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the x-intercepts are simply found by setting y = 0 and then solving for "x", now, this equation doesn't factor in nice integers, so let's plug it in the quadratic formula.
[tex]\stackrel{f(x)}{0}~~ = ~~4x^2+10x-7 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (10) \pm \sqrt { (10)^2 -4(4)(-7)}}{2(4)}\implies x=\cfrac{-10\pm\sqrt{100+112}}{8}[/tex]
[tex]x=\cfrac{-10\pm\sqrt{212}}{8}\implies x=\cfrac{-10\pm 2\sqrt{53}}{8}\implies x=\cfrac{-5\pm \sqrt{53}}{4} \\\\\\ x= \begin{cases} \frac{-5 + \sqrt{53}}{4}\\\\ \frac{-5 - \sqrt{53}}{4} \end{cases}\qquad \qquad x\approx \begin{cases} 0.57\\ -3.07 \end{cases}[/tex]
Related Questions
Vectors r, s, t, u, and v are shown on the graph.
Which of the following vectors is equivalent to 2/3v (Image shown)
Answers
Looking for the best answer on this
Answers
Answer:
[tex]\tt B)\: \cfrac{x+3}{x-3}[/tex]
Step-by-step explanation:
[tex]\tt \cfrac{5x+15}{5x-15}[/tex]
Factor out the common term 5
5x+15 → 5(x+3)
5x-15 → 5(x-3):-
[tex]\tt \cfrac{5\left(x+3\right)}{5\left(x-3\right)}[/tex]
Cancel the common factor → 5
[tex]\tt \cfrac{x+3}{x-3}[/tex]
Therefore, your answer is B!!
_____________________
Rule 1: Multiply by 2, then add one third starting from 0. Rule 2: Add one half, then multiply by 4 starting from 1. What is the third ordered pair using the two sequences?
(0, 1)
(one third, 6)
(1, 26)
(two and one third, 106)
Answers
Answer:
i dont know at all im stuck to
Step-by-step explanation:
The third ordered pair using the two sequences as described in the task content is; (two and one third, 106).
What is the third ordered pair of the two sequences?It follows from the description of the task content that the third ordered pair of each sequence is as follows;
Sequence 1; 0(2)+1/3 = 1/3(2) + 1/3 = 1(2) + 1/3 = 2 1/3.Sequence 2; (1+1/2)4 = (6+1/2)4 = (26 +1/2)4 = 106.On this note, it follows that the required ordered pair is; (two and one third, 106).
Read more on sequences;
https://brainly.com/question/6561461
Which expression is equivalent to |x| < 11?
x > –11 or x < 11
x < –11 and x > 11
x < –11 or x > 11
x > –11 and x < 11
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For $1.80 a grocer buys a case of fruit which contains 12 dozen. He knows that 2 dozen will spoil before he sells them. At what price per dozen must he sell the good ones to gain 1/3 of the whole cost?
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Answer:
i didnt understand the awnser fully but if i did the awnser is 5 cents a donut
Step-by-step explanation:
10x = 1.5(1.80*12)
x = 3.24
PLEASE HELP *URGENT*
Answers
Answer: I have completed the worksheet in the image provided
Answer:
The full equation is below. :) I hope this helps! Have a lovely day/night!!
Step-by-step explanation:
[tex]\frac{z}{2} + 7 = 35\\\\-7 -7\\\\2 * \frac{z}{2} = 28 * 2\\\\z = 56[/tex]
I neeed hellppppp plissss
Answers
Answer:
I believe C is the closest equation to the graph
Step-by-step explanation:
What is the rule for 1 10 28 64 136
Answers
Answer:
2x+8
Step-by-step explanation:
The rule is 2x+8; the formula you have written and erased was correct. The next number in the sequence would be 568
what is the value of the expression 1/12 divided by 36
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Answer:
1/2÷36=1/432 maybe this is the answer
4 mg string streched and spring constant 20cm what force constant
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how many inches are in 12 ft
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Answer:
the answer is 144
Answer:
144 inches
Step-by-step explanation:
There are 12 inches in 1 foot,
So 12 times 12 is 144 inches.
use Mental Math to determine if the circumference of a circle with a radius of 5in will be greater than or less than 30 in write an argument that can be used to justify your solution
Answers
Answer:
It will be greater than 30.
Step-by-step explanation:
(Any following math is easy to do in your head and therefore mental math.)
In order to find the circumference, you multiply the diameter by pi.
The radius is half of the circumference so if you double the radius you get the circumference.
5 × 2 = 10
The default for pi is 3.14, so it's a little more than 3.
10 × 3 = 30
If just 3 is 30, then anything more ( like the 0.14), will make it over 30.
Brainliest please?
Using the common denominator, what is an equivalent fraction to 5/6
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Hey there!
ORIGINAL QUESTION: “FINDING OUT WHATS EQUIVALENT TO 5/6”
We’re NOT sure what your equation should look like so we will make it like:
5/6 = z/6
CURRENT EQUATION:
5/6 = z/6
FIRST: CROSS MULTIPLY the NUMBERS
5(6) = z(6)
5(6) = 6(z)
NEW EQUATION (TEMPORARILY)
30 = 6z
6z = 30
DIVIDE 6 to BOTH SIDES
6z/6 = 30/6
CANCEL out: 6/6 because it give you 1
KEEP: 30/6 because it help solve for the z-value
NEW EQUATION: z = 30/6
SIMPLIFY IT!
z = 5
Thus, your answer is: 5/6 = 5/6
FUN FACT: THERE IS MULTIPLE FRACTIONS THAT ARE EQUIVALENT TO THE GIVEN FRACTION.
EXAMPLE(S):
• 10/12
• 20/24
• 30/36
• 40/48
• 50/60
• 60/72
ANYWAY!
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
given f(x)= 8x+1/2x-9 what is the end behaviors of the function
Answers
The behavior of the function f(x) describes the direction of the function
The behavior of the function is as x -> ∞, f(x) -> 4 and x -> -∞, f(x) -> 4
How to determine the end behavior?The function is given as:
f(x)= 8x+1/2x-9
Start by plotting the graph of the function f(x).
From the graph (see attachment), we have the following highlights:
The function has an asymptote at y = 4This means that: as x approaches infinity or negative infinity, f(x) approaches 4Hence, the behavior of the function is as x -> ∞, f(x) -> 4 and x -> -∞, f(x) -> 4
Read more about function end behaviors at:
https://brainly.com/question/1365136
Frank got a gift for his sister and put it in a shoebox.
Note: Figure is not drawn to scale.
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 12 in, the width measures 6 in, and the height measures 5 in, how much wrapping paper does he need to cover the shoebox?
A.
648 sq in
B.
162 sq in
C.
486 sq in
D.
324 sq in
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We need TSA
2(LB+BH+LH)2(12×6+5×6+12×5)2(72+30+60)2(162)324in²Answer:
D. 324 in²
Step-by-step explanation:
Given :
Length of shoebox = 12 in
width = 6 in
height = 5 in
The Total surface area of cuboid = 2(lw + lh + wh )
=> 2 (12×5 + 12×6 + 5×6 )
=> 2( 60 + 72 + 30 )
=> 2( 162)
=> 324 in²
Please I need help!!
Answers
Answer:
Min:3 Q:66-9 Med:9 Q3:10-14 Max19
Find the exact value of tan 195°.
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[tex]\tan 195^{\circ}\\\\=\tan\left(3 \times 90^{\circ} - 75^{\circ} \right)\\\\=\cot 75^{\circ}\\\\=\left(\tan 75^{\circ} \right)^{-1}\\\\= \textbf{[}\tan \left(30^{\circ} + 45^{\circ}\right) \right \textbf{]}^{-1}\\\\=\left(\dfrac{\tan 30^{\circ} +\tan 45^{\circ}}{1- \tan 45^{\circ} \cdot \tan 30^{\circ}} \right)^{-1}\\\\\\=\left( \dfrac{\dfrac 1{\sqrt 3}+1}{1- \dfrac 1{\sqrt 3}} \right)^{-1}\\\\\\=\left( \dfrac{\sqrt 3+1}{\sqrt 3-1}\right)^{-1}\\\\\\=\dfrac{\sqrt 3-1}{\sqrt 3 +1}\\[/tex]
[tex]=\dfrac{\left( \sqrt 3-1\right)^2}{\left( \sqrt 3+1\right)\left( \sqrt 3-1\right)}\\\\\\=\dfrac{3+1-2\sqrt 3}{3-1}\\\\\\=\dfrac{4-2\sqrt 3}{2}\\\\\\=2-\sqrt 3[/tex]
please help me with this math question ( stop taking it down i did nothing wrong)
Answers
The area of the trapezoid is [tex]\frac{1}{2}(b1+b2)*h[/tex]
b1 ⇒ length of one of the bases ⇒ 3 kmb2 ⇒ length of the other base ⇒ 5 kmh ⇒ height of trapezoid ⇒ 9kmTherefore the area is:
[tex]\frac{1}{2}*(3+5)*9 =\frac{1}{2}*(8)*9=4*9=36km^2[/tex]
Area: 36 square kilometers
Hope that helps!
What is the measure of the angle?
Answers
Answer:
it a 90 degree angle hope this helps:)
Step-by-step explanation:
8. Select the expression that is equivalent to 12/48.
A. 6(8+6)
B. 12(4+1)
C. 4(44+3)
D. 8(6+4)
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Answer:
D
Step-by-step explanation:
Please help! I really need it
Answers
To find the volume of a triangular prism:
⇒ necessary to know the formula
[tex]Volume = (Area-of-Triangular- base)*(length)[/tex]
Let's first find the area of the triangular base:
⇒the formula for the finding the area of a triangle is ⇒ [tex]\frac{1}{2}bh[/tex]
b: length of base --> 3mmh: length of height: 6mmArea of the triangle is [tex]\frac{1}{2}*3*6=3*3=9[/tex]
Since the area of the triangular base is 9 and the length is 5.22
⇒ the volume is:
[tex]Volume = 9 * 5.22=46.98mm^3[/tex]
When the volume is rounded to the nearest tenth, the volume is 47.0 [tex]mm^3[/tex]
Hope that helps!
20 points if you answer please.. The container is partially filled with unit cubes. How many unit cubes fit in the container?
A drawing of a rectangular prism-shaped container partially filled with unit cubes. There are 9 cubes along the length, 7 cubes along the width, and 5 along with the height.
The container can hold
unit cubes.
Answers
Answer:
length times width times height. 9x7x5= 315 unit cubes
Step-by-step explanation:
what is 6/4 in its simplst form
Answers
Answer:
Fraction form: [tex]\frac{3}{2}[/tex]
Decimal form: 1.5
Mixed number form: 1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Find the greatest common factor between the two numbers in the fraction, in this case the largest number both can be divided by equally is 2, so,
Take [tex]\frac{6}{4}[/tex] and divide both parts by 2:
6 ÷ 2 = 3
4 ÷ 2 = 2
Which gives you [tex]\frac{3}{2}[/tex]
Please help! I wish you a good day :)
Answers
Answer:
A=p2-2p-3
Step-by-step explanation:
The area for a triangle is given by:
A=1/2bh
The base is p + 1 and the height is 2p - 6. Therefore:
A=1/2(p+1)(2p-6)
Simplify the second term:
A=(p+1)(1/2)(2p-6)=(p+1)(p-3)
Distribute:
A=p(p-3)+1(p-3)
Distribute:
A=p2-3p+p-3
Combine like terms:
A=p2-2p-3
1 yard (yd) = 3 feet (ft); 1 foot (ft) = 12 inches (in) how many inches are there in 5 yards?
Answers
Answer: 180 inches
Step-by-step explanation:
We can use dimensional analysis. Our desired units are inches per yard. Begin by writing down:
[tex]\frac{12in}{1ft}[/tex]
Then use the conversion factor of feet to yard. The units of feet will cancel giving:
[tex]\frac{12in}{1ft} *\frac{3ft}{1yd}=\frac{36in}{1yd}[/tex]
Multiply the top and bottom by 5 to get:
[tex]\frac{36in}{1yd} *\frac{5}{5} =\frac{180in}{5yd}[/tex]
what is this sphere’s volume? radius is given, please round to nearest tenth
Answers
Answer:
179.59438
rounded to the nearest tenth would be 179.6
Step-by-step explanation:
use this formula
volume = (4/3) · π · r3
Find the slope and the y intercept of the line -7x-2y=10
Answers
Answer:
Gradient = -3.5, y - intercept = ( 0 , -5 )
Step-by-step explanation:
→ Rewrite into y = mx+ c format
-2y = 7x + 10
→ Divide everything by 2
-y = 3.5x + 5
→ Multiply everything by -1
y = -3.5x - 5
4 1/2 x 2 1/2 x 8 1/2 =
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Answer:
[tex]95\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{2} * 2\frac{1}{2} * 8\frac{1}{2}[/tex] = 9/2 * 5/2 * 17/2
765/8 = [tex]95\frac{5}{8}[/tex]
When should you suggest that a peer rearrange some of the paragraphs in her report?
when you’re having trouble understanding how the sentences are related to each other
when the most convincing or persuasive evidence appears first in the report, followed by background information
when you find a section that seems unrelated to the rest of the report
Answers
The main answer:
D: when you find a section that seems unrelated to the rest of the report
Step-by-step explanation:
I don't have an explanation for this, sorry!)
Hope it helps!
F r o g
Answer:
D: when you find a section that seems unrelated to the rest of the report
Step-by-step explanation:
doess 0.6 come between 0.5 and 0.55
Answers
Answer:
no
Step-by-step explanation:
it comes after both the numbers
If you wanted to do this to make it easier, write .5 and .6 with an extra 0
Treat it as if it were a whole number
Does 60 go between 50 and 55? Your answer would be no. But just remember if you do this to remember adding a 0 at the end doesn’t change its value.