Answer: (-3, 0) and (-1, 0)
Step-by-step explanation:
[tex]-4x^2-16x-12[/tex]
[tex]\mathrm{Rewrite\:}-16\mathrm{\:as\:}-4\cdot \:4[/tex]
[tex]\mathrm{Rewrite\:}-12\mathrm{\:as\:}-4\cdot \:3[/tex]
[tex]=-4x^2-4\cdot \:4x-4\cdot \:3[/tex]
[tex]\text{Factor out common term -4}[/tex]
[tex]=-4\left(x^2+4x+3\right)[/tex]
[tex]x^2+4x+3[/tex]
[tex]=\left(x^2+x\right)+\left(3x+3\right)[/tex]
[tex]=x\left(x+1\right)+3\left(x+1\right)[/tex]
[tex]\mathrm{Factor \ out \ common \ term \ x+1}[/tex]
[tex]=\left(x+1\right)\left(x+3\right)[/tex]
[tex]=-4\left(x+1\right)\left(x+3\right)[/tex]
Roots:
x + 3 = 0 and x + 1 = 0
x = 0 - 3 x = 0 - 1
x = -3 x = -1
Therefore, the zeroes of the function are (-3, 0) and (-1, 0)
how do you do one step equations?
PLEASE HELP THIS IS HARD
An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).
1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
What is the probability of rolling two numbers with a sum that is less than 7?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
5/12
Step-by-step explanation:
1 (1,1) (1,2) (1,3) (1,4) (1,5) -5
2 (2,1) (2,2) (2,3) (2,4) -4
3 (3,1) (3,2) (3,3) -3
4 (4,1) (4,2) -2
5 (5,1) - 1
I took each row from the table and deleted the die rolls that added up to less than 7.
(In row 1 there were 5 rolls, in row 2 there were 4 rolls, and so on)
Then add the number of rolls. (5+4+3+2+1= 15)
Find the total number of possible rolls [(6)(6)=36]
Put them in fraction form, rolls that are less than 7/total number of rolls
You get 15/36
Reduce the fraction by adding the numerator and the denominator by 3.
Your final answer is 5/12.
HELP PLEASE I REALLY SUCK AT MATH
Answer:
D is the answer because 4 goes into all of them.
The angle of elevation to a nearby tree from a point on the ground is measured to be 65 degrees. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
102feets
Step-by-step explanation:
sin 65=92÷x
0.906=92÷x
x=102
Jake has 900 cm³ of material. He uses 14. 5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4. How much more material does Jake need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jake needs an additional Choose. Cm³ of material to make the second prism.
A ratio shows the relation between two numbers. The amount of more material that is needed by Jake is 42.5 cm³.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the volume of the first prism is 14.5cm³, while the scale factor is 4. Since the scale factor is applicable to dimension, and volume is always the cube of three-dimension.
Therefore, the volume of the scaled prism will be the cube the of the volume of the first prism, which can be written as,
[tex]\rm \text{Volume of the Scaled prism}= (Scale\ factor)^3 \times \text{Volume of the first prism}[/tex]
Substitute the values,
[tex]\rm \text{Volume of the Scaled prism}= 4^3 \times 14.5 = 928\ cm^3[/tex]
Since, the volume of material with Jake is 900 cm³, while the material he has already used is 14.5 cm³, thus the volume of the material that is left with Jake is 885.5 cm³(900cm³-14.5cm³).
Now, since the material needed to make the scaled prism is 928 cm³, the amount of material that is with Jake is 885.5 cm³, therefore, the amount of the material that is needed by Jake to complete the scaled prism can be written as,
The Amount of more material Needed by Jake = Amount of material needed to make the scaled prism - Amount of material left with Jake
The Amount of more material Needed by Jake = 928 cm³ - 885.5 cm³
= 42.5 cm³
Hence, the amount of more material that is needed by Jake is 42.5 cm³.
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Kimberly has 2 1/3 bottles of milk in her refrigerator.
She used 3/4 bottle in the morning and 1 1/8 bottle in the afternoon.
How many bottles of milk does Kimberly have left over?
Answer:
1 3/20
Step-by-step explanation:
Please Help! Will Give Brainlest!
Answer:
y = - 1
Step-by-step explanation:
the midline is positioned midway between the maximum and minimum values , that is
maximum value = 2 and minimum value = - 4 , then
y = [tex]\frac{2-4}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
equation of midline is y = - 1
find the value of x in the triangle below
Answer:
√80 (Option A)⠀
Step-by-step explanation:
⠀
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
Let,
x be AC, where AC is the Hypotenuse.4 be AB, where AB is the Perpendicular.8 be BC, where BC is the Base⠀
We know that,
[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]
[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]
⠀
Therefore,
The value of x is √80The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.
So, By Pythagoras theorem
[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]
[tex]x = \sqrt{16 + 64} [/tex]
[tex]x = \sqrt{80} [/tex]
2-y^2=-14 solve for y express answer as an integer or in simplest radical form
Answer:
8
Step-by-step explanation:
y^2=-16
y= -16/1 % 2/1
y=-16/1 % 1/2
y = 8
Answer:
y=4
Step-by-step explanation:
its -y^2=-16. square root both sides to get rid of the exponent and it gives you -y=-4 which is the same as y=4
An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Answer:
2(7x-3)=9
14x-6=9
14x=9+6
14x=15
x=15/14
Hey there!
Let's solve this equation!
We have
2(7x-3)=9
Use the Distributive Property & distribute 2:
14x-6=9
Now, add 6 to both sides:
14x=15
Divide both sides by 14:
x=15/14
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
One side of a triangle is 5 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 7 units and 9 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal
Please explain your answer.
The perimeter of the triangle described in statement has a measure of 56 units long.
How to determine the perimeter of a triangle
After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:
[tex]\frac{x}{7} = \frac{x+5}{9}[/tex] (1)
Now we solve the expression for x:
9 · x = 7 · x + 35
2 · x = 35
x = 17.5
And the perimeter of the triangle is determine by summing the three sides:
p = 9 + 7 + (17.5) + (17.5 + 5)
p = 56
The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]
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12. A bakery has five different types of cookies in its display case as listed.
. Chocolate chip
. Oatmeal raisin
• Peanut butter
• Sugar
• Macadamia nut
If Cameron selects one cookie from the display case at random, what is the probability that it will be a peanut butter or sugar cookie?
Answer:
2/5
Step-by-step explanation:
Information we need to solve
Portion of peanut butter cookiesPortion of sugar cookiesTotal number of cookiesProbaility
No. of sugar and peanut butter cookies / Total cookies1 + 1 / 52/5Mathamatics What decimal is being represented by the decimal grid?
100/100 + 100/100 + 26/100 = 2 + 0,26 = 2,26
A chocolatier makes chocolate bon-bons in the shape of a sphere with a diameter of 2 cm. The chocolate used in the bon-bons has a density of 1.33 g/cm^ 3 If the chocolate used costs $0.04 per gram, how much would the chocolate for 110 bon bons cost , to the nearest cent?
The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.
What is the total amount it would cost to make 110 bon bons?The first step is to determine the gram used in making the chocolate.
Gram = density x volume
Volume = 4/3πr³
4/3 x 22/7 x (2/2)³ = 4.19cm³
Gram = 4.19cm³ x 1.33 = 5.57 g
Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52
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Rotate shape A 90° clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Step-by-step explanation:
(3,3)====(3,-3)
(3,2)====(2,-3)
(5,2)====(2,-5)
If two angles are supplementary and congruent, what is the measure of each angle?
100°
180°
90°
45°
Answer:
90
Step-by-step explanation:
supplementary angles equal 180 degrees and 90+90=180
Answer:
90°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°.
Congruent means the angles are equal to each other.
Since there are two angles, and they have to be equal to each other, we can divide 180° by 2 to find the measure of each angle.
180° / 2 = 90°
Both angles have a measure of 90°.
HELP QUICK EASY QUESTION IM JUST DUM
A factory has 10 pounds of red dye for its marbles. Each batch of
marbles uses 0.2 pound of red dye.
a. Juan says that the factory can make 5 batches of marbles with
the 10 pounds of dye. Explain why his statement is not reasonable.
Answer:
10 ÷ 0.2=50
Step-by-step explanation:
10 lbs in total. Each batch uses 0.2 lbs.
We can find how many batches can be made by dividing 10 by 0.2.
10 ÷ 0.2=50
Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.
They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.
Use the distributive property (expand) to write an equivalent expression for: 3(4x-2t). Type your answer ( I NEED THIS RIGHT AWAY PLS)
Answer:
The distributive property here is to just multiply each value by tree number outside the parenthesis.
3 ( 4x - 2t)
12x - 6t
That would be your answer.
4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.
The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.
Regular price in dollars (r)
40
45
50
55
Restaurant's price in dollars (p)
32
37
42
47
• Write an equation that represents the relationship.
С
응
р
8
Answer:
p = r-8
Step-by-step explanation:
40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants
if the surface area of a sphere is 48.3cm^2, find its diameter. PLEASE HURRY
Answer:
Step-by-step explanation:
The diameter to answer 3.92 A=4 pi r2 d=2r
Solve for x.
0.2x – 3.2
= 1.8
1
5
X = ?
Answer:
X = 25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Sofia has been saving money to buy a new computer. For her birthday, Sofia’s mother gave her twice what she had already saved. Now she has $135.
How much money did Sofia have before her birthday ?
Answer:
67.5
Step-by-step explanation:
135/2=67.5
answer is $67.50
In circle S with the measure of arc \stackrel{\Large \frown}{RT}= 156^{\circ} RT ⌢ =156 ∘ , find \text{m} \angle RSTm∠RST
The measure of arc RT in the circle S is about 60 degrees.
What is a circle?A circle is the locus of a point such that the distance from its fixed point is always constant.
The question is not complete. A similar question is attached.
From the diagram:
arc RT = 2 * ∠RUT(angle at circle center is twice angle at circumference)
arc RT = 2 * 30
arc RT = 60°
The measure of arc RT in the circle S is about 60 degrees.
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Question is in the picture:
Answer:
its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a
Step-by-step explanation:
Answer:
A ) the Value of t is greater than 8
Step-by-step explanation:
6t>48
t>48/6
t>8
multiply .( p + q ) ( p + q )
Answer:
[tex](p + q)(p + q) \\ = {p}^{2} + pq + pq + {q}^{2} \\ = {p}^{2} + {q}^{2} + 2pq \\ = {(p + q)}^{2} \\ thankyou[/tex]
What is the solution to y=-2x+7 and y=5x-7
Answer:
x-2,y= 3, it can also be written as (2 ,3)
Step-by-step explanation:
2x-7y=5x-7-2x-7=5x-75x+2x=
7+77x=14x=2y=5x-7=5*2-7=10-..
i need help with this 3n-4=17 show work
Answer:
The value of n = 7
Step-by-step explanation:
=> 3n-4=17
=> 3n = 17+4
=> 3n = 21
=> n = 21/3
=> n = 7
Answer:
n=7
Step-by-step explanation:
1. Solve
3n-4=17
3n-4+4=17+4
3n=21
3n/3=21/3
n=7
2. Check
3x7-4=17
21-4=17
17=17
Correct!
3. Answer
n=7
The amount of garbage produced in the United States varies directly with the number of people who produce it. It is estimated that on average 200 people produce 50 tons of garbage annually. Approximately how many tons of garbage are produced each year by 100,000 people?
A. 800 tons
C. 125,000 tons
B. 25,000 tons
D. 400,000 tons
Answer:
B. 25,000 tons
Step-by-step explanation:
The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.
why are the cars values modeled by exponential functions and not linear function?
What is m _BAC?
A) 40°
B) 60°
C) 70°
D) 80°