5. Resolve into factors. a) 2x + 5x + 3
please do this
Hi there!
[tex]\large\boxed{(2x + 3)(x + 1)}[/tex]
We can split into factors using the "guess and check" method.
Factors are in the format of:
(ax + b)(cx + d), where in this instance:
a · c = 2
bc + da = 5
b · d = 3
Thus, we get:
(2x + 3)(x + 1)
Answer:
2x^2 +5x +3 3*2 =6 and 3+2 = 5
2x2 +2x +3x +3
2x(x +1) + 3(x+1)
(x+1)(2x+3)
Step-by-step explanation:
got some math for yall
Answer:
option A is correct answer
Help math homework sucks
One is given the following information:
Triangle (ABC) is an isosceles triangle (meaning two of its sides are congruentSide (AB = AC)One property of an isosceles triangle is the base angles theorem. This states that in an isosceles triangle, the two angles that are opposite the congruent sides are also congruent. Applying this theorem here, one can state the following:
[tex]AB = AC\\\\m<C = m<B[/tex]
The sum of angle measures in a triangle is (180) degrees. One can apply this here by stating the following:
[tex]m<A+m<B+m<C=180[/tex]
Substitute in the proved information: express angle (<C) in terms of angle (<B).
[tex]m<A+m<B+m<C=180[/tex]
[tex]m<A+m<B+m<B=180[/tex]
Simplify, combine like terms.
[tex]m<A+m<B+m<B=180[/tex]
[tex]m<A+2(m<B)=180[/tex]
Inverse operations: solve for angle (<B)
[tex]m<A+2(m<B)=180[/tex]
[tex]2(m<B)=180-(m<A)[/tex]
[tex]m<B=\frac{180-(m<A)}{2}[/tex]
Simplify,
[tex]m<B=\frac{180-(m<A)}{2}[/tex]
[tex]m<B=90-\frac{(m<A)}{2}[/tex]
Thus, one has proven that the statement ([tex]m<B=90-\frac{(m<A)}{2}[/tex]) is true.
Please note, this proof can be typed in a statement-reason format, where the bolded part of the written words above the statement is the reason.
Solve each of the following quadratic equations.
a. x^2-8x+ 15 = 0
b. 2x^2 - 5x - 6 =0
Answer:
[tex]a. \: \: x = 3 \: \: and \: 5[/tex]
[tex]b. \: \: x = \frac{5± \sqrt{73} }{4} [/tex]Step-by-step explanation:
[tex]a. \: \: \: x^2-8x+ 15 = 0 \\ {x}^{2} - 5x - 3x + 15 = 0 \\ x(x - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5[/tex]
[tex]b. \: \: 2x^2 - 5x - 6 =0 \\ x = \frac{5± \sqrt{73} }{4} [/tex]
Hope it is helpful....3= −4g −5
what is g?
Answer:
3 = - 4g - 5
3 + 5 = - 4g
8 = - 4g
8/-4 = g
-2 = g
* g = -2
The value of g in the equation 3= −4g −5 is -2.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3=-4g-5
Three equal to minus four times of g minus five.
The g in the equation is a variable.
The operator in the given equation is Subtraction which is minus.
We need to find the value of variable g.
By addition property add 5 on both sides
3+5= −4g −5+5
The plus five and minus five will be cancelled in the right side.
3+5=-4g
Add 3 and 5 in left side.
8=-4g
By division property divide both sides by 4
g=-2
Hence, the value of g in the equation 3= −4g −5 is -2.
To learn more on Equation:
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find the GCF of 3,14,5?
Factors for 3: 1 and 3
Factors for 5: 1 and 5
Factors for 14: 1, 2, 7, and 14
Answer:
1
Step-by-step explanation:
Factors for 3: 1 and 3
Factors for 5: 1 and 5
Factors for 14: 1, 2, 7, and 14
Since 1 is the greatest common factor in 3,5,14 ,
GCF = 1
NEED ANSWER ASAP The perimeter of a rectangle is 60m^2 and the length is twice as long as the width. Find the length, width, and area.
Answer:
please perimeter is a summation .
so how can the perimeter be 60^2?
Can someone help me on this please.
Find the measures of
21
and
22
80°
2102°
Answer:
Angle 1 is 22°
Angle 2 is 78°
Step-by-step explanation:
Angles on a straight line always add up to 180°.
To find Angle 2, you would have to do 180° take away 102°.
180-102=78°
Angles in a triangle also add up to 180°.
So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.
80+78=158°
180-158=22°
Hope this helps :)
Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?
Answer:
17 hours
Step-by-step explanation:
total cost = fee + cost per hour * hours
100 = 15 + 5h
Subtract 15 from each side
100-15 = 5h
85 = 5h
Divide by 5
85/5 = 5h/5
17 =h
Answer:
Kim rent the bike for 17 hours.
Step-by-step explanation:
h=hours
15 + 5h = 100
Subtract 15 on both sides.
5h = 85
Divide 5 on both sides.
h = 17
If the formula c=2xr c stands for [blank]
[tex]\huge\mathsf\green{Answer} - [/tex]
f the formula c=2xr c stands for circumference of a circle
hope it helps youi have no idea how to solve this help
Answer:
Length(L) = y
perimeter of square = 4L
since L = y
so perimeter of square is 4y
Light travels at a speed of 3.00 x 10^10 cm/sec. What is the speed of light in km/hr?
Answer:
100 centimeter = 1 meter
1000 meter is 1 kilometer.
so speed is 300000 kilometer/second.
Step-by-step explanation:
There are 3600 seconds in one hour, multiply with 3600=
1080 000 000 kilometer/hour.
Answer:
1.08^9km/hr
Step-by-step explanation:
3 x 10^10cm/ 1s
(3 x 10^10 ÷100÷1000)km / 1÷60÷60
=1.08^9km/hr
5x-4[7+(2x-4)], for x=-3
with shown work please
Answer: -3
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
x= -3
Given expression
5x - 4 [7 + (2x - 4)]
Substitute x value into the expression
=5(-3) - 4 [7 + (2(-3) - 4)]
Simplify by multiplication
=-15 - 4 [7 + (-6 - 4)]
Simplify value in parentheses
=-15 - 4 [7 + (-10)]
Simplify value in bracket
=-15 - 4 [-3]
Simplify by multiplication
=-15 - (-12)
=-15 + 12
=[tex]\boxed{-3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
THE father is 20 years older than his son five years ago he was three times as old as his son was find their present ages (STEP BY STEP PLZ) (HOPE U ENJOY IT)
which of the following to variables would you expect to have no correlation?
A-total of a ice cream sales in amount of births in a city
b-total amount of ice cream sales in amount of ice cream cones used
c-total amount of ice cream sales in temperature outside
d-total amount of ice cream sales in amount of precipitation outside
Step-by-step explanation:
A because the amount of ice cream sales doesn't relate to the number of births in a city.
B works because amount of ice cream sales can relate to money. Both C and D work because temperature could affect when people want to buy ice cream. (people most likely won't buy ice cream in the winter but most likely will in the summer)
Does anyone know how to solve this?
A triangle has angles described as follows: The measure of the first angle is two more than nine times a number, the measure of the second angle is five less than the first, and the measure of the third angle is 19 times the number more than the second angle. What is the measure of each angle in degrees?
Answer:
x = measure of the first angle
2x -5 = measure of the second angle
3x - 19 = measure of the third angle
the sum of the measures of a triangle is 180 degrees
x + (2x-5) + (3x-19) = 180
6x - 18 = 180
x = 33 (first angle)
2x - 5 = 2 (33) -5 = 61 (second angle)
3x - 19 = 3 (33) - 19 = 86 (third angle)
Determine whether each situation is an example of inductive reasoning or deductive reasoning and explain why.
A. The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
B. On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
Select the correct answer from each drop-down menu.
Statement A is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Statement B is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Answer: here it is
Step-by-step explanation:
Statement A is an example of inductive statement, whereas, statement B is a example of deductive statement.
What is inductive reasoning?Inductive reasoning is a method of reasoning in which a body of observations is considered to derive a general principle. It consists of making broad generalizations based on specific observations.
For example,
The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
What is deductive reasoning?Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false.
For example,
On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
Learn more about inductive and deductive reasoning here
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f(x)=1/x; Find f(1/2)
Answer:
2
Step-by-step explanation:
f(x) = 1 / x
f(1/2) = 1 / (1/2)
Reciprocal of 1/2 is 2, since you flip numerator and denominator:
f(1/2) = 2
If the perimeter of a rectangle
is 124m & the width is 35m,
what is the length?
Let length be x
ATQ
[tex]\\ \sf\longmapsto 2(Length+Width)=124[/tex]
[tex]\\ \sf\longmapsto 2(x+35)=124[/tex]
[tex]\\ \sf\longmapsto 2x+70=124[/tex]
[tex]\\ \sf\longmapsto 2x=124-70[/tex]
[tex]\\ \sf\longmapsto 2x=54[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{54}{2}[/tex]
[tex]\\ \sf\longmapsto x=27m[/tex]
8 more than a number is 14. Find the number
Answer:
the answer is 6
Step-by-step explanation:
14 minus 8 is 6
how long does it take jesse to accelerate from rest in his car to a velocity of 180 km/h if the car accelerates at 15 km/h/s
Answer:
I think answer is 195.Is it right make me a braillent
student.
Given the points A(-1, -2), B(-1, 2) and C(6,0), use the distance formula to
classify the triangle
by its sides.
Addison owes his mom $39. He earned $30 for mowing his neighbors lawn and then lent his sister $21. Which expression represents Addison's financial situation?
A. -39 - 30 - 21
B. -39 + 30 - 21
C. 39 - 30 + 21
D. 39 + 30 + 21
Answer:
B
Step-by-step explanation:
because he owes that automatically negative .
he also earns 30 plus dollars
and he gave away 21 dollars and giving away is taking away .
Solve the equation.
30- (x + 5) = 7x-7
The solution is x =
Answer:
[tex] - 30(x + 5) = 7x - 7 \\ - 30x - 150 = 7x - 7 \\ 7x + 30x = - 150 + 7 \\ 37x = - 143 \\ x = \frac{ - 143}{37} \\ x = - 3.864[/tex]
________o____o_____
30–(x+5)=7x-7
30 – x–5 =7x -7
7x+x = 30-5+7
8x = 32
x= 32/8
x=4
I hope I helped you^_^
Which equation represents a line which is parallel to the x-axis?
y = x - 1
y = 8
x = - 5
x = - 3y
Answer:
y = 8
Step-by-step explanation:
The equation of a line parallel to the x- axis has equation
y = c
where c is the value of the y- coordinates the line passes through.
Then
y = 8 ← is equation of line parallel to the x- axis
What is the common difference in the arithmetic sequence -2, -5, -8, -11, -14, ... ?
A. 3
B. -2
C. 2.5
D. -3
Answer:
D. -3
Step-by-step explanation:
d = t2 - t1
d = -5 - (-2)
d = -3
solve for u 2(4u-9)=14
plzzzz
will give brailiest
Answer:
4 is the answer
Step-by-step explanation:
2 (4u-9)=14
8u-18=14
8u=14+18
8u =32
divide by 8
u=4 answer
5x - 7.4 (x - 3) + 8.1
Answer:
-2.4x + 30.3
Step-by-step explanation:
5x - 7.4 (x - 3) + 8.1
5x - 7.4x + 22.2 + 8.1
-2.4x + 30.3
A water park uses 18,000 gallons
of water per day. A golf course
uses 854 gallons of water per day.
A car wash uses 3,360 gallons of
water per day. How many more
gallons of water does the water
park use each day than the golf
course and car wash combined?
u.mmm is a prime number of the queen of the pants down the street and is not