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3 years ago

What values of x will satisfy the inequality 4x + 2 > 10?

Mathematics

2 answers:

mart [117]3 years ago

5 0

Answer:

x > 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Property

Step-by-step explanation:

Step 1: Define

4x + 2 > 10

Step 2: Solve for x

Subtract 2 on both sides: 4x > 8
Divide 4 on both sides: x > 2

Here we see that any value x greater than 2 would work as a solution to the inequality.

patriot [66]3 years ago

4 0

Answer:

x > 2

Step-by-step explanation:

4x + 2 > 10

Subtract 2 from both sides;

4x > 8

Divide both sides by 4;

x > 2

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As the number of baseball cards increases, what happens to the money spent in dollars?

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Answer:

decreases

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3 years ago

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If the discriminant of an equation is zero, which of the following is true of the

miss Akunina [59]

Answer:

Step-by-step explanation:

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3 years ago

The value of 8y 2 –5y +1 when y= 1 is …………

ELEN [110]

Answer:

Step-by-step explanation:

8(1)^2 -5(1) +1

8(1) -5(1) +1

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4 0

3 years ago

Please help?

Mazyrski [523]

Answer:

$23\sqrt{3}\ un^2$

Step-by-step explanation:

Connect points I and K, K and M, M and I.

1. Find the area of triangles IJK, KLM and MNI:

$A_{\triangle IJK}=\dfrac{1}{2}\cdot IJ\cdot JK\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 2\cdot 3\cdot \dfrac{\sqrt{3}}{2}=\dfrac{3\sqrt{3}}{2}\ un^2\\ \\ \\A_{\triangle KLM}=\dfrac{1}{2}\cdot KL\cdot LM\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 8\cdot 2\cdot \dfrac{\sqrt{3}}{2}=4\sqrt{3}\ un^2\\ \\ \\A_{\triangle MNI}=\dfrac{1}{2}\cdot MN\cdot NI\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 3\cdot 8\cdot \dfrac{\sqrt{3}}{2}=6\sqrt{3}\ un^2\\ \\ \\$

2. Note that

$A_{\triangle IJK}=A_{\triangle IAK}=\dfrac{3\sqrt{3}}{2}\ un^2 \\ \\ \\A_{\triangle KLM}=A_{\triangle KAM}=4\sqrt{3}\ un^2 \\ \\ \\A_{\triangle MNI}=A_{\triangle MAI}=6\sqrt{3}\ un^2$

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

$A_{IJKLMN}=2\cdot \left(\dfrac{3\sqrt{3}}{2}+4\sqrt{3}+6\sqrt{3}\right)=23\sqrt{3}\ un^2$

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.

7 0

3 years ago

Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private n

STatiana [176]

Answer: $H_0: p=0.74\\\\ H_a:p$

Step-by-step explanation:

Let p be the population proportion for the graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.

Given : Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.

i.e. $p=0.74$

He believes that percentage is high and claims that the proportion of graduates at his college is less than the regional rate.

i.e. $p$

Since, the null hypothesis is a statement which always takes equal sign or generally shows " no difference " where as alternative hypothesis takes unequal signs.

Then, the null and alternative hypotheses for this hypothesis test :-

$H_0: p=0.74\\\\ H_a:p$

6 0

3 years ago