Answer:
Zeros are x = 1.5, -2.5
Step-by-step explanation:
Given function is,
F(x) = 4x² + 4x - 15
= 4(x² + x - 3.75) [Since, intercept form of a quadratic equation is the factored form of the function]
F(x) = 4(x² + 2.5x - 1.5x - 3.75)
= 4[x(x + 2.5) - 1.5(x + 2.5)]
= 4(x - 1.5)(x + 2.5)
For 'x' intercepts,
f(x) = 0
4(x - 1.5)(x + 2.5) = 0
x = 1.5, -2.5
Therefore, zeros of the given function are x = 1.5, -2.5.
What is the value of x in the equation 4(2x + 14) = 0? (1 point)
O 1) 9
0 2 7
O3) -7
4) - 9
Answer:
-7Step-by-step explanation:
Simplify the equation first:
8x+56=0
-56 on both sides
8x=-56
-56/8=-7
That's your answer: -7
A swimming pool with side lengths of 18 by 36 meters is represented on a scale drawing where 1 cm represents 1m. How long and how wide is the scale drawing of the swimming pool
Answer:
18 by 36 cm
Step-by-step explanation:
one cm represents one meter
For brainiest:):):):):):):):):)
Answer:
0.27
0.18
0.21
60 packes because it costs 18 cents per pack and others are higher cost than that.
Step-by-step explanation:
5.49/20=027
10.97/60=0.18
18.95/90=0.21
so the best value will be box of 60 packs
( -3/4 + 4/3) + i =0 Show your work. (Please help)
Answer:
i = -7/12
Step-by-step explanation:
(-3/4 + 4/3) + i = 0
(-9/12 + 16/12) + i = 0
7/12 + i = 0
i = -7/12
One side of a rectangle is 9 inches longer than another side. If
the longer side of this rectangle decreases by 5 inches, and the
shorter side increases by 3 inches, the area of the new rectangle
equals the area of the original rectangle. Find the dimensions of the
original rectangle
Plz help
Answer:
6 and 15
Step-by-step explanation:
x^2 + 9x = x^2 + 7x +12
2x = 12
x = 6
The dimension of the original rectangles are 6 inche and 15 inches.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Original rectangle:
Length = x + 9
Width = x
Area = (x + 9)x
New rectangle:
Length = (x + 9) - 5 = x + 4
Width = x + 3
Area = (x + 4)(x + 3)
Now,
(x + 9)x = (x + 4)(x + 3)
x² + 9x = x² + 3x + 4x + 12
9x = 7x + 12
9x - 7x = 12
2x = 12
x = 6
Now,
The dimension of the original rectangle.
x + 9 = 6 + 9 = 15
x = 6
Thus,
The dimensions of the rectangles are 6 inches and 15. inches
Learn more about rectangles here:
https://brainly.com/question/15019502
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The perimeter of a regular decagon is 355m.
State the length of one of its sides.
35.5m
Step-by-step explanation:
355m÷10=35.5m answer
What is 36 over 45 in simplest form
Answer:
4 over 5
Step-by-step explanation:
36 divided by 9 is 4 and 45 divided by 9 is 5. so the answer is 4/5
HELP ASAP!! Will give brainliest to first correct answer
Answer:
m(∠KJL) = 54°
Step-by-step explanation:
It's given that two sides of ΔJKL are equal in measure.
Therefore, angles opposite to the equal sides will be equal.
By triangle sum theorem in ΔJKL,
m∠KJL + m∠KLJ + m∠JKL = 180°
2(m∠KJL) + 72° = 180°
2(m∠KJL) = 180° - 72°
m∠KJL = [tex]\frac{108}{2}[/tex]
m(∠KJL) = 54°
1.) Tyler runs 2/3 of a mile in 8 minutes. At this speed, how long will it take him to run one mile?
Answer:
12 minutes
Step-by-step explanation:
Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes
Answer:
1 mile in 12 minutes
Step-by-step explanation:
2/3 mile in 8 minutes
divide by 2
1/3 mile = 4 minutes
multiply by 3
1 mile in 12 minutes
somebody pleasee help me out, I’m having trouble
Answer: y = [tex]\sqrt{x} 203\\[/tex]
Step-by-step explanation:
The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?
Not that hard, will give brainlist if correct
Answer: y = f(x - 4) - 1, lower left corner
=============================================================
Explanation:
Let's focus on only the left-most points of each curve
For the black semicircle, the left-most point is located at (-7,0). The corresponding point on the red semicircle is at (-3,-1)
To go from (-7,0) to (-3,-1), we will do two things
Shift 4 units to the rightShift 1 unit downThis can be done in any order. The action of "shift 4 units to the right" is effectively the same as shifting the xy axis 4 units to the left while keeping the curves fixed in place. This gives the illusion of movement. When we shift 4 the xy axis 4 units to the left, we're replacing each x input with x-4 as the new input.
In short, we go from f(x) to f(x-4). This is why we have this opposite motion going on.
The up and down motion is fairly straight forward. To shift 1 unit down, we subtract off 1. This is to subtract 1 from the y coordinate.
Overall, we go from y = f(x) to y = f(x - 4) - 1
Applying this transformation will move (-7,0) to (-3,-1) as described above. It will also move every other point on the black curve to their new corresponding location on the red curve.
i need help asap .
find an equivalent expression for the missing side length of a rectangle. then find the missing side length when x=3. round to the nearest tenth of an inch.
Answer:
first find the length of trangel using
h^2=p^2+b^2
Equivalent expression for the missing side length of a rectangle is [tex]\sqrt{60} x[/tex]
The missing side length when x =3 is 23.2 inch
Rectangle :In a rectangle , opposite sides are equal . The vertex of rectangle is right angle . The diagonal of rectangle forms a right angle triangle.
Given the width of the triangle is 2x. The diagonal of triangle is 8x inches
Let 'L' be the length of the rectangle
To find out the expression for the length of the triangle use pythagorean theorem
hypotenuse ^2=length ^2 + width ^2
[tex](8x)^2=L^2+(2x)^2\\64x^2+4x^2+L^2\\64x^2-4x^2=L^2\\60x^2=L^2\\L =\sqrt{60x^2}\\ L=\sqrt{60}x[/tex]
An equivalent expression for the missing side length of a rectangle
[tex]\sqrt{60} x[/tex]
find the missing side length when x=3
Substitute 3 for x
[tex]L= \sqrt{60} x\\L =\sqrt{60}(3)\\L= 23.2 inch[/tex]
Equivalent expression for the missing side length of a rectangle is [tex]\sqrt{60} x[/tex]
The missing side length when x =3 is 23.2 inch
Learn more information about 'Rectangle ' here
brainly.com/question/23008020
Alejandro makes cafe con leche using 2 parts string cofee and 3 parts whole milk
Answer: say what now?
Step-by-step explanation:
There are 12 boys and 8 girls in a class.
If 2 more girls join the class, what is
the new ratio for the number of boys to
the number of girls in the class?
A box contains 84 chocolates, of which
63 are dark chocolates. The rest are milk
chocolates. What is the ratio of milk
chocolates to the total number of chocolates
in the box?
Joshua is 11 years old, and his dad is 33
years old. What is the ratio of Joshua's
age to his dad's age?
Jemma has 24 balls. Out of the 24 balls,
12 are yellow, 4 are plik, and the rest
are red. What is the ratio of the number
of red balls to the number of balls that
are either yellow or pink?
Answer:
6 milk chocolates are expired
Step-by-step explanation:
This same question is answered by RenatoMattice. This is what the answer says:
Since we have given that
Total number of chocolates = 15
Types of chocolates are as follows:
1) Milk chocolates
2) Dark chocolates
3) Mix
According to question,
Number of milk chocolates that are expired = 6
Number of dark chocolates that are expired = 3
total number of chocolates that are expired = 6+3=9
And we have mentioned that 6 milk chocolates that are not expired.
and 9+6=15
No other chocolates are left in a case of chocolate.
so, only mentioned 6 milk chocolates are expired.
Diego scored 9 points less then Andre in the basketball game.Noah scored twice as many points as Diego.if Noah scored 10 points , how many points did Andre score
Answer:
14 points.
Step-by-step explanation:
To solve this problem, let's make an equation.
Let x represent the unknown number, or the amount of points Andre scored.
We know that Noah scored 10 points.
Noah scored twice as many points as Diego, therefore Diego must've scored 5 points, because 5 * 2 = 10.
So, if Diego scored 9 points less than Andre, and we know that Diego scored 5 points, then the equation we are left with is
x - 9 = 5
To solve, just add 9 to both sides.
x - 9 + 9 = 5 + 9
We are left with:
x = 14
So, Andre scored 14 points.
I would appreciate brainliest, if not that's ok!
Answer:
Step-by-step explanation:
5 x 5
A rectangular price tag has a perimeter of 28 centimeters. Its area is 40 square centimeters.
What are the dimensions of the price tag?
Answer:
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Step-by-step explanation:
bob is life
bob is food
bob is bob
principal is 5000 rate p.a. is 8 percent and time 1year
Answer:
5400
Step-by-step explanation:
Given data
P= 5000
r= 8%
t= 1 year
The simple interest expression is given as
A= P(1+rt)
Required
The final amount A
substitute
A= 5000(1+0.08*1)
A= 5000*1.08
A= 5400
Hence the final amount 5400
what is 4 1/2 + 3 3/4 as a fractiom
Answer:
33/4
Step-by-step explanation:
4 1/2=9/2
3 3/4=15/4
9/2+15/4=18/4+15/4=33/4
how to do this? please help
16, excursionistas tienen Proviciones Para
12 dias, si al grupo se
agregan 8 Personas
& cuantas dias duraran esas Proviciones?
y=
Answer:
para 10 dias
Step-by-step explanation:
espero te sirva
(4x – 6)°
(2x)
Equation:
X:
Answer:
x=31
Step-by-step explanation:
2x+4x-6=180
6x=180+6
6x=186
x=31
Answer:
x = 31
Step-by-step explanation:
2x and 4x - 6 are alternate angles and supplementary, sum to 180°, then
2x + 4x - 6 = 180
6x - 6 = 180 ( add 6 to both sides )
6x = 186 ( divide both sides by 6 )
x = 31
expand log7 (x^3/y)^3
a.) 9 log7 x + 3 log7 Y
b.) 9 log7 x - 3 log7 Y
c.) 9 log7 x - log7 Y
d.) 3 log7 x - 3 log7 Y
Answer:
A resposta é a C
Eu com certeza apostaria na c
Answer:
b.) 9 log7 x - 3 log7 Y
Step-by-step explanation:
[tex] log_{7}\bigg( \frac{ {x}^{3} }{y} \bigg)^{3} \\ \\ = 3log_{7}\bigg( \frac{ {x}^{3} }{y} \bigg) \\ \\ = 3log_{7} {x}^{3} - 3log_{7}y \\ \\ = 3 \times 3log_{7} {x} - 3log_{7}y \\ \\ = 9log_{7} {x} - 3log_{7}y \\ \\ [/tex]
The figure is made up of 2 cones and a cylinder. The cones and
cylinder have a 4 cm diameter.
What is the exact volume of this figure?
отпCm3
0 12cm
0 207cm
0 367cm
Answer:
This question is unsolvable because:
1) Volume can't be measured in cm (think you mean cm^3)
2) Volume of the cylinder is calculated with its height and bottom area.
We can calculate its bottom area like this: (4/2)^2*pi
But since we do not know the cylinder nor the cones' height then we can't
calculate their volume.
Please correct me if im wrong
Help me with this plss
Answer:
Yes
Step-by-step explanation:
Yes because -3 (K) is 3 points away from 0 and if you go another 3 points from 0 you get to 3 (Q)
im sorry if I was wrong.
Explain how you can use proportional reasoning to determine the whole if you know that 21 is 60% of the whole.
Step-by-step explanation:
[tex] \frac{60}{100} \times x = 21 \\ x = \frac{21}{ \frac{60}{100} } = 35 \\ [/tex]
B divided by 8= 4
What is B.
Answer
The answer is 32
Step-by-step explanation:
32/8=4
Answer:
b = 32
Step-by-step explanation:
b/8 = 4
Multiply each side by 8
b/8 * 8 = 4*8
b = 32
Help asappp please !!!
1
Which expression is equivalent to
( 16x9y-12)
?
-
can u pls help me with this question
The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function C can be represented with this set of rules:
Question: How much will it cost with 20 people?
Answer:
:)
Step-by-step explanation:
It would cost $150 for a party of 9 people and it would cost $260 for 20 people