Answer:
1. x > 13
2. x < -2
3. x < 5
Step-by-step explanation:
2x - 3 > 23
→Add 3 to both sides:
2x > 26
→Divide both sides by 2:
x > 13
2x - 3 > 3x - 1
→Subtract 2x from both sides:
-3 > x - 1
→Add 1 to both sides:
-2 > x
5x - 4 < 21
→Add 4 to both sides:
5x < 25
→Divide both sides by 5:
x < 5
Solve the system of equations:
y = x + 2
y= x2 + 5x + 6
A. (0,2)
B. (-2,0)
C. (0, 2) and (2, 4)
O D. (-2,0) and (-3,0)
SUBMIT
The solution for equation is at (-2, 0).
What is linear equation?
When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."
Both linear equations with one variable and those with two variables exist.
Given equations,
y = x + 2
y = x² + 5x + 6
substitute value of y in second equation
x + 2 = x² + 5x + 6
x² + 4x + 4 = 0
x² + 2x + 2x +4 = 0
x(x +2) + 2(x + 2) = 0
(x + 2)(x + 2) = 0
x = -2
and y = x + 2
y = -2 + 2 = 0
Hence, the solution of equation is at x = -2 and y = 0.
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What is the smallest prime that is a factor of the sum 51 + 1?
Answer:
2
Step-by-step explanation:
51+1 = 52
Since 52 is even, obviously the answer is 2.
Hope this helps.
Good Luck
Verify sin^4x-sin^2x=cos^4x-cos^2x is an identity. Please dumb it down, i don't get this lesson.
Answer:
Step-by-step explanation:
cos^2+sin^2 = 1 ( rule)
cos^4x-cos^2x simplify
- cos^2( -cos^2 +1 ) -cos^2 common
or -cos^2 ( 1-cos^2)
since cos^2 + sin^2 = 1
substitute : -cos^2 ( sin^2 )
substitute : -(1-sin^2 ) ( sin^2)
multiply : -sin^2 + sin^4 or sin^4 - sin^2
it is verified that sin^4 -sin^2= cos^4-cos^2
hope it helps
A fish jumps out of water. The function y = −16t 2 + 11t models the height, in feet, of the fish above water after t seconds. A) How long is the fish out of water? B) What is the maximum height of the fish above the water?
Answer:
A) The fish was out of water for 0.6875 seconds.
B) Maximum height = 5.672
Step-by-step explanation:
Height is modeled by;
y = -16t² + 11t
A) To find total time of the fish out of water, we need to find the x - intercept. That is the points where y = 0
So, 0 = -16t² + 11t
So the roots of this equation are;
t = 0 or 0.6875
Thus,the fish was out of water for 0.6875 seconds.
B) y = -16t² + 11t
The x coordinate of the vertex is at - b/2a
For y = -16t² + 11t
a = -16, b = 11, c = 0
So, -b/2a = -11/(2*-16) = 11/32
The maximum height will be at the y-coordinate of the vertex.
Thus, we need to find f(11/32)
f(11/32) = -16(11/32)² + 11(11/32) = 1.890625 + 3.78125 = 5.671875 ≈ 5.672
Brainliest question please help me now plz
Answer:
B
Step-by-step explanation:
trust me bro i gotchu
What is the HIGHEST common factor
of the set of numbers (54, 72, 90}?
Answer:
18
Step-by-step explanation:
54/18=3
72/18=4
90/18=5
Answer:
18
Step-by-step explanation:
GCF of 54, 72, 90 is:
54÷3= 18
72÷4= 18
90÷5= 18
The GCF of 54, 72, and 90 is 18.
Find the 22nd term in the arithmetic sequence -5, -9, -13, -17, -21
Answer:
-93
Step-by-step explanation:
it decreases by four every time, so take -4 times 22 and then subtract 5.
A triangular prism has a height of 9 m. The area of a triangular base measures 16 m². What is the volume of a triangular prism?
Possible answers are 15,60,72,144 cubic meters. What one is correct?
Answer:
144m^3
Step-by-step explanation:
the probability of rolling factors of 6 on both dice
Answer:1/6
Step-by-step explanation:
What else would need to be congruent to show that ABC= ADEF by AAS?
B
10
10
30"
30°7
A
С
D
•F
.
A. ZA ZD
B. ZA= 2C
C. AC = DF
O D. BC = EF
To show that ABC =DEF by AAS congruent postulate, (A) [tex]\angle A \cong \angle D[/tex]
How to complete the congruent postulate?The given parameters are:
AB = DE = 10
[tex]\angle C \cong \angle F = 30^o[/tex]
The above highlight show that one side and one angle of the triangle are congruent
To complete the AAS postulate, one other corresponding angle must be congruent.
From the figure, points A and D are corresponding points
Hence, to show that ABC =DEF by AAS congruent postulate, (A) [tex]\angle A \cong \angle D[/tex] must be true
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The reason needs to show the triangles are congruent by AAS is ∠A ≅ ∠D.
What are congruent triangles?Two triangles are said to be congruent if their corresponding parts are congruent with each other.
Given that, triangles ΔABC, and ΔDEF, need to be congruent by AAS rule,
∠C ≅ ∠F, AB = DE, we need to find one more reason,
AAS rule :-
AAS or Angle Angle Side congruence rule states that if two pairs of corresponding angles along with the opposite or non-included sides are equal to each other then the two triangles are said to be congruent.
So, the reason must be ∠A ≅ ∠D.
Hence, the reason needs to show the triangles are congruent by AAS is ∠A ≅ ∠D.
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What is the equation, in point-slope form, of the line that is
perpendicular to the given line and passes through the
point (-4, 3)?
y-3 = -2(x + 4)
Y-3 = -
2(x+4)
y-3 = {(x + 4)
Y-3 = 2(x + 4)
Answer:
y=1/2x+5
Step-by-step explanation:
the perpendicular line equation's slope is a negative reciprocal, so the new equation's slope is 1/2. so now you have y=1/2x+b plug in (-4,3) to find b. so you will do 3=1/2(-4)+b. 3=-2+b and then you solve for b. you would get b=5. so, the new equation is y=1/2x+5
Choose one question from the chart and complete it showing all steps. :)
Answer:
Question 1
Volume of a cylinder = πr²h
r= radius h= height
diameter = 2*radius
diameter = 2* 4cm= 8cm
Volume = π × 4² × 11
= 553.14cm³
The volume of prism A is 60 cubic units, and the volume of prism B is half the volume of prism A. What is the value of a?
Answer:
5
Step-by-step explanation:
V= Bh
volume of figure A is 60, and the volume of figure B is half.
figure B:
B= 3*4
B= 12
60=12*h
5=h
the value of a is 5.
The value of a in the prism is 3 units.
What is prism?In three-dimensional space,
a prism is a polyhedron where two ends are similar.
Given:
The volume of prism A is 60 cubic units,
and the volume of prism B is half the volume of prism A.
The base area of the prism B is 20 square units.
The volume of the prism,
V = Ba, where B is the base area and a is the height.
So,
60 = 20a
a = 3 units
Therefore, the value of a is 3 units.
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The complete question:
The volume of prism A is 60 cubic units, and the volume of prism B is half the volume of prism A. The base area of the prism B is 20 square units.
What is the value of a?
Re-write the statement 19+7÷2×6+1 by including two pairs of brackets to make the total value equal to 2.
(19+7)(2×6+1)
Step-by-step explanation:
(19+7)/(2×6+1) = 2
26/13 = 2
2 = 2
plzzz help me i will mark you as brainliest
Answer:
10/12
Step-by-step explanation:
6*2=12 so
5*2=10
The algebraic rule for a reflection over the x-axis is one for the following:
Answer: C
Step-by-step explanation:
Reflection in the x -axis:
A reflection of a point over the x -axis is shown. The rule for a reflection over the x -axis is (x,y)→(x,−y) .
Sophie and Jackson are reading the same book. At the beginning of the month, Sophie was on page 20 and Jackson was on page 50. Sophie will read 10 pages per day and Jackson will read 5 pages per day. Let S represent the page of the book that Sophie is on at the end of t days into the month, and let J represent the page of the book that Jackson is on at the end of t days into the month. Graph each function and determine after how many days t Sophie and Jackson will be on the same page of the book.
Answer:
t = 6 days
Step-by-step explanation:
We can model both cases with linear equations in the form:
y = ax + b
Sophie was on page 20 and she reads 10 pages per day, so her equation is:
S = 20 + 10t
Jackson was on page 50 and he reads 5 pages per day, so his equation is:
J = 50 + 5*t
The graph of those equations are in the image attached (The blue line is for Sophie and the orange line is for Jackson)
To find after how many days they will be on the same page, we can make S = J and then find the value of t:
20 + 10t = 50 + 5t
5t = 30
t = 6 days
Which object shown below could we slice perpendicular to its base/face to create a trapezoid cross-section
Answer:
B
Step-by-step explanation:
Jacob wants to know the favorite sport among sixth grade students. Which types of survey below with give Jacob valid results?
A) randomly survey students in the middle school
B) randomly survey six grade students inside the football store
C) randomly survey six grade students inside the school cafeteria
D) randomly survey six grade students inside the tennis shop
Answer I think
:randomly survey six grade students in the school cafeteria
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Randomly surveying 6th graders in the school cafeteria would give jacob valid results because A wouldn't be reliable, because he just wants 6th graders, and B and D would be selective as it would be inside a football store, implying that most 6th graders in there would be tending towards football, and D would be inside a tennis shop, which would imply that most 6th graders there would prefer football. Therefore, the cafeteria would yield the most reliable results.
simplify 6*3+4+2*3(15)+*2
Answer:
114.
Step-by-step explanation:
remove parenthesis multiply the numbers 6 x 3 + 1818 + 4 + 2 x 3 x 15 + 2
multiply the numbers 2 x 3 x 15 + 90
18 + 4 + 2 + 90 + 2
add the numbers : 18 + 4 + 2 + 90 + 2
= 114!
A ball is kicked from an initial height of 2.5 feet with an initial velocity of 45 feet per second. The function ƒ(x) = −16x^2 + 45x + 2.5 models its
path, where x is the time (in seconds) the ball travels and ƒ(x) is the height (in feet) the ball is kicked. What is the height of the ball 2 seconds after it is kicked?
Answer:
28.5 ft
Step-by-step explanation:
The height of a ball is given by the equation ƒ(x) = −16x² + 45x + 2.5 where x is the tome the ball travels. To find the height of the ball after a seconds, we substitute a in place of x, the equation becomes:
ƒ(a) = −16a² + 45a + 2.5.
Therefore if the height of the ball is needed to be found after 2 seconds, we find f(2).
ƒ(2) = −16(2)² + 45(2) + 2.5 = -64 + 90 + 2.5 = 28.5 ft
f(2) = 28.5 ft
How do I do congruent figures
Answer:
make them the same
Step-by-step explanation:
hope this helps
Find the value of x
Answer:
98
Step-by-step explanation:
Angles in a triangle: 180
Supplementary Angles: 180
180-122=58
58+24=82
180-82=98
On a farm, 34 of each acre is planted with blue spruce trees. If there are 16 12 acres of trees on the farm, how many acres are planted with blue spruce trees?
Answer:
1209 acres
Step-by-step explanation:
On the farm, 3/4 of the acre is planted with blue spruce trees.
There are 1612 acres on the farm. Therefore, the number of acres planted with blue spruce trees is:
3/4 * 1612 = 1209 acres
Factor the gcf 15m^3+24m^2+25m+40
Answer:
Step-by-step explanation:
3m^2(5m+8) + 5(5m +8)
(3m^2+5)(5m+8)
PLEASE HELP ASAP 100 PTS WILL MARK BRAINLYIEST If f(x) = (x + 7)^2, which of the following is g(x), based on the translation? g(x) = (x + 9)^2 g(x) = (x + 5)^2 g(x) = (x + 7)^2 + 2 g(x) = (x + 7)^2 − 2
Answer: g(x)=(x+7)²-2
Step-by-step explanation:
For this problem, you will need to know what each part fo the function does. You can see that g(x) is the bottom function and f(x) is the to function. F(x) has traveled down to -2. You know that the y-intercept is -2. The only answer choice with -2 as y-intercept is g(x)=(x+7)²-2.
Answer:
g(x) = (x + 7)^2 -2
Step-by-step explanation:
f(x) = (x + 7)^2
We are shifting the function down 2 units
f(x) -b where b is 2
g(x) = f(x) -2
g(x) = (x + 7)^2 -2
Please solve the question.
Answer:
a = 125°, b = 20°, c = 35°, d = 90°, e = 55°
Step-by-step explanation:
Quadrilateral PQRS is inscribed in a circle, therefore it is a cyclic quadrilateral.
PQ is diameter, SR is chord and PR is transversal such that:
PQ || SR... (given)
[tex] m\angle PRQ = 90°..(\angle \: inscribed \: in\: semicircle) \\
\huge \red {\boxed {\therefore d = 90°}} \\\\
m\angle RPQ= m\angle PRS .. (alternate \: \angle s) \\
\huge \purple {\boxed {\therefore c = 35°}} \\\\
In\: \triangle PQR, \\
c + d + e = 180°\\
35° + 90° + e = 180°\\
125° + e = 180°\\
e = 180° - 125°\\
\huge \orange {\boxed {\therefore e = 55°}} \\\\
a + e = 180°...(opposite \:\angle 's \: of \: cyclic \: quadrilateral) \\
a + 55°= 180°\\
a = 180°- 55°\\
\huge \blue {\boxed {a = 125°}} \\\\
In\: \triangle PSR, \\
a + b + 35°= 180°\\
125° + b + 35° = 180°\\
160° + b = 180°\\
b = 180° - 160°\\
\huge \pink {\boxed {b = 20°}}
[/tex]
A circular cardboard piece is needed for the base of a volcano model. The volcano is 46 centimeters tall and has a volume of 890 cubic centimeters. Which equation can be used to find the area of the circular base?
Answer: its A
sorry if im wrong
The equation 890 = 1/3 B(46) can be used to find the area of the circular base .
What is Area ?Area is the space enclosed within the perimeter of the given shape.
It is given in the question that Area of the base of a volcano has to be determined.
The structure of a volcano is that of a Cone
Area of a conical structure is given by
V = (1/3) * height * (radius)²
890 = 1/3 (radius)²(46)
V = 890 h = 46
area of a circle = π (radius)²,
890 = 1/3 B(46)
If B = (radius)²
Therefore Option D is the correct answer
890 = 1/3 B(46) equation can be used to find the area of the circular base .
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Need help with this!!
Answer:
last one
Step-by-step explanation:
the domain includes all real numbers and the range is y>0
100 students in a classroom like iPhone or Samsung or both of them. Out of them, 40 like both mobiles. If the ratio of the number of students who like iPhone and Samsung is 3:2, Find the number of students who like iPhone only.
Answer:
36 like iphone only
Step-by-step explanation:
You know that 40 people like both so you can already get them out of the way. That leaves you with 60 people and if we are dividing them into 5ths then 1/5 = 12 people. If the ratio is 3:2 then you can just multiply 3 x 12 to get 36 and then 2 x 12 to get 24 and that equals 60 and added to your 40 who like both, you get 100 students.