Given:
The inequality is:
[tex]-4x-7y<15[/tex]
To find:
The whether (-6,3) is a solution of given inequality of not.
Solution:
We have,
[tex]-4x-7y<15[/tex]
We need to check the inequality for point (-6,3).
Substitute [tex]x=-6, y=3[/tex] in the given inequality.
[tex]-4(-6)-7(3)<15[/tex]
[tex]24-21<15[/tex]
[tex]3<15[/tex]
This statement is true. It means the point (-6,3) satisfies the given inequality.
Therefore, the correct option is A. Yes, the ordered pair is a solution.
Which equation best describes the situation below?
5 less than a number is 15.
Let the number is X
So the equation will be X-5 = 15
need help with this question
Answer:
n = 12.5t
Step-by-step explanation:
add up the calories burned in both days
275 + 450 = 725
add up the minutes running on both days
22 + 36 = 58
divide calories by minutes
725 calories/58 minutes = 12.5 calories/1 minute
So 12.5 multiplied by any number of minutes tells you how many calories you burned
The number of calories you burned is dependent on the number of minutes you ran.
find the area of the figure. (picture)
2in
2in
3in
2in
5in
Answer:
29 in.²
Step-by-step explanation:
2 in. × 2 in. = 4 in.²
3 in. × 5 in. = 15 in.²
2 in. × 5 in. = 10 in.²
4 in.² + 15 in.² + 10 in.²
29 in.²
Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4)
Answer:
(4,1);(1,4)
Step-by-step explanation:
The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be y = -x² + 4x + 1
Let the equation of line be y = -x + 5
Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.
Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:
-x² + 4x + 1 = -x + 5
Rearranging the equation, we get a quadratic equation in standard form:
-x² + 4x + x - 1 - 5 = 0
-x² + 5x - 6 = 0
Factoring the quadratic equation, we get:
-(x - 1)(x - 6) = 0
Setting each factor equal to zero and solving for x, we get two potential values for x:
x - 1 = 0 or x - 6 = 0
x = 1 or x = 6
Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:
For x = 1:
y = -1 + 5
y = 4
So, one point of intersection is (1, 4)
For x = 6:
y = -6 + 5
y = -1
So, the other point of intersection is (6, -1).
Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)
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PLEASE HELP!! SHOW STEPS FOR BRAINLIEST! Pythagorean theorem BASED question:
An artist joined three square regions at their
vertices to create the figure shown in the diagram.
The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?
A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.
B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.
C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.
D. None of these
This is a classic proof of the Pythagorean Theorem!
Pythagorean theorem is a^2 + b^2 = c^2. With a square, its area is its side length squared. Therefore, if we think about this as squares, then the sum of the area of square X and square Y will be equal to the sum of square Z.
Looking at your answer choices, the best option is C - The number of tiles needed to cover Region Z is the same number of tiles needed to cover both Region X and Region Y.
Hope this helps!! :)
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Answer:
C
Step-by-step explanation:
find the surface area of a square based pyramid with a side length of 5cm and a slant height of 5cm
Answer:
Step-by-step explanation:
The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base
The slant height is 5 cm
The base perimeter is 4 * 5 cm = 20 cm
The area of the base is 5 cm * 5 cm = 25 cm**2
Plugging into the formula the area =
1/2 * 5 cm * 20 cm + 25 cm**2 =
5 cm * 10 cm + 25 cm**2 =
50 cm**2 + 25 cm**2 = 75 cm**2
I need help looking for the answer,but is my answer correct.
What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25
Answer:
10 Sorry if wrong!
Step-by-step explanation:
40×0.25=10
Answer:
25/100 x 40 = 10
Step-by-step explanation:
The keyword 'of' means multiplication
Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.
BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)
Answer:
take care everyone be safe
stay home , stay safe
take vaccination
What are the angles labeled ?
Answer:
90° angle
Step-by-step explanation:
Every time you see an angle that has a box, it measures 90°
where would the line y=x+7 cross the y axis? how do you know?
Answer:
At point (0, 7)Step-by-step explanation:
The line crosses with y-axis when x = 0:
y = 0 + 7 = 7The y-intercept is the required point and its coordinates are (0, 7)
Sue and oliver share £160 in the ratio 3:5
Work out how much more oliver get conpared to cue.
Answer:
£40
Step-by-step explanation:
3+5=8
160÷8= 20
20× 5=100
20×3=60
100-60=40
Answer:
£40
Step-by-step explanation:
160 shared between 3:5
3 + 5 = 8 (parts)
160 ÷ 8 = 20
20 = 1 part
Sue has 3 parts; (20 x 3) = £60
Oliver has 5 parts; (20 x 5) = £100
Work out how much more oliver get conpared to sue
oliver has £100, sue has £60
£100 - £60 = £40
oliver has £40 compared to sue
HELPPPP ME PLSSS DUE IN 10 MINS FOR 20 POINTS
There are 4 blue tiles and 6 red tiles with the letter A written on them in a bag. In the same bag, there are 2 red tiles and 8 blue tiles with the letter B written on them. What is the probability that a randomly selected tile has the letter B or is blue? Give your final answer as the nearest whole percent.
Answer:
70%
Step-by-step explanation:
4 blue tiles A
6 red tiles A
2 red tiles B
8 blue tiles B
total: 20
total B: 2 + 8 = 10
total blue, not B: 4
p(B or blue) = (10 + 4)/20 = 0.7 = 70%
Work out the area of the parallelogram.
Answer:
Step-by-step explanation:
it does not show the problem
A jar of 150 marbles costs $4.50. If the cost varies directly with the number of marbles in the
jar, what should a jar of 250 marbles cost?
The base of a solid is the region enclosed by y = e^x, the x-axis, the y-axis, and the
line x = 8. Cross sections perpendicular to the x-axis are squares. Find the volume of
the solid.
Answer:
You can use the definite integral to find the volume of a solid with specific cross sections on an interval, provided you know a formula for the region determined by each cross section. If the cross sections generated are perpendicular to the x‐axis, then their areas will be functions of x, denoted by A(x). The volume ( V) of the solid on the interval [ a, b] is
What is the area of a rectangle with side length of 5/12 foot and 2/ 3 foot
Answer:
5/12 x 2/3 = 10/36 = 5/18 foot2
Pls help kendjehdjjekekebwvujfjej
Answer:
B. 4n²+11n-6
Step-by-step explanation:
________________
is .02 equivalent to .002?
Answer:
No
Step-by-step explanation:
0.002 has one extra zero making it smaller than 0.02
Answer:
Step-by-step explanation:
.02 is the same thing as [tex]\frac{2}{100}=\frac{1}{50}[/tex]
.002 is the same thing as [tex]\frac{2}{1000}=\frac{1}{500}[/tex]
so, no, they are not equivalent.
OMG last one please help
Answer:
m<D = 14
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(3) - 4
18 - 4
14
the sum of two consecutive number is 15. the number are and solve
By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,
Let us take :-
First number = x Second number = x + 1According to the Question :-
[tex]\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }[/tex]
Therefore :-
First number = 7 Second number = 8Hence the two numbers are 7 and 8.
a manufacturer made a profit of 60% when he sold each plate for $10. calculate the cost of manufacturing each plate
Answer:
160:10
100:x
160x=1000
x=1000/160
x= $6.25
Write each number as a fraction or Mixed number.
(Please help!!! Im trying to promote! :(
Answer:
0.7 repeating is 7/9
0.04 repeating is 4/99
4.45 repeating 4 4/11
2.19191919...... is 2 19/99
hope this helps
have a good day :)
Step-by-step explanation:
What is the percent decrease from 25 to 15?
Answer: 40%
Step-by-step explanation:
I took the k12 test lol
What is the solution to this equation? log6(x) + log6(3) = log6( x+1)
Answer:
A
Step-by-step explanation:
got it right
The solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2.
What is a logarithm?A logarithm is an exponent or power to which a base must be raised in order to produce a given number. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐn.
How to solve this problem?We know that logₐx + logₐy = logₐ(xy)
Here, log₆(x) + log₆(3) = log₆( x+1)
i.e. log₆(3x) = log₆( x+1)
i.e. 3x = x + 1
i.e. 3x - x = 1
i.e. 2x = 1
i.e. x = 1/2
Therefore, the solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2. So, option A is correct.
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A color wheel is divided into 6 equal pieces.
Select all of the true statements about the pieces of the color wheel. A.
Two pieces have a total of 180°.
B.
Four pieces turn through 240 one-degree angles.
C.
Two 90° angles can fit into 3 pieces of the color wheel.
D.
Two pieces have a total angle measure of 90°.
E.
Each piece has an angle measure of 60°.
Answer:
B,C,E your welcome
Step-by-step explanation:
Answer: b e and c hope this was useful
Check all that apply. is the reference angle for:
A.
1277
4
B.
1577
4
D C
1977
4
D.
777
Answer:
B. C. and D.
Step-by-step explanation:
hey! pls help i’ll give brainliest
Answer:
Option 1
Flood
Step-by-step explanation:
As she lives next to the river heavy rains can cause the water to overflow
Which statement is true about every rectangular pyramid? Each lateral face has an area less than the area of the base. At least two of the lateral faces are congruent. Each lateral face has the same height. At least one of the faces has a whole number base or height.
Answer:
B is correct
Step-by-step explanation: