.5}{7}=\dfrac{1}{2}.\ \text{Therefore}\ 0.50>\dfrac{5}{7}\ \text{is}\ \bold{FALSE}[/tex]
A is the answer to this question
brainiest
Shelly bought 7 boxes of fish food and 2 packets of cat food. Each box of fish food contained 6 pouches, and each packet of cat food contained 4 pouches. How many more pouches of fish food than cat food did Shelly buy?
Answer: 34 more pouches
7 boxes - fish food; 1 box contained 6 pouches
Total amount of fish food is 7 × 6 = 42 pouches of fish food
2 packets - cat food; 1 packet contained 4 pouches
Total amount of cat food is 2 × 4 = 8 pouches
How many more pouches of fish food than cat food did Shelly buy?
42 pouches - 8 pouches = 34 pouches
Therefore there was 34 more pouches of fish food than cat food
What is the volume of the cone shown below?
17 cm
16 cm
Answer:
V = 1138.77333333 cm^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
We know the diameter so we can find the radius
d = 16
r = d/2
= 16/2 =8
The radius is 8
V = 1/3 pi (8)^2 * 17
V = 1088/3 *pi
Using 3.14 for pi
V = 1138.77333333 cm^3
Jeremy uses 27 inches of board for each birdhouse he builds. How many yards of board does he need to make 6 birdhouses?
Answer:
[tex]4.5\ yd[/tex]
Step-by-step explanation:
step 1
we know that
Jeremy uses 27 inches of board for each birdhouse
so
by proportion
Calculate how many inches of board does he need to make 6 birdhouses
[tex]\frac{27}{1}\frac{in}{birdhouses}=\frac{x}{6}\frac{in}{birdhouses} \\ \\x=6*27\\ \\x=162\ in[/tex]
step 2
Convert inches to yards
[tex]1\ yd =36\ in[/tex]
[tex]162\ in=162/36=4.5\ yd[/tex]
Answer:
Answer:
4y
Step-by-step explanation:
step 1
we know that
Jeremy uses 27 inches of board for each birdhouse
so
by proportion
Calculate how many inches of board does he need to make 6 birdhouses
step 2
Convert inches to yards
Step-by-step explanation:
Solving for Matrices
Answer:
option A
[tex]\left[\begin{array}{ccc}9&-4&-5|9\\7&4&-4|-1\\6&-6&1|-5\end{array}\right][/tex]
Step-by-step explanation:
Steps to write equations in augmented form
Step 1
Write the coefficients of the x-terms as the numbers down the first column
Step 2
Write the coefficients of the y-terms as the numbers down the second column
Step 3
Write the coefficients of the z-terms as the numbers down the third column
Step 4
Write the constants which are in the end of equation in fourth column
Answer:
a. [tex]\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right][/tex]
Step-by-step explanation:
The given matrix is
9x-4y-5z=9
7x+4y-4z=-1
6x-6y+z=-5
The augmented matrix is the coefficient matrix combined with the constant matrix.
The coefficient matrix is obtained by writing the coefficient of the variables as a matrix.
The constant matrix is obtained by writing the constants as a column matrix.
Combining the two gives the augmented matrix;
[tex]\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right][/tex]
write an eqaution using for an expotional
I’m assuming you’re saying with an exponent. 7x^2+5
Answer:
7x^2+5
Step-by-step explanation:
A sapling that started out 14 inches tall grew 4 inches per year. How old was the sapling when it was 46 inches tall?
Answer:
8 years old
Step-by-step explanation:
46 - 14 = 32 inches of growth
32 inches / 4 inches = 8 years
Name the property for the given statement. 8•4=8•4
Answer:
reflexive property
Step-by-step explanation:
it equals the same
hope this helps :)
Correct. It is the reflexive property
Because it equals the same
(3a) 3 = This expression without exponents is 3aaa 3·3·3a 3a3a3a 3·3·3a 3
Answer:
[tex]3a\times 3a\times 3a[/tex]
Step-by-step explanation:
The given expression is;
[tex](3a)^3[/tex]
Recall that;
[tex]a^m=a\times a\times \times a....[/tex] m-times.
In [tex](3a)^3[/tex] means
[tex]3a\times 3a\times 3a[/tex]
The correct choice is the third option
Answer:
3a x 3a x 3a
Step-by-step explanation:
solve the system by substitution.x+5y=-8 -6x+8y=10
Answer:
y=-1, x=-3
Step-by-step explanation:
First isolate x:
x+5y-5y=-8-5y
x=-8-5y
Then substitute (-8-5y) for x:
-6(-8-5y)+8y=10
Distribute and solve for y:
48+30y+8y=10
38y-48=10-48
38y=-38
y=-1
Use y to solve for x:
x+5(-1)=-8
x-5=-8
x-5+5=-8+5
x=-3
The cylinder shown has a volume of 90 cubic units. The cone and the cylinder have the same height and the same base.
What is the volume of the cone?
I NEED THIS FAST ILL MARK YOU AS BRAINILIST
The volume is 45 I think
The cylinder shown has a volume of 90 cubic units. The cone and the cylinder have the same height and the same base. The volume of the cone will be 30 cubic units.
What is a cone?It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
Given:
The volume of the cylinder= 90 cubic units
The volume of the cylinder=πr²h
90 cubic units=πr²h
The volume of a cone is;
[tex]\rm V= \frac{1}{3} \pi r^2h \\\\ V=\frac{1}{3} \times 90 \ cubic units \\\\ V=30 \ cubic \ units[/tex]
Hence, the volume of the cone will be 30 cubic units.
To learn more about the cone, refer to the link;
https://brainly.com/question/16394302
#SPJ2
How do I solve this to find angle G?
Answer:
Step-by-step explanation:
The angle at E is 90 degrees.
All tangents of a circle always meet the radius at a 90 degree angle.
90 + 67 + G = 180o All triangles have 180 degrees. Combine left.
157 + G = 180o Subtract 157 from both sides.
157 - 157 + G + 180 - 157
G = 23
which is the graph of f(x)=2(3)^x?
Answer:
Step-by-step explanation:
y = 2*3^x
x = 1
y = ?
y = 2*3^1
y =2 * 3
y = 6
The answer is the first graph.
A speed limit sign that says “NIGHT” indicates the_____ legal speed between sunset and sunrise.
B answer choice is always b
Answer:
B. Maximum.
Explanation:
The basic speed rules require drivers to adjust speed to the conditions. The Night speed limits usually begin 30 minutes after sunset and 30 minutes before sunrise. They are used for sectors in which the safety problems require a speed lower than the self-selected by drivers.
I hope this answer helps you.
Classify 65 by naming all of the sets to which it belongs (whole number,integer,rational number,real number).
A.Real
B.Rational,Real
C.Integer,Rational,Real
D.Whole,Integer,Rational,Real
Answer:
whole number, integer, real numberrational
Step-by-step explanation:
Please help will give brainliest
This relation is a function because a function [tex]f[/tex] from a set [tex]A[/tex] to a set [tex]B[/tex] is a relation that assigns to each element [tex]x[/tex] in the set [tex]A[/tex] exactly one element [tex]y[/tex] in the set [tex]B[/tex]. The set [tex]A[/tex] is the domain (also called the set of inputs) of the function and the set [tex]B[/tex] contains the range (also called the set of outputs). So we have that:
[tex]\left[\begin{array}{cc}x & y\\4 & 5\\8 & 7\\12 & 9\\16 & 11\end{array}\right][/tex]
All these points have been plotted below, so you can realize this is a linear function. Therefore, with two points we can get the equation, so:
[tex]The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1}) \\ \\ \\ y-5=\frac{7-5}{8-4}(x-4) \\ \\ y-5=\frac{2}{4}(x-4) \\ \\ y=\frac{1}{2}x+5-2 \\ \\ y=\frac{1}{2}x+3 \\ \\ \\ Where: \\ \\ (x_{1},y_{1})=(4,5) \\ \\ (x_{2},y_{2})=(8,7)[/tex]
Finally, the equation is:
[tex]\boxed{y=\frac{1}{2}x+3}[/tex]
1/2x+3/2(x+1)-1/4=5
Answer: x=15/8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/2 x+(3/2)(x)+ (3/2)(1) + −1/4 =5(Distribute)
Then, Combine like terms:
(1/2x + 3/2x) +(3/2 + −1/4) =5(Combine Like Terms)
Which you will get : 2x+ 5/4 =5
Step 2: Subtract 5/4 from both sides.
2x+ 5/4 − 5/4 =5− 5/4
2x= 15/4
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{15/4}{2}[/tex]
x = 15/8 ← Answer
* Hopefully this helps: ) Mark me the brainliest:)!!
~ 234483279c20~
Is this right an of it’s not can you help me ??
Answer:
15. 6 ft
Step-by-step explanation:
Your calculation is correct
note h = 15.6 ft ( to the nearest tenth of a foot )
Yes,your calculation is correct