Answer:
[tex]x=0.5, \\\\x=-4[/tex]
Step-by-step explanation:
Factoring is the process by which one rewrites an equation or number out as the product of many numbers or expressions. In the given situation, one is asked to factor the following equation,
[tex]2x^2 +7x - 4=0[/tex]
In factored form,
[tex](2x-1)(x+4)=0[/tex]
Use the zero product property, this states that any number times zero equals zero. Therefore, set each factor equal to zero and solve for the parameter (x),
[tex]2x-1=0[/tex]
Inverse operations,
[tex]2x=1\\x=0.5[/tex]
[tex]x+4=0[/tex]
Inverse operations,
[tex]x=-4[/tex]
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]x =\frac{1}{2},-4[/tex]
[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]
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Three yrs hence, a men will be three time his brother age and the sum of present age is 18 find their present age
Answer:
Step-by-step explanation:
Let the age of a man = x
Age of his brother = y
Three yrs hence, a man will be three time his brother age
This is written as:
x + 3 = 3(y + 3)
x + 3 = 3y + 9 .... Equation 1
The sum of present age is 18
= x + y = 18
x = 18 - y
We substitute 18 - y for x in Equation 1
find their present age
18 - y + 3 = 3y + 9
Collect like terms
21 - 9 = 3y + y
12 = 4y
y = 12/4
y = 3 years
x = 18 - y
x = 18 - 3
x = 15 years
Write the point-slope form of the equation of the line through the given points.
(4,-4), slope = -2
Oy+4 = –2(x – 4)
Oy - 4= 2(x + 4)
Oy+2 = 4(x - 4)
Oy - 2 = 4(x +4)
Terms
Answer:
first option
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = - 2 and (a, b ) = (4, - 4 ) , then
y - (- 4) = - 2(x - 4) , that is
y + 4 = - 2(x - 4)
A type of fish for your aquarium costs $9 each. You can spend at most $63.
Write an inequality to model the problem.
Answer:
9x>63$
Step-by-step explanation:
nine $ aquarium , at most > 63$
How many sixths are in one third?
Complete these equations:
sixths = 1 third
Answer:
2 sixths are in 1/3
Step-by-step explanation:
2/6 = 1/3
Answer:
2
Step-by-step explanation:
It takes two one-sixths to make a third. We can see that there are 1 × [tex]\frac{1}{6}[/tex] = 6 sixths in a whole.
Can somebody plz help answer these questions (only if u remmeber how to do this) thanks :3
WILL MARK BRAINLIEST :DDDDD!
Answer:
answer should be in the image :)
Which German city became Germany's banking center?
Berlin
Munich
Dresden
Frankfurt
Answer: D (Frankfurt)
Step-by-step explanation:
The Rothschild family started building its international banking empire in Frankfurt. The city also is the home of the European Union's central bank.
Hope This Helps!
Answer:
Your answer is 3rd option
Annie earns $320 for 8 hours of work. At that rate, how long would she have to
work to earn $1,120?
Answer:
28 hrs
Step-by-step explanation:
in 8 hrs she earns $320,
so in 1 hr she earns $320/8=$40
no. of hrs she takes to earn $1120 is,
=1120/40= 28 hrs
Annie would need to work 28 hours to earn $1,120 at the same rate.
To determine how long Annie would have to work to earn $1,120 at the same rate, we can set up a proportion based on the given information.
Let's define:
x = the number of hours Annie needs to work to earn $1,120.
According to the information given, Annie earns $320 for 8 hours of work. This can be expressed as the rate: $320/8 hours.
We can set up the proportion as follows:
320/8 = 1120/x
To solve this proportion, we can cross-multiply and then solve for x:
320x = 8 * 1120
320x = 8960
Dividing both sides of the equation by 320:
x = 8960/320
x = 28
Therefore, Annie would need to work 28 hours to earn $1,120 at the same rate.
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HURRY PLEASEE!! A new health drink has 140% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50mg. How many milligrams of the vitamin are in the drink?
Answer:
50+0.4*50
Step-by-step explanation:
Because it has 140% of the RDA and the RDA is 50, that means it has 50 and 40% or 0.4 of 50. So the answer is 70 mg.
A sweater regularly priced at $135 is on sale at 15% off. How much would you pay
for the sweater, including taxes of 13%?
There are 5,000 trout in a lake, the population decreases 2% yearly. How many trout will there be after 4 years?
Answer:
4,600
Step-by-step explanation:
First you find 2% of 5,000 which is 100 then you determine 2% every 4 years which is 100x4 which equals 400. then subtract 400 from 5,000 which gets you 4,600
Answer:
4600
Step-by-step explanation:
2% of 5000 is 100
100 x 4 = 400
5000 - 400 = 4600
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Is each statement true for ⊙A? Drag “true” or “false” below each statement.
Answer:
None was given I am sorry I can not help you. :)
Step-by-step explanation:
Jessica and two friends spent $36.93 on dinner. They left a $6.00 tip. How much money did each person spend if they split the bill and tip equally?
Answer:
14.31
Step-by-step explanation:
If a race car averages 125 miles per hour in 4 hours, how gar does the car travel? Use the number line to help you find the answer
Answer:
500 miles
Step-by-step explanation:
If in one hour you travel 125 miles then in 4 hours you would travel 125 multiplied by 4 which would give you 500.
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answer:
hi
Step-by-step explanation:
omhg hi
AREA OF A CIRCLE HELP PLS
Answer:
254.34 in²
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
d = 18 inches, so r = d/2 = 9 inches
Area = 3.14 * 9 * 9
= 254.34 in²
somebody help me out plz-
Answer:
Vertex: (2,-2)
Axis of symmetry: x=2
Step-by-step explanation:
The vertex is the maximum or minimum point of a quadratic, which we can see on the graph is (2,-2).
The axis of symmetry is the line about which the graph of the parabola is symmetric, which is the line x=2.
An item costs $15. The sales tax is 6%. What is the cost of the item after taxes?
Answer:
15.9
Step-by-step explanation:
A milk truck has a diameter of 10 and feet and a height of 50 feet. How much milk can the truck hold?
Answer:
The mentioned milk truck can hold:
3927 ft^3 of milk.Step-by-step explanation:
As you can see, the question is asking about the volume of the milk truck, to obtain the volume of a cylinder, first we must to find the area of the surface side, in this case is a circle, to find the area of a circle when we have the diameter is:
Area of a circle = [tex]\pi *\frac{\ D^{2} }{4}[/tex]Where D is the diameter given (10 feet), now we replace and operate:
Area of a circle = [tex]\pi *\frac{\ (10 ft)^{2} }{4}[/tex]Area of a circle = [tex]\pi *\frac{\ 100 ft^{2} }{4}[/tex]Area of a circle = [tex]\pi *25 ft^{2}[/tex]Area of a circle = 78.54 ft^2 approximatelyNow, with the data of the area, we can calculate the volume with the formula below:
Volume of a cylinder = Area of the circle * heightVolume of a cylinder = 78.54 ft^2 * 50 ftVolume of a cylinder = 3927 ft^3With the calculations, we can see the milk truck can hold 3927 cubic feet of milk with those dimensions.
What is the correct algebraic representation of the transformation displayed on the graph?
A- (y,-x)
B- (-y,x)
C- (-x,y)
D- (-x,-y)
Answer:
[tex]transformation: (y,-x)[/tex]
----------------------------
hope it helps...
have a great day!!
What are some websites that someone does your math assignment for you help ASAP
find the ratio in lowest terms of 20 girls and 15 boys
Answer:
4:3
Step-by-step explanation:
The ratio is 20 girls to 15 boys as it says 20:15 ,
but this is simply 4 parts to 3 parts or 4:3
HOW TO DO THIS QUESTION PLEASE
PLEASE HELP ASAP!! will mark brainlest
Answer:
B!!!!!
Step-by-step explanation:
Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.
Answer:
Step-by-step explanation:
Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.
Sheila threw the discus 24 meters, which was 0.38 meter farther than Tiesha threw the discus. How far, in meters, did Tiesha throw the discus?
Answer:
23.62 meters
Step-by-step explanation:
Find how far Tiesha threw the discus by subtracting 0.38 from 24:
24 - 0.38
= 23.62
So, Tiesha threw the discus 23.62 meters
Enter the value of 3 over 4
Answer:
1. Three fourths
2. 3/4
3. 0.75
4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75
HELP ME I BEGGGG THANK U PLEASE ITS DUE
Answer:
y=6x+24
Step-by-step explanation:
A triangle has vertices of (−3, 3), (−3, 2), and (1, −2). What are the coordinates after dilating from the origin by a scale factor of 1 2 ?
Answer:
(-1.5, 1.5), '(-1.5, 1) and (0.5, -1)
Step-by-step explanation:
Given the coordinate (x, y) If dilated by a factor k, the resulting coordinate will be (kx, ky).
Similarly given the coordinates of a triangle (−3, 3), (−3, 2), and (1, −2)
when dilated by a factor of 1/2, the new coordinates will be at;
A (-3, 3) = A'(1/2*-3, 1/2 * 3) = A'(-1.5, 1.5)
B (-3, 2) = B'(1/2*-3, 1/2 * 2) = B'(-1.5, 1)
C (1, -2) = C'(1/2*1, 1/2 * -2) = C'(0.5, -1)
A full waterbed mattress is 8 ft by 3 ft by 2 ft. The mattress is to be filled with water that weighs 62.4 lb ft3. Find the weight of the water in the mattress to the nearest pound.
Answer:
2995
Step-by-step explanation:
volume is 48^3
theres 62.4 pounds per square ft
I need help ASAP!!!
Thx!!!
Answer:
c
Step-by-step explanation:
because i said so